1 Loading libraries

library(tidyverse)
── Attaching core tidyverse packages ───────────────────────────────────────────────── tidyverse 2.0.0 ──
✔ dplyr     1.1.4     ✔ readr     2.1.5
✔ forcats   1.0.0     ✔ stringr   1.5.1
✔ ggplot2   3.5.1     ✔ tibble    3.2.1
✔ lubridate 1.9.4     ✔ tidyr     1.3.1
✔ purrr     1.0.2     ── Conflicts ─────────────────────────────────────────────────────────────────── tidyverse_conflicts() ──
✖ dplyr::filter() masks stats::filter()
✖ dplyr::lag()    masks stats::lag()
ℹ Use the ]8;;http://conflicted.r-lib.org/conflicted package]8;; to force all conflicts to become errors
library(lmerTest)
Loading required package: lme4
Loading required package: Matrix

Attaching package: ‘Matrix’

The following objects are masked from ‘package:tidyr’:

    expand, pack, unpack


Attaching package: ‘lmerTest’

The following object is masked from ‘package:lme4’:

    lmer

The following object is masked from ‘package:stats’:

    step
library(emmeans)
Welcome to emmeans.
Caution: You lose important information if you filter this package's results.
See '? untidy'
library(phonR)
library(sjPlot)
library(htmltools)
emm_options(pbkrtest.limit = 20000)
options(max.print=1000000)

2 Read dataset and manipulate

2.1 Read datasets

Arabic <- read.csv("SpeakingRate24.csv") 
Vratio <- read.csv("Vratio.csv")

2.2 Manipulations

Arabic <- subset(Arabic, select = -Arabic_phrase) ### Supprimer la colonne des phrases en arabe pour éviter les problèmes avec PdfLaTex lors de la compilation LaTex R. Sinon, utiliser XeLaTex pour l'écriture arabe. 
Arabic$CVC <- gsub(' ', '', Arabic$CVC)#supprimer les espaces 
Arabic$V <- gsub(' ', '', Arabic$V)#supprimer les espaces
Arabic$Length <- gsub(' ', '', Arabic$Length)#supprimer les espaces 

Arabic$f0ons <- as.integer(gsub('--undefined--', NA, Arabic$f0ons))
Arabic$f0mid <- as.integer(gsub('--undefined--', NA, Arabic$f0mid))
Arabic$f0off <- as.integer(gsub('--undefined--', NA, Arabic$f0off))


Arabic <- dplyr::mutate_if(Arabic, is.character, as.factor) ## Transformer tous les variables de type "character" à des facteurs. 
#Arabic <- filter(Arabic, V!="e:" & V!="o:")
Arabic$V = factor(Arabic$V, levels = c('i','a','u','i:','a:','u:','e:','o:')) ## ordonner l'ordre de l'apparition V
Arabic$C <- factor(Arabic$C, levels=c("b","d","g","t","k")) ## ordonner l'ordre de l'apparition C
Arabic$VOTi <- as.integer(Arabic$VOTi)
#Arabic$Word_V_ratio <- as.numeric(gsub(',', '.', Arabic$Word_V_ratio)) #remplacer les virgules en points dans les nombres décimaux pour pouvoir faire des calculs. 

levels(Arabic$Rate) <- list("rapide" = "fast",        # Change factor levels
                            "moyen" = "normal",
                            "lent" = "slow")
levels(Arabic$Length) <- list("longue" = "long",        # Change factor levels
                              "courte" = "short")
Arabic <- dplyr::rename(Arabic, Debit = Rate, Longueur = Length)

Arabic$F1midnor <- with(Arabic, normLobanov(F1mid)) #normalisation de F1mid et F2mid
Arabic$F2midnor <- with(Arabic, normLobanov(F2mid)) #normalisation de F1mid et F2mid

Vratio <- dplyr::rename(Vratio, Debit = Rate)

### sous-ensemble 1
ArabicSub1 <- Arabic
ArabicSub1 <- ArabicSub1 %>% 
  filter(Timbre %in% c("i", "a", "u")) %>% droplevels()

### sous-ensemble 2
ArabicSub2 <- Arabic
ArabicSub2 <- ArabicSub2 %>% 
  filter(V %in% c("i", "a", "u", "e:", "u:", "a:")) %>% droplevels()

ArabicSub2$Timbre=gsub('i','e', ArabicSub2$Timbre)
ArabicSub2$Timbre=gsub('u','o', ArabicSub2$Timbre)

ArabicSub2$Timbre= as.factor(ArabicSub2$Timbre)

3 Duration

3.1 Optimal model

3.1.1 Read Rds

lm.mod.Optimal <- readRDS("lm.mod.Optimal.Dur.Rds")

3.1.2 Summary

summary(lm.mod.Optimal)
Linear mixed model fit by REML. t-tests use Satterthwaite's method ['lmerModLmerTest']
Formula: Duration ~ Debit * V + Sex + (Debit | Speaker) + (1 | Word)
   Data: Arabic
Control: lmerControl(optimizer = "bobyqa", optCtrl = list(maxfun = 2e+05))

REML criterion at convergence: 80383.8

Scaled residuals: 
    Min      1Q  Median      3Q     Max 
-4.2077 -0.6119 -0.0016  0.5766  5.6890 

Random effects:
 Groups   Name        Variance Std.Dev. Corr       
 Word     (Intercept)  55.59    7.456              
 Speaker  (Intercept)  38.75    6.225              
          Debitmoyen   39.73    6.303   -0.20      
          Debitlent   219.88   14.828   -0.45  0.87
 Residual             249.00   15.780              
Number of obs: 9600, groups:  Word, 40; Speaker, 10

Fixed effects:
                Estimate Std. Error        df t value Pr(>|t|)    
(Intercept)      47.5375     4.2783   38.6546  11.111 1.34e-13 ***
Debitmoyen        8.6300     2.2842   14.3757   3.778  0.00195 ** 
Debitlent        19.2925     4.8200    9.9073   4.003  0.00255 ** 
Va                8.6250     4.8459   34.3878   1.780  0.08394 .  
Vu                3.3075     4.8459   34.3878   0.683  0.49947    
Vi:              29.8025     4.8459   34.3878   6.150 5.26e-07 ***
Va:              47.1900     4.8459   34.3878   9.738 2.03e-11 ***
Vu:              28.8325     4.8459   34.3878   5.950 9.59e-07 ***
Ve:              40.7625     4.8459   34.3878   8.412 7.33e-10 ***
Vo:              42.2525     4.8459   34.3878   8.719 3.13e-10 ***
Sexm              4.8051     3.2787    8.0000   1.466  0.18094    
Debitmoyen:Va     1.0775     1.5780 9517.0000   0.683  0.49473    
Debitlent:Va      0.5900     1.5780 9517.0000   0.374  0.70849    
Debitmoyen:Vu    -0.4325     1.5780 9517.0000  -0.274  0.78402    
Debitlent:Vu     -0.7275     1.5780 9517.0000  -0.461  0.64478    
Debitmoyen:Vi:    8.0375     1.5780 9517.0000   5.094 3.58e-07 ***
Debitlent:Vi:    28.5600     1.5780 9517.0000  18.099  < 2e-16 ***
Debitmoyen:Va:   14.7050     1.5780 9517.0000   9.319  < 2e-16 ***
Debitlent:Va:    37.3050     1.5780 9517.0000  23.641  < 2e-16 ***
Debitmoyen:Vu:   10.2675     1.5780 9517.0000   6.507 8.07e-11 ***
Debitlent:Vu:    31.0650     1.5780 9517.0000  19.687  < 2e-16 ***
Debitmoyen:Ve:   10.3825     1.5780 9517.0000   6.580 4.96e-11 ***
Debitlent:Ve:    32.9850     1.5780 9517.0000  20.903  < 2e-16 ***
Debitmoyen:Vo:    8.8725     1.5780 9517.0000   5.623 1.93e-08 ***
Debitlent:Vo:    33.1350     1.5780 9517.0000  20.998  < 2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Correlation matrix not shown by default, as p = 25 > 12.
Use print(x, correlation=TRUE)  or
    vcov(x)        if you need it

3.1.3 Anova

print(anova(lm.mod.Optimal))
Type III Analysis of Variance Table with Satterthwaite's method
        Sum Sq Mean Sq NumDF DenDF  F value    Pr(>F)    
Debit    17757  8878.5     2     9  35.6566 5.279e-05 ***
V       104501 14928.7     7    32  59.9546 < 2.2e-16 ***
Sex        535   534.8     1     8   2.1478    0.1809    
Debit:V 429011 30643.7    14  9517 123.0667 < 2.2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

3.1.4 Model’s fit

tab_model(lm.mod.Optimal,file="test.html")
htmltools::includeHTML("test.html")
  Duration
Predictors Estimates CI p
(Intercept) 47.54 39.15 – 55.92 <0.001
Debit [moyen] 8.63 4.15 – 13.11 <0.001
Debit [lent] 19.29 9.84 – 28.74 <0.001
Va 8.63 -0.87 – 18.12 0.075
Vu 3.31 -6.19 – 12.81 0.495
Vi 29.80 20.30 – 39.30 <0.001
Va 47.19 37.69 – 56.69 <0.001
Vu 28.83 19.33 – 38.33 <0.001
Ve 40.76 31.26 – 50.26 <0.001
Vo 42.25 32.75 – 51.75 <0.001
Sex [m] 4.81 -1.62 – 11.23 0.143
Debit [moyen] × Va 1.08 -2.02 – 4.17 0.495
Debit [lent] × Va 0.59 -2.50 – 3.68 0.708
Debit [moyen] × Vu -0.43 -3.53 – 2.66 0.784
Debit [lent] × Vu -0.73 -3.82 – 2.37 0.645
Debit [moyen] × Vi 8.04 4.94 – 11.13 <0.001
Debit [lent] × Vi 28.56 25.47 – 31.65 <0.001
Debit [moyen] × Va 14.70 11.61 – 17.80 <0.001
Debit [lent] × Va 37.30 34.21 – 40.40 <0.001
Debit [moyen] × Vu 10.27 7.17 – 13.36 <0.001
Debit [lent] × Vu 31.06 27.97 – 34.16 <0.001
Debit [moyen] × Ve 10.38 7.29 – 13.48 <0.001
Debit [lent] × Ve 32.98 29.89 – 36.08 <0.001
Debit [moyen] × Vo 8.87 5.78 – 11.97 <0.001
Debit [lent] × Vo 33.13 30.04 – 36.23 <0.001
Random Effects
σ2 249.00
τ00 Word 55.59
τ00 Speaker 38.75
τ11 Speaker.Debitmoyen 39.73
τ11 Speaker.Debitlent 219.88
ρ01 Speaker.Debitmoyen -0.20
ρ01 Speaker.Debitlent -0.45
ICC 0.37
N Speaker 10
N Word 40
Observations 9600
Marginal R2 / Conditional R2 0.697 / 0.810

3.1.5 Evaluating Model’s assumptions - normality of residuals

qqnorm(residuals(lm.mod.Optimal))
qqline(residuals(lm.mod.Optimal))

3.1.6 Pairwise Comparison

3.1.6.1 Debit

if (file.exists(file = "emmDurationDebit.Rds")){
  emmDurationDebit <- readRDS("emmDurationDebit.Rds")
}else{
  emmDurationDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit)
  saveRDS(emmDurationDebit, "emmDurationDebit.Rds")
  emmDurationDebit <- readRDS("emmDurationDebit.Rds")
}
emmDurationDebit
$emmeans
 Debit  emmean   SE   df lower.CL upper.CL
 rapide   75.0 2.31 14.3     70.1     80.0
 moyen    90.3 2.78 12.2     84.2     96.3
 lent    114.7 4.35 10.1    105.0    124.4

Results are averaged over the levels of: V, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast       estimate   SE df t.ratio p.value
 rapide - moyen    -15.2 2.03  9  -7.503  0.0001
 rapide - lent     -39.7 4.71  9  -8.427  <.0001
 moyen - lent      -24.4 3.14  9  -7.767  0.0001

Results are averaged over the levels of: V, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 3 estimates 

3.1.6.2 V

if (file.exists(file = "emmDurationV.Rds")){
  emmDurationV <- readRDS("emmDurationV.Rds")
}else{
  emmDurationV <- emmeans(lm.mod.Optimal, specs = pairwise ~ V)
  saveRDS(emmDurationDebit, "emmDurationV.Rds")
  emmDurationV <- readRDS("emmDurationV.Rds")
}
emmDurationV
$emmeans
 V  emmean   SE   df lower.CL upper.CL
 i    59.2 4.07 37.2     51.0     67.5
 a    68.4 4.07 37.2     60.2     76.7
 u    62.2 4.07 37.2     53.9     70.4
 i:  101.2 4.07 37.2     93.0    109.5
 a:  123.8 4.07 37.2    115.5    132.0
 u:  101.9 4.07 37.2     93.6    110.1
 e:  114.5 4.07 37.2    106.2    122.7
 o:  115.5 4.07 37.2    107.3    123.7

Results are averaged over the levels of: Debit, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast estimate   SE df t.ratio p.value
 i - a      -9.181 4.76 32  -1.929  0.5423
 i - u      -2.921 4.76 32  -0.614  0.9984
 i - i:    -42.002 4.76 32  -8.825  <.0001
 i - a:    -64.527 4.76 32 -13.558  <.0001
 i - u:    -42.610 4.76 32  -8.953  <.0001
 i - e:    -55.218 4.76 32 -11.602  <.0001
 i - o:    -56.255 4.76 32 -11.820  <.0001
 a - u       6.260 4.76 32   1.315  0.8863
 a - i:    -32.821 4.76 32  -6.896  <.0001
 a - a:    -55.346 4.76 32 -11.629  <.0001
 a - u:    -33.429 4.76 32  -7.024  <.0001
 a - e:    -46.038 4.76 32  -9.673  <.0001
 a - o:    -47.074 4.76 32  -9.891  <.0001
 u - i:    -39.081 4.76 32  -8.211  <.0001
 u - a:    -61.606 4.76 32 -12.944  <.0001
 u - u:    -39.689 4.76 32  -8.339  <.0001
 u - e:    -52.297 4.76 32 -10.988  <.0001
 u - o:    -53.334 4.76 32 -11.206  <.0001
 i: - a:   -22.525 4.76 32  -4.733  0.0010
 i: - u:    -0.608 4.76 32  -0.128  1.0000
 i: - e:   -13.217 4.76 32  -2.777  0.1368
 i: - o:   -14.253 4.76 32  -2.995  0.0867
 a: - u:    21.917 4.76 32   4.605  0.0014
 a: - e:     9.308 4.76 32   1.956  0.5253
 a: - o:     8.272 4.76 32   1.738  0.6637
 u: - e:   -12.608 4.76 32  -2.649  0.1759
 u: - o:   -13.645 4.76 32  -2.867  0.1138
 e: - o:    -1.037 4.76 32  -0.218  1.0000

Results are averaged over the levels of: Debit, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 8 estimates 

3.1.6.3 Debit x V

if (file.exists(file = "emmDurationDebitV.Rds")){
  emmDurationDebitV <- readRDS("emmDurationDebitV.Rds")
}else{
  emmDurationDebitV <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit:V)
  saveRDS(emmDurationDebitV, "emmDurationDebitV.Rds")
  emmDurationDebitV <- readRDS("emmDurationDebitV.Rds")
}
emmDurationDebitV
$emmeans
 Debit  V  emmean   SE   df lower.CL upper.CL
 rapide i    49.9 3.95 41.1     42.0     57.9
 moyen  i    58.6 4.24 36.7     50.0     67.2
 lent   i    69.2 5.41 21.6     58.0     80.5
 rapide a    58.6 3.95 41.1     50.6     66.5
 moyen  a    68.3 4.24 36.7     59.7     76.9
 lent   a    78.4 5.41 21.6     67.2     89.7
 rapide u    53.2 3.95 41.1     45.3     61.2
 moyen  u    61.4 4.24 36.7     52.8     70.0
 lent   u    71.8 5.41 21.6     60.6     83.0
 rapide i:   79.7 3.95 41.1     71.8     87.7
 moyen  i:   96.4 4.24 36.7     87.8    105.0
 lent   i:  127.6 5.41 21.6    116.4    138.8
 rapide a:   97.1 3.95 41.1     89.1    105.1
 moyen  a:  120.5 4.24 36.7    111.9    129.1
 lent   a:  153.7 5.41 21.6    142.5    165.0
 rapide u:   78.8 3.95 41.1     70.8     86.8
 moyen  u:   97.7 4.24 36.7     89.1    106.3
 lent   u:  129.1 5.41 21.6    117.9    140.4
 rapide e:   90.7 3.95 41.1     82.7     98.7
 moyen  e:  109.7 4.24 36.7    101.1    118.3
 lent   e:  143.0 5.41 21.6    131.8    154.2
 rapide o:   92.2 3.95 41.1     84.2    100.2
 moyen  o:  109.7 4.24 36.7    101.1    118.3
 lent   o:  144.6 5.41 21.6    133.4    155.8

Results are averaged over the levels of: Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast              estimate   SE    df t.ratio p.value
 rapide i - moyen i      -8.630 2.28 14.38  -3.778  0.1318
 rapide i - lent i      -19.293 4.82  9.91  -4.003  0.1287
 rapide i - rapide a     -8.625 4.85 34.39  -1.780  0.9744
 rapide i - moyen a     -18.332 5.24 42.04  -3.499  0.1264
 rapide i - lent a      -28.508 6.74 29.32  -4.228  0.0290
 rapide i - rapide u     -3.308 4.85 34.39  -0.683  1.0000
 rapide i - moyen u     -11.505 5.24 42.04  -2.196  0.8505
 rapide i - lent u      -21.872 6.74 29.32  -3.244  0.2357
 rapide i - rapide i:   -29.802 4.85 34.39  -6.150  0.0001
 rapide i - moyen i:    -46.470 5.24 42.04  -8.869  <.0001
 rapide i - lent i:     -77.655 6.74 29.32 -11.516  <.0001
 rapide i - rapide a:   -47.190 4.85 34.39  -9.738  <.0001
 rapide i - moyen a:    -70.525 5.24 42.04 -13.460  <.0001
 rapide i - lent a:    -103.787 6.74 29.32 -15.392  <.0001
 rapide i - rapide u:   -28.832 4.85 34.39  -5.950  0.0002
 rapide i - moyen u:    -47.730 5.24 42.04  -9.109  <.0001
 rapide i - lent u:     -79.190 6.74 29.32 -11.744  <.0001
 rapide i - rapide e:   -40.763 4.85 34.39  -8.412  <.0001
 rapide i - moyen e:    -59.775 5.24 42.04 -11.408  <.0001
 rapide i - lent e:     -93.040 6.74 29.32 -13.798  <.0001
 rapide i - rapide o:   -42.252 4.85 34.39  -8.719  <.0001
 rapide i - moyen o:    -59.755 5.24 42.04 -11.404  <.0001
 rapide i - lent o:     -94.680 6.74 29.32 -14.041  <.0001
 moyen i - lent i       -10.662 3.31 11.09  -3.220  0.3210
 moyen i - rapide a       0.005 5.24 42.04   0.001  1.0000
 moyen i - moyen a       -9.703 4.85 34.39  -2.002  0.9239
 moyen i - lent a       -19.878 5.76 41.02  -3.450  0.1421
 moyen i - rapide u       5.322 5.24 42.04   1.016  1.0000
 moyen i - moyen u       -2.875 4.85 34.39  -0.593  1.0000
 moyen i - lent u       -13.242 5.76 41.02  -2.298  0.7961
 moyen i - rapide i:    -21.172 5.24 42.04  -4.041  0.0334
 moyen i - moyen i:     -37.840 4.85 34.39  -7.809  <.0001
 moyen i - lent i:      -69.025 5.76 41.02 -11.978  <.0001
 moyen i - rapide a:    -38.560 5.24 42.04  -7.359  <.0001
 moyen i - moyen a:     -61.895 4.85 34.39 -12.773  <.0001
 moyen i - lent a:      -95.157 5.76 41.02 -16.513  <.0001
 moyen i - rapide u:    -20.203 5.24 42.04  -3.856  0.0539
 moyen i - moyen u:     -39.100 4.85 34.39  -8.069  <.0001
 moyen i - lent u:      -70.560 5.76 41.02 -12.245  <.0001
 moyen i - rapide e:    -32.133 5.24 42.04  -6.132  0.0001
 moyen i - moyen e:     -51.145 4.85 34.39 -10.554  <.0001
 moyen i - lent e:      -84.410 5.76 41.02 -14.648  <.0001
 moyen i - rapide o:    -33.623 5.24 42.04  -6.417  <.0001
 moyen i - moyen o:     -51.125 4.85 34.39 -10.550  <.0001
 moyen i - lent o:      -86.050 5.76 41.02 -14.933  <.0001
 lent i - rapide a       10.668 6.74 29.32   1.582  0.9922
 lent i - moyen a         0.960 5.76 41.02   0.167  1.0000
 lent i - lent a         -9.215 4.85 34.39  -1.902  0.9515
 lent i - rapide u       15.985 6.74 29.32   2.371  0.7484
 lent i - moyen u         7.787 5.76 41.02   1.351  0.9992
 lent i - lent u         -2.580 4.85 34.39  -0.532  1.0000
 lent i - rapide i:     -10.510 6.74 29.32  -1.559  0.9935
 lent i - moyen i:      -27.177 5.76 41.02  -4.716  0.0052
 lent i - lent i:       -58.362 4.85 34.39 -12.044  <.0001
 lent i - rapide a:     -27.898 6.74 29.32  -4.137  0.0359
 lent i - moyen a:      -51.233 5.76 41.02  -8.891  <.0001
 lent i - lent a:       -84.495 4.85 34.39 -17.437  <.0001
 lent i - rapide u:      -9.540 6.74 29.32  -1.415  0.9980
 lent i - moyen u:      -28.438 5.76 41.02  -4.935  0.0027
 lent i - lent u:       -59.898 4.85 34.39 -12.361  <.0001
 lent i - rapide e:     -21.470 6.74 29.32  -3.184  0.2619
 lent i - moyen e:      -40.483 5.76 41.02  -7.025  <.0001
 lent i - lent e:       -73.748 4.85 34.39 -15.219  <.0001
 lent i - rapide o:     -22.960 6.74 29.32  -3.405  0.1747
 lent i - moyen o:      -40.462 5.76 41.02  -7.022  <.0001
 lent i - lent o:       -75.388 4.85 34.39 -15.557  <.0001
 rapide a - moyen a      -9.707 2.28 14.38  -4.250  0.0620
 rapide a - lent a      -19.883 4.82  9.91  -4.125  0.1101
 rapide a - rapide u      5.317 4.85 34.39   1.097  1.0000
 rapide a - moyen u      -2.880 5.24 42.04  -0.550  1.0000
 rapide a - lent u      -13.248 6.74 29.32  -1.965  0.9320
 rapide a - rapide i:   -21.177 4.85 34.39  -4.370  0.0170
 rapide a - moyen i:    -37.845 5.24 42.04  -7.223  <.0001
 rapide a - lent i:     -69.030 6.74 29.32 -10.237  <.0001
 rapide a - rapide a:   -38.565 4.85 34.39  -7.958  <.0001
 rapide a - moyen a:    -61.900 5.24 42.04 -11.814  <.0001
 rapide a - lent a:     -95.162 6.74 29.32 -14.113  <.0001
 rapide a - rapide u:   -20.207 4.85 34.39  -4.170  0.0284
 rapide a - moyen u:    -39.105 5.24 42.04  -7.463  <.0001
 rapide a - lent u:     -70.565 6.74 29.32 -10.465  <.0001
 rapide a - rapide e:   -32.138 4.85 34.39  -6.632  <.0001
 rapide a - moyen e:    -51.150 5.24 42.04  -9.762  <.0001
 rapide a - lent e:     -84.415 6.74 29.32 -12.519  <.0001
 rapide a - rapide o:   -33.627 4.85 34.39  -6.939  <.0001
 rapide a - moyen o:    -51.130 5.24 42.04  -9.758  <.0001
 rapide a - lent o:     -86.055 6.74 29.32 -12.762  <.0001
 moyen a - lent a       -10.175 3.31 11.09  -3.072  0.3807
 moyen a - rapide u      15.025 5.24 42.04   2.868  0.4201
 moyen a - moyen u        6.827 4.85 34.39   1.409  0.9984
 moyen a - lent u        -3.540 5.76 41.02  -0.614  1.0000
 moyen a - rapide i:    -11.470 5.24 42.04  -2.189  0.8537
 moyen a - moyen i:     -28.137 4.85 34.39  -5.807  0.0003
 moyen a - lent i:      -59.322 5.76 41.02 -10.295  <.0001
 moyen a - rapide a:    -28.858 5.24 42.04  -5.507  0.0004
 moyen a - moyen a:     -52.193 4.85 34.39 -10.771  <.0001
 moyen a - lent a:      -85.455 5.76 41.02 -14.830  <.0001
 moyen a - rapide u:    -10.500 5.24 42.04  -2.004  0.9271
 moyen a - moyen u:     -29.398 4.85 34.39  -6.067  0.0001
 moyen a - lent u:      -60.858 5.76 41.02 -10.561  <.0001
 moyen a - rapide e:    -22.430 5.24 42.04  -4.281  0.0174
 moyen a - moyen e:     -41.443 4.85 34.39  -8.552  <.0001
 moyen a - lent e:      -74.707 5.76 41.02 -12.965  <.0001
 moyen a - rapide o:    -23.920 5.24 42.04  -4.565  0.0078
 moyen a - moyen o:     -41.422 4.85 34.39  -8.548  <.0001
 moyen a - lent o:      -76.347 5.76 41.02 -13.249  <.0001
 lent a - rapide u       25.200 6.74 29.32   3.737  0.0886
 lent a - moyen u        17.003 5.76 41.02   2.951  0.3693
 lent a - lent u          6.635 4.85 34.39   1.369  0.9989
 lent a - rapide i:      -1.295 6.74 29.32  -0.192  1.0000
 lent a - moyen i:      -17.962 5.76 41.02  -3.117  0.2769
 lent a - lent i:       -49.148 4.85 34.39 -10.142  <.0001
 lent a - rapide a:     -18.683 6.74 29.32  -2.771  0.4920
 lent a - moyen a:      -42.017 5.76 41.02  -7.292  <.0001
 lent a - lent a:       -75.280 4.85 34.39 -15.535  <.0001
 lent a - rapide u:      -0.325 6.74 29.32  -0.048  1.0000
 lent a - moyen u:      -19.223 5.76 41.02  -3.336  0.1808
 lent a - lent u:       -50.682 4.85 34.39 -10.459  <.0001
 lent a - rapide e:     -12.255 6.74 29.32  -1.817  0.9662
 lent a - moyen e:      -31.267 5.76 41.02  -5.426  0.0006
 lent a - lent e:       -64.532 4.85 34.39 -13.317  <.0001
 lent a - rapide o:     -13.745 6.74 29.32  -2.038  0.9084
 lent a - moyen o:      -31.247 5.76 41.02  -5.423  0.0006
 lent a - lent o:       -66.172 4.85 34.39 -13.655  <.0001
 rapide u - moyen u      -8.197 2.28 14.38  -3.589  0.1759
 rapide u - lent u      -18.565 4.82  9.91  -3.852  0.1557
 rapide u - rapide i:   -26.495 4.85 34.39  -5.468  0.0008
 rapide u - moyen i:    -43.163 5.24 42.04  -8.238  <.0001
 rapide u - lent i:     -74.347 6.74 29.32 -11.026  <.0001
 rapide u - rapide a:   -43.883 4.85 34.39  -9.056  <.0001
 rapide u - moyen a:    -67.218 5.24 42.04 -12.828  <.0001
 rapide u - lent a:    -100.480 6.74 29.32 -14.901  <.0001
 rapide u - rapide u:   -25.525 4.85 34.39  -5.267  0.0015
 rapide u - moyen u:    -44.422 5.24 42.04  -8.478  <.0001
 rapide u - lent u:     -75.882 6.74 29.32 -11.253  <.0001
 rapide u - rapide e:   -37.455 4.85 34.39  -7.729  <.0001
 rapide u - moyen e:    -56.468 5.24 42.04 -10.777  <.0001
 rapide u - lent e:     -89.733 6.74 29.32 -13.307  <.0001
 rapide u - rapide o:   -38.945 4.85 34.39  -8.037  <.0001
 rapide u - moyen o:    -56.447 5.24 42.04 -10.773  <.0001
 rapide u - lent o:     -91.373 6.74 29.32 -13.550  <.0001
 moyen u - lent u       -10.367 3.31 11.09  -3.130  0.3563
 moyen u - rapide i:    -18.297 5.24 42.04  -3.492  0.1283
 moyen u - moyen i:     -34.965 4.85 34.39  -7.215  <.0001
 moyen u - lent i:      -66.150 5.76 41.02 -11.480  <.0001
 moyen u - rapide a:    -35.685 5.24 42.04  -6.810  <.0001
 moyen u - moyen a:     -59.020 4.85 34.39 -12.179  <.0001
 moyen u - lent a:      -92.282 5.76 41.02 -16.015  <.0001
 moyen u - rapide u:    -17.328 5.24 42.04  -3.307  0.1906
 moyen u - moyen u:     -36.225 4.85 34.39  -7.475  <.0001
 moyen u - lent u:      -67.685 5.76 41.02 -11.746  <.0001
 moyen u - rapide e:    -29.258 5.24 42.04  -5.584  0.0003
 moyen u - moyen e:     -48.270 4.85 34.39  -9.961  <.0001
 moyen u - lent e:      -81.535 5.76 41.02 -14.149  <.0001
 moyen u - rapide o:    -30.747 5.24 42.04  -5.868  0.0001
 moyen u - moyen o:     -48.250 4.85 34.39  -9.957  <.0001
 moyen u - lent o:      -83.175 5.76 41.02 -14.434  <.0001
 lent u - rapide i:      -7.930 6.74 29.32  -1.176  0.9999
 lent u - moyen i:      -24.598 5.76 41.02  -4.269  0.0185
 lent u - lent i:       -55.782 4.85 34.39 -11.511  <.0001
 lent u - rapide a:     -25.317 6.74 29.32  -3.755  0.0854
 lent u - moyen a:      -48.653 5.76 41.02  -8.443  <.0001
 lent u - lent a:       -81.915 4.85 34.39 -16.904  <.0001
 lent u - rapide u:      -6.960 6.74 29.32  -1.032  1.0000
 lent u - moyen u:      -25.858 5.76 41.02  -4.487  0.0100
 lent u - lent u:       -57.318 4.85 34.39 -11.828  <.0001
 lent u - rapide e:     -18.890 6.74 29.32  -2.801  0.4725
 lent u - moyen e:      -37.903 5.76 41.02  -6.578  <.0001
 lent u - lent e:       -71.168 4.85 34.39 -14.686  <.0001
 lent u - rapide o:     -20.380 6.74 29.32  -3.022  0.3423
 lent u - moyen o:      -37.883 5.76 41.02  -6.574  <.0001
 lent u - lent o:       -72.808 4.85 34.39 -15.025  <.0001
 rapide i: - moyen i:   -16.668 2.28 14.38  -7.297  0.0004
 rapide i: - lent i:    -47.852 4.82  9.91  -9.928  0.0002
 rapide i: - rapide a:  -17.387 4.85 34.39  -3.588  0.1126
 rapide i: - moyen a:   -40.722 5.24 42.04  -7.772  <.0001
 rapide i: - lent a:    -73.985 6.74 29.32 -10.972  <.0001
 rapide i: - rapide u:    0.970 4.85 34.39   0.200  1.0000
 rapide i: - moyen u:   -17.927 5.24 42.04  -3.421  0.1498
 rapide i: - lent u:    -49.388 6.74 29.32  -7.324  <.0001
 rapide i: - rapide e:  -10.960 4.85 34.39  -2.262  0.8129
 rapide i: - moyen e:   -29.973 5.24 42.04  -5.720  0.0002
 rapide i: - lent e:    -63.237 6.74 29.32  -9.378  <.0001
 rapide i: - rapide o:  -12.450 4.85 34.39  -2.569  0.6230
 rapide i: - moyen o:   -29.953 5.24 42.04  -5.716  0.0002
 rapide i: - lent o:    -64.877 6.74 29.32  -9.621  <.0001
 moyen i: - lent i:     -31.185 3.31 11.09  -9.416  0.0001
 moyen i: - rapide a:    -0.720 5.24 42.04  -0.137  1.0000
 moyen i: - moyen a:    -24.055 4.85 34.39  -4.964  0.0034
 moyen i: - lent a:     -57.318 5.76 41.02  -9.947  <.0001
 moyen i: - rapide u:    17.637 5.24 42.04   3.366  0.1686
 moyen i: - moyen u:     -1.260 4.85 34.39  -0.260  1.0000
 moyen i: - lent u:     -32.720 5.76 41.02  -5.678  0.0003
 moyen i: - rapide e:     5.707 5.24 42.04   1.089  1.0000
 moyen i: - moyen e:    -13.305 4.85 34.39  -2.746  0.5047
 moyen i: - lent e:     -46.570 5.76 41.02  -8.082  <.0001
 moyen i: - rapide o:     4.218 5.24 42.04   0.805  1.0000
 moyen i: - moyen o:    -13.285 4.85 34.39  -2.742  0.5074
 moyen i: - lent o:     -48.210 5.76 41.02  -8.366  <.0001
 lent i: - rapide a:     30.465 6.74 29.32   4.518  0.0143
 lent i: - moyen a:       7.130 5.76 41.02   1.237  0.9998
 lent i: - lent a:      -26.133 4.85 34.39  -5.393  0.0010
 lent i: - rapide u:     48.822 6.74 29.32   7.240  <.0001
 lent i: - moyen u:      29.925 5.76 41.02   5.193  0.0012
 lent i: - lent u:       -1.535 4.85 34.39  -0.317  1.0000
 lent i: - rapide e:     36.892 6.74 29.32   5.471  0.0012
 lent i: - moyen e:      17.880 5.76 41.02   3.103  0.2842
 lent i: - lent e:      -15.385 4.85 34.39  -3.175  0.2573
 lent i: - rapide o:     35.403 6.74 29.32   5.250  0.0022
 lent i: - moyen o:      17.900 5.76 41.02   3.106  0.2824
 lent i: - lent o:      -17.025 4.85 34.39  -3.513  0.1321
 rapide a: - moyen a:   -23.335 2.28 14.38 -10.216  <.0001
 rapide a: - lent a:    -56.597 4.82  9.91 -11.742  <.0001
 rapide a: - rapide u:   18.358 4.85 34.39   3.788  0.0718
 rapide a: - moyen u:    -0.540 5.24 42.04  -0.103  1.0000
 rapide a: - lent u:    -32.000 6.74 29.32  -4.746  0.0081
 rapide a: - rapide e:    6.428 4.85 34.39   1.326  0.9993
 rapide a: - moyen e:   -12.585 5.24 42.04  -2.402  0.7342
 rapide a: - lent e:    -45.850 6.74 29.32  -6.800  <.0001
 rapide a: - rapide o:    4.938 4.85 34.39   1.019  1.0000
 rapide a: - moyen o:   -12.565 5.24 42.04  -2.398  0.7366
 rapide a: - lent o:    -47.490 6.74 29.32  -7.043  <.0001
 moyen a: - lent a:     -33.263 3.31 11.09 -10.044  0.0001
 moyen a: - rapide u:    41.693 5.24 42.04   7.957  <.0001
 moyen a: - moyen u:     22.795 4.85 34.39   4.704  0.0070
 moyen a: - lent u:      -8.665 5.76 41.02  -1.504  0.9967
 moyen a: - rapide e:    29.762 5.24 42.04   5.680  0.0003
 moyen a: - moyen e:     10.750 4.85 34.39   2.218  0.8353
 moyen a: - lent e:     -22.515 5.76 41.02  -3.907  0.0481
 moyen a: - rapide o:    28.273 5.24 42.04   5.396  0.0006
 moyen a: - moyen o:     10.770 4.85 34.39   2.223  0.8332
 moyen a: - lent o:     -24.155 5.76 41.02  -4.192  0.0228
 lent a: - rapide u:     74.955 6.74 29.32  11.116  <.0001
 lent a: - moyen u:      56.057 5.76 41.02   9.728  <.0001
 lent a: - lent u:       24.598 4.85 34.39   5.076  0.0025
 lent a: - rapide e:     63.025 6.74 29.32   9.347  <.0001
 lent a: - moyen e:      44.013 5.76 41.02   7.638  <.0001
 lent a: - lent e:       10.748 4.85 34.39   2.218  0.8355
 lent a: - rapide o:     61.535 6.74 29.32   9.126  <.0001
 lent a: - moyen o:      44.032 5.76 41.02   7.641  <.0001
 lent a: - lent o:        9.107 4.85 34.39   1.879  0.9565
 rapide u: - moyen u:   -18.898 2.28 14.38  -8.273  0.0001
 rapide u: - lent u:    -50.358 4.82  9.91 -10.448  0.0001
 rapide u: - rapide e:  -11.930 4.85 34.39  -2.462  0.6938
 rapide u: - moyen e:   -30.942 5.24 42.04  -5.905  0.0001
 rapide u: - lent e:    -64.207 6.74 29.32  -9.522  <.0001
 rapide u: - rapide o:  -13.420 4.85 34.39  -2.769  0.4890
 rapide u: - moyen o:   -30.922 5.24 42.04  -5.902  0.0001
 rapide u: - lent o:    -65.847 6.74 29.32  -9.765  <.0001
 moyen u: - lent u:     -31.460 3.31 11.09  -9.499  0.0001
 moyen u: - rapide e:     6.968 5.24 42.04   1.330  0.9994
 moyen u: - moyen e:    -12.045 4.85 34.39  -2.486  0.6784
 moyen u: - lent e:     -45.310 5.76 41.02  -7.863  <.0001
 moyen u: - rapide o:     5.478 5.24 42.04   1.045  1.0000
 moyen u: - moyen o:    -12.025 4.85 34.39  -2.482  0.6811
 moyen u: - lent o:     -46.950 5.76 41.02  -8.148  <.0001
 lent u: - rapide e:     38.428 6.74 29.32   5.699  0.0007
 lent u: - moyen e:      19.415 5.76 41.02   3.369  0.1686
 lent u: - lent e:      -13.850 4.85 34.39  -2.858  0.4320
 lent u: - rapide o:     36.938 6.74 29.32   5.478  0.0012
 lent u: - moyen o:      19.435 5.76 41.02   3.373  0.1674
 lent u: - lent o:      -15.490 4.85 34.39  -3.197  0.2474
 rapide e: - moyen e:   -19.012 2.28 14.38  -8.323  0.0001
 rapide e: - lent e:    -52.278 4.82  9.91 -10.846  0.0001
 rapide e: - rapide o:   -1.490 4.85 34.39  -0.307  1.0000
 rapide e: - moyen o:   -18.992 5.24 42.04  -3.625  0.0947
 rapide e: - lent o:    -53.917 6.74 29.32  -7.996  <.0001
 moyen e: - lent e:     -33.265 3.31 11.09 -10.044  0.0001
 moyen e: - rapide o:    17.523 5.24 42.04   3.344  0.1765
 moyen e: - moyen o:      0.020 4.85 34.39   0.004  1.0000
 moyen e: - lent o:     -34.905 5.76 41.02  -6.057  0.0001
 lent e: - rapide o:     50.788 6.74 29.32   7.532  <.0001
 lent e: - moyen o:      33.285 5.76 41.02   5.776  0.0002
 lent e: - lent o:       -1.640 4.85 34.39  -0.338  1.0000
 rapide o: - moyen o:   -17.503 2.28 14.38  -7.662  0.0003
 rapide o: - lent o:    -52.428 4.82  9.91 -10.877  0.0001
 moyen o: - lent o:     -34.925 3.31 11.09 -10.546  <.0001

Results are averaged over the levels of: Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 24 estimates 

4 Vratio

4.1 Optimal model

4.1.1 Read Rds

lm.mod.Optimal <- readRDS("lm.mod.Optimal.Vratio.Rds")

4.1.2 Summary

summary(lm.mod.Optimal)
Linear mixed model fit by REML. t-tests use Satterthwaite's method ['lmerModLmerTest']
Formula: Vratio ~ Debit + Timbre + Sex + (Debit | Speaker)
   Data: Vratio
Control: lmerControl(optimizer = "bobyqa", optCtrl = list(maxfun = 2e+05))

REML criterion at convergence: 2830.3

Scaled residuals: 
    Min      1Q  Median      3Q     Max 
-3.0014 -0.6485 -0.0918  0.5088  7.6454 

Random effects:
 Groups   Name        Variance Std.Dev. Corr       
 Speaker  (Intercept) 0.03978  0.1995              
          Debitnormal 0.01245  0.1116   -0.51      
          Debitslow   0.03134  0.1770   -0.56  0.89
 Residual             0.12494  0.3535              
Number of obs: 3600, groups:  Speaker, 9

Fixed effects:
              Estimate Std. Error         df t value Pr(>|t|)    
(Intercept)  1.718e+00  6.902e-02  8.804e+00  24.888 1.82e-09 ***
Debitnormal  7.926e-02  4.000e-02  7.847e+00   1.982  0.08354 .  
Debitslow    2.840e-01  6.083e-02  7.943e+00   4.669  0.00164 ** 
Timbrei     -8.841e-02  1.443e-02  3.570e+03  -6.127 9.96e-10 ***
Timbreu     -1.704e-01  1.443e-02  3.570e+03 -11.812  < 2e-16 ***
Sexm         9.659e-04  2.571e-02  1.858e+03   0.038  0.97004    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Correlation of Fixed Effects:
            (Intr) Dbtnrm Dbtslw Timbrei Timbreu
Debitnormal -0.495                              
Debitslow   -0.549  0.849                       
Timbrei     -0.105  0.000  0.000                
Timbreu     -0.105  0.000  0.000  0.500         
Sexm        -0.186  0.000  0.000  0.000   0.000 

4.1.3 Anova

print(anova(lm.mod.Optimal))
Type III Analysis of Variance Table with Satterthwaite's method
        Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
Debit   4.4915  2.2458     2    7.8 17.9744  0.001182 ** 
Timbre 17.4400  8.7200     2 3569.9 69.7924 < 2.2e-16 ***
Sex     0.0002  0.0002     1 1858.0  0.0014  0.970035    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

4.1.4 Model’s fit

tab_model(lm.mod.Optimal,file="test.html")
htmltools::includeHTML("test.html")
  Vratio
Predictors Estimates CI p
(Intercept) 1.72 1.58 – 1.85 <0.001
Debit [normal] 0.08 0.00 – 0.16 0.048
Debit [slow] 0.28 0.16 – 0.40 <0.001
Timbre [i] -0.09 -0.12 – -0.06 <0.001
Timbre [u] -0.17 -0.20 – -0.14 <0.001
Sex [m] 0.00 -0.05 – 0.05 0.970
Random Effects
σ2 0.12
τ00 Speaker 0.04
τ11 Speaker.Debitnormal 0.01
τ11 Speaker.Debitslow 0.03
ρ01 -0.51
-0.56
ICC 0.21
N Speaker 9
Observations 3600
Marginal R2 / Conditional R2 0.108 / 0.297

4.1.5 Evaluating Model’s assumptions - normality of residuals

qqnorm(residuals(lm.mod.Optimal))
qqline(residuals(lm.mod.Optimal))

4.1.6 Pairwise Comparison

4.1.6.1 Debit

if (file.exists(file = "emmVratioDebit.Rds")){
  emmVratioDebit <- readRDS("emmVratioDebit.Rds")
}else{
  emmVratioDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit)
  saveRDS(emmVratioDebit, "emmVratioDebit.Rds")
  emmVratioDebit <- readRDS("emmVratioDebit.Rds")
}
emmVratioDebit
$emmeans
 Debit  emmean     SE   df lower.CL upper.CL
 fast     1.63 0.0673 7.94     1.48     1.79
 normal   1.71 0.0583 7.91     1.58     1.85
 slow     1.92 0.0601 7.92     1.78     2.05

Results are averaged over the levels of: Timbre, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast      estimate     SE   df t.ratio p.value
 fast - normal  -0.0793 0.0400 7.99  -1.980  0.1793
 fast - slow    -0.2840 0.0608 8.00  -4.669  0.0040
 normal - slow  -0.2048 0.0342 7.98  -5.988  0.0008

Results are averaged over the levels of: Timbre, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 3 estimates 

4.1.6.2 Timbre

if (file.exists(file = "emmVratioTimbre.Rds")){
  emmVratioTimbre <- readRDS("emmVratioTimbre.Rds")
}else{
  emmVratioTimbre <- emmeans(lm.mod.Optimal, specs = pairwise ~  Timbre)
  saveRDS(emmVratioTimbre, "emmVratioTimbre.Rds")
  emmVratioTimbre <- readRDS("emmVratioTimbre.Rds")
}
emmVratioTimbre
$emmeans
 Timbre emmean     SE   df lower.CL upper.CL
 a        1.84 0.0566 8.26     1.71     1.97
 i        1.75 0.0566 8.26     1.62     1.88
 u        1.67 0.0566 8.26     1.54     1.80

Results are averaged over the levels of: Debit, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast estimate     SE   df t.ratio p.value
 a - i      0.0884 0.0144 3570   6.127  <.0001
 a - u      0.1704 0.0144 3570  11.812  <.0001
 i - u      0.0820 0.0144 3570   5.685  <.0001

Results are averaged over the levels of: Debit, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 3 estimates 

4.1.6.3 Debit x Timbre

if (file.exists(file = "emmVratioDebitTimbre.Rds")){
  emmVratioDebitTimbre <- readRDS("emmVratioDebitTimbre.Rds")
}else{
  emmVratioDebitTimbre <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit:Timbre)
  saveRDS(emmVratioDebitTimbre, "emmVratioDebitTimbre.Rds")
  emmVratioDebitTimbre <- readRDS("emmVratioDebitTimbre.Rds")
}
emmVratioDebitTimbre
$emmeans
 Debit  Timbre emmean     SE   df lower.CL upper.CL
 fast   a        1.72 0.0678 8.18     1.56     1.87
 normal a        1.80 0.0589 8.24     1.66     1.93
 slow   a        2.00 0.0607 8.23     1.86     2.14
 fast   i        1.63 0.0678 8.18     1.47     1.79
 normal i        1.71 0.0589 8.24     1.57     1.84
 slow   i        1.91 0.0607 8.23     1.77     2.05
 fast   u        1.55 0.0678 8.18     1.39     1.70
 normal u        1.63 0.0589 8.24     1.49     1.76
 slow   u        1.83 0.0607 8.23     1.69     1.97

Results are averaged over the levels of: Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast            estimate     SE      df t.ratio p.value
 fast a - normal a   -0.07926 0.0400    7.99  -1.980  0.5896
 fast a - slow a     -0.28402 0.0608    8.00  -4.669  0.0243
 fast a - fast i      0.08841 0.0144 3570.04   6.127  <.0001
 fast a - normal i    0.00914 0.0426   10.21   0.215  1.0000
 fast a - slow i     -0.19562 0.0625    8.92  -3.129  0.1538
 fast a - fast u      0.17045 0.0144 3570.04  11.812  <.0001
 fast a - normal u    0.09119 0.0426   10.21   2.143  0.4965
 fast a - slow u     -0.11357 0.0625    8.92  -1.817  0.6743
 normal a - slow a   -0.20476 0.0342    7.98  -5.988  0.0055
 normal a - fast i    0.16767 0.0426   10.21   3.940  0.0434
 normal a - normal i  0.08841 0.0144 3570.04   6.127  <.0001
 normal a - slow i   -0.11635 0.0371   11.09  -3.135  0.1334
 normal a - fast u    0.24971 0.0426   10.21   5.868  0.0029
 normal a - normal u  0.17045 0.0144 3570.04  11.812  <.0001
 normal a - slow u   -0.03431 0.0371   11.09  -0.924  0.9862
 slow a - fast i      0.37243 0.0625    8.92   5.957  0.0040
 slow a - normal i    0.29317 0.0371   11.09   7.899  0.0002
 slow a - slow i      0.08841 0.0144 3570.04   6.127  <.0001
 slow a - fast u      0.45447 0.0625    8.92   7.269  0.0009
 slow a - normal u    0.37521 0.0371   11.09  10.109  <.0001
 slow a - slow u      0.17045 0.0144 3570.04  11.812  <.0001
 fast i - normal i   -0.07926 0.0400    7.99  -1.980  0.5896
 fast i - slow i     -0.28402 0.0608    8.00  -4.669  0.0243
 fast i - fast u      0.08204 0.0144 3570.04   5.685  <.0001
 fast i - normal u    0.00278 0.0426   10.21   0.065  1.0000
 fast i - slow u     -0.20198 0.0625    8.92  -3.231  0.1344
 normal i - slow i   -0.20476 0.0342    7.98  -5.988  0.0055
 normal i - fast u    0.16131 0.0426   10.21   3.791  0.0541
 normal i - normal u  0.08204 0.0144 3570.04   5.685  <.0001
 normal i - slow u   -0.12272 0.0371   11.09  -3.306  0.1032
 slow i - fast u      0.36607 0.0625    8.92   5.855  0.0045
 slow i - normal u    0.28680 0.0371   11.09   7.727  0.0002
 slow i - slow u      0.08204 0.0144 3570.04   5.685  <.0001
 fast u - normal u   -0.07926 0.0400    7.99  -1.980  0.5896
 fast u - slow u     -0.28402 0.0608    8.00  -4.669  0.0243
 normal u - slow u   -0.20476 0.0342    7.98  -5.988  0.0055

Results are averaged over the levels of: Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 9 estimates 

5 Word_V_ratio

5.1 Optimal model

5.1.1 Read Rds

lm.mod.Optimal <- readRDS("lm.mod.Optimal.Word_V_ratio.Rds")

5.1.2 Summary

summary(lm.mod.Optimal)
Linear mixed model fit by REML. t-tests use Satterthwaite's method ['lmerModLmerTest']
Formula: Word_V_ratio ~ Debit * V + Sex + (Debit | Speaker) + (1 | Word)
   Data: Arabic
Control: lmerControl(optimizer = "bobyqa", optCtrl = list(maxfun = 2e+05))

REML criterion at convergence: 8191.7

Scaled residuals: 
    Min      1Q  Median      3Q     Max 
-4.1664 -0.5835 -0.0821  0.4682 10.6759 

Random effects:
 Groups   Name        Variance Std.Dev. Corr       
 Word     (Intercept) 0.14499  0.3808              
 Speaker  (Intercept) 0.03006  0.1734              
          Debitmoyen  0.02560  0.1600   -0.80      
          Debitlent   0.03200  0.1789   -0.74  0.91
 Residual             0.13187  0.3631              
Number of obs: 9600, groups:  Word, 40; Speaker, 10

Fixed effects:
                 Estimate Std. Error         df t value Pr(>|t|)    
(Intercept)       3.12664    0.18290   39.96780  17.095  < 2e-16 ***
Debitmoyen       -0.03695    0.05674   13.35871  -0.651 0.525931    
Debitlent        -0.02097    0.06212   12.44124  -0.338 0.741270    
Va               -0.39762    0.24219   32.48501  -1.642 0.110275    
Vu               -0.27845    0.24219   32.48501  -1.150 0.258646    
Vi:              -0.82925    0.24219   32.48501  -3.424 0.001688 ** 
Va:              -1.13265    0.24219   32.48501  -4.677 4.92e-05 ***
Vu:              -0.88122    0.24219   32.48501  -3.639 0.000941 ***
Ve:              -0.98372    0.24219   32.48501  -4.062 0.000288 ***
Vo:              -1.01495    0.24219   32.48501  -4.191 0.000200 ***
Sexm             -0.26772    0.06693    8.00005  -4.000 0.003949 ** 
Debitmoyen:Va     0.05270    0.03631 9517.00000   1.451 0.146742    
Debitlent:Va      0.10335    0.03631 9517.00000   2.846 0.004436 ** 
Debitmoyen:Vu     0.07250    0.03631 9517.00000   1.997 0.045907 *  
Debitlent:Vu      0.11905    0.03631 9517.00000   3.278 0.001048 ** 
Debitmoyen:Vi:    0.01710    0.03631 9517.00000   0.471 0.637723    
Debitlent:Vi:    -0.16090    0.03631 9517.00000  -4.431 9.49e-06 ***
Debitmoyen:Va:   -0.02600    0.03631 9517.00000  -0.716 0.474016    
Debitlent:Va:    -0.14050    0.03631 9517.00000  -3.869 0.000110 ***
Debitmoyen:Vu:   -0.01135    0.03631 9517.00000  -0.313 0.754624    
Debitlent:Vu:    -0.19550    0.03631 9517.00000  -5.384 7.47e-08 ***
Debitmoyen:Ve:   -0.03635    0.03631 9517.00000  -1.001 0.316849    
Debitlent:Ve:    -0.17408    0.03631 9517.00000  -4.794 1.66e-06 ***
Debitmoyen:Vo:   -0.01368    0.03631 9517.00000  -0.377 0.706492    
Debitlent:Vo:    -0.17750    0.03631 9517.00000  -4.888 1.04e-06 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Correlation matrix not shown by default, as p = 25 > 12.
Use print(x, correlation=TRUE)  or
    vcov(x)        if you need it

5.1.3 Anova

print(anova(lm.mod.Optimal))
Type III Analysis of Variance Table with Satterthwaite's method
         Sum Sq Mean Sq NumDF DenDF F value    Pr(>F)    
Debit    1.0226 0.51130     2     9  3.8774  0.061019 .  
V        6.5719 0.93884     7    32  7.1197 3.789e-05 ***
Sex      2.1100 2.11001     1     8 16.0011  0.003949 ** 
Debit:V 27.0736 1.93383    14  9517 14.6651 < 2.2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

5.1.4 Model’s fit

tab_model(lm.mod.Optimal,file="test.html")
htmltools::includeHTML("test.html")
  Word_V_ratio
Predictors Estimates CI p
(Intercept) 3.13 2.77 – 3.49 <0.001
Debit [moyen] -0.04 -0.15 – 0.07 0.515
Debit [lent] -0.02 -0.14 – 0.10 0.736
Va -0.40 -0.87 – 0.08 0.101
Vu -0.28 -0.75 – 0.20 0.250
Vi -0.83 -1.30 – -0.35 0.001
Va -1.13 -1.61 – -0.66 <0.001
Vu -0.88 -1.36 – -0.41 <0.001
Ve -0.98 -1.46 – -0.51 <0.001
Vo -1.01 -1.49 – -0.54 <0.001
Sex [m] -0.27 -0.40 – -0.14 <0.001
Debit [moyen] × Va 0.05 -0.02 – 0.12 0.147
Debit [lent] × Va 0.10 0.03 – 0.17 0.004
Debit [moyen] × Vu 0.07 0.00 – 0.14 0.046
Debit [lent] × Vu 0.12 0.05 – 0.19 0.001
Debit [moyen] × Vi 0.02 -0.05 – 0.09 0.638
Debit [lent] × Vi -0.16 -0.23 – -0.09 <0.001
Debit [moyen] × Va -0.03 -0.10 – 0.05 0.474
Debit [lent] × Va -0.14 -0.21 – -0.07 <0.001
Debit [moyen] × Vu -0.01 -0.08 – 0.06 0.755
Debit [lent] × Vu -0.20 -0.27 – -0.12 <0.001
Debit [moyen] × Ve -0.04 -0.11 – 0.03 0.317
Debit [lent] × Ve -0.17 -0.25 – -0.10 <0.001
Debit [moyen] × Vo -0.01 -0.08 – 0.06 0.706
Debit [lent] × Vo -0.18 -0.25 – -0.11 <0.001
Random Effects
σ2 0.13
τ00 Word 0.14
τ00 Speaker 0.03
τ11 Speaker.Debitmoyen 0.03
τ11 Speaker.Debitlent 0.03
ρ01 Speaker.Debitmoyen -0.80
ρ01 Speaker.Debitlent -0.74
ICC 0.55
N Speaker 10
N Word 40
Observations 9600
Marginal R2 / Conditional R2 0.408 / 0.736

5.1.5 Evaluating Model’s assumptions - normality of residuals

qqnorm(residuals(lm.mod.Optimal))
qqline(residuals(lm.mod.Optimal))

5.1.6 Pairwise Comparison

5.1.6.1 Debit

if (file.exists(file = "emmWord_V_ratioDebit.Rds")){
  emmWord_V_ratioDebit <- readRDS("emmWord_V_ratioDebit.Rds")
}else{
  emmWord_V_ratioDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit)
  saveRDS(emmWord_V_ratioDebit, "emmWord_V_ratioDebit.Rds")
  emmWord_V_ratioDebit <- readRDS("emmWord_V_ratioDebit.Rds")
}
emmWord_V_ratioDebit
$emmeans
 Debit  emmean     SE   df lower.CL upper.CL
 rapide   2.30 0.0817 29.2     2.14     2.47
 moyen    2.27 0.0694 39.2     2.13     2.41
 lent     2.20 0.0727 37.1     2.06     2.35

Results are averaged over the levels of: V, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast       estimate     SE df t.ratio p.value
 rapide - moyen   0.0301 0.0514  9   0.585  0.8312
 rapide - lent    0.0992 0.0573  9   1.732  0.2461
 moyen - lent     0.0692 0.0254  9   2.721  0.0558

Results are averaged over the levels of: V, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 3 estimates 

5.1.6.2 V

if (file.exists(file = "emmWord_V_ratioV.Rds")){
  emmWord_V_ratioV <- readRDS("emmWord_V_ratioV.Rds")
}else{
  emmWord_V_ratioV <- emmeans(lm.mod.Optimal, specs = pairwise ~ V)
  saveRDS(emmWord_V_ratioV, "emmWord_V_ratioV.Rds")
  emmWord_V_ratioV <- readRDS("emmWord_V_ratioV.Rds")
}
emmWord_V_ratioV
$emmeans
 V  emmean    SE   df lower.CL upper.CL
 i    2.97 0.174 34.5     2.62     3.33
 a    2.63 0.174 34.5     2.27     2.98
 u    2.76 0.174 34.5     2.41     3.11
 i:   2.10 0.174 34.5     1.74     2.45
 a:   1.79 0.174 34.5     1.43     2.14
 u:   2.02 0.174 34.5     1.67     2.38
 e:   1.92 0.174 34.5     1.57     2.27
 o:   1.89 0.174 34.5     1.54     2.25

Results are averaged over the levels of: Debit, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast estimate    SE df t.ratio p.value
 i - a      0.3456 0.241 32   1.432  0.8355
 i - u      0.2146 0.241 32   0.889  0.9850
 i - i:     0.8772 0.241 32   3.636  0.0191
 i - a:     1.1882 0.241 32   4.924  0.0006
 i - u:     0.9502 0.241 32   3.938  0.0088
 i - e:     1.0539 0.241 32   4.368  0.0028
 i - o:     1.0787 0.241 32   4.471  0.0021
 a - u     -0.1310 0.241 32  -0.543  0.9993
 a - i:     0.5316 0.241 32   2.203  0.3765
 a - a:     0.8425 0.241 32   3.492  0.0273
 a - u:     0.6046 0.241 32   2.506  0.2293
 a - e:     0.7083 0.241 32   2.935  0.0985
 a - o:     0.7331 0.241 32   3.038  0.0788
 u - i:     0.6626 0.241 32   2.746  0.1455
 u - a:     0.9736 0.241 32   4.035  0.0068
 u - u:     0.7356 0.241 32   3.049  0.0770
 u - e:     0.8393 0.241 32   3.478  0.0283
 u - o:     0.8641 0.241 32   3.581  0.0219
 i: - a:    0.3110 0.241 32   1.289  0.8963
 i: - u:    0.0730 0.241 32   0.303  1.0000
 i: - e:    0.1767 0.241 32   0.732  0.9953
 i: - o:    0.2015 0.241 32   0.835  0.9896
 a: - u:   -0.2380 0.241 32  -0.986  0.9732
 a: - e:   -0.1343 0.241 32  -0.557  0.9992
 a: - o:   -0.1095 0.241 32  -0.454  0.9998
 u: - e:    0.1037 0.241 32   0.430  0.9998
 u: - o:    0.1285 0.241 32   0.533  0.9994
 e: - o:    0.0248 0.241 32   0.103  1.0000

Results are averaged over the levels of: Debit, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 8 estimates 

5.1.6.3 Debit x V

if (file.exists(file = "emmWord_V_ratioDebitV.Rds")){
  emmWord_V_ratioDebitV <- readRDS("emmWord_V_ratioDebitV.Rds")
}else{
  emmWord_V_ratioDebitV <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit:V)
  saveRDS(emmWord_V_ratioDebitV, "emmWord_V_ratioDebitV.Rds")
  emmWord_V_ratioDebitV <- readRDS("emmWord_V_ratioDebitV.Rds")
}
emmWord_V_ratioDebitV
$emmeans
 Debit  V  emmean    SE   df lower.CL upper.CL
 rapide i    2.99 0.180 37.9     2.63     3.36
 moyen  i    2.96 0.175 34.9     2.60     3.31
 lent   i    2.97 0.176 35.7     2.61     3.33
 rapide a    2.60 0.180 37.9     2.23     2.96
 moyen  a    2.61 0.175 34.9     2.26     2.97
 lent   a    2.68 0.176 35.7     2.32     3.03
 rapide u    2.71 0.180 37.9     2.35     3.08
 moyen  u    2.75 0.175 34.9     2.40     3.10
 lent   u    2.81 0.176 35.7     2.46     3.17
 rapide i:   2.16 0.180 37.9     1.80     2.53
 moyen  i:   2.14 0.175 34.9     1.79     2.50
 lent   i:   1.98 0.176 35.7     1.62     2.34
 rapide a:   1.86 0.180 37.9     1.50     2.22
 moyen  a:   1.80 0.175 34.9     1.44     2.15
 lent   a:   1.70 0.176 35.7     1.34     2.06
 rapide u:   2.11 0.180 37.9     1.75     2.48
 moyen  u:   2.06 0.175 34.9     1.71     2.42
 lent   u:   1.90 0.176 35.7     1.54     2.25
 rapide e:   2.01 0.180 37.9     1.65     2.37
 moyen  e:   1.94 0.175 34.9     1.58     2.29
 lent   e:   1.81 0.176 35.7     1.46     2.17
 rapide o:   1.98 0.180 37.9     1.61     2.34
 moyen  o:   1.93 0.175 34.9     1.57     2.28
 lent   o:   1.78 0.176 35.7     1.42     2.14

Results are averaged over the levels of: Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast              estimate     SE   df t.ratio p.value
 rapide i - moyen i     0.03695 0.0567 13.4   0.651  1.0000
 rapide i - lent i      0.02098 0.0621 12.4   0.338  1.0000
 rapide i - rapide a    0.39763 0.2420 32.5   1.642  0.9889
 rapide i - moyen a     0.38188 0.2470 35.1   1.543  0.9949
 rapide i - lent a      0.31525 0.2490 35.7   1.268  0.9997
 rapide i - rapide u    0.27845 0.2420 32.5   1.150  0.9999
 rapide i - moyen u     0.24290 0.2470 35.1   0.982  1.0000
 rapide i - lent u      0.18038 0.2490 35.7   0.725  1.0000
 rapide i - rapide i:   0.82925 0.2420 32.5   3.424  0.1623
 rapide i - moyen i:    0.84910 0.2470 35.1   3.432  0.1554
 rapide i - lent i:     1.01113 0.2490 35.7   4.066  0.0358
 rapide i - rapide a:   1.13265 0.2420 32.5   4.677  0.0082
 rapide i - moyen a:    1.19560 0.2470 35.1   4.832  0.0047
 rapide i - lent a:     1.29412 0.2490 35.7   5.203  0.0016
 rapide i - rapide u:   0.88123 0.2420 32.5   3.639  0.1036
 rapide i - moyen u:    0.92953 0.2470 35.1   3.757  0.0762
 rapide i - lent u:     1.09770 0.2490 35.7   4.414  0.0145
 rapide i - rapide e:   0.98372 0.2420 32.5   4.062  0.0391
 rapide i - moyen e:    1.05703 0.2470 35.1   4.272  0.0214
 rapide i - lent e:     1.17877 0.2490 35.7   4.740  0.0060
 rapide i - rapide o:   1.01495 0.2420 32.5   4.191  0.0285
 rapide i - moyen o:    1.06557 0.2470 35.1   4.307  0.0196
 rapide i - lent o:     1.21342 0.2490 35.7   4.879  0.0040
 moyen i - lent i      -0.01597 0.0350 32.2  -0.457  1.0000
 moyen i - rapide a     0.36068 0.2470 35.1   1.458  0.9975
 moyen i - moyen a      0.34492 0.2420 32.5   1.424  0.9980
 moyen i - lent a       0.27830 0.2430 33.1   1.144  0.9999
 moyen i - rapide u     0.24150 0.2470 35.1   0.976  1.0000
 moyen i - moyen u      0.20595 0.2420 32.5   0.850  1.0000
 moyen i - lent u       0.14342 0.2430 33.1   0.589  1.0000
 moyen i - rapide i:    0.79230 0.2470 35.1   3.202  0.2436
 moyen i - moyen i:     0.81215 0.2420 32.5   3.353  0.1866
 moyen i - lent i:      0.97418 0.2430 33.1   4.003  0.0444
 moyen i - rapide a:    1.09570 0.2470 35.1   4.429  0.0142
 moyen i - moyen a:     1.15865 0.2420 32.5   4.784  0.0062
 moyen i - lent a:      1.25717 0.2430 33.1   5.166  0.0021
 moyen i - rapide u:    0.84427 0.2470 35.1   3.412  0.1618
 moyen i - moyen u:     0.89258 0.2420 32.5   3.685  0.0936
 moyen i - lent u:      1.06075 0.2430 33.1   4.359  0.0183
 moyen i - rapide e:    0.94678 0.2470 35.1   3.827  0.0648
 moyen i - moyen e:     1.02008 0.2420 32.5   4.212  0.0271
 moyen i - lent e:      1.14183 0.2430 33.1   4.692  0.0076
 moyen i - rapide o:    0.97800 0.2470 35.1   3.953  0.0479
 moyen i - moyen o:     1.02862 0.2420 32.5   4.247  0.0248
 moyen i - lent o:      1.17647 0.2430 33.1   4.835  0.0052
 lent i - rapide a      0.37665 0.2490 35.7   1.514  0.9960
 lent i - moyen a       0.36090 0.2430 33.1   1.483  0.9968
 lent i - lent a        0.29428 0.2420 32.5   1.215  0.9998
 lent i - rapide u      0.25748 0.2490 35.7   1.035  1.0000
 lent i - moyen u       0.22193 0.2430 33.1   0.912  1.0000
 lent i - lent u        0.15940 0.2420 32.5   0.658  1.0000
 lent i - rapide i:     0.80827 0.2490 35.7   3.250  0.2220
 lent i - moyen i:      0.82812 0.2430 33.1   3.403  0.1682
 lent i - lent i:       0.99015 0.2420 32.5   4.088  0.0367
 lent i - rapide a:     1.11167 0.2490 35.7   4.470  0.0125
 lent i - moyen a:      1.17463 0.2430 33.1   4.827  0.0053
 lent i - lent a:       1.27315 0.2420 32.5   5.257  0.0017
 lent i - rapide u:     0.86025 0.2490 35.7   3.459  0.1461
 lent i - moyen u:      0.90855 0.2430 33.1   3.734  0.0832
 lent i - lent u:       1.07672 0.2420 32.5   4.446  0.0150
 lent i - rapide e:     0.96275 0.2490 35.7   3.871  0.0576
 lent i - moyen e:      1.03605 0.2430 33.1   4.258  0.0237
 lent i - lent e:       1.15780 0.2420 32.5   4.781  0.0062
 lent i - rapide o:     0.99398 0.2490 35.7   3.997  0.0425
 lent i - moyen o:      1.04460 0.2430 33.1   4.293  0.0217
 lent i - lent o:       1.19245 0.2420 32.5   4.924  0.0042
 rapide a - moyen a    -0.01575 0.0567 13.4  -0.278  1.0000
 rapide a - lent a     -0.08238 0.0621 12.4  -1.326  0.9976
 rapide a - rapide u   -0.11918 0.2420 32.5  -0.492  1.0000
 rapide a - moyen u    -0.15473 0.2470 35.1  -0.625  1.0000
 rapide a - lent u     -0.21725 0.2490 35.7  -0.874  1.0000
 rapide a - rapide i:   0.43162 0.2420 32.5   1.782  0.9733
 rapide a - moyen i:    0.45148 0.2470 35.1   1.825  0.9674
 rapide a - lent i:     0.61350 0.2490 35.7   2.467  0.6909
 rapide a - rapide a:   0.73503 0.2420 32.5   3.035  0.3306
 rapide a - moyen a:    0.79797 0.2470 35.1   3.225  0.2335
 rapide a - lent a:     0.89650 0.2490 35.7   3.605  0.1067
 rapide a - rapide u:   0.48360 0.2420 32.5   1.997  0.9245
 rapide a - moyen u:    0.53190 0.2470 35.1   2.150  0.8682
 rapide a - lent u:     0.70008 0.2490 35.7   2.815  0.4585
 rapide a - rapide e:   0.58610 0.2420 32.5   2.420  0.7197
 rapide a - moyen e:    0.65940 0.2470 35.1   2.665  0.5582
 rapide a - lent e:     0.78115 0.2490 35.7   3.141  0.2716
 rapide a - rapide o:   0.61733 0.2420 32.5   2.549  0.6365
 rapide a - moyen o:    0.66795 0.2470 35.1   2.700  0.5349
 rapide a - lent o:     0.81580 0.2490 35.7   3.280  0.2094
 moyen a - lent a      -0.06663 0.0350 32.2  -1.905  0.9495
 moyen a - rapide u    -0.10343 0.2470 35.1  -0.418  1.0000
 moyen a - moyen u     -0.13897 0.2420 32.5  -0.574  1.0000
 moyen a - lent u      -0.20150 0.2430 33.1  -0.828  1.0000
 moyen a - rapide i:    0.44738 0.2470 35.1   1.808  0.9702
 moyen a - moyen i:     0.46723 0.2420 32.5   1.929  0.9437
 moyen a - lent i:      0.62925 0.2430 33.1   2.586  0.6120
 moyen a - rapide a:    0.75077 0.2470 35.1   3.034  0.3273
 moyen a - moyen a:     0.81373 0.2420 32.5   3.360  0.1842
 moyen a - lent a:      0.91225 0.2430 33.1   3.749  0.0804
 moyen a - rapide u:    0.49935 0.2470 35.1   2.018  0.9191
 moyen a - moyen u:     0.54765 0.2420 32.5   2.261  0.8119
 moyen a - lent u:      0.71583 0.2430 33.1   2.942  0.3826
 moyen a - rapide e:    0.60185 0.2470 35.1   2.433  0.7127
 moyen a - moyen e:     0.67515 0.2420 32.5   2.788  0.4784
 moyen a - lent e:      0.79690 0.2430 33.1   3.275  0.2158
 moyen a - rapide o:    0.63308 0.2470 35.1   2.559  0.6300
 moyen a - moyen o:     0.68370 0.2420 32.5   2.823  0.4559
 moyen a - lent o:      0.83155 0.2430 33.1   3.417  0.1635
 lent a - rapide u     -0.03680 0.2490 35.7  -0.148  1.0000
 lent a - moyen u      -0.07235 0.2430 33.1  -0.297  1.0000
 lent a - lent u       -0.13487 0.2420 32.5  -0.557  1.0000
 lent a - rapide i:     0.51400 0.2490 35.7   2.067  0.9025
 lent a - moyen i:      0.53385 0.2430 33.1   2.194  0.8465
 lent a - lent i:       0.69588 0.2420 32.5   2.873  0.4244
 lent a - rapide a:     0.81740 0.2490 35.7   3.287  0.2069
 lent a - moyen a:      0.88035 0.2430 33.1   3.618  0.1075
 lent a - lent a:       0.97888 0.2420 32.5   4.042  0.0411
 lent a - rapide u:     0.56598 0.2490 35.7   2.276  0.8061
 lent a - moyen u:      0.61428 0.2430 33.1   2.524  0.6529
 lent a - lent u:       0.78245 0.2420 32.5   3.231  0.2353
 lent a - rapide e:     0.66848 0.2490 35.7   2.688  0.5427
 lent a - moyen e:      0.74177 0.2430 33.1   3.048  0.3226
 lent a - lent e:       0.86352 0.2420 32.5   3.566  0.1212
 lent a - rapide o:     0.69970 0.2490 35.7   2.813  0.4594
 lent a - moyen o:      0.75033 0.2430 33.1   3.083  0.3042
 lent a - lent o:       0.89817 0.2420 32.5   3.709  0.0889
 rapide u - moyen u    -0.03555 0.0567 13.4  -0.627  1.0000
 rapide u - lent u     -0.09807 0.0621 12.4  -1.579  0.9845
 rapide u - rapide i:   0.55080 0.2420 32.5   2.274  0.8050
 rapide u - moyen i:    0.57065 0.2470 35.1   2.306  0.7887
 rapide u - lent i:     0.73267 0.2490 35.7   2.946  0.3771
 rapide u - rapide a:   0.85420 0.2420 32.5   3.527  0.1314
 rapide u - moyen a:    0.91715 0.2470 35.1   3.707  0.0855
 rapide u - lent a:     1.01568 0.2490 35.7   4.084  0.0341
 rapide u - rapide u:   0.60277 0.2420 32.5   2.489  0.6759
 rapide u - moyen u:    0.65107 0.2470 35.1   2.632  0.5809
 rapide u - lent u:     0.81925 0.2490 35.7   3.294  0.2039
 rapide u - rapide e:   0.70527 0.2420 32.5   2.912  0.4008
 rapide u - moyen e:    0.77858 0.2470 35.1   3.147  0.2695
 rapide u - lent e:     0.90033 0.2490 35.7   3.620  0.1031
 rapide u - rapide o:   0.73650 0.2420 32.5   3.041  0.3273
 rapide u - moyen o:    0.78712 0.2470 35.1   3.181  0.2532
 rapide u - lent o:     0.93498 0.2490 35.7   3.759  0.0751
 moyen u - lent u      -0.06252 0.0350 32.2  -1.788  0.9723
 moyen u - rapide i:    0.58635 0.2470 35.1   2.370  0.7516
 moyen u - moyen i:     0.60620 0.2420 32.5   2.503  0.6667
 moyen u - lent i:      0.76823 0.2430 33.1   3.157  0.2677
 moyen u - rapide a:    0.88975 0.2470 35.1   3.596  0.1095
 moyen u - moyen a:     0.95270 0.2420 32.5   3.934  0.0531
 moyen u - lent a:      1.05123 0.2430 33.1   4.320  0.0202
 moyen u - rapide u:    0.63833 0.2470 35.1   2.580  0.6157
 moyen u - moyen u:     0.68663 0.2420 32.5   2.835  0.4482
 moyen u - lent u:      0.85480 0.2430 33.1   3.513  0.1344
 moyen u - rapide e:    0.74082 0.2470 35.1   2.994  0.3497
 moyen u - moyen e:     0.81412 0.2420 32.5   3.362  0.1837
 moyen u - lent e:      0.93588 0.2430 33.1   3.846  0.0644
 moyen u - rapide o:    0.77205 0.2470 35.1   3.120  0.2824
 moyen u - moyen o:     0.82268 0.2420 32.5   3.397  0.1713
 moyen u - lent o:      0.97052 0.2430 33.1   3.988  0.0460
 lent u - rapide i:     0.64887 0.2490 35.7   2.609  0.5961
 lent u - moyen i:      0.66873 0.2430 33.1   2.748  0.5039
 lent u - lent i:       0.83075 0.2420 32.5   3.430  0.1603
 lent u - rapide a:     0.95227 0.2490 35.7   3.829  0.0637
 lent u - moyen a:      1.01523 0.2430 33.1   4.172  0.0294
 lent u - lent a:       1.11375 0.2420 32.5   4.599  0.0101
 lent u - rapide u:     0.70085 0.2490 35.7   2.818  0.4565
 lent u - moyen u:      0.74915 0.2430 33.1   3.079  0.3066
 lent u - lent u:       0.91732 0.2420 32.5   3.788  0.0745
 lent u - rapide e:     0.80335 0.2490 35.7   3.230  0.2305
 lent u - moyen e:      0.87665 0.2430 33.1   3.602  0.1111
 lent u - lent e:       0.99840 0.2420 32.5   4.122  0.0338
 lent u - rapide o:     0.83457 0.2490 35.7   3.356  0.1805
 lent u - moyen o:      0.88520 0.2430 33.1   3.638  0.1029
 lent u - lent o:       1.03305 0.2420 32.5   4.266  0.0237
 rapide i: - moyen i:   0.01985 0.0567 13.4   0.350  1.0000
 rapide i: - lent i:    0.18188 0.0621 12.4   2.928  0.4389
 rapide i: - rapide a:  0.30340 0.2420 32.5   1.253  0.9997
 rapide i: - moyen a:   0.36635 0.2470 35.1   1.481  0.9970
 rapide i: - lent a:    0.46487 0.2490 35.7   1.869  0.9592
 rapide i: - rapide u:  0.05198 0.2420 32.5   0.215  1.0000
 rapide i: - moyen u:   0.10028 0.2470 35.1   0.405  1.0000
 rapide i: - lent u:    0.26845 0.2490 35.7   1.079  1.0000
 rapide i: - rapide e:  0.15448 0.2420 32.5   0.638  1.0000
 rapide i: - moyen e:   0.22778 0.2470 35.1   0.921  1.0000
 rapide i: - lent e:    0.34952 0.2490 35.7   1.405  0.9985
 rapide i: - rapide o:  0.18570 0.2420 32.5   0.767  1.0000
 rapide i: - moyen o:   0.23633 0.2470 35.1   0.955  1.0000
 rapide i: - lent o:    0.38417 0.2490 35.7   1.545  0.9949
 moyen i: - lent i:     0.16203 0.0350 32.2   4.634  0.0093
 moyen i: - rapide a:   0.28355 0.2470 35.1   1.146  0.9999
 moyen i: - moyen a:    0.34650 0.2420 32.5   1.431  0.9979
 moyen i: - lent a:     0.44503 0.2430 33.1   1.829  0.9659
 moyen i: - rapide u:   0.03213 0.2470 35.1   0.130  1.0000
 moyen i: - moyen u:    0.08042 0.2420 32.5   0.332  1.0000
 moyen i: - lent u:     0.24860 0.2430 33.1   1.022  1.0000
 moyen i: - rapide e:   0.13462 0.2470 35.1   0.544  1.0000
 moyen i: - moyen e:    0.20792 0.2420 32.5   0.859  1.0000
 moyen i: - lent e:     0.32967 0.2430 33.1   1.355  0.9990
 moyen i: - rapide o:   0.16585 0.2470 35.1   0.670  1.0000
 moyen i: - moyen o:    0.21648 0.2420 32.5   0.894  1.0000
 moyen i: - lent o:     0.36433 0.2430 33.1   1.497  0.9963
 lent i: - rapide a:    0.12152 0.2490 35.7   0.489  1.0000
 lent i: - moyen a:     0.18448 0.2430 33.1   0.758  1.0000
 lent i: - lent a:      0.28300 0.2420 32.5   1.169  0.9999
 lent i: - rapide u:   -0.12990 0.2490 35.7  -0.522  1.0000
 lent i: - moyen u:    -0.08160 0.2430 33.1  -0.335  1.0000
 lent i: - lent u:      0.08657 0.2420 32.5   0.357  1.0000
 lent i: - rapide e:   -0.02740 0.2490 35.7  -0.110  1.0000
 lent i: - moyen e:     0.04590 0.2430 33.1   0.189  1.0000
 lent i: - lent e:      0.16765 0.2420 32.5   0.692  1.0000
 lent i: - rapide o:    0.00382 0.2490 35.7   0.015  1.0000
 lent i: - moyen o:     0.05445 0.2430 33.1   0.224  1.0000
 lent i: - lent o:      0.20230 0.2420 32.5   0.835  1.0000
 rapide a: - moyen a:   0.06295 0.0567 13.4   1.110  0.9998
 rapide a: - lent a:    0.16148 0.0621 12.4   2.599  0.6104
 rapide a: - rapide u: -0.25143 0.2420 32.5  -1.038  1.0000
 rapide a: - moyen u:  -0.20312 0.2470 35.1  -0.821  1.0000
 rapide a: - lent u:   -0.03495 0.2490 35.7  -0.141  1.0000
 rapide a: - rapide e: -0.14893 0.2420 32.5  -0.615  1.0000
 rapide a: - moyen e:  -0.07562 0.2470 35.1  -0.306  1.0000
 rapide a: - lent e:    0.04612 0.2490 35.7   0.185  1.0000
 rapide a: - rapide o: -0.11770 0.2420 32.5  -0.486  1.0000
 rapide a: - moyen o:  -0.06707 0.2470 35.1  -0.271  1.0000
 rapide a: - lent o:    0.08077 0.2490 35.7   0.325  1.0000
 moyen a: - lent a:     0.09853 0.0350 32.2   2.818  0.4594
 moyen a: - rapide u:  -0.31438 0.2470 35.1  -1.271  0.9996
 moyen a: - moyen u:   -0.26608 0.2420 32.5  -1.099  1.0000
 moyen a: - lent u:    -0.09790 0.2430 33.1  -0.402  1.0000
 moyen a: - rapide e:  -0.21188 0.2470 35.1  -0.856  1.0000
 moyen a: - moyen e:   -0.13858 0.2420 32.5  -0.572  1.0000
 moyen a: - lent e:    -0.01682 0.2430 33.1  -0.069  1.0000
 moyen a: - rapide o:  -0.18065 0.2470 35.1  -0.730  1.0000
 moyen a: - moyen o:   -0.13003 0.2420 32.5  -0.537  1.0000
 moyen a: - lent o:     0.01783 0.2430 33.1   0.073  1.0000
 lent a: - rapide u:   -0.41290 0.2490 35.7  -1.660  0.9880
 lent a: - moyen u:    -0.36460 0.2430 33.1  -1.498  0.9963
 lent a: - lent u:     -0.19642 0.2420 32.5  -0.811  1.0000
 lent a: - rapide e:   -0.31040 0.2490 35.7  -1.248  0.9997
 lent a: - moyen e:    -0.23710 0.2430 33.1  -0.974  1.0000
 lent a: - lent e:     -0.11535 0.2420 32.5  -0.476  1.0000
 lent a: - rapide o:   -0.27918 0.2490 35.7  -1.123  0.9999
 lent a: - moyen o:    -0.22855 0.2430 33.1  -0.939  1.0000
 lent a: - lent o:     -0.08070 0.2420 32.5  -0.333  1.0000
 rapide u: - moyen u:   0.04830 0.0567 13.4   0.851  1.0000
 rapide u: - lent u:    0.21648 0.0621 12.4   3.485  0.2196
 rapide u: - rapide e:  0.10250 0.2420 32.5   0.423  1.0000
 rapide u: - moyen e:   0.17580 0.2470 35.1   0.711  1.0000
 rapide u: - lent e:    0.29755 0.2490 35.7   1.196  0.9999
 rapide u: - rapide o:  0.13373 0.2420 32.5   0.552  1.0000
 rapide u: - moyen o:   0.18435 0.2470 35.1   0.745  1.0000
 rapide u: - lent o:    0.33220 0.2490 35.7   1.336  0.9993
 moyen u: - lent u:     0.16817 0.0350 32.2   4.810  0.0058
 moyen u: - rapide e:   0.05420 0.2470 35.1   0.219  1.0000
 moyen u: - moyen e:    0.12750 0.2420 32.5   0.526  1.0000
 moyen u: - lent e:     0.24925 0.2430 33.1   1.024  1.0000
 moyen u: - rapide o:   0.08543 0.2470 35.1   0.345  1.0000
 moyen u: - moyen o:    0.13605 0.2420 32.5   0.562  1.0000
 moyen u: - lent o:     0.28390 0.2430 33.1   1.167  0.9999
 lent u: - rapide e:   -0.11398 0.2490 35.7  -0.458  1.0000
 lent u: - moyen e:    -0.04068 0.2430 33.1  -0.167  1.0000
 lent u: - lent e:      0.08107 0.2420 32.5   0.335  1.0000
 lent u: - rapide o:   -0.08275 0.2490 35.7  -0.333  1.0000
 lent u: - moyen o:    -0.03213 0.2430 33.1  -0.132  1.0000
 lent u: - lent o:      0.11572 0.2420 32.5   0.478  1.0000
 rapide e: - moyen e:   0.07330 0.0567 13.4   1.292  0.9984
 rapide e: - lent e:    0.19505 0.0621 12.4   3.140  0.3427
 rapide e: - rapide o:  0.03122 0.2420 32.5   0.129  1.0000
 rapide e: - moyen o:   0.08185 0.2470 35.1   0.331  1.0000
 rapide e: - lent o:    0.22970 0.2490 35.7   0.924  1.0000
 moyen e: - lent e:     0.12175 0.0350 32.2   3.482  0.1447
 moyen e: - rapide o:  -0.04208 0.2470 35.1  -0.170  1.0000
 moyen e: - moyen o:    0.00855 0.2420 32.5   0.035  1.0000
 moyen e: - lent o:     0.15640 0.2430 33.1   0.643  1.0000
 lent e: - rapide o:   -0.16382 0.2490 35.7  -0.659  1.0000
 lent e: - moyen o:    -0.11320 0.2430 33.1  -0.465  1.0000
 lent e: - lent o:      0.03465 0.2420 32.5   0.143  1.0000
 rapide o: - moyen o:   0.05063 0.0567 13.4   0.892  1.0000
 rapide o: - lent o:    0.19848 0.0621 12.4   3.195  0.3202
 moyen o: - lent o:     0.14785 0.0350 32.2   4.228  0.0262

Results are averaged over the levels of: Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 24 estimates 

6 F1midnor

6.1 Optimal model

6.1.1 Read Rds

lm.mod.Optimal <- readRDS("lm.mod.Optimal.F1midnor.Rds")

6.1.2 Summary

summary(lm.mod.Optimal)
Linear mixed model fit by REML. t-tests use Satterthwaite's method ['lmerModLmerTest']
Formula: F1midnor ~ Debit * V + Sex + (V | Speaker) + (1 | Word)
   Data: Arabic
Control: lmerControl(optimizer = "bobyqa", optCtrl = list(maxfun = 2e+05))

REML criterion at convergence: 5294

Scaled residuals: 
    Min      1Q  Median      3Q     Max 
-7.3733 -0.5620 -0.0048  0.5824  6.2845 

Random effects:
 Groups   Name        Variance Std.Dev. Corr                                     
 Word     (Intercept) 0.03195  0.1787                                            
 Speaker  (Intercept) 0.08163  0.2857                                            
          Va          0.06911  0.2629    0.57                                    
          Vu          0.02155  0.1468    0.22  0.78                              
          Vi:         0.08974  0.2996   -0.79 -0.26 -0.04                        
          Va:         0.18254  0.4273    0.13  0.47  0.59 -0.25                  
          Vu:         0.07019  0.2649   -0.81 -0.25  0.07  0.92 -0.33            
          Ve:         0.03961  0.1990    0.44  0.80  0.52 -0.31  0.60 -0.38      
          Vo:         0.06403  0.2530    0.57  0.86  0.74 -0.32  0.63 -0.40  0.87
 Residual             0.09648  0.3106                                            
Number of obs: 9600, groups:  Word, 40; Speaker, 10

Fixed effects:
                 Estimate Std. Error         df t value Pr(>|t|)    
(Intercept)      -0.02490    0.12385   25.82260  -0.201 0.842213    
Debitmoyen       -0.13028    0.02196 9471.99955  -5.932 3.11e-09 ***
Debitlent        -0.12066    0.02196 9471.99957  -5.494 4.04e-08 ***
Va                0.99442    0.14203   37.71606   7.002 2.55e-08 ***
Vu                0.07392    0.12416   40.77746   0.595 0.554901    
Vi:              -0.64306    0.14911   34.08714  -4.313 0.000131 ***
Va:               1.94516    0.17753   23.14478  10.957 1.23e-10 ***
Vu:              -0.30484    0.14241   37.52629  -2.141 0.038863 *  
Ve:               0.40506    0.13123   41.65820   3.087 0.003593 ** 
Vo:               0.51939    0.14023   38.59357   3.704 0.000663 ***
Sexm             -0.54868    0.04669    7.99989 -11.750 2.52e-06 ***
Debitmoyen:Va     0.15585    0.03106 9471.99960   5.017 5.33e-07 ***
Debitlent:Va      0.20350    0.03106 9471.99961   6.552 5.99e-11 ***
Debitmoyen:Vu     0.04910    0.03106 9471.99960   1.581 0.113968    
Debitlent:Vu      0.08173    0.03106 9471.99961   2.631 0.008519 ** 
Debitmoyen:Vi:   -0.08405    0.03106 9471.99960  -2.706 0.006822 ** 
Debitlent:Vi:    -0.13139    0.03106 9471.99961  -4.230 2.36e-05 ***
Debitmoyen:Va:    0.15176    0.03106 9471.99959   4.886 1.05e-06 ***
Debitlent:Va:     0.23790    0.03106 9471.99961   7.659 2.06e-14 ***
Debitmoyen:Vu:   -0.11340    0.03106 9471.99962  -3.651 0.000263 ***
Debitlent:Vu:    -0.16999    0.03106 9471.99963  -5.473 4.54e-08 ***
Debitmoyen:Ve:   -0.01331    0.03106 9471.99957  -0.429 0.668295    
Debitlent:Ve:    -0.12420    0.03106 9471.99958  -3.998 6.43e-05 ***
Debitmoyen:Vo:    0.03927    0.03106 9471.99960   1.264 0.206169    
Debitlent:Vo:    -0.06355    0.03106 9471.99960  -2.046 0.040782 *  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Correlation matrix not shown by default, as p = 25 > 12.
Use print(x, correlation=TRUE)  or
    vcov(x)        if you need it

6.1.3 Anova

print(anova(lm.mod.Optimal))
Type III Analysis of Variance Table with Satterthwaite's method
        Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
Debit   26.789 13.3943     2 9472.0 138.830 < 2.2e-16 ***
V       23.251  3.3216     7   29.4  34.428 1.692e-12 ***
Sex     13.321 13.3209     1    8.0 138.069 2.516e-06 ***
Debit:V 36.462  2.6044    14 9472.0  26.994 < 2.2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

6.1.4 Model’s fit

tab_model(lm.mod.Optimal,file="test.html")
htmltools::includeHTML("test.html")
  F1midnor
Predictors Estimates CI p
(Intercept) -0.02 -0.27 – 0.22 0.841
Debit [moyen] -0.13 -0.17 – -0.09 <0.001
Debit [lent] -0.12 -0.16 – -0.08 <0.001
Va 0.99 0.72 – 1.27 <0.001
Vu 0.07 -0.17 – 0.32 0.552
Vi -0.64 -0.94 – -0.35 <0.001
Va 1.95 1.60 – 2.29 <0.001
Vu -0.30 -0.58 – -0.03 0.032
Ve 0.41 0.15 – 0.66 0.002
Vo 0.52 0.24 – 0.79 <0.001
Sex [m] -0.55 -0.64 – -0.46 <0.001
Debit [moyen] × Va 0.16 0.09 – 0.22 <0.001
Debit [lent] × Va 0.20 0.14 – 0.26 <0.001
Debit [moyen] × Vu 0.05 -0.01 – 0.11 0.114
Debit [lent] × Vu 0.08 0.02 – 0.14 0.009
Debit [moyen] × Vi -0.08 -0.14 – -0.02 0.007
Debit [lent] × Vi -0.13 -0.19 – -0.07 <0.001
Debit [moyen] × Va 0.15 0.09 – 0.21 <0.001
Debit [lent] × Va 0.24 0.18 – 0.30 <0.001
Debit [moyen] × Vu -0.11 -0.17 – -0.05 <0.001
Debit [lent] × Vu -0.17 -0.23 – -0.11 <0.001
Debit [moyen] × Ve -0.01 -0.07 – 0.05 0.668
Debit [lent] × Ve -0.12 -0.19 – -0.06 <0.001
Debit [moyen] × Vo 0.04 -0.02 – 0.10 0.206
Debit [lent] × Vo -0.06 -0.12 – -0.00 0.041
Random Effects
σ2 0.10
τ00 Word 0.03
τ00 Speaker 0.08
τ11 Speaker.Va 0.07
τ11 Speaker.Vu 0.02
τ11 Speaker.Vi: 0.09
τ11 Speaker.Va: 0.18
τ11 Speaker.Vu: 0.07
τ11 Speaker.Ve: 0.04
τ11 Speaker.Vo: 0.06
ρ01 Speaker.Va 0.57
ρ01 Speaker.Vu 0.22
ρ01 Speaker.Vi: -0.79
ρ01 Speaker.Va: 0.13
ρ01 Speaker.Vu: -0.81
ρ01 Speaker.Ve: 0.44
ρ01 Speaker.Vo: 0.57
ICC 0.65
N Speaker 10
N Word 40
Observations 9600
Marginal R2 / Conditional R2 0.733 / 0.907

6.1.5 Evaluating Model’s assumptions - normality of residuals

qqnorm(residuals(lm.mod.Optimal))
qqline(residuals(lm.mod.Optimal))

6.1.6 Pairwise Comparison

6.1.6.1 Debit

if (file.exists(file = "emmF1midnorDebit.Rds")){
  emmF1midnorDebit <- readRDS("emmF1midnorDebit.Rds")
}else{
  emmF1midnorDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit)
  saveRDS(emmF1midnorDebit, "emmF1midnorDebit.Rds")
  emmF1midnorDebit <- readRDS("emmF1midnorDebit.Rds")
}
emmF1midnorDebit
$emmeans
 Debit   emmean    SE   df lower.CL upper.CL
 rapide  0.0745 0.104 10.4   -0.157    0.306
 moyen  -0.0326 0.104 10.4   -0.264    0.199
 lent   -0.0419 0.104 10.4   -0.273    0.190

Results are averaged over the levels of: V, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast       estimate      SE   df t.ratio p.value
 rapide - moyen  0.10713 0.00777 9472  13.796  <.0001
 rapide - lent   0.11641 0.00777 9472  14.991  <.0001
 moyen - lent    0.00928 0.00777 9472   1.196  0.4558

Results are averaged over the levels of: V, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 3 estimates 

6.1.6.2 V

if (file.exists(file = "emmF1midnorV.Rds")){
  emmF1midnorV <- readRDS("emmF1midnorV.Rds")
}else{
  emmF1midnorV <- emmeans(lm.mod.Optimal, specs = pairwise ~ V)
  saveRDS(emmF1midnorV, "emmF1midnorV.Rds")
  emmF1midnorV <- readRDS("emmF1midnorV.Rds")
}
emmF1midnorV
$emmeans
 V   emmean     SE   df lower.CL upper.CL
 i  -0.3829 0.1210 23.9   -0.633   -0.133
 a   0.7313 0.1730 14.1    0.360    1.103
 u  -0.2654 0.1360 19.1   -0.551    0.020
 i: -1.0978 0.1000 35.6   -1.301   -0.895
 a:  1.6922 0.1900 13.1    1.282    2.103
 u: -0.7822 0.0973 37.3   -0.979   -0.585
 e: -0.0237 0.1540 16.1   -0.349    0.302
 o:  0.1284 0.1710 14.3   -0.238    0.495

Results are averaged over the levels of: Debit, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast estimate    SE   df t.ratio p.value
 i - a      -1.114 0.141 36.5  -7.908  <.0001
 i - u      -0.118 0.123 39.1  -0.957  0.9779
 i - i:      0.715 0.148 33.1   4.829  0.0007
 i - a:     -2.075 0.177 22.7 -11.749  <.0001
 i - u:      0.399 0.141 36.4   2.827  0.1196
 i - e:     -0.359 0.130 40.1  -2.763  0.1336
 i - o:     -0.511 0.139 37.3  -3.676  0.0153
 a - u       0.997 0.126 40.1   7.886  <.0001
 a - i:      1.829 0.181 21.5  10.081  <.0001
 a - a:     -0.961 0.166 25.9  -5.799  0.0001
 a - u:      1.514 0.174 23.3   8.693  <.0001
 a - e:      0.755 0.124 39.5   6.084  <.0001
 a - o:      0.603 0.122 38.6   4.953  0.0004
 u - i:      0.832 0.156 29.4   5.324  0.0002
 u - a:     -1.958 0.161 27.4 -12.147  <.0001
 u - u:      0.517 0.147 33.6   3.518  0.0247
 u - e:     -0.242 0.127 40.1  -1.909  0.5528
 u - o:     -0.394 0.127 40.1  -3.110  0.0615
 i: - a:    -2.790 0.216 16.4 -12.922  <.0001
 i: - u:    -0.316 0.120 37.4  -2.634  0.1759
 i: - e:    -1.074 0.172 23.9  -6.247  <.0001
 i: - o:    -1.226 0.182 21.4  -6.738  <.0001
 a: - u:     2.474 0.214 16.6  11.567  <.0001
 a: - e:     1.716 0.158 28.7  10.862  <.0001
 a: - o:     1.564 0.155 30.1  10.111  <.0001
 u: - e:    -0.759 0.167 25.4  -4.536  0.0026
 u: - o:    -0.911 0.178 22.3  -5.112  0.0009
 e: - o:    -0.152 0.121 38.0  -1.259  0.9079

Results are averaged over the levels of: Debit, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 8 estimates 

6.1.6.3 Debit x V

if (file.exists(file = "emmF1midnorDebitV.Rds")){
  emmF1midnorDebitV <- readRDS("emmF1midnorDebitV.Rds")
}else{
  emmF1midnorDebitV <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit:V)
  saveRDS(emmF1midnorDebitV, "emmF1midnorDebitV.Rds")
  emmF1midnorDebitV <- readRDS("emmF1midnorDebitV.Rds")
}
emmF1midnorDebitV
$emmeans
 Debit  V   emmean     SE   df lower.CL upper.CL
 rapide i  -0.2992 0.1220 24.4   -0.550  -0.0484
 moyen  i  -0.4295 0.1220 24.4   -0.680  -0.1787
 lent   i  -0.4199 0.1220 24.4   -0.671  -0.1691
 rapide a   0.6952 0.1740 14.3    0.323   1.0675
 moyen  a   0.7207 0.1740 14.3    0.348   1.0931
 lent   a   0.7780 0.1740 14.3    0.406   1.1503
 rapide u  -0.2253 0.1370 19.5   -0.512   0.0609
 moyen  u  -0.3065 0.1370 19.5   -0.593  -0.0202
 lent   u  -0.2643 0.1370 19.5   -0.551   0.0220
 rapide i: -0.9423 0.1010 36.8   -1.147  -0.7380
 moyen  i: -1.1566 0.1010 36.8   -1.361  -0.9523
 lent   i: -1.1944 0.1010 36.8   -1.399  -0.9900
 rapide a:  1.6459 0.1900 13.2    1.235   2.0568
 moyen  a:  1.6674 0.1900 13.2    1.257   2.0783
 lent   a:  1.7632 0.1900 13.2    1.352   2.1741
 rapide u: -0.6041 0.0981 38.6   -0.803  -0.4056
 moyen  u: -0.8478 0.0981 38.6   -1.046  -0.6493
 lent   u: -0.8947 0.0981 38.6   -1.093  -0.6963
 rapide e:  0.1058 0.1540 16.4   -0.221   0.4321
 moyen  e: -0.0378 0.1540 16.4   -0.364   0.2886
 lent   e: -0.1390 0.1540 16.4   -0.465   0.1873
 rapide o:  0.2201 0.1720 14.5   -0.147   0.5870
 moyen  o:  0.1291 0.1720 14.5   -0.238   0.4960
 lent   o:  0.0359 0.1720 14.5   -0.331   0.4028

Results are averaged over the levels of: Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast              estimate    SE     df t.ratio p.value
 rapide i - moyen i     0.13028 0.022 9472.0   5.932  <.0001
 rapide i - lent i      0.12066 0.022 9472.0   5.494  <.0001
 rapide i - rapide a   -0.99442 0.142   37.7  -7.002  <.0001
 rapide i - moyen a    -1.01999 0.142   37.7  -7.182  <.0001
 rapide i - lent a     -1.07726 0.142   37.7  -7.585  <.0001
 rapide i - rapide u   -0.07392 0.124   40.8  -0.595  1.0000
 rapide i - moyen u     0.00726 0.124   40.8   0.058  1.0000
 rapide i - lent u     -0.03499 0.124   40.8  -0.282  1.0000
 rapide i - rapide i:   0.64306 0.149   34.1   4.313  0.0199
 rapide i - moyen i:    0.85740 0.149   34.1   5.750  0.0004
 rapide i - lent i:     0.89511 0.149   34.1   6.003  0.0002
 rapide i - rapide a:  -1.94516 0.178   23.1 -10.957  <.0001
 rapide i - moyen a:   -1.96664 0.178   23.1 -11.078  <.0001
 rapide i - lent a:    -2.06240 0.178   23.1 -11.618  <.0001
 rapide i - rapide u:   0.30484 0.142   37.5   2.141  0.8736
 rapide i - moyen u:    0.54852 0.142   37.5   3.852  0.0585
 rapide i - lent u:     0.59550 0.142   37.5   4.182  0.0254
 rapide i - rapide e:  -0.40506 0.131   41.7  -3.087  0.2920
 rapide i - moyen e:   -0.26147 0.131   41.7  -1.992  0.9305
 rapide i - lent e:    -0.16020 0.131   41.7  -1.221  0.9998
 rapide i - rapide o:  -0.51939 0.140   38.6  -3.704  0.0819
 rapide i - moyen o:   -0.42838 0.140   38.6  -3.055  0.3121
 rapide i - lent o:    -0.33517 0.140   38.6  -2.390  0.7404
 moyen i - lent i      -0.00962 0.022 9472.0  -0.438  1.0000
 moyen i - rapide a    -1.12470 0.142   37.7  -7.919  <.0001
 moyen i - moyen a     -1.15027 0.142   37.7  -8.099  <.0001
 moyen i - lent a      -1.20754 0.142   37.7  -8.502  <.0001
 moyen i - rapide u    -0.20420 0.124   40.8  -1.645  0.9900
 moyen i - moyen u     -0.12302 0.124   40.8  -0.991  1.0000
 moyen i - lent u      -0.16527 0.124   40.8  -1.331  0.9994
 moyen i - rapide i:    0.51279 0.149   34.1   3.439  0.1548
 moyen i - moyen i:     0.72712 0.149   34.1   4.876  0.0044
 moyen i - lent i:      0.76483 0.149   34.1   5.129  0.0022
 moyen i - rapide a:   -2.07544 0.178   23.1 -11.691  <.0001
 moyen i - moyen a:    -2.09692 0.178   23.1 -11.812  <.0001
 moyen i - lent a:     -2.19268 0.178   23.1 -12.351  <.0001
 moyen i - rapide u:    0.17456 0.142   37.5   1.226  0.9998
 moyen i - moyen u:     0.41824 0.142   37.5   2.937  0.3806
 moyen i - lent u:      0.46522 0.142   37.5   3.267  0.2123
 moyen i - rapide e:   -0.53534 0.131   41.7  -4.079  0.0304
 moyen i - moyen e:    -0.39175 0.131   41.7  -2.985  0.3482
 moyen i - lent e:     -0.29048 0.131   41.7  -2.213  0.8416
 moyen i - rapide o:   -0.64967 0.140   38.6  -4.633  0.0072
 moyen i - moyen o:    -0.55866 0.140   38.6  -3.984  0.0413
 moyen i - lent o:     -0.46545 0.140   38.6  -3.319  0.1901
 lent i - rapide a     -1.11508 0.142   37.7  -7.851  <.0001
 lent i - moyen a      -1.14065 0.142   37.7  -8.031  <.0001
 lent i - lent a       -1.19792 0.142   37.7  -8.434  <.0001
 lent i - rapide u     -0.19458 0.124   40.8  -1.567  0.9944
 lent i - moyen u      -0.11340 0.124   40.8  -0.913  1.0000
 lent i - lent u       -0.15565 0.124   40.8  -1.254  0.9997
 lent i - rapide i:     0.52240 0.149   34.1   3.503  0.1354
 lent i - moyen i:      0.73673 0.149   34.1   4.941  0.0037
 lent i - lent i:       0.77445 0.149   34.1   5.194  0.0018
 lent i - rapide a:    -2.06583 0.178   23.1 -11.637  <.0001
 lent i - moyen a:     -2.08731 0.178   23.1 -11.758  <.0001
 lent i - lent a:      -2.18306 0.178   23.1 -12.297  <.0001
 lent i - rapide u:     0.18418 0.142   37.5   1.293  0.9996
 lent i - moyen u:      0.42786 0.142   37.5   3.005  0.3412
 lent i - lent u:       0.47484 0.142   37.5   3.334  0.1858
 lent i - rapide e:    -0.52572 0.131   41.7  -4.006  0.0369
 lent i - moyen e:     -0.38213 0.131   41.7  -2.912  0.3924
 lent i - lent e:      -0.28086 0.131   41.7  -2.140  0.8759
 lent i - rapide o:    -0.64005 0.140   38.6  -4.564  0.0087
 lent i - moyen o:     -0.54904 0.140   38.6  -3.915  0.0491
 lent i - lent o:      -0.45584 0.140   38.6  -3.251  0.2177
 rapide a - moyen a    -0.02557 0.022 9472.0  -1.164  1.0000
 rapide a - lent a     -0.08284 0.022 9472.0  -3.772  0.0317
 rapide a - rapide u    0.92050 0.128   41.7   7.211  <.0001
 rapide a - moyen u     1.00168 0.128   41.7   7.847  <.0001
 rapide a - lent u      0.95943 0.128   41.7   7.516  <.0001
 rapide a - rapide i:   1.63748 0.182   22.0   8.981  <.0001
 rapide a - moyen i:    1.85182 0.182   22.0  10.156  <.0001
 rapide a - lent i:     1.88953 0.182   22.0  10.363  <.0001
 rapide a - rapide a:  -0.95074 0.167   26.5  -5.705  0.0009
 rapide a - moyen a:   -0.97222 0.167   26.5  -5.834  0.0007
 rapide a - lent a:    -1.06798 0.167   26.5  -6.409  0.0002
 rapide a - rapide u:   1.29926 0.175   23.8   7.423  <.0001
 rapide a - moyen u:    1.54294 0.175   23.8   8.815  <.0001
 rapide a - lent u:     1.58992 0.175   23.8   9.083  <.0001
 rapide a - rapide e:   0.58936 0.125   41.2   4.701  0.0054
 rapide a - moyen e:    0.73295 0.125   41.2   5.846  0.0002
 rapide a - lent e:     0.83422 0.125   41.2   6.653  <.0001
 rapide a - rapide o:   0.47503 0.123   40.2   3.861  0.0547
 rapide a - moyen o:    0.56604 0.123   40.2   4.600  0.0074
 rapide a - lent o:     0.65925 0.123   40.2   5.358  0.0008
 moyen a - lent a      -0.05727 0.022 9472.0  -2.608  0.5910
 moyen a - rapide u     0.94607 0.128   41.7   7.411  <.0001
 moyen a - moyen u      1.02725 0.128   41.7   8.047  <.0001
 moyen a - lent u       0.98500 0.128   41.7   7.716  <.0001
 moyen a - rapide i:    1.66305 0.182   22.0   9.121  <.0001
 moyen a - moyen i:     1.87738 0.182   22.0  10.297  <.0001
 moyen a - lent i:      1.91510 0.182   22.0  10.504  <.0001
 moyen a - rapide a:   -0.92518 0.167   26.5  -5.552  0.0013
 moyen a - moyen a:    -0.94666 0.167   26.5  -5.681  0.0010
 moyen a - lent a:     -1.04241 0.167   26.5  -6.255  0.0002
 moyen a - rapide u:    1.32483 0.175   23.8   7.569  <.0001
 moyen a - moyen u:     1.56851 0.175   23.8   8.961  <.0001
 moyen a - lent u:      1.61549 0.175   23.8   9.229  <.0001
 moyen a - rapide e:    0.61493 0.125   41.2   4.904  0.0029
 moyen a - moyen e:     0.75852 0.125   41.2   6.050  0.0001
 moyen a - lent e:      0.85979 0.125   41.2   6.857  <.0001
 moyen a - rapide o:    0.50060 0.123   40.2   4.069  0.0321
 moyen a - moyen o:     0.59161 0.123   40.2   4.808  0.0041
 moyen a - lent o:      0.68481 0.123   40.2   5.566  0.0004
 lent a - rapide u      1.00334 0.128   41.7   7.860  <.0001
 lent a - moyen u       1.08452 0.128   41.7   8.496  <.0001
 lent a - lent u        1.04227 0.128   41.7   8.165  <.0001
 lent a - rapide i:     1.72032 0.182   22.0   9.435  <.0001
 lent a - moyen i:      1.93465 0.182   22.0  10.611  <.0001
 lent a - lent i:       1.97237 0.182   22.0  10.818  <.0001
 lent a - rapide a:    -0.86790 0.167   26.5  -5.208  0.0031
 lent a - moyen a:     -0.88939 0.167   26.5  -5.337  0.0023
 lent a - lent a:      -0.98514 0.167   26.5  -5.912  0.0005
 lent a - rapide u:     1.38210 0.175   23.8   7.896  <.0001
 lent a - moyen u:      1.62578 0.175   23.8   9.288  <.0001
 lent a - lent u:       1.67276 0.175   23.8   9.557  <.0001
 lent a - rapide e:     0.67220 0.125   41.2   5.361  0.0007
 lent a - moyen e:      0.81579 0.125   41.2   6.506  <.0001
 lent a - lent e:       0.91706 0.125   41.2   7.314  <.0001
 lent a - rapide o:     0.55787 0.123   40.2   4.534  0.0090
 lent a - moyen o:      0.64888 0.123   40.2   5.274  0.0010
 lent a - lent o:       0.74209 0.123   40.2   6.031  0.0001
 rapide u - moyen u     0.08118 0.022 9472.0   3.696  0.0412
 rapide u - lent u      0.03893 0.022 9472.0   1.772  0.9865
 rapide u - rapide i:   0.71698 0.157   30.1   4.556  0.0125
 rapide u - moyen i:    0.93131 0.157   30.1   5.918  0.0003
 rapide u - lent i:     0.96903 0.157   30.1   6.157  0.0002
 rapide u - rapide a:  -1.87125 0.162   28.1 -11.540  <.0001
 rapide u - moyen a:   -1.89273 0.162   28.1 -11.673  <.0001
 rapide u - lent a:    -1.98848 0.162   28.1 -12.263  <.0001
 rapide u - rapide u:   0.37876 0.148   34.7   2.559  0.6295
 rapide u - moyen u:    0.62244 0.148   34.7   4.206  0.0258
 rapide u - lent u:     0.66942 0.148   34.7   4.524  0.0112
 rapide u - rapide e:  -0.33114 0.128   41.7  -2.590  0.6083
 rapide u - moyen e:   -0.18755 0.128   41.7  -1.467  0.9976
 rapide u - lent e:    -0.08628 0.128   41.7  -0.675  1.0000
 rapide u - rapide o:  -0.44547 0.128   41.7  -3.484  0.1310
 rapide u - moyen o:   -0.35446 0.128   41.7  -2.772  0.4833
 rapide u - lent o:    -0.26125 0.128   41.7  -2.043  0.9140
 moyen u - lent u      -0.04225 0.022 9472.0  -1.924  0.9649
 moyen u - rapide i:    0.63580 0.157   30.1   4.040  0.0440
 moyen u - moyen i:     0.85013 0.157   30.1   5.402  0.0014
 moyen u - lent i:      0.88785 0.157   30.1   5.642  0.0007
 moyen u - rapide a:   -1.95242 0.162   28.1 -12.041  <.0001
 moyen u - moyen a:    -1.97391 0.162   28.1 -12.174  <.0001
 moyen u - lent a:     -2.06966 0.162   28.1 -12.764  <.0001
 moyen u - rapide u:    0.29758 0.148   34.7   2.011  0.9213
 moyen u - moyen u:     0.54126 0.148   34.7   3.658  0.0962
 moyen u - lent u:      0.58824 0.148   34.7   3.975  0.0458
 moyen u - rapide e:   -0.41232 0.128   41.7  -3.225  0.2250
 moyen u - moyen e:    -0.26873 0.128   41.7  -2.102  0.8919
 moyen u - lent e:     -0.16746 0.128   41.7  -1.310  0.9995
 moyen u - rapide o:   -0.52665 0.128   41.7  -4.118  0.0273
 moyen u - moyen o:    -0.43564 0.128   41.7  -3.407  0.1549
 moyen u - lent o:     -0.34243 0.128   41.7  -2.678  0.5476
 lent u - rapide i:     0.67805 0.157   30.1   4.309  0.0232
 lent u - moyen i:      0.89238 0.157   30.1   5.670  0.0007
 lent u - lent i:       0.93010 0.157   30.1   5.910  0.0004
 lent u - rapide a:    -1.91018 0.162   28.1 -11.780  <.0001
 lent u - moyen a:     -1.93166 0.162   28.1 -11.913  <.0001
 lent u - lent a:      -2.02741 0.162   28.1 -12.503  <.0001
 lent u - rapide u:     0.33983 0.148   34.7   2.296  0.7941
 lent u - moyen u:      0.58351 0.148   34.7   3.943  0.0495
 lent u - lent u:       0.63049 0.148   34.7   4.261  0.0224
 lent u - rapide e:    -0.37007 0.128   41.7  -2.895  0.4031
 lent u - moyen e:     -0.22648 0.128   41.7  -1.772  0.9775
 lent u - lent e:      -0.12521 0.128   41.7  -0.979  1.0000
 lent u - rapide o:    -0.48440 0.128   41.7  -3.788  0.0641
 lent u - moyen o:     -0.39339 0.128   41.7  -3.076  0.2973
 lent u - lent o:      -0.30018 0.128   41.7  -2.347  0.7676
 rapide i: - moyen i:   0.21433 0.022 9472.0   9.758  <.0001
 rapide i: - lent i:    0.25205 0.022 9472.0  11.476  <.0001
 rapide i: - rapide a: -2.58823 0.217   16.6 -11.946  <.0001
 rapide i: - moyen a:  -2.60971 0.217   16.6 -12.046  <.0001
 rapide i: - lent a:   -2.70547 0.217   16.6 -12.488  <.0001
 rapide i: - rapide u: -0.33822 0.121   39.1  -2.792  0.4711
 rapide i: - moyen u:  -0.09454 0.121   39.1  -0.780  1.0000
 rapide i: - lent u:   -0.04757 0.121   39.1  -0.393  1.0000
 rapide i: - rapide e: -1.04812 0.173   24.4  -6.063  0.0005
 rapide i: - moyen e:  -0.90453 0.173   24.4  -5.233  0.0035
 rapide i: - lent e:   -0.80326 0.173   24.4  -4.647  0.0138
 rapide i: - rapide o: -1.16245 0.183   21.8  -6.358  0.0004
 rapide i: - moyen o:  -1.07144 0.183   21.8  -5.860  0.0011
 rapide i: - lent o:   -0.97824 0.183   21.8  -5.350  0.0035
 moyen i: - lent i:     0.03772 0.022 9472.0   1.717  0.9910
 moyen i: - rapide a:  -2.80256 0.217   16.6 -12.936  <.0001
 moyen i: - moyen a:   -2.82404 0.217   16.6 -13.035  <.0001
 moyen i: - lent a:    -2.91980 0.217   16.6 -13.477  <.0001
 moyen i: - rapide u:  -0.55255 0.121   39.1  -4.562  0.0086
 moyen i: - moyen u:   -0.30887 0.121   39.1  -2.550  0.6360
 moyen i: - lent u:    -0.26190 0.121   39.1  -2.162  0.8649
 moyen i: - rapide e:  -1.26245 0.173   24.4  -7.303  <.0001
 moyen i: - moyen e:   -1.11886 0.173   24.4  -6.473  0.0002
 moyen i: - lent e:    -1.01760 0.173   24.4  -5.887  0.0007
 moyen i: - rapide o:  -1.37678 0.183   21.8  -7.530  <.0001
 moyen i: - moyen o:   -1.28577 0.183   21.8  -7.032  0.0001
 moyen i: - lent o:    -1.19257 0.183   21.8  -6.522  0.0003
 lent i: - rapide a:   -2.84028 0.217   16.6 -13.110  <.0001
 lent i: - moyen a:    -2.86176 0.217   16.6 -13.209  <.0001
 lent i: - lent a:     -2.95751 0.217   16.6 -13.651  <.0001
 lent i: - rapide u:   -0.59027 0.121   39.1  -4.873  0.0035
 lent i: - moyen u:    -0.34659 0.121   39.1  -2.861  0.4262
 lent i: - lent u:     -0.29961 0.121   39.1  -2.473  0.6872
 lent i: - rapide e:   -1.30017 0.173   24.4  -7.522  <.0001
 lent i: - moyen e:    -1.15658 0.173   24.4  -6.691  0.0001
 lent i: - lent e:     -1.05531 0.173   24.4  -6.105  0.0004
 lent i: - rapide o:   -1.41450 0.183   21.8  -7.736  <.0001
 lent i: - moyen o:    -1.32349 0.183   21.8  -7.238  0.0001
 lent i: - lent o:     -1.23029 0.183   21.8  -6.729  0.0002
 rapide a: - moyen a:  -0.02148 0.022 9472.0  -0.978  1.0000
 rapide a: - lent a:   -0.11724 0.022 9472.0  -5.338  <.0001
 rapide a: - rapide u:  2.25000 0.215   16.8  10.482  <.0001
 rapide a: - moyen u:   2.49369 0.215   16.8  11.617  <.0001
 rapide a: - lent u:    2.54066 0.215   16.8  11.836  <.0001
 rapide a: - rapide e:  1.54011 0.159   29.4   9.688  <.0001
 rapide a: - moyen e:   1.68369 0.159   29.4  10.591  <.0001
 rapide a: - lent e:    1.78496 0.159   29.4  11.228  <.0001
 rapide a: - rapide o:  1.42578 0.156   30.9   9.158  <.0001
 rapide a: - moyen o:   1.51679 0.156   30.9   9.742  <.0001
 rapide a: - lent o:    1.60999 0.156   30.9  10.341  <.0001
 moyen a: - lent a:    -0.09576 0.022 9472.0  -4.360  0.0031
 moyen a: - rapide u:   2.27149 0.215   16.8  10.582  <.0001
 moyen a: - moyen u:    2.51517 0.215   16.8  11.717  <.0001
 moyen a: - lent u:     2.56214 0.215   16.8  11.936  <.0001
 moyen a: - rapide e:   1.56159 0.159   29.4   9.823  <.0001
 moyen a: - moyen e:    1.70518 0.159   29.4  10.726  <.0001
 moyen a: - lent e:     1.80644 0.159   29.4  11.363  <.0001
 moyen a: - rapide o:   1.44726 0.156   30.9   9.296  <.0001
 moyen a: - moyen o:    1.53827 0.156   30.9   9.880  <.0001
 moyen a: - lent o:     1.63147 0.156   30.9  10.479  <.0001
 lent a: - rapide u:    2.36724 0.215   16.8  11.028  <.0001
 lent a: - moyen u:     2.61092 0.215   16.8  12.163  <.0001
 lent a: - lent u:      2.65790 0.215   16.8  12.382  <.0001
 lent a: - rapide e:    1.65734 0.159   29.4  10.425  <.0001
 lent a: - moyen e:     1.80093 0.159   29.4  11.328  <.0001
 lent a: - lent e:      1.90220 0.159   29.4  11.965  <.0001
 lent a: - rapide o:    1.54301 0.156   30.9   9.911  <.0001
 lent a: - moyen o:     1.63402 0.156   30.9  10.495  <.0001
 lent a: - lent o:      1.72723 0.156   30.9  11.094  <.0001
 rapide u: - moyen u:   0.24368 0.022 9472.0  11.095  <.0001
 rapide u: - lent u:    0.29066 0.022 9472.0  13.234  <.0001
 rapide u: - rapide e: -0.70990 0.168   25.9  -4.221  0.0336
 rapide u: - moyen e:  -0.56631 0.168   25.9  -3.368  0.1955
 rapide u: - lent e:   -0.46504 0.168   25.9  -2.765  0.4984
 rapide u: - rapide o: -0.82423 0.179   22.8  -4.604  0.0170
 rapide u: - moyen o:  -0.73322 0.179   22.8  -4.096  0.0504
 rapide u: - lent o:   -0.64001 0.179   22.8  -3.575  0.1410
 moyen u: - lent u:     0.04698 0.022 9472.0   2.139  0.8989
 moyen u: - rapide e:  -0.95358 0.168   25.9  -5.670  0.0010
 moyen u: - moyen e:   -0.80999 0.168   25.9  -4.817  0.0084
 moyen u: - lent e:    -0.70872 0.168   25.9  -4.214  0.0341
 moyen u: - rapide o:  -1.06791 0.179   22.8  -5.965  0.0008
 moyen u: - moyen o:   -0.97690 0.179   22.8  -5.457  0.0025
 moyen u: - lent o:    -0.88369 0.179   22.8  -4.936  0.0081
 lent u: - rapide e:   -1.00056 0.168   25.9  -5.950  0.0005
 lent u: - moyen e:    -0.85697 0.168   25.9  -5.096  0.0043
 lent u: - lent e:     -0.75570 0.168   25.9  -4.494  0.0180
 lent u: - rapide o:   -1.11489 0.179   22.8  -6.228  0.0004
 lent u: - moyen o:    -1.02388 0.179   22.8  -5.719  0.0014
 lent u: - lent o:     -0.93067 0.179   22.8  -5.199  0.0045
 rapide e: - moyen e:   0.14359 0.022 9472.0   6.538  <.0001
 rapide e: - lent e:    0.24486 0.022 9472.0  11.148  <.0001
 rapide e: - rapide o: -0.11433 0.122   39.7  -0.937  1.0000
 rapide e: - moyen o:  -0.02332 0.122   39.7  -0.191  1.0000
 rapide e: - lent o:    0.06989 0.122   39.7   0.572  1.0000
 moyen e: - lent e:     0.10127 0.022 9472.0   4.611  0.0010
 moyen e: - rapide o:  -0.25792 0.122   39.7  -2.113  0.8866
 moyen e: - moyen o:   -0.16691 0.122   39.7  -1.367  0.9991
 moyen e: - lent o:    -0.07370 0.122   39.7  -0.604  1.0000
 lent e: - rapide o:   -0.35919 0.122   39.7  -2.942  0.3753
 lent e: - moyen o:    -0.26818 0.122   39.7  -2.197  0.8488
 lent e: - lent o:     -0.17497 0.122   39.7  -1.433  0.9982
 rapide o: - moyen o:   0.09101 0.022 9472.0   4.144  0.0077
 rapide o: - lent o:    0.18421 0.022 9472.0   8.387  <.0001
 moyen o: - lent o:     0.09320 0.022 9472.0   4.244  0.0051

Results are averaged over the levels of: Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 24 estimates 

7 F2midnor

7.1 Optimal model

7.1.1 Read Rds

lm.mod.Optimal <- readRDS("lm.mod.Optimal.F2midnor.Rds")

7.1.2 Summary

summary(lm.mod.Optimal)
Linear mixed model fit by REML. t-tests use Satterthwaite's method ['lmerModLmerTest']
Formula: F2midnor ~ Debit * V + Sex + (Debit | Speaker) + (1 | Word)
   Data: Arabic
Control: lmerControl(optimizer = "bobyqa", optCtrl = list(maxfun = 2e+05))

REML criterion at convergence: -292.6

Scaled residuals: 
    Min      1Q  Median      3Q     Max 
-5.2592 -0.6335  0.0101  0.6282  4.0608 

Random effects:
 Groups   Name        Variance Std.Dev. Corr       
 Word     (Intercept) 0.031608 0.17779             
 Speaker  (Intercept) 0.021444 0.14644             
          Debitmoyen  0.003813 0.06175  -0.60      
          Debitlent   0.005736 0.07573  -0.75  0.93
 Residual             0.054544 0.23355             
Number of obs: 9600, groups:  Word, 40; Speaker, 10

Fixed effects:
                 Estimate Std. Error         df t value Pr(>|t|)    
(Intercept)       0.99433    0.09740   42.53042  10.209 5.21e-13 ***
Debitmoyen        0.04262    0.02557   22.30537   1.667 0.109569    
Debitlent         0.10209    0.02909   17.45406   3.509 0.002602 ** 
Va               -0.52603    0.11365   32.92031  -4.629 5.51e-05 ***
Vu               -1.28229    0.11365   32.92031 -11.283 7.49e-13 ***
Vi:               0.67074    0.11365   32.92031   5.902 1.30e-06 ***
Va:              -0.72553    0.11365   32.92031  -6.384 3.16e-07 ***
Vu:              -1.69411    0.11365   32.92031 -14.907 3.39e-16 ***
Ve:               0.02654    0.11365   32.92031   0.233 0.816825    
Vo:              -1.50944    0.11365   32.92031 -13.282 8.94e-15 ***
Sexm             -0.66774    0.05945    7.99999 -11.231 3.54e-06 ***
Debitmoyen:Va    -0.05616    0.02335 9516.99998  -2.405 0.016209 *  
Debitlent:Va     -0.12045    0.02335 9516.99997  -5.157 2.55e-07 ***
Debitmoyen:Vu    -0.14712    0.02335 9516.99998  -6.300 3.12e-10 ***
Debitlent:Vu     -0.26061    0.02335 9516.99998 -11.159  < 2e-16 ***
Debitmoyen:Vi:    0.03778    0.02335 9516.99998   1.618 0.105775    
Debitlent:Vi:     0.08295    0.02335 9516.99998   3.552 0.000384 ***
Debitmoyen:Va:   -0.07739    0.02335 9516.99998  -3.314 0.000924 ***
Debitlent:Va:    -0.17570    0.02335 9516.99998  -7.523 5.84e-14 ***
Debitmoyen:Vu:   -0.25763    0.02335 9516.99998 -11.031  < 2e-16 ***
Debitlent:Vu:    -0.47977    0.02335 9516.99998 -20.543  < 2e-16 ***
Debitmoyen:Ve:    0.05345    0.02335 9516.99998   2.289 0.022125 *  
Debitlent:Ve:     0.09487    0.02335 9516.99998   4.062 4.90e-05 ***
Debitmoyen:Vo:   -0.17368    0.02335 9516.99998  -7.437 1.12e-13 ***
Debitlent:Vo:    -0.40882    0.02335 9516.99998 -17.505  < 2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Correlation matrix not shown by default, as p = 25 > 12.
Use print(x, correlation=TRUE)  or
    vcov(x)        if you need it

7.1.3 Anova

print(anova(lm.mod.Optimal))
Type III Analysis of Variance Table with Satterthwaite's method
        Sum Sq Mean Sq NumDF DenDF  F value    Pr(>F)    
Debit    0.320  0.1599     2     9   2.9318    0.1046    
V       52.840  7.5485     7    32 138.3930 < 2.2e-16 ***
Sex      6.880  6.8804     1     8 126.1439 3.545e-06 ***
Debit:V 65.585  4.6847    14  9517  85.8880 < 2.2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

7.1.4 Model’s fit

tab_model(lm.mod.Optimal,file="test.html")
htmltools::includeHTML("test.html")
  F2midnor
Predictors Estimates CI p
(Intercept) 0.99 0.80 – 1.19 <0.001
Debit [moyen] 0.04 -0.01 – 0.09 0.096
Debit [lent] 0.10 0.05 – 0.16 <0.001
Va -0.53 -0.75 – -0.30 <0.001
Vu -1.28 -1.51 – -1.06 <0.001
Vi 0.67 0.45 – 0.89 <0.001
Va -0.73 -0.95 – -0.50 <0.001
Vu -1.69 -1.92 – -1.47 <0.001
Ve 0.03 -0.20 – 0.25 0.815
Vo -1.51 -1.73 – -1.29 <0.001
Sex [m] -0.67 -0.78 – -0.55 <0.001
Debit [moyen] × Va -0.06 -0.10 – -0.01 0.016
Debit [lent] × Va -0.12 -0.17 – -0.07 <0.001
Debit [moyen] × Vu -0.15 -0.19 – -0.10 <0.001
Debit [lent] × Vu -0.26 -0.31 – -0.21 <0.001
Debit [moyen] × Vi 0.04 -0.01 – 0.08 0.106
Debit [lent] × Vi 0.08 0.04 – 0.13 <0.001
Debit [moyen] × Va -0.08 -0.12 – -0.03 0.001
Debit [lent] × Va -0.18 -0.22 – -0.13 <0.001
Debit [moyen] × Vu -0.26 -0.30 – -0.21 <0.001
Debit [lent] × Vu -0.48 -0.53 – -0.43 <0.001
Debit [moyen] × Ve 0.05 0.01 – 0.10 0.022
Debit [lent] × Ve 0.09 0.05 – 0.14 <0.001
Debit [moyen] × Vo -0.17 -0.22 – -0.13 <0.001
Debit [lent] × Vo -0.41 -0.45 – -0.36 <0.001
Random Effects
σ2 0.05
τ00 Word 0.03
τ00 Speaker 0.02
τ11 Speaker.Debitmoyen 0.00
τ11 Speaker.Debitlent 0.01
ρ01 Speaker.Debitmoyen -0.60
ρ01 Speaker.Debitlent -0.75
ICC 0.46
N Speaker 10
N Word 40
Observations 9600
Marginal R2 / Conditional R2 0.898 / 0.945

7.1.5 Evaluating Model’s assumptions - normality of residuals

qqnorm(residuals(lm.mod.Optimal))
qqline(residuals(lm.mod.Optimal))

7.1.6 Pairwise Comparison

7.1.6.1 Debit

if (file.exists(file = "emmF2midnorDebit.Rds")){
  emmF2midnorDebit <- readRDS("emmF2midnorDebit.Rds")
}else{
  emmF2midnorDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit)
  saveRDS(emmF2midnorDebit, "emmF2midnorDebit.Rds")
  emmF2midnorDebit <- readRDS("emmF2midnorDebit.Rds")
}
emmF2midnorDebit
$emmeans
 Debit    emmean     SE   df lower.CL upper.CL
 rapide  0.03044 0.0543 15.0  -0.0854   0.1462
 moyen  -0.00453 0.0474 18.0  -0.1042   0.0952
 lent   -0.02591 0.0430 21.4  -0.1153   0.0635

Results are averaged over the levels of: V, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast       estimate     SE df t.ratio p.value
 rapide - moyen   0.0350 0.0204  9   1.716  0.2516
 rapide - lent    0.0564 0.0247  9   2.286  0.1094
 moyen - lent     0.0214 0.0108  9   1.977  0.1737

Results are averaged over the levels of: V, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 3 estimates 

7.1.6.2 V

if (file.exists(file = "emmF2midnorV.Rds")){
  emmF2midnorV <- readRDS("emmF2midnorV.Rds")
}else{
  emmF2midnorV <- emmeans(lm.mod.Optimal, specs = pairwise ~ V)
  saveRDS(emmF2midnorV, "emmF2midnorV.Rds")
  emmF2midnorV <- readRDS("emmF2midnorV.Rds")
}
emmF2midnorV
$emmeans
 V  emmean     SE df lower.CL upper.CL
 i   0.709 0.0883 40   0.5302   0.8871
 a   0.124 0.0883 40  -0.0547   0.3022
 u  -0.710 0.0883 40  -0.8880  -0.5311
 i:  1.420 0.0883 40   1.2412   1.5981
 a: -0.101 0.0883 40  -0.2797   0.0773
 u: -1.231 0.0883 40  -1.4097  -1.0528
 e:  0.785 0.0883 40   0.6062   0.9631
 o: -0.995 0.0883 40  -1.1734  -0.8165

Results are averaged over the levels of: Debit, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast estimate    SE df t.ratio p.value
 i - a       0.585 0.113 32   5.183  0.0003
 i - u       1.418 0.113 32  12.568  <.0001
 i - i:     -0.711 0.113 32  -6.301  <.0001
 i - a:      0.810 0.113 32   7.177  <.0001
 i - u:      1.940 0.113 32  17.191  <.0001
 i - e:     -0.076 0.113 32  -0.673  0.9972
 i - o:      1.704 0.113 32  15.097  <.0001
 a - u       0.833 0.113 32   7.384  <.0001
 a - i:     -1.296 0.113 32 -11.484  <.0001
 a - a:      0.225 0.113 32   1.994  0.5014
 a - u:      1.355 0.113 32  12.008  <.0001
 a - e:     -0.661 0.113 32  -5.856  <.0001
 a - o:      1.119 0.113 32   9.914  <.0001
 u - i:     -2.129 0.113 32 -18.868  <.0001
 u - a:     -0.608 0.113 32  -5.391  0.0002
 u - u:      0.522 0.113 32   4.623  0.0014
 u - e:     -1.494 0.113 32 -13.241  <.0001
 u - o:      0.285 0.113 32   2.529  0.2198
 i: - a:     1.521 0.113 32  13.477  <.0001
 i: - u:     2.651 0.113 32  23.491  <.0001
 i: - e:     0.635 0.113 32   5.627  0.0001
 i: - o:     2.415 0.113 32  21.397  <.0001
 a: - u:     1.130 0.113 32  10.014  <.0001
 a: - e:    -0.886 0.113 32  -7.850  <.0001
 a: - o:     0.894 0.113 32   7.920  <.0001
 u: - e:    -2.016 0.113 32 -17.864  <.0001
 u: - o:    -0.236 0.113 32  -2.094  0.4398
 e: - o:     1.780 0.113 32  15.770  <.0001

Results are averaged over the levels of: Debit, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 8 estimates 

7.1.6.3 Debit x V

if (file.exists(file = "emmF2midnorDebitV.Rds")){
  emmF2midnorDebitV <- readRDS("emmF2midnorDebitV.Rds")
}else{
  emmF2midnorDebitV <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit:V)
  saveRDS(emmF2midnorDebitV, "emmF2midnorDebitV.Rds")
  emmF2midnorDebitV <- readRDS("emmF2midnorDebitV.Rds")
}
emmF2midnorDebitV
$emmeans
 Debit  V   emmean     SE   df lower.CL upper.CL
 rapide i   0.6605 0.0927 40.5   0.4731   0.8478
 moyen  i   0.7031 0.0889 40.8   0.5235   0.8826
 lent   i   0.7625 0.0866 40.0   0.5875   0.9376
 rapide a   0.1344 0.0927 40.5  -0.0530   0.3218
 moyen  a   0.1209 0.0889 40.8  -0.0587   0.3004
 lent   a   0.1161 0.0866 40.0  -0.0590   0.2911
 rapide u  -0.6218 0.0927 40.5  -0.8092  -0.4344
 moyen  u  -0.7263 0.0889 40.8  -0.9059  -0.5468
 lent   u  -0.7804 0.0866 40.0  -0.9554  -0.6053
 rapide i:  1.3312 0.0927 40.5   1.1438   1.5186
 moyen  i:  1.4116 0.0889 40.8   1.2321   1.5911
 lent   i:  1.5162 0.0866 40.0   1.3412   1.6913
 rapide a: -0.0651 0.0927 40.5  -0.2525   0.1223
 moyen  a: -0.0998 0.0889 40.8  -0.2794   0.0797
 lent   a: -0.1387 0.0866 40.0  -0.3137   0.0364
 rapide u: -1.0337 0.0927 40.5  -1.2210  -0.8463
 moyen  u: -1.2487 0.0889 40.8  -1.4282  -1.0691
 lent   u: -1.4113 0.0866 40.0  -1.5864  -1.2363
 rapide e:  0.6870 0.0927 40.5   0.4996   0.8744
 moyen  e:  0.7831 0.0889 40.8   0.6035   0.9626
 lent   e:  0.8840 0.0866 40.0   0.7089   1.0590
 rapide o: -0.8490 0.0927 40.5  -1.0364  -0.6616
 moyen  o: -0.9800 0.0889 40.8  -1.1596  -0.8005
 lent   o: -1.1557 0.0866 40.0  -1.3308  -0.9807

Results are averaged over the levels of: Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast              estimate     SE   df t.ratio p.value
 rapide i - moyen i    -0.04262 0.0256 22.3  -1.667  0.9834
 rapide i - lent i     -0.10209 0.0291 17.4  -3.509  0.1802
 rapide i - rapide a    0.52603 0.1140 32.9   4.629  0.0091
 rapide i - moyen a     0.53957 0.1150 34.8   4.679  0.0073
 rapide i - lent a      0.54439 0.1160 35.6   4.687  0.0069
 rapide i - rapide u    1.28229 0.1140 32.9  11.283  <.0001
 rapide i - moyen u     1.38679 0.1150 34.8  12.026  <.0001
 rapide i - lent u      1.44082 0.1160 35.6  12.405  <.0001
 rapide i - rapide i:  -0.67074 0.1140 32.9  -5.902  0.0003
 rapide i - moyen i:   -0.75114 0.1150 34.8  -6.514  <.0001
 rapide i - lent i:    -0.85579 0.1160 35.6  -7.368  <.0001
 rapide i - rapide a:   0.72553 0.1140 32.9   6.384  0.0001
 rapide i - moyen a:    0.76030 0.1150 34.8   6.593  <.0001
 rapide i - lent a:     0.79914 0.1160 35.6   6.881  <.0001
 rapide i - rapide u:   1.69411 0.1140 32.9  14.907  <.0001
 rapide i - moyen u:    1.90912 0.1150 34.8  16.556  <.0001
 rapide i - lent u:     2.07179 0.1160 35.6  17.838  <.0001
 rapide i - rapide e:  -0.02654 0.1140 32.9  -0.233  1.0000
 rapide i - moyen e:   -0.12261 0.1150 34.8  -1.063  1.0000
 rapide i - lent e:    -0.22350 0.1160 35.6  -1.924  0.9466
 rapide i - rapide o:   1.50944 0.1140 32.9  13.282  <.0001
 rapide i - moyen o:    1.64050 0.1150 34.8  14.226  <.0001
 rapide i - lent o:     1.81618 0.1160 35.6  15.637  <.0001
 moyen i - lent i      -0.05947 0.0189 82.8  -3.154  0.2340
 moyen i - rapide a     0.56865 0.1150 34.8   4.931  0.0037
 moyen i - moyen a      0.58219 0.1140 32.9   5.123  0.0024
 moyen i - lent a       0.58701 0.1140 33.3   5.149  0.0022
 moyen i - rapide u     1.32491 0.1150 34.8  11.490  <.0001
 moyen i - moyen u      1.42942 0.1140 32.9  12.577  <.0001
 moyen i - lent u       1.48344 0.1140 33.3  13.011  <.0001
 moyen i - rapide i:   -0.62812 0.1150 34.8  -5.447  0.0008
 moyen i - moyen i:    -0.70852 0.1140 32.9  -6.234  0.0001
 moyen i - lent i:     -0.81317 0.1140 33.3  -7.132  <.0001
 moyen i - rapide a:    0.76815 0.1150 34.8   6.661  <.0001
 moyen i - moyen a:     0.80292 0.1140 32.9   7.065  <.0001
 moyen i - lent a:      0.84176 0.1140 33.3   7.383  <.0001
 moyen i - rapide u:    1.73673 0.1150 34.8  15.061  <.0001
 moyen i - moyen u:     1.95174 0.1140 32.9  17.173  <.0001
 moyen i - lent u:      2.11441 0.1140 33.3  18.545  <.0001
 moyen i - rapide e:    0.01608 0.1150 34.8   0.139  1.0000
 moyen i - moyen e:    -0.07999 0.1140 32.9  -0.704  1.0000
 moyen i - lent e:     -0.18088 0.1140 33.3  -1.586  0.9926
 moyen i - rapide o:    1.55206 0.1150 34.8  13.459  <.0001
 moyen i - moyen o:     1.68312 0.1140 32.9  14.810  <.0001
 moyen i - lent o:      1.85880 0.1140 33.3  16.303  <.0001
 lent i - rapide a      0.62812 0.1160 35.6   5.408  0.0009
 lent i - moyen a       0.64166 0.1140 33.3   5.628  0.0006
 lent i - lent a        0.64648 0.1140 32.9   5.688  0.0005
 lent i - rapide u      1.38438 0.1160 35.6  11.919  <.0001
 lent i - moyen u       1.48888 0.1140 33.3  13.059  <.0001
 lent i - lent u        1.54291 0.1140 32.9  13.576  <.0001
 lent i - rapide i:    -0.56865 0.1160 35.6  -4.896  0.0039
 lent i - moyen i:     -0.64905 0.1140 33.3  -5.693  0.0005
 lent i - lent i:      -0.75370 0.1140 32.9  -6.632  <.0001
 lent i - rapide a:     0.82762 0.1160 35.6   7.126  <.0001
 lent i - moyen a:      0.86239 0.1140 33.3   7.564  <.0001
 lent i - lent a:       0.90123 0.1140 32.9   7.930  <.0001
 lent i - rapide u:     1.79620 0.1160 35.6  15.465  <.0001
 lent i - moyen u:      2.01121 0.1140 33.3  17.640  <.0001
 lent i - lent u:       2.17388 0.1140 32.9  19.128  <.0001
 lent i - rapide e:     0.07555 0.1160 35.6   0.651  1.0000
 lent i - moyen e:     -0.02052 0.1140 33.3  -0.180  1.0000
 lent i - lent e:      -0.12141 0.1140 32.9  -1.068  1.0000
 lent i - rapide o:     1.61153 0.1160 35.6  13.875  <.0001
 lent i - moyen o:      1.74259 0.1140 33.3  15.284  <.0001
 lent i - lent o:       1.91827 0.1140 32.9  16.879  <.0001
 rapide a - moyen a     0.01354 0.0256 22.3   0.529  1.0000
 rapide a - lent a      0.01836 0.0291 17.4   0.631  1.0000
 rapide a - rapide u    0.75626 0.1140 32.9   6.654  <.0001
 rapide a - moyen u     0.86076 0.1150 34.8   7.464  <.0001
 rapide a - lent u      0.91478 0.1160 35.6   7.876  <.0001
 rapide a - rapide i:  -1.19678 0.1140 32.9 -10.530  <.0001
 rapide a - moyen i:   -1.27718 0.1150 34.8 -11.076  <.0001
 rapide a - lent i:    -1.38182 0.1160 35.6 -11.897  <.0001
 rapide a - rapide a:   0.19950 0.1140 32.9   1.755  0.9773
 rapide a - moyen a:    0.23427 0.1150 34.8   2.032  0.9145
 rapide a - lent a:     0.27311 0.1160 35.6   2.351  0.7628
 rapide a - rapide u:   1.16808 0.1140 32.9  10.278  <.0001
 rapide a - moyen u:    1.38308 0.1150 34.8  11.994  <.0001
 rapide a - lent u:     1.54575 0.1160 35.6  13.309  <.0001
 rapide a - rapide e:  -0.55257 0.1140 32.9  -4.862  0.0049
 rapide a - moyen e:   -0.64864 0.1150 34.8  -5.625  0.0005
 rapide a - lent e:    -0.74953 0.1160 35.6  -6.453  <.0001
 rapide a - rapide o:   0.98341 0.1140 32.9   8.653  <.0001
 rapide a - moyen o:    1.11447 0.1150 34.8   9.665  <.0001
 rapide a - lent o:     1.29014 0.1160 35.6  11.108  <.0001
 moyen a - lent a       0.00482 0.0189 82.8   0.256  1.0000
 moyen a - rapide u     0.74272 0.1150 34.8   6.441  <.0001
 moyen a - moyen u      0.84722 0.1140 32.9   7.455  <.0001
 moyen a - lent u       0.90125 0.1140 33.3   7.905  <.0001
 moyen a - rapide i:   -1.21032 0.1150 34.8 -10.496  <.0001
 moyen a - moyen i:    -1.29072 0.1140 32.9 -11.357  <.0001
 moyen a - lent i:     -1.39536 0.1140 33.3 -12.239  <.0001
 moyen a - rapide a:    0.18596 0.1150 34.8   1.613  0.9913
 moyen a - moyen a:     0.22073 0.1140 32.9   1.942  0.9406
 moyen a - lent a:      0.25957 0.1140 33.3   2.277  0.8042
 moyen a - rapide u:    1.15454 0.1150 34.8  10.012  <.0001
 moyen a - moyen u:     1.36955 0.1140 32.9  12.051  <.0001
 moyen a - lent u:      1.53222 0.1140 33.3  13.439  <.0001
 moyen a - rapide e:   -0.56611 0.1150 34.8  -4.909  0.0039
 moyen a - moyen e:    -0.66218 0.1140 32.9  -5.827  0.0003
 moyen a - lent e:     -0.76307 0.1140 33.3  -6.693  <.0001
 moyen a - rapide o:    0.96987 0.1150 34.8   8.411  <.0001
 moyen a - moyen o:     1.10093 0.1140 32.9   9.687  <.0001
 moyen a - lent o:      1.27661 0.1140 33.3  11.197  <.0001
 lent a - rapide u      0.73790 0.1160 35.6   6.353  0.0001
 lent a - moyen u       0.84240 0.1140 33.3   7.389  <.0001
 lent a - lent u        0.89642 0.1140 32.9   7.888  <.0001
 lent a - rapide i:    -1.21514 0.1160 35.6 -10.462  <.0001
 lent a - moyen i:     -1.29554 0.1140 33.3 -11.363  <.0001
 lent a - lent i:      -1.40018 0.1140 32.9 -12.320  <.0001
 lent a - rapide a:     0.18114 0.1160 35.6   1.560  0.9942
 lent a - moyen a:      0.21591 0.1140 33.3   1.894  0.9528
 lent a - lent a:       0.25475 0.1140 32.9   2.242  0.8226
 lent a - rapide u:     1.14972 0.1160 35.6   9.899  <.0001
 lent a - moyen u:      1.36472 0.1140 33.3  11.970  <.0001
 lent a - lent u:       1.52739 0.1140 32.9  13.440  <.0001
 lent a - rapide e:    -0.57093 0.1160 35.6  -4.916  0.0037
 lent a - moyen e:     -0.66700 0.1140 33.3  -5.850  0.0003
 lent a - lent e:      -0.76789 0.1140 32.9  -6.757  <.0001
 lent a - rapide o:     0.96505 0.1160 35.6   8.309  <.0001
 lent a - moyen o:      1.09611 0.1140 33.3   9.614  <.0001
 lent a - lent o:       1.27178 0.1140 32.9  11.190  <.0001
 rapide u - moyen u     0.10450 0.0256 22.3   4.086  0.0524
 rapide u - lent u      0.15852 0.0291 17.4   5.449  0.0051
 rapide u - rapide i:  -1.95304 0.1140 32.9 -17.185  <.0001
 rapide u - moyen i:   -2.03344 0.1150 34.8 -17.634  <.0001
 rapide u - lent i:    -2.13808 0.1160 35.6 -18.409  <.0001
 rapide u - rapide a:  -0.55676 0.1140 32.9  -4.899  0.0044
 rapide u - moyen a:   -0.52199 0.1150 34.8  -4.527  0.0111
 rapide u - lent a:    -0.48315 0.1160 35.6  -4.160  0.0282
 rapide u - rapide u:   0.41182 0.1140 32.9   3.624  0.1064
 rapide u - moyen u:    0.62683 0.1150 34.8   5.436  0.0009
 rapide u - lent u:     0.78950 0.1160 35.6   6.798  <.0001
 rapide u - rapide e:  -1.30883 0.1140 32.9 -11.516  <.0001
 rapide u - moyen e:   -1.40490 0.1150 34.8 -12.183  <.0001
 rapide u - lent e:    -1.50579 0.1160 35.6 -12.965  <.0001
 rapide u - rapide o:   0.22715 0.1140 32.9   1.999  0.9241
 rapide u - moyen o:    0.35821 0.1150 34.8   3.106  0.2900
 rapide u - lent o:     0.53388 0.1160 35.6   4.597  0.0089
 moyen u - lent u       0.05402 0.0189 82.8   2.865  0.4069
 moyen u - rapide i:   -2.05754 0.1150 34.8 -17.843  <.0001
 moyen u - moyen i:    -2.13794 0.1140 32.9 -18.812  <.0001
 moyen u - lent i:     -2.24258 0.1140 33.3 -19.670  <.0001
 moyen u - rapide a:   -0.66126 0.1150 34.8  -5.734  0.0004
 moyen u - moyen a:    -0.62649 0.1140 32.9  -5.513  0.0008
 moyen u - lent a:     -0.58765 0.1140 33.3  -5.154  0.0021
 moyen u - rapide u:    0.30731 0.1150 34.8   2.665  0.5584
 moyen u - moyen u:     0.52232 0.1140 32.9   4.596  0.0100
 moyen u - lent u:      0.68499 0.1140 33.3   6.008  0.0002
 moyen u - rapide e:   -1.41333 0.1150 34.8 -12.256  <.0001
 moyen u - moyen e:    -1.50940 0.1140 32.9 -13.281  <.0001
 moyen u - lent e:     -1.61029 0.1140 33.3 -14.124  <.0001
 moyen u - rapide o:    0.12265 0.1150 34.8   1.064  1.0000
 moyen u - moyen o:     0.25371 0.1140 32.9   2.232  0.8273
 moyen u - lent o:      0.42938 0.1140 33.3   3.766  0.0770
 lent u - rapide i:    -2.11156 0.1160 35.6 -18.180  <.0001
 lent u - moyen i:     -2.19196 0.1140 33.3 -19.226  <.0001
 lent u - lent i:      -2.29660 0.1140 32.9 -20.208  <.0001
 lent u - rapide a:    -0.71528 0.1160 35.6  -6.159  0.0001
 lent u - moyen a:     -0.68051 0.1140 33.3  -5.969  0.0002
 lent u - lent a:      -0.64168 0.1140 32.9  -5.646  0.0006
 lent u - rapide u:     0.25329 0.1160 35.6   2.181  0.8543
 lent u - moyen u:      0.46830 0.1140 33.3   4.107  0.0342
 lent u - lent u:       0.63097 0.1140 32.9   5.552  0.0007
 lent u - rapide e:    -1.46735 0.1160 35.6 -12.634  <.0001
 lent u - moyen e:     -1.56342 0.1140 33.3 -13.713  <.0001
 lent u - lent e:      -1.66431 0.1140 32.9 -14.644  <.0001
 lent u - rapide o:     0.06863 0.1160 35.6   0.591  1.0000
 lent u - moyen o:      0.19969 0.1140 33.3   1.751  0.9779
 lent u - lent o:       0.37536 0.1140 32.9   3.303  0.2049
 rapide i: - moyen i:  -0.08040 0.0256 22.3  -3.144  0.2971
 rapide i: - lent i:   -0.18504 0.0291 17.4  -6.361  0.0009
 rapide i: - rapide a:  1.39628 0.1140 32.9  12.286  <.0001
 rapide i: - moyen a:   1.43105 0.1150 34.8  12.410  <.0001
 rapide i: - lent a:    1.46989 0.1160 35.6  12.656  <.0001
 rapide i: - rapide u:  2.36485 0.1140 32.9  20.808  <.0001
 rapide i: - moyen u:   2.57986 0.1150 34.8  22.372  <.0001
 rapide i: - lent u:    2.74253 0.1160 35.6  23.613  <.0001
 rapide i: - rapide e:  0.64421 0.1140 32.9   5.668  0.0005
 rapide i: - moyen e:   0.54814 0.1150 34.8   4.753  0.0060
 rapide i: - lent e:    0.44725 0.1160 35.6   3.851  0.0606
 rapide i: - rapide o:  2.18019 0.1140 32.9  19.184  <.0001
 rapide i: - moyen o:   2.31125 0.1150 34.8  20.043  <.0001
 rapide i: - lent o:    2.48692 0.1160 35.6  21.412  <.0001
 moyen i: - lent i:    -0.10464 0.0189 82.8  -5.549  0.0001
 moyen i: - rapide a:   1.47668 0.1150 34.8  12.806  <.0001
 moyen i: - moyen a:    1.51145 0.1140 32.9  13.299  <.0001
 moyen i: - lent a:     1.55029 0.1140 33.3  13.597  <.0001
 moyen i: - rapide u:   2.44525 0.1150 34.8  21.205  <.0001
 moyen i: - moyen u:    2.66026 0.1140 32.9  23.408  <.0001
 moyen i: - lent u:     2.82293 0.1140 33.3  24.760  <.0001
 moyen i: - rapide e:   0.72461 0.1150 34.8   6.284  0.0001
 moyen i: - moyen e:    0.62854 0.1140 32.9   5.531  0.0008
 moyen i: - lent e:     0.52765 0.1140 33.3   4.628  0.0090
 moyen i: - rapide o:   2.26059 0.1150 34.8  19.604  <.0001
 moyen i: - moyen o:    2.39165 0.1140 32.9  21.044  <.0001
 moyen i: - lent o:     2.56732 0.1140 33.3  22.518  <.0001
 lent i: - rapide a:    1.58132 0.1160 35.6  13.615  <.0001
 lent i: - moyen a:     1.61609 0.1140 33.3  14.175  <.0001
 lent i: - lent a:      1.65493 0.1140 32.9  14.562  <.0001
 lent i: - rapide u:    2.54990 0.1160 35.6  21.954  <.0001
 lent i: - moyen u:     2.76490 0.1140 33.3  24.251  <.0001
 lent i: - lent u:      2.92757 0.1140 32.9  25.760  <.0001
 lent i: - rapide e:    0.82925 0.1160 35.6   7.140  <.0001
 lent i: - moyen e:     0.73318 0.1140 33.3   6.431  0.0001
 lent i: - lent e:      0.63229 0.1140 32.9   5.564  0.0007
 lent i: - rapide o:    2.36523 0.1160 35.6  20.364  <.0001
 lent i: - moyen o:     2.49629 0.1140 33.3  21.895  <.0001
 lent i: - lent o:      2.67196 0.1140 32.9  23.511  <.0001
 rapide a: - moyen a:   0.03477 0.0256 22.3   1.360  0.9985
 rapide a: - lent a:    0.07361 0.0291 17.4   2.530  0.6478
 rapide a: - rapide u:  0.96858 0.1140 32.9   8.523  <.0001
 rapide a: - moyen u:   1.18358 0.1150 34.8  10.264  <.0001
 rapide a: - lent u:    1.34625 0.1160 35.6  11.591  <.0001
 rapide a: - rapide e: -0.75207 0.1140 32.9  -6.617  <.0001
 rapide a: - moyen e:  -0.84814 0.1150 34.8  -7.355  <.0001
 rapide a: - lent e:   -0.94903 0.1160 35.6  -8.171  <.0001
 rapide a: - rapide o:  0.78391 0.1140 32.9   6.898  <.0001
 rapide a: - moyen o:   0.91497 0.1150 34.8   7.935  <.0001
 rapide a: - lent o:    1.09064 0.1160 35.6   9.390  <.0001
 moyen a: - lent a:     0.03884 0.0189 82.8   2.060  0.9179
 moyen a: - rapide u:   0.93381 0.1150 34.8   8.098  <.0001
 moyen a: - moyen u:    1.14881 0.1140 32.9  10.108  <.0001
 moyen a: - lent u:     1.31148 0.1140 33.3  11.503  <.0001
 moyen a: - rapide e:  -0.78684 0.1150 34.8  -6.823  <.0001
 moyen a: - moyen e:   -0.88291 0.1140 32.9  -7.769  <.0001
 moyen a: - lent e:    -0.98380 0.1140 33.3  -8.629  <.0001
 moyen a: - rapide o:   0.74914 0.1150 34.8   6.497  <.0001
 moyen a: - moyen o:    0.88020 0.1140 32.9   7.745  <.0001
 moyen a: - lent o:     1.05587 0.1140 33.3   9.261  <.0001
 lent a: - rapide u:    0.89497 0.1160 35.6   7.706  <.0001
 lent a: - moyen u:     1.10998 0.1140 33.3   9.736  <.0001
 lent a: - lent u:      1.27265 0.1140 32.9  11.198  <.0001
 lent a: - rapide e:   -0.82568 0.1160 35.6  -7.109  <.0001
 lent a: - moyen e:    -0.92175 0.1140 33.3  -8.085  <.0001
 lent a: - lent e:     -1.02264 0.1140 32.9  -8.998  <.0001
 lent a: - rapide o:    0.71030 0.1160 35.6   6.116  0.0001
 lent a: - moyen o:     0.84136 0.1140 33.3   7.380  <.0001
 lent a: - lent o:      1.01703 0.1140 32.9   8.949  <.0001
 rapide u: - moyen u:   0.21501 0.0256 22.3   8.408  <.0001
 rapide u: - lent u:    0.37768 0.0291 17.4  12.983  <.0001
 rapide u: - rapide e: -1.72065 0.1140 32.9 -15.140  <.0001
 rapide u: - moyen e:  -1.81672 0.1150 34.8 -15.754  <.0001
 rapide u: - lent e:   -1.91761 0.1160 35.6 -16.510  <.0001
 rapide u: - rapide o: -0.18467 0.1140 32.9  -1.625  0.9902
 rapide u: - moyen o:  -0.05361 0.1150 34.8  -0.465  1.0000
 rapide u: - lent o:    0.12207 0.1160 35.6   1.051  1.0000
 moyen u: - lent u:     0.16267 0.0189 82.8   8.626  <.0001
 moyen u: - rapide e:  -1.93565 0.1150 34.8 -16.786  <.0001
 moyen u: - moyen e:   -2.03172 0.1140 32.9 -17.877  <.0001
 moyen u: - lent e:    -2.13262 0.1140 33.3 -18.705  <.0001
 moyen u: - rapide o:  -0.39967 0.1150 34.8  -3.466  0.1454
 moyen u: - moyen o:   -0.26861 0.1140 32.9  -2.364  0.7544
 moyen u: - lent o:    -0.09294 0.1140 33.3  -0.815  1.0000
 lent u: - rapide e:   -2.09832 0.1160 35.6 -18.066  <.0001
 lent u: - moyen e:    -2.19439 0.1140 33.3 -19.247  <.0001
 lent u: - lent e:     -2.29529 0.1140 32.9 -20.196  <.0001
 lent u: - rapide o:   -0.56234 0.1160 35.6  -4.842  0.0045
 lent u: - moyen o:    -0.43128 0.1140 33.3  -3.783  0.0741
 lent u: - lent o:     -0.25561 0.1140 32.9  -2.249  0.8186
 rapide e: - moyen e:  -0.09607 0.0256 22.3  -3.757  0.1012
 rapide e: - lent e:   -0.19696 0.0291 17.4  -6.771  0.0004
 rapide e: - rapide o:  1.53598 0.1140 32.9  13.515  <.0001
 rapide e: - moyen o:   1.66704 0.1150 34.8  14.457  <.0001
 rapide e: - lent o:    1.84271 0.1160 35.6  15.866  <.0001
 moyen e: - lent e:    -0.10089 0.0189 82.8  -5.350  0.0002
 moyen e: - rapide o:   1.63205 0.1150 34.8  14.153  <.0001
 moyen e: - moyen o:    1.76311 0.1140 32.9  15.514  <.0001
 moyen e: - lent o:     1.93878 0.1140 33.3  17.005  <.0001
 lent e: - rapide o:    1.73294 0.1160 35.6  14.921  <.0001
 lent e: - moyen o:     1.86400 0.1140 33.3  16.349  <.0001
 lent e: - lent o:      2.03967 0.1140 32.9  17.947  <.0001
 rapide o: - moyen o:   0.13106 0.0256 22.3   5.125  0.0055
 rapide o: - lent o:    0.30673 0.0291 17.4  10.544  <.0001
 moyen o: - lent o:     0.17567 0.0189 82.8   9.316  <.0001

Results are averaged over the levels of: Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 24 estimates 

8 F1midnor - Subset 1 - Timbre

8.1 Optimal model

8.1.1 Read Rds

lm.mod.Optimal <- readRDS("lm.mod.Optimal.F1midnorTimbreSub.Rds")

8.1.2 Summary

summary(lm.mod.Optimal)
Linear mixed model fit by REML. t-tests use Satterthwaite's method ['lmerModLmerTest']
Formula: F1midnor ~ Longueur * Timbre * Debit + Sex + (Timbre | Speaker) +      (1 | Word)
   Data: ArabicSub1
Control: lmerControl(optimizer = "bobyqa", optCtrl = list(maxfun = 2e+05))

REML criterion at convergence: 5489.6

Scaled residuals: 
    Min      1Q  Median      3Q     Max 
-6.3965 -0.5766 -0.0164  0.5838  5.9211 

Random effects:
 Groups   Name        Variance Std.Dev. Corr       
 Word     (Intercept) 0.04035  0.2009              
 Speaker  (Intercept) 0.23363  0.4834              
          Timbrei     0.13816  0.3717   -0.93      
          Timbreu     0.10758  0.3280   -0.89  0.96
 Residual             0.12011  0.3466              
Number of obs: 7200, groups:  Word, 30; Speaker, 10

Fixed effects:
                                    Estimate Std. Error         df t value Pr(>|t|)    
(Intercept)                        1.882e+00  1.870e-01  1.803e+01  10.065 7.95e-09 ***
Longueurcourte                    -9.507e-01  1.294e-01  2.519e+01  -7.348 1.02e-07 ***
Timbrei                           -2.588e+00  1.748e-01  2.860e+01 -14.806 6.07e-15 ***
Timbreu                           -2.250e+00  1.658e-01  3.121e+01 -13.568 1.24e-14 ***
Debitmoyen                         2.148e-02  2.451e-02  7.131e+03   0.877 0.380756    
Debitlent                          1.172e-01  2.451e-02  7.131e+03   4.784 1.75e-06 ***
Sexm                              -4.727e-01  1.138e-01  8.000e+00  -4.153 0.003194 ** 
Longueurcourte:Timbrei             1.594e+00  1.830e-01  2.519e+01   8.710 4.52e-09 ***
Longueurcourte:Timbreu             1.330e+00  1.830e-01  2.519e+01   7.266 1.24e-07 ***
Longueurcourte:Debitmoyen          4.086e-03  3.466e-02  7.131e+03   0.118 0.906158    
Longueurcourte:Debitlent          -3.440e-02  3.466e-02  7.131e+03  -0.993 0.320969    
Timbrei:Debitmoyen                -2.358e-01  3.466e-02  7.131e+03  -6.804 1.10e-11 ***
Timbreu:Debitmoyen                -2.652e-01  3.466e-02  7.131e+03  -7.651 2.26e-14 ***
Timbrei:Debitlent                 -3.693e-01  3.466e-02  7.131e+03 -10.655  < 2e-16 ***
Timbreu:Debitlent                 -4.079e-01  3.466e-02  7.131e+03 -11.769  < 2e-16 ***
Longueurcourte:Timbrei:Debitmoyen  7.997e-02  4.901e-02  7.131e+03   1.632 0.102821    
Longueurcourte:Timbreu:Debitmoyen  1.584e-01  4.901e-02  7.131e+03   3.232 0.001234 ** 
Longueurcourte:Timbrei:Debitlent   1.658e-01  4.901e-02  7.131e+03   3.382 0.000722 ***
Longueurcourte:Timbreu:Debitlent   2.861e-01  4.901e-02  7.131e+03   5.838 5.52e-09 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Correlation matrix not shown by default, as p = 19 > 12.
Use print(x, correlation=TRUE)  or
    vcov(x)        if you need it

8.1.3 Anova

print(anova(lm.mod.Optimal))
Type III Analysis of Variance Table with Satterthwaite's method
                       Sum Sq Mean Sq NumDF  DenDF F value    Pr(>F)    
Longueur               0.1798  0.1798     1   24.0  1.4967  0.233060    
Timbre                22.5593 11.2796     2   22.3 93.9090 1.387e-11 ***
Debit                 14.5352  7.2676     2 7131.0 60.5067 < 2.2e-16 ***
Sex                    2.0720  2.0720     1    8.0 17.2501  0.003194 ** 
Longueur:Timbre       12.3268  6.1634     2   24.0 51.3135 2.149e-09 ***
Longueur:Debit         4.3120  2.1560     2 7131.0 17.9499 1.675e-08 ***
Timbre:Debit          21.3518  5.3380     4 7131.0 44.4413 < 2.2e-16 ***
Longueur:Timbre:Debit  4.1535  1.0384     4 7131.0  8.6451 5.880e-07 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

8.1.4 Model’s fit

tab_model(lm.mod.Optimal,file="test.html")
htmltools::includeHTML("test.html")
  F1midnor
Predictors Estimates CI p
(Intercept) 1.88 1.52 – 2.25 <0.001
Longueur [courte] -0.95 -1.20 – -0.70 <0.001
Timbre [i] -2.59 -2.93 – -2.25 <0.001
Timbre [u] -2.25 -2.58 – -1.92 <0.001
Debit [moyen] 0.02 -0.03 – 0.07 0.381
Debit [lent] 0.12 0.07 – 0.17 <0.001
Sex [m] -0.47 -0.70 – -0.25 <0.001
Longueur [courte] ×
Timbre [i]
1.59 1.24 – 1.95 <0.001
Longueur [courte] ×
Timbre [u]
1.33 0.97 – 1.69 <0.001
Longueur [courte] × Debit
[moyen]
0.00 -0.06 – 0.07 0.906
Longueur [courte] × Debit
[lent]
-0.03 -0.10 – 0.03 0.321
Timbre [i] × Debit
[moyen]
-0.24 -0.30 – -0.17 <0.001
Timbre [u] × Debit
[moyen]
-0.27 -0.33 – -0.20 <0.001
Timbre [i] × Debit [lent] -0.37 -0.44 – -0.30 <0.001
Timbre [u] × Debit [lent] -0.41 -0.48 – -0.34 <0.001
(Longueur [courte] ×
Timbre [i]) × Debit
[moyen]
0.08 -0.02 – 0.18 0.103
(Longueur [courte] ×
Timbre [u]) × Debit
[moyen]
0.16 0.06 – 0.25 0.001
(Longueur [courte] ×
Timbre [i]) × Debit
[lent]
0.17 0.07 – 0.26 0.001
(Longueur [courte] ×
Timbre [u]) × Debit
[lent]
0.29 0.19 – 0.38 <0.001
Random Effects
σ2 0.12
τ00 Word 0.04
τ00 Speaker 0.23
τ11 Speaker.Timbrei 0.14
τ11 Speaker.Timbreu 0.11
ρ01 Speaker.Timbrei -0.93
ρ01 Speaker.Timbreu -0.89
ICC 0.56
N Speaker 10
N Word 30
Observations 7200
Marginal R2 / Conditional R2 0.782 / 0.903

8.1.5 Evaluating Model’s assumptions - normality of residuals

qqnorm(residuals(lm.mod.Optimal))
qqline(residuals(lm.mod.Optimal))

8.1.6 Pairwise Comparison

8.1.6.1 Debit

if (file.exists(file = "emmF1Sub1Debit.Rds")){
  emmF1Sub1Debit <- readRDS("emmF1Sub1Debit.Rds")
}else{
  emmF1Sub1Debit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit)
  saveRDS(emmF1Sub1Debit, "emmF1Sub1Debit.Rds")
  emmF1Sub1Debit <- readRDS("emmF1Sub1Debit.Rds")
}
emmF1Sub1Debit
$emmeans
 Debit   emmean     SE   df lower.CL upper.CL
 rapide  0.0450 0.0975 11.3   -0.169    0.259
 moyen  -0.0587 0.0975 11.3   -0.273    0.155
 lent   -0.0387 0.0975 11.3   -0.253    0.175

Results are averaged over the levels of: Longueur, Timbre, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast       estimate   SE   df t.ratio p.value
 rapide - moyen   0.1037 0.01 7131  10.369  <.0001
 rapide - lent    0.0837 0.01 7131   8.366  <.0001
 moyen - lent    -0.0200 0.01 7131  -2.002  0.1117

Results are averaged over the levels of: Longueur, Timbre, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 3 estimates 

8.1.6.2 Timbre

if (file.exists(file = "emmF1Sub1Timbre.Rds")){
  emmF1Sub1Timbre <- readRDS("emmF1Sub1Timbre.Rds")
}else{
  emmF1Sub1Timbre <- emmeans(lm.mod.Optimal, specs = pairwise ~ Timbre)
  saveRDS(emmF1Sub1Timbre, "emmF1Sub1Timbre.Rds")
  emmF1Sub1Timbre <- readRDS("emmF1Sub1Timbre.Rds")
}
emmF1Sub1Timbre
$emmeans
 Timbre emmean     SE   df lower.CL upper.CL
 a       1.212 0.1660 11.8    0.850    1.573
 i      -0.740 0.0886 24.5   -0.923   -0.558
 u      -0.524 0.0993 20.1   -0.731   -0.317

Results are averaged over the levels of: Longueur, Debit, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast estimate     SE   df t.ratio p.value
 a - i       1.952 0.1480 19.9  13.165  <.0001
 a - u       1.736 0.1380 22.6  12.615  <.0001
 i - u      -0.217 0.0963 29.2  -2.249  0.0796

Results are averaged over the levels of: Longueur, Debit, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 3 estimates 

8.1.6.3 Longueur

if (file.exists(file = "emmF1Sub1Longueur.Rds")){
  emmF1Sub1Longueur <- readRDS("emmF1Sub1Longueur.Rds")
}else{
  emmF1Sub1Longueur <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur)
  saveRDS(emmF1Sub1Longueur, "emmF1Sub1Longueur.Rds")
  emmF1Sub1Longueur <- readRDS("emmF1Sub1Longueur.Rds")
}
emmF1Sub1Longueur
$emmeans
 Longueur  emmean    SE   df lower.CL upper.CL
 longue   -0.0626 0.104 14.2   -0.286    0.160
 courte    0.0277 0.104 14.2   -0.195    0.251

Results are averaged over the levels of: Timbre, Debit, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast        estimate     SE df t.ratio p.value
 longue - courte  -0.0903 0.0738 24  -1.223  0.2331

Results are averaged over the levels of: Timbre, Debit, Sex 
Degrees-of-freedom method: kenward-roger 

8.1.6.4 Longueur x Timbre

if (file.exists(file = "emmF1Sub1LongueurTimbre.Rds")){
  emmF1Sub1LongueurTimbre <- readRDS("emmF1Sub1LongueurTimbre.Rds")
}else{
  emmF1Sub1LongueurTimbre <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Timbre)
  saveRDS(emmF1Sub1LongueurTimbre, "emmF1Sub1LongueurTimbre.Rds")
  emmF1Sub1LongueurTimbre <- readRDS("emmF1Sub1LongueurTimbre.Rds")
}
emmF1Sub1LongueurTimbre
$emmeans
 Longueur Timbre emmean    SE   df lower.CL upper.CL
 longue   a       1.692 0.178 15.2    1.314   2.0703
 courte   a       0.731 0.178 15.2    0.353   1.1095
 longue   i      -1.098 0.109 31.0   -1.321  -0.8749
 courte   i      -0.383 0.109 31.0   -0.606  -0.1600
 longue   u      -0.782 0.118 28.1   -1.024  -0.5403
 courte   u      -0.265 0.118 28.1   -0.507  -0.0235

Results are averaged over the levels of: Debit, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast            estimate    SE   df t.ratio p.value
 longue a - courte a    0.961 0.128 24.0   7.517  <.0001
 longue a - longue i    2.790 0.174 27.9  16.066  <.0001
 longue a - courte i    2.075 0.174 27.9  11.949  <.0001
 longue a - longue u    2.474 0.165 30.3  15.031  <.0001
 longue a - courte u    1.958 0.165 30.3  11.891  <.0001
 courte a - longue i    1.829 0.174 27.9  10.533  <.0001
 courte a - courte i    1.114 0.174 27.9   6.416  <.0001
 courte a - longue u    1.514 0.165 30.3   9.194  <.0001
 courte a - courte u    0.997 0.165 30.3   6.055  <.0001
 longue i - courte i   -0.715 0.128 24.0  -5.592  0.0001
 longue i - longue u   -0.316 0.132 26.9  -2.390  0.1954
 longue i - courte u   -0.832 0.132 26.9  -6.303  <.0001
 courte i - longue u    0.399 0.132 26.9   3.024  0.0547
 courte i - courte u   -0.118 0.132 26.9  -0.890  0.9457
 longue u - courte u   -0.517 0.128 24.0  -4.043  0.0056

Results are averaged over the levels of: Debit, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 6 estimates 

8.1.6.5 Longueur x Debit

if (file.exists(file = "emmF1Sub1LongueurDebit.Rds")){
  emmF1Sub1LongueurDebit <- readRDS("emmF1Sub1LongueurDebit.Rds")
}else{
  emmF1Sub1LongueurDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Debit)
  saveRDS(emmF1Sub1LongueurDebit, "emmF1Sub1LongueurDebit.Rds")
  emmF1Sub1LongueurDebit <- readRDS("emmF1Sub1LongueurDebit.Rds")
}
emmF1Sub1LongueurDebit
$emmeans
 Longueur Debit    emmean    SE   df lower.CL upper.CL
 longue   rapide  0.03318 0.104 14.4   -0.190    0.257
 courte   rapide  0.05687 0.104 14.4   -0.167    0.280
 longue   moyen  -0.11233 0.104 14.4   -0.336    0.111
 courte   moyen  -0.00509 0.104 14.4   -0.228    0.218
 longue   lent   -0.10865 0.104 14.4   -0.332    0.115
 courte   lent    0.03129 0.104 14.4   -0.192    0.255

Results are averaged over the levels of: Timbre, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast                      estimate     SE     df t.ratio p.value
 longue rapide - courte rapide -0.02369 0.0747   25.2  -0.317  0.9995
 longue rapide - longue moyen   0.14551 0.0141 7131.0  10.284  <.0001
 longue rapide - courte moyen   0.03827 0.0747   25.2   0.512  0.9952
 longue rapide - longue lent    0.14182 0.0141 7131.0  10.024  <.0001
 longue rapide - courte lent    0.00189 0.0747   25.2   0.025  1.0000
 courte rapide - longue moyen   0.16920 0.0747   25.2   2.265  0.2450
 courte rapide - courte moyen   0.06196 0.0141 7131.0   4.379  0.0002
 courte rapide - longue lent    0.16552 0.0747   25.2   2.216  0.2657
 courte rapide - courte lent    0.02558 0.0141 7131.0   1.808  0.4604
 longue moyen - courte moyen   -0.10724 0.0747   25.2  -1.436  0.7059
 longue moyen - longue lent    -0.00369 0.0141 7131.0  -0.261  0.9998
 longue moyen - courte lent    -0.14362 0.0747   25.2  -1.923  0.4123
 courte moyen - longue lent     0.10355 0.0747   25.2   1.386  0.7346
 courte moyen - courte lent    -0.03638 0.0141 7131.0  -2.571  0.1045
 longue lent - courte lent     -0.13993 0.0747   25.2  -1.873  0.4404

Results are averaged over the levels of: Timbre, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 6 estimates 

8.1.6.6 Timbre x Debit

if (file.exists(file = "emmF1Sub1TimbreDebit.Rds")){
  emmF1Sub1TimbreDebit <- readRDS("emmF1Sub1TimbreDebit.Rds")
}else{
  emmF1Sub1TimbreDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Timbre:Debit)
  saveRDS(emmF1Sub1TimbreDebit, "emmF1Sub1TimbreDebit.Rds")
  emmF1Sub1TimbreDebit <- readRDS("emmF1Sub1TimbreDebit.Rds")
}
emmF1Sub1TimbreDebit
$emmeans
 Timbre Debit  emmean     SE   df lower.CL upper.CL
 a      rapide  1.171 0.1660 11.9    0.809    1.532
 i      rapide -0.621 0.0892 25.2   -0.804   -0.437
 u      rapide -0.415 0.0998 20.5   -0.623   -0.207
 a      moyen   1.194 0.1660 11.9    0.832    1.556
 i      moyen  -0.793 0.0892 25.2   -0.977   -0.609
 u      moyen  -0.577 0.0998 20.5   -0.785   -0.369
 a      lent    1.271 0.1660 11.9    0.909    1.632
 i      lent   -0.807 0.0892 25.2   -0.991   -0.624
 u      lent   -0.579 0.0998 20.5   -0.787   -0.372

Results are averaged over the levels of: Longueur, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast            estimate     SE     df t.ratio p.value
 a rapide - i rapide  1.79132 0.1490   20.3  12.026  <.0001
 a rapide - u rapide  1.58525 0.1380   23.0  11.462  <.0001
 a rapide - a moyen  -0.02352 0.0173 7131.0  -1.358  0.9135
 a rapide - i moyen   1.96363 0.1490   20.3  13.183  <.0001
 a rapide - u moyen   1.74768 0.1380   23.0  12.636  <.0001
 a rapide - a lent   -0.10004 0.0173 7131.0  -5.773  <.0001
 a rapide - i lent    1.97768 0.1490   20.3  13.277  <.0001
 a rapide - u lent    1.75005 0.1380   23.0  12.653  <.0001
 i rapide - u rapide -0.20607 0.0973   30.5  -2.118  0.4807
 i rapide - a moyen  -1.81485 0.1490   20.3 -12.184  <.0001
 i rapide - i moyen   0.17231 0.0173 7131.0   9.943  <.0001
 i rapide - u moyen  -0.04364 0.0973   30.5  -0.448  0.9999
 i rapide - a lent   -1.89136 0.1490   20.3 -12.698  <.0001
 i rapide - i lent    0.18636 0.0173 7131.0  10.754  <.0001
 i rapide - u lent   -0.04128 0.0973   30.5  -0.424  1.0000
 u rapide - a moyen  -1.60878 0.1380   23.0 -11.632  <.0001
 u rapide - i moyen   0.37838 0.0973   30.5   3.888  0.0130
 u rapide - u moyen   0.16243 0.0173 7131.0   9.374  <.0001
 u rapide - a lent   -1.68529 0.1380   23.0 -12.185  <.0001
 u rapide - i lent    0.39243 0.0973   30.5   4.033  0.0090
 u rapide - u lent    0.16479 0.0173 7131.0   9.510  <.0001
 a moyen - i moyen    1.98715 0.1490   20.3  13.341  <.0001
 a moyen - u moyen    1.77121 0.1380   23.0  12.806  <.0001
 a moyen - a lent    -0.07651 0.0173 7131.0  -4.415  0.0003
 a moyen - i lent     2.00120 0.1490   20.3  13.435  <.0001
 a moyen - u lent     1.77357 0.1380   23.0  12.823  <.0001
 i moyen - u moyen   -0.21595 0.0973   30.5  -2.219  0.4192
 i moyen - a lent    -2.06367 0.1490   20.3 -13.855  <.0001
 i moyen - i lent     0.01405 0.0173 7131.0   0.811  0.9966
 i moyen - u lent    -0.21358 0.0973   30.5  -2.195  0.4336
 u moyen - a lent    -1.84772 0.1380   23.0 -13.360  <.0001
 u moyen - i lent     0.23000 0.0973   30.5   2.363  0.3385
 u moyen - u lent     0.00236 0.0173 7131.0   0.136  1.0000
 a lent - i lent      2.07772 0.1490   20.3  13.949  <.0001
 a lent - u lent      1.85009 0.1380   23.0  13.377  <.0001
 i lent - u lent     -0.22763 0.0973   30.5  -2.339  0.3514

Results are averaged over the levels of: Longueur, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 9 estimates 

8.1.6.7 Longueur x Timbre x Debit

if (file.exists(file = "emmF1Sub1LongueurTimbreDebit.Rds")){
  emmF1Sub1LongueurTimbreDebit <- readRDS("emmF1Sub1LongueurTimbreDebit.Rds")
}else{
  emmF1Sub1LongueurTimbreDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Timbre:Debit)
  saveRDS(emmF1Sub1LongueurTimbreDebit, "emmF1Sub1LongueurTimbreDebit.Rds")
  emmF1Sub1LongueurTimbreDebit <- readRDS("emmF1Sub1LongueurTimbreDebit.Rds")
}
emmF1Sub1LongueurTimbreDebit
$emmeans
 Longueur Timbre Debit  emmean    SE   df lower.CL upper.CL
 longue   a      rapide  1.646 0.178 15.3    1.267   2.0249
 courte   a      rapide  0.695 0.178 15.3    0.316   1.0741
 longue   i      rapide -0.942 0.110 32.0   -1.167  -0.7179
 courte   i      rapide -0.299 0.110 32.0   -0.524  -0.0748
 longue   u      rapide -0.604 0.119 28.9   -0.847  -0.3608
 courte   u      rapide -0.225 0.119 28.9   -0.469   0.0180
 longue   a      moyen   1.667 0.178 15.3    1.288   2.0464
 courte   a      moyen   0.721 0.178 15.3    0.342   1.0997
 longue   i      moyen  -1.157 0.110 32.0   -1.381  -0.9322
 courte   i      moyen  -0.430 0.110 32.0   -0.654  -0.2051
 longue   u      moyen  -0.848 0.119 28.9   -1.091  -0.6045
 courte   u      moyen  -0.307 0.119 28.9   -0.550  -0.0632
 longue   a      lent    1.763 0.178 15.3    1.384   2.1421
 courte   a      lent    0.778 0.178 15.3    0.399   1.1570
 longue   i      lent   -1.194 0.110 32.0   -1.419  -0.9699
 courte   i      lent   -0.420 0.110 32.0   -0.644  -0.1955
 longue   u      lent   -0.895 0.119 28.9   -1.138  -0.6514
 courte   u      lent   -0.264 0.119 28.9   -0.508  -0.0209

Results are averaged over the levels of: Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast                          estimate     SE     df t.ratio p.value
 longue a rapide - courte a rapide  0.95074 0.1290   25.2   7.348  <.0001
 longue a rapide - longue i rapide  2.58823 0.1750   28.6  14.806  <.0001
 longue a rapide - courte i rapide  1.94516 0.1750   28.6  11.128  <.0001
 longue a rapide - longue u rapide  2.25000 0.1660   31.2  13.568  <.0001
 longue a rapide - courte u rapide  1.87125 0.1660   31.2  11.284  <.0001
 longue a rapide - longue a moyen  -0.02148 0.0245 7131.0  -0.877  1.0000
 longue a rapide - courte a moyen   0.92518 0.1290   25.2   7.151  <.0001
 longue a rapide - longue i moyen   2.80256 0.1750   28.6  16.033  <.0001
 longue a rapide - courte i moyen   2.07544 0.1750   28.6  11.873  <.0001
 longue a rapide - longue u moyen   2.49369 0.1660   31.2  15.038  <.0001
 longue a rapide - courte u moyen   1.95242 0.1660   31.2  11.774  <.0001
 longue a rapide - longue a lent   -0.11724 0.0245 7131.0  -4.784  0.0003
 longue a rapide - courte a lent    0.86790 0.1290   25.2   6.708  0.0001
 longue a rapide - longue i lent    2.84028 0.1750   28.6  16.248  <.0001
 longue a rapide - courte i lent    2.06583 0.1750   28.6  11.818  <.0001
 longue a rapide - longue u lent    2.54066 0.1660   31.2  15.321  <.0001
 longue a rapide - courte u lent    1.91018 0.1660   31.2  11.519  <.0001
 courte a rapide - longue i rapide  1.63748 0.1750   28.6   9.368  <.0001
 courte a rapide - courte i rapide  0.99442 0.1750   28.6   5.689  0.0004
 courte a rapide - longue u rapide  1.29926 0.1660   31.2   7.835  <.0001
 courte a rapide - courte u rapide  0.92050 0.1660   31.2   5.551  0.0005
 courte a rapide - longue a moyen  -0.97222 0.1290   25.2  -7.514  <.0001
 courte a rapide - courte a moyen  -0.02557 0.0245 7131.0  -1.043  0.9999
 courte a rapide - longue i moyen   1.85182 0.1750   28.6  10.594  <.0001
 courte a rapide - courte i moyen   1.12470 0.1750   28.6   6.434  0.0001
 courte a rapide - longue u moyen   1.54294 0.1660   31.2   9.304  <.0001
 courte a rapide - courte u moyen   1.00168 0.1660   31.2   6.040  0.0001
 courte a rapide - longue a lent   -1.06798 0.1290   25.2  -8.254  <.0001
 courte a rapide - courte a lent   -0.08284 0.0245 7131.0  -3.380  0.0705
 courte a rapide - longue i lent    1.88953 0.1750   28.6  10.809  <.0001
 courte a rapide - courte i lent    1.11508 0.1750   28.6   6.379  0.0001
 courte a rapide - longue u lent    1.58992 0.1660   31.2   9.588  <.0001
 courte a rapide - courte u lent    0.95943 0.1660   31.2   5.786  0.0003
 longue i rapide - courte i rapide -0.64306 0.1290   25.2  -4.970  0.0038
 longue i rapide - longue u rapide -0.33822 0.1340   28.2  -2.532  0.5272
 longue i rapide - courte u rapide -0.71698 0.1340   28.2  -5.368  0.0011
 longue i rapide - longue a moyen  -2.60971 0.1750   28.6 -14.929  <.0001
 longue i rapide - courte a moyen  -1.66305 0.1750   28.6  -9.514  <.0001
 longue i rapide - longue i moyen   0.21433 0.0245 7131.0   8.746  <.0001
 longue i rapide - courte i moyen  -0.51279 0.1290   25.2  -3.963  0.0403
 longue i rapide - longue u moyen  -0.09454 0.1340   28.2  -0.708  1.0000
 longue i rapide - courte u moyen  -0.63580 0.1340   28.2  -4.760  0.0052
 longue i rapide - longue a lent   -2.70547 0.1750   28.6 -15.477  <.0001
 longue i rapide - courte a lent   -1.72032 0.1750   28.6  -9.841  <.0001
 longue i rapide - longue i lent    0.25205 0.0245 7131.0  10.285  <.0001
 longue i rapide - courte i lent   -0.52240 0.1290   25.2  -4.038  0.0342
 longue i rapide - longue u lent   -0.04757 0.1340   28.2  -0.356  1.0000
 longue i rapide - courte u lent   -0.67805 0.1340   28.2  -5.076  0.0023
 courte i rapide - longue u rapide  0.30484 0.1340   28.2   2.282  0.6882
 courte i rapide - courte u rapide -0.07392 0.1340   28.2  -0.553  1.0000
 courte i rapide - longue a moyen  -1.96664 0.1750   28.6 -11.251  <.0001
 courte i rapide - courte a moyen  -1.01999 0.1750   28.6  -5.835  0.0003
 courte i rapide - longue i moyen   0.85740 0.1290   25.2   6.627  0.0001
 courte i rapide - courte i moyen   0.13028 0.0245 7131.0   5.316  <.0001
 courte i rapide - longue u moyen   0.54852 0.1340   28.2   4.107  0.0259
 courte i rapide - courte u moyen   0.00726 0.1340   28.2   0.054  1.0000
 courte i rapide - longue a lent   -2.06240 0.1750   28.6 -11.798  <.0001
 courte i rapide - courte a lent   -1.07726 0.1750   28.6  -6.163  0.0001
 courte i rapide - longue i lent    0.89511 0.1290   25.2   6.918  <.0001
 courte i rapide - courte i lent    0.12066 0.0245 7131.0   4.924  0.0001
 courte i rapide - longue u lent    0.59550 0.1340   28.2   4.458  0.0110
 courte i rapide - courte u lent   -0.03499 0.1340   28.2  -0.262  1.0000
 longue u rapide - courte u rapide -0.37876 0.1290   25.2  -2.927  0.3043
 longue u rapide - longue a moyen  -2.27149 0.1660   31.2 -13.698  <.0001
 longue u rapide - courte a moyen  -1.32483 0.1660   31.2  -7.989  <.0001
 longue u rapide - longue i moyen   0.55255 0.1340   28.2   4.137  0.0241
 longue u rapide - courte i moyen  -0.17456 0.1340   28.2  -1.307  0.9958
 longue u rapide - longue u moyen   0.24368 0.0245 7131.0   9.944  <.0001
 longue u rapide - courte u moyen  -0.29758 0.1290   25.2  -2.300  0.6766
 longue u rapide - longue a lent   -2.36724 0.1660   31.2 -14.275  <.0001
 longue u rapide - courte a lent   -1.38210 0.1660   31.2  -8.335  <.0001
 longue u rapide - longue i lent    0.59027 0.1340   28.2   4.419  0.0122
 longue u rapide - courte i lent   -0.18418 0.1340   28.2  -1.379  0.9927
 longue u rapide - longue u lent    0.29066 0.0245 7131.0  11.860  <.0001
 longue u rapide - courte u lent   -0.33983 0.1290   25.2  -2.626  0.4706
 courte u rapide - longue a moyen  -1.89273 0.1660   31.2 -11.414  <.0001
 courte u rapide - courte a moyen  -0.94607 0.1660   31.2  -5.705  0.0003
 courte u rapide - longue i moyen   0.93131 0.1340   28.2   6.973  <.0001
 courte u rapide - courte i moyen   0.20420 0.1340   28.2   1.529  0.9802
 courte u rapide - longue u moyen   0.62244 0.1290   25.2   4.811  0.0056
 courte u rapide - courte u moyen   0.08118 0.0245 7131.0   3.313  0.0864
 courte u rapide - longue a lent   -1.98848 0.1660   31.2 -11.991  <.0001
 courte u rapide - courte a lent   -1.00334 0.1660   31.2  -6.050  0.0001
 courte u rapide - longue i lent    0.96903 0.1340   28.2   7.255  <.0001
 courte u rapide - courte i lent    0.19458 0.1340   28.2   1.457  0.9874
 courte u rapide - longue u lent    0.66942 0.1290   25.2   5.174  0.0023
 courte u rapide - courte u lent    0.03893 0.0245 7131.0   1.589  0.9831
 longue a moyen - courte a moyen    0.94666 0.1290   25.2   7.317  <.0001
 longue a moyen - longue i moyen    2.82404 0.1750   28.6  16.155  <.0001
 longue a moyen - courte i moyen    2.09692 0.1750   28.6  11.996  <.0001
 longue a moyen - longue u moyen    2.51517 0.1660   31.2  15.167  <.0001
 longue a moyen - courte u moyen    1.97391 0.1660   31.2  11.903  <.0001
 longue a moyen - longue a lent    -0.09576 0.0245 7131.0  -3.907  0.0115
 longue a moyen - courte a lent     0.88939 0.1290   25.2   6.874  <.0001
 longue a moyen - longue i lent     2.86176 0.1750   28.6  16.371  <.0001
 longue a moyen - courte i lent     2.08731 0.1750   28.6  11.941  <.0001
 longue a moyen - longue u lent     2.56214 0.1660   31.2  15.451  <.0001
 longue a moyen - courte u lent     1.93166 0.1660   31.2  11.649  <.0001
 courte a moyen - longue i moyen    1.87738 0.1750   28.6  10.740  <.0001
 courte a moyen - courte i moyen    1.15027 0.1750   28.6   6.580  <.0001
 courte a moyen - longue u moyen    1.56851 0.1660   31.2   9.459  <.0001
 courte a moyen - courte u moyen    1.02725 0.1660   31.2   6.195  0.0001
 courte a moyen - longue a lent    -1.04241 0.1290   25.2  -8.057  <.0001
 courte a moyen - courte a lent    -0.05727 0.0245 7131.0  -2.337  0.6560
 courte a moyen - longue i lent     1.91510 0.1750   28.6  10.956  <.0001
 courte a moyen - courte i lent     1.14065 0.1750   28.6   6.525  <.0001
 courte a moyen - longue u lent     1.61549 0.1660   31.2   9.742  <.0001
 courte a moyen - courte u lent     0.98500 0.1660   31.2   5.940  0.0002
 longue i moyen - courte i moyen   -0.72712 0.1290   25.2  -5.620  0.0008
 longue i moyen - longue u moyen   -0.30887 0.1340   28.2  -2.312  0.6692
 longue i moyen - courte u moyen   -0.85013 0.1340   28.2  -6.365  0.0001
 longue i moyen - longue a lent    -2.91980 0.1750   28.6 -16.703  <.0001
 longue i moyen - courte a lent    -1.93465 0.1750   28.6 -11.068  <.0001
 longue i moyen - longue i lent     0.03772 0.0245 7131.0   1.539  0.9878
 longue i moyen - courte i lent    -0.73673 0.1290   25.2  -5.694  0.0007
 longue i moyen - longue u lent    -0.26190 0.1340   28.2  -1.961  0.8639
 longue i moyen - courte u lent    -0.89238 0.1340   28.2  -6.681  <.0001
 courte i moyen - longue u moyen    0.41824 0.1340   28.2   3.131  0.2094
 courte i moyen - courte u moyen   -0.12302 0.1340   28.2  -0.921  0.9999
 courte i moyen - longue a lent    -2.19268 0.1750   28.6 -12.544  <.0001
 courte i moyen - courte a lent    -1.20754 0.1750   28.6  -6.908  <.0001
 courte i moyen - longue i lent     0.76483 0.1290   25.2   5.911  0.0004
 courte i moyen - courte i lent    -0.00962 0.0245 7131.0  -0.392  1.0000
 courte i moyen - longue u lent     0.46522 0.1340   28.2   3.483  0.1051
 courte i moyen - courte u lent    -0.16527 0.1340   28.2  -1.237  0.9977
 longue u moyen - courte u moyen   -0.54126 0.1290   25.2  -4.183  0.0246
 longue u moyen - longue a lent    -2.61092 0.1660   31.2 -15.745  <.0001
 longue u moyen - courte a lent    -1.62578 0.1660   31.2  -9.804  <.0001
 longue u moyen - longue i lent     0.34659 0.1340   28.2   2.595  0.4873
 longue u moyen - courte i lent    -0.42786 0.1340   28.2  -3.203  0.1832
 longue u moyen - longue u lent     0.04698 0.0245 7131.0   1.917  0.9058
 longue u moyen - courte u lent    -0.58351 0.1290   25.2  -4.510  0.0115
 courte u moyen - longue a lent    -2.06966 0.1660   31.2 -12.481  <.0001
 courte u moyen - courte a lent    -1.08452 0.1660   31.2  -6.540  <.0001
 courte u moyen - longue i lent     0.88785 0.1340   28.2   6.647  <.0001
 courte u moyen - courte i lent     0.11340 0.1340   28.2   0.849  1.0000
 courte u moyen - longue u lent     0.58824 0.1290   25.2   4.546  0.0106
 courte u moyen - courte u lent    -0.04225 0.0245 7131.0  -1.724  0.9623
 longue a lent - courte a lent      0.98514 0.1290   25.2   7.614  <.0001
 longue a lent - longue i lent      2.95751 0.1750   28.6  16.919  <.0001
 longue a lent - courte i lent      2.18306 0.1750   28.6  12.489  <.0001
 longue a lent - longue u lent      2.65790 0.1660   31.2  16.028  <.0001
 longue a lent - courte u lent      2.02741 0.1660   31.2  12.226  <.0001
 courte a lent - longue i lent      1.97237 0.1750   28.6  11.283  <.0001
 courte a lent - courte i lent      1.19792 0.1750   28.6   6.853  <.0001
 courte a lent - longue u lent      1.67276 0.1660   31.2  10.087  <.0001
 courte a lent - courte u lent      1.04227 0.1660   31.2   6.285  0.0001
 longue i lent - courte i lent     -0.77445 0.1290   25.2  -5.986  0.0003
 longue i lent - longue u lent     -0.29961 0.1340   28.2  -2.243  0.7124
 longue i lent - courte u lent     -0.93010 0.1340   28.2  -6.963  <.0001
 courte i lent - longue u lent      0.47484 0.1340   28.2   3.555  0.0903
 courte i lent - courte u lent     -0.15565 0.1340   28.2  -1.165  0.9988
 longue u lent - courte u lent     -0.63049 0.1290   25.2  -4.873  0.0048

Results are averaged over the levels of: Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 18 estimates 

9 F2midnor - Subset 1 - Timbre

9.1 Optimal model

9.1.1 Read Rds

lm.mod.Optimal <- readRDS("lm.mod.Optimal.F2midnorTimbreSub.Rds")

9.1.2 Summary

summary(lm.mod.Optimal)
Linear mixed model fit by REML. t-tests use Satterthwaite's method ['lmerModLmerTest']
Formula: F2midnor ~ Longueur * Timbre * Debit + Sex + (Timbre | Speaker) +      (1 | Word)
   Data: ArabicSub1
Control: lmerControl(optimizer = "bobyqa", optCtrl = list(maxfun = 2e+05))

REML criterion at convergence: -2337.2

Scaled residuals: 
    Min      1Q  Median      3Q     Max 
-6.7129 -0.6228  0.0034  0.6087  4.5787 

Random effects:
 Groups   Name        Variance Std.Dev. Corr       
 Word     (Intercept) 0.03857  0.1964              
 Speaker  (Intercept) 0.03775  0.1943              
          Timbrei     0.01416  0.1190    0.15      
          Timbreu     0.06184  0.2487   -0.89 -0.36
 Residual             0.04018  0.2004              
Number of obs: 7200, groups:  Word, 30; Speaker, 10

Fixed effects:
                                    Estimate Std. Error         df t value Pr(>|t|)    
(Intercept)                          0.24555    0.11080   32.87331   2.216  0.03371 *  
Longueurcourte                       0.19950    0.12501   24.41669   1.596  0.12339    
Timbrei                              1.39628    0.13055   28.37865  10.695 1.82e-11 ***
Timbreu                             -0.96858    0.14769   33.27485  -6.558 1.81e-07 ***
Debitmoyen                          -0.03477    0.01417 7130.99998  -2.453  0.01419 *  
Debitlent                           -0.07361    0.01417 7130.99997  -5.193 2.12e-07 ***
Sexm                                -0.62125    0.05244    8.00002 -11.846 2.37e-06 ***
Longueurcourte:Timbrei              -0.87024    0.17680   24.41669  -4.922 4.84e-05 ***
Longueurcourte:Timbreu               0.21232    0.17680   24.41669   1.201  0.24130    
Longueurcourte:Debitmoyen            0.02123    0.02004 7130.99998   1.059  0.28953    
Longueurcourte:Debitlent             0.05525    0.02004 7130.99997   2.756  0.00586 ** 
Timbrei:Debitmoyen                   0.11517    0.02004 7130.99998   5.746 9.53e-09 ***
Timbreu:Debitmoyen                  -0.18024    0.02004 7130.99998  -8.992  < 2e-16 ***
Timbrei:Debitlent                    0.25865    0.02004 7130.99997  12.904  < 2e-16 ***
Timbreu:Debitlent                   -0.30407    0.02004 7130.99998 -15.170  < 2e-16 ***
Longueurcourte:Timbrei:Debitmoyen   -0.05901    0.02835 7130.99997  -2.082  0.03740 *  
Longueurcourte:Timbreu:Debitmoyen    0.08927    0.02835 7130.99998   3.149  0.00164 ** 
Longueurcourte:Timbrei:Debitlent    -0.13820    0.02835 7130.99997  -4.875 1.11e-06 ***
Longueurcourte:Timbreu:Debitlent     0.16391    0.02835 7130.99998   5.782 7.69e-09 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Correlation matrix not shown by default, as p = 19 > 12.
Use print(x, correlation=TRUE)  or
    vcov(x)        if you need it

9.1.3 Anova

print(anova(lm.mod.Optimal))
Type III Analysis of Variance Table with Satterthwaite's method
                      Sum Sq Mean Sq NumDF  DenDF  F value    Pr(>F)    
Longueur               0.001  0.0011     1   24.0   0.0274    0.8698    
Timbre                10.104  5.0521     2   31.6 125.7432 8.878e-16 ***
Debit                  4.122  2.0611     2 7131.0  51.2983 < 2.2e-16 ***
Sex                    5.638  5.6382     1    8.0 140.3295 2.365e-06 ***
Longueur:Timbre        2.147  1.0734     2   24.0  26.7153 7.863e-07 ***
Longueur:Debit         1.222  0.6109     2 7131.0  15.2059 2.572e-07 ***
Timbre:Debit          34.129  8.5322     4 7131.0 212.3608 < 2.2e-16 ***
Longueur:Timbre:Debit  4.582  1.1454     4 7131.0  28.5084 < 2.2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

9.1.4 Model’s fit

tab_model(lm.mod.Optimal,file="test.html")
htmltools::includeHTML("test.html")
  F2midnor
Predictors Estimates CI p
(Intercept) 0.25 0.03 – 0.46 0.027
Longueur [courte] 0.20 -0.05 – 0.44 0.111
Timbre [i] 1.40 1.14 – 1.65 <0.001
Timbre [u] -0.97 -1.26 – -0.68 <0.001
Debit [moyen] -0.03 -0.06 – -0.01 0.014
Debit [lent] -0.07 -0.10 – -0.05 <0.001
Sex [m] -0.62 -0.72 – -0.52 <0.001
Longueur [courte] ×
Timbre [i]
-0.87 -1.22 – -0.52 <0.001
Longueur [courte] ×
Timbre [u]
0.21 -0.13 – 0.56 0.230
Longueur [courte] × Debit
[moyen]
0.02 -0.02 – 0.06 0.290
Longueur [courte] × Debit
[lent]
0.06 0.02 – 0.09 0.006
Timbre [i] × Debit
[moyen]
0.12 0.08 – 0.15 <0.001
Timbre [u] × Debit
[moyen]
-0.18 -0.22 – -0.14 <0.001
Timbre [i] × Debit [lent] 0.26 0.22 – 0.30 <0.001
Timbre [u] × Debit [lent] -0.30 -0.34 – -0.26 <0.001
(Longueur [courte] ×
Timbre [i]) × Debit
[moyen]
-0.06 -0.11 – -0.00 0.037
(Longueur [courte] ×
Timbre [u]) × Debit
[moyen]
0.09 0.03 – 0.14 0.002
(Longueur [courte] ×
Timbre [i]) × Debit
[lent]
-0.14 -0.19 – -0.08 <0.001
(Longueur [courte] ×
Timbre [u]) × Debit
[lent]
0.16 0.11 – 0.22 <0.001
Random Effects
σ2 0.04
τ00 Word 0.04
τ00 Speaker 0.04
τ11 Speaker.Timbrei 0.01
τ11 Speaker.Timbreu 0.06
ρ01 Speaker.Timbrei 0.15
ρ01 Speaker.Timbreu -0.89
ICC 0.65
N Speaker 10
N Word 30
Observations 7200
Marginal R2 / Conditional R2 0.882 / 0.959

9.1.5 Evaluating Model’s assumptions - normality of residuals

qqnorm(residuals(lm.mod.Optimal))
qqline(residuals(lm.mod.Optimal))

9.1.6 Pairwise Comparison

9.1.6.1 Debit

if (file.exists(file = "emmF2Sub1Debit.Rds")){
  emmF2Sub1Debit <- readRDS("emmF2Sub1Debit.Rds")
}else{
  emmF2Sub1Debit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit)
  saveRDS(emmF2Sub1Debit, "emmF2Sub1Debit.Rds")
  emmF2Sub1Debit <- readRDS("emmF2Sub1Debit.Rds")
}
emmF2Sub1Debit
$emmeans
 Debit  emmean     SE   df lower.CL upper.CL
 rapide 0.0676 0.0553 21.2  -0.0474    0.183
 moyen  0.0268 0.0553 21.2  -0.0882    0.142
 lent   0.0107 0.0553 21.2  -0.1042    0.126

Results are averaged over the levels of: Longueur, Timbre, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast       estimate      SE   df t.ratio p.value
 rapide - moyen   0.0408 0.00579 7131   7.051  <.0001
 rapide - lent    0.0568 0.00579 7131   9.823  <.0001
 moyen - lent     0.0160 0.00579 7131   2.772  0.0154

Results are averaged over the levels of: Longueur, Timbre, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 3 estimates 

9.1.6.2 Timbre

if (file.exists(file = "emmF2Sub1Timbre.Rds")){
  emmF2Sub1Timbre <- readRDS("emmF2Sub1Timbre.Rds")
}else{
  emmF2Sub1Timbre <- emmeans(lm.mod.Optimal, specs = pairwise ~ Timbre)
  saveRDS(emmF2Sub1Timbre, "emmF2Sub1Timbre.Rds")
  emmF2Sub1Timbre <- readRDS("emmF2Sub1Timbre.Rds")
}
emmF2Sub1Timbre
$emmeans
 Timbre  emmean     SE   df lower.CL upper.CL
 a       0.0113 0.0875 25.6   -0.169    0.191
 i       1.0642 0.0989 20.7    0.858    1.270
 u      -0.9704 0.0724 32.0   -1.118   -0.823

Results are averaged over the levels of: Longueur, Debit, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast estimate     SE   df t.ratio p.value
 a - i      -1.053 0.0957 30.7 -10.999  <.0001
 a - u       0.982 0.1180 28.6   8.317  <.0001
 i - u       2.035 0.1320 23.4  15.400  <.0001

Results are averaged over the levels of: Longueur, Debit, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 3 estimates 

9.1.6.3 Longueur

if (file.exists(file = "emmF2Sub1Longueur.Rds")){
  emmF2Sub1Longueur <- readRDS("emmF2Sub1Longueur.Rds")
}else{
  emmF2Sub1Longueur <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur)
  saveRDS(emmF2Sub1Longueur, "emmF2Sub1Longueur.Rds")
  emmF2Sub1Longueur <- readRDS("emmF2Sub1Longueur.Rds")
}
emmF2Sub1Longueur
$emmeans
 Longueur emmean     SE df lower.CL upper.CL
 longue   0.0291 0.0659 29  -0.1057    0.164
 courte   0.0410 0.0659 29  -0.0938    0.176

Results are averaged over the levels of: Timbre, Debit, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast        estimate     SE df t.ratio p.value
 longue - courte  -0.0119 0.0719 24  -0.166  0.8698

Results are averaged over the levels of: Timbre, Debit, Sex 
Degrees-of-freedom method: kenward-roger 

9.1.6.4 Longueur x Timbre

if (file.exists(file = "emmF2Sub1LongueurTimbre.Rds")){
  emmF2Sub1LongueurTimbre <- readRDS("emmF2Sub1LongueurTimbre.Rds")
}else{
  emmF2Sub1LongueurTimbre <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Timbre)
  saveRDS(emmF2Sub1LongueurTimbre, "emmF2Sub1LongueurTimbre.Rds")
  emmF2Sub1LongueurTimbre <- readRDS("emmF2Sub1LongueurTimbre.Rds")
}
emmF2Sub1LongueurTimbre
$emmeans
 Longueur Timbre emmean     SE   df lower.CL upper.CL
 longue   a      -0.101 0.1070 31.9  -0.3199    0.117
 courte   a       0.124 0.1070 31.9  -0.0949    0.342
 longue   i       1.420 0.1170 28.7   1.1806    1.659
 courte   i       0.709 0.1170 28.7   0.4696    0.948
 longue   u      -1.231 0.0955 30.4  -1.4261   -1.036
 courte   u      -0.710 0.0955 30.4  -0.9044   -0.515

Results are averaged over the levels of: Debit, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast            estimate    SE   df t.ratio p.value
 longue a - courte a   -0.225 0.124 24.0  -1.808  0.4798
 longue a - longue i   -1.521 0.130 27.9 -11.696  <.0001
 longue a - courte i   -0.810 0.130 27.9  -6.228  <.0001
 longue a - longue u    1.130 0.147 32.9   7.675  <.0001
 longue a - courte u    0.608 0.147 32.9   4.132  0.0029
 courte a - longue i   -1.296 0.130 27.9  -9.965  <.0001
 courte a - courte i   -0.585 0.130 27.9  -4.498  0.0014
 courte a - longue u    1.355 0.147 32.9   9.203  <.0001
 courte a - courte u    0.833 0.147 32.9   5.660  <.0001
 longue i - courte i    0.711 0.124 24.0   5.712  0.0001
 longue i - longue u    2.651 0.159 30.9  16.698  <.0001
 longue i - courte u    2.129 0.159 30.9  13.412  <.0001
 courte i - longue u    1.940 0.159 30.9  12.220  <.0001
 courte i - courte u    1.418 0.159 30.9   8.934  <.0001
 longue u - courte u   -0.522 0.124 24.0  -4.191  0.0039

Results are averaged over the levels of: Debit, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 6 estimates 

9.1.6.5 Longueur x Debit

if (file.exists(file = "emmF2Sub1LongueurDebit.Rds")){
  emmF2Sub1LongueurDebit <- readRDS("emmF2Sub1LongueurDebit.Rds")
}else{
  emmF2Sub1LongueurDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Debit)
  saveRDS(emmF2Sub1LongueurDebit, "emmF2Sub1LongueurDebit.Rds")
  emmF2Sub1LongueurDebit <- readRDS("emmF2Sub1LongueurDebit.Rds")
}
emmF2Sub1LongueurDebit
$emmeans
 Longueur Debit   emmean     SE   df lower.CL upper.CL
 longue   rapide  0.0775 0.0661 29.3  -0.0576    0.213
 courte   rapide  0.0577 0.0661 29.3  -0.0774    0.193
 longue   moyen   0.0210 0.0661 29.3  -0.1140    0.156
 courte   moyen   0.0325 0.0661 29.3  -0.1025    0.168
 longue   lent   -0.0113 0.0661 29.3  -0.1463    0.124
 courte   lent    0.0328 0.0661 29.3  -0.1023    0.168

Results are averaged over the levels of: Timbre, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast                       estimate      SE     df t.ratio p.value
 longue rapide - courte rapide  0.019809 0.07220   24.4   0.274  0.9998
 longue rapide - longue moyen   0.056459 0.00818 7131.0   6.899  <.0001
 longue rapide - courte moyen   0.044949 0.07220   24.4   0.623  0.9882
 longue rapide - longue lent    0.088748 0.00818 7131.0  10.845  <.0001
 longue rapide - courte lent    0.044740 0.07220   24.4   0.620  0.9885
 courte rapide - longue moyen   0.036650 0.07220   24.4   0.508  0.9954
 courte rapide - courte moyen   0.025140 0.00818 7131.0   3.072  0.0260
 courte rapide - longue lent    0.068939 0.07220   24.4   0.955  0.9276
 courte rapide - courte lent    0.024932 0.00818 7131.0   3.047  0.0281
 longue moyen - courte moyen   -0.011510 0.07220   24.4  -0.159  1.0000
 longue moyen - longue lent     0.032289 0.00818 7131.0   3.946  0.0011
 longue moyen - courte lent    -0.011719 0.07220   24.4  -0.162  1.0000
 courte moyen - longue lent     0.043799 0.07220   24.4   0.607  0.9895
 courte moyen - courte lent    -0.000208 0.00818 7131.0  -0.025  1.0000
 longue lent - courte lent     -0.044007 0.07220   24.4  -0.610  0.9893

Results are averaged over the levels of: Timbre, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 6 estimates 

9.1.6.6 Timbre x Debit

if (file.exists(file = "emmF2Sub1TimbreDebit.Rds")){
  emmF2Sub1TimbreDebit <- readRDS("emmF2Sub1TimbreDebit.Rds")
}else{
  emmF2Sub1TimbreDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Timbre:Debit)
  saveRDS(emmF2Sub1TimbreDebit, "emmF2Sub1TimbreDebit.Rds")
  emmF2Sub1TimbreDebit <- readRDS("emmF2Sub1TimbreDebit.Rds")
}
emmF2Sub1TimbreDebit
$emmeans
 Timbre Debit   emmean     SE   df lower.CL upper.CL
 a      rapide  0.0347 0.0876 25.8   -0.146    0.215
 i      rapide  0.9958 0.0990 20.8    0.790    1.202
 u      rapide -0.8277 0.0726 32.4   -0.976   -0.680
 a      moyen   0.0105 0.0876 25.8   -0.170    0.191
 i      moyen   1.0573 0.0990 20.8    0.851    1.263
 u      moyen  -0.9875 0.0726 32.4   -1.135   -0.840
 a      lent   -0.0113 0.0876 25.8   -0.192    0.169
 i      lent    1.1394 0.0990 20.8    0.933    1.345
 u      lent   -1.0958 0.0726 32.4   -1.244   -0.948

Results are averaged over the levels of: Longueur, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast            estimate     SE     df t.ratio p.value
 a rapide - i rapide  -0.9612 0.0961   31.2 -10.005  <.0001
 a rapide - u rapide   0.8624 0.1180   28.8   7.289  <.0001
 a rapide - a moyen    0.0242 0.0100 7131.0   2.410  0.2784
 a rapide - i moyen   -1.0227 0.0961   31.2 -10.645  <.0001
 a rapide - u moyen    1.0222 0.1180   28.8   8.639  <.0001
 a rapide - a lent     0.0460 0.0100 7131.0   4.588  0.0002
 a rapide - i lent    -1.1047 0.0961   31.2 -11.499  <.0001
 a rapide - u lent     1.1305 0.1180   28.8   9.555  <.0001
 i rapide - u rapide   1.8236 0.1320   23.5  13.776  <.0001
 i rapide - a moyen    0.9853 0.0961   31.2  10.256  <.0001
 i rapide - i moyen   -0.0615 0.0100 7131.0  -6.137  <.0001
 i rapide - u moyen    1.9833 0.1320   23.5  14.983  <.0001
 i rapide - a lent     1.0071 0.0961   31.2  10.483  <.0001
 i rapide - i lent    -0.1436 0.0100 7131.0 -14.325  <.0001
 i rapide - u lent     2.0917 0.1320   23.5  15.802  <.0001
 u rapide - a moyen   -0.8383 0.1180   28.8  -7.085  <.0001
 u rapide - i moyen   -1.8851 0.1320   23.5 -14.241  <.0001
 u rapide - u moyen    0.1598 0.0100 7131.0  15.940  <.0001
 u rapide - a lent    -0.8164 0.1180   28.8  -6.901  <.0001
 u rapide - i lent    -1.9671 0.1320   23.5 -14.861  <.0001
 u rapide - u lent     0.2681 0.0100 7131.0  26.751  <.0001
 a moyen - i moyen    -1.0468 0.0961   31.2 -10.896  <.0001
 a moyen - u moyen     0.9980 0.1180   28.8   8.435  <.0001
 a moyen - a lent      0.0218 0.0100 7131.0   2.178  0.4201
 a moyen - i lent     -1.1289 0.0961   31.2 -11.750  <.0001
 a moyen - u lent      1.1064 0.1180   28.8   9.351  <.0001
 i moyen - u moyen     2.0448 0.1320   23.5  15.448  <.0001
 i moyen - a lent      1.0687 0.0961   31.2  11.123  <.0001
 i moyen - i lent     -0.0821 0.0100 7131.0  -8.187  <.0001
 i moyen - u lent      2.1532 0.1320   23.5  16.267  <.0001
 u moyen - a lent     -0.9762 0.1180   28.8  -8.251  <.0001
 u moyen - i lent     -2.1269 0.1320   23.5 -16.068  <.0001
 u moyen - u lent      0.1083 0.0100 7131.0  10.811  <.0001
 a lent - i lent      -1.1507 0.0961   31.2 -11.978  <.0001
 a lent - u lent       1.0845 0.1180   28.8   9.167  <.0001
 i lent - u lent       2.2352 0.1320   23.5  16.886  <.0001

Results are averaged over the levels of: Longueur, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 9 estimates 

9.1.6.7 Longueur x Timbre x Debit

if (file.exists(file = "emmF2Sub1LongueurTimbreDebit.Rds")){
  emmF2Sub1LongueurTimbreDebit <- readRDS("emmF2Sub1LongueurTimbreDebit.Rds")
}else{
  emmF2Sub1LongueurTimbreDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Timbre:Debit)
  saveRDS(emmF2Sub1LongueurTimbreDebit, "emmF2Sub1LongueurTimbreDebit.Rds")
  emmF2Sub1LongueurTimbreDebit <- readRDS("emmF2Sub1LongueurTimbreDebit.Rds")
}
emmF2Sub1LongueurTimbreDebit
$emmeans
 Longueur Timbre Debit   emmean     SE   df lower.CL upper.CL
 longue   a      rapide -0.0651 0.1080 32.2  -0.2843   0.1541
 courte   a      rapide  0.1344 0.1080 32.2  -0.0848   0.3536
 longue   i      rapide  1.3312 0.1170 28.9   1.0917   1.5707
 courte   i      rapide  0.6605 0.1170 28.9   0.4209   0.9000
 longue   u      rapide -1.0337 0.0958 30.8  -1.2291  -0.8382
 courte   u      rapide -0.6218 0.0958 30.8  -0.8173  -0.4264
 longue   a      moyen  -0.0998 0.1080 32.2  -0.3191   0.1194
 courte   a      moyen   0.1209 0.1080 32.2  -0.0983   0.3401
 longue   i      moyen   1.4116 0.1170 28.9   1.1721   1.6511
 courte   i      moyen   0.7031 0.1170 28.9   0.4635   0.9426
 longue   u      moyen  -1.2487 0.0958 30.8  -1.4441  -1.0532
 courte   u      moyen  -0.7263 0.0958 30.8  -0.9218  -0.5309
 longue   a      lent   -0.1387 0.1080 32.2  -0.3579   0.0805
 courte   a      lent    0.1161 0.1080 32.2  -0.1031   0.3353
 longue   i      lent    1.5162 0.1170 28.9   1.2767   1.7558
 courte   i      lent    0.7625 0.1170 28.9   0.5230   1.0021
 longue   u      lent   -1.4113 0.0958 30.8  -1.6068  -1.2158
 courte   u      lent   -0.7804 0.0958 30.8  -0.9758  -0.5849

Results are averaged over the levels of: Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast                          estimate     SE     df t.ratio p.value
 longue a rapide - courte a rapide -0.19950 0.1250   24.4  -1.596  0.9694
 longue a rapide - longue i rapide -1.39628 0.1310   28.4 -10.695  <.0001
 longue a rapide - courte i rapide -0.72553 0.1310   28.4  -5.557  0.0006
 longue a rapide - longue u rapide  0.96858 0.1480   33.3   6.558  <.0001
 longue a rapide - courte u rapide  0.55676 0.1480   33.3   3.770  0.0503
 longue a rapide - longue a moyen   0.03477 0.0142 7131.0   2.453  0.5668
 longue a rapide - courte a moyen  -0.18596 0.1250   24.4  -1.488  0.9836
 longue a rapide - longue i moyen  -1.47668 0.1310   28.4 -11.311  <.0001
 longue a rapide - courte i moyen  -0.76815 0.1310   28.4  -5.884  0.0003
 longue a rapide - longue u moyen   1.18358 0.1480   33.3   8.014  <.0001
 longue a rapide - courte u moyen   0.66126 0.1480   33.3   4.477  0.0083
 longue a rapide - longue a lent    0.07361 0.0142 7131.0   5.193  <.0001
 longue a rapide - courte a lent   -0.18114 0.1250   24.4  -1.449  0.9871
 longue a rapide - longue i lent   -1.58132 0.1310   28.4 -12.112  <.0001
 longue a rapide - courte i lent   -0.82762 0.1310   28.4  -6.339  0.0001
 longue a rapide - longue u lent    1.34625 0.1480   33.3   9.115  <.0001
 longue a rapide - courte u lent    0.71528 0.1480   33.3   4.843  0.0031
 courte a rapide - longue i rapide -1.19678 0.1310   28.4  -9.167  <.0001
 courte a rapide - courte i rapide -0.52603 0.1310   28.4  -4.029  0.0310
 courte a rapide - longue u rapide  1.16808 0.1480   33.3   7.909  <.0001
 courte a rapide - courte u rapide  0.75626 0.1480   33.3   5.121  0.0014
 courte a rapide - longue a moyen   0.23427 0.1250   24.4   1.874  0.8961
 courte a rapide - courte a moyen   0.01354 0.0142 7131.0   0.955  1.0000
 courte a rapide - longue i moyen  -1.27718 0.1310   28.4  -9.783  <.0001
 courte a rapide - courte i moyen  -0.56865 0.1310   28.4  -4.356  0.0141
 courte a rapide - longue u moyen   1.38308 0.1480   33.3   9.365  <.0001
 courte a rapide - courte u moyen   0.86076 0.1480   33.3   5.828  0.0002
 courte a rapide - longue a lent    0.27311 0.1250   24.4   2.185  0.7457
 courte a rapide - courte a lent    0.01836 0.0142 7131.0   1.295  0.9983
 courte a rapide - longue i lent   -1.38182 0.1310   28.4 -10.584  <.0001
 courte a rapide - courte i lent   -0.62812 0.1310   28.4  -4.811  0.0045
 courte a rapide - longue u lent    1.54575 0.1480   33.3  10.466  <.0001
 courte a rapide - courte u lent    0.91478 0.1480   33.3   6.194  0.0001
 longue i rapide - courte i rapide  0.67074 0.1250   24.4   5.365  0.0016
 longue i rapide - longue u rapide  2.36485 0.1590   31.2  14.857  <.0001
 longue i rapide - courte u rapide  1.95304 0.1590   31.2  12.270  <.0001
 longue i rapide - longue a moyen   1.43105 0.1310   28.4  10.961  <.0001
 longue i rapide - courte a moyen   1.21032 0.1310   28.4   9.271  <.0001
 longue i rapide - longue i moyen  -0.08040 0.0142 7131.0  -5.673  <.0001
 longue i rapide - courte i moyen   0.62812 0.1250   24.4   5.024  0.0036
 longue i rapide - longue u moyen   2.57986 0.1590   31.2  16.208  <.0001
 longue i rapide - courte u moyen   2.05754 0.1590   31.2  12.927  <.0001
 longue i rapide - longue a lent    1.46989 0.1310   28.4  11.259  <.0001
 longue i rapide - courte a lent    1.21514 0.1310   28.4   9.308  <.0001
 longue i rapide - longue i lent   -0.18504 0.0142 7131.0 -13.055  <.0001
 longue i rapide - courte i lent    0.56865 0.1250   24.4   4.549  0.0110
 longue i rapide - longue u lent    2.74253 0.1590   31.2  17.230  <.0001
 longue i rapide - courte u lent    2.11156 0.1590   31.2  13.266  <.0001
 courte i rapide - longue u rapide  1.69411 0.1590   31.2  10.643  <.0001
 courte i rapide - courte u rapide  1.28229 0.1590   31.2   8.056  <.0001
 courte i rapide - longue a moyen   0.76030 0.1310   28.4   5.824  0.0003
 courte i rapide - courte a moyen   0.53957 0.1310   28.4   4.133  0.0242
 courte i rapide - longue i moyen  -0.75114 0.1250   24.4  -6.009  0.0003
 courte i rapide - courte i moyen  -0.04262 0.0142 7131.0  -3.007  0.1967
 courte i rapide - longue u moyen   1.90912 0.1590   31.2  11.994  <.0001
 courte i rapide - courte u moyen   1.38679 0.1590   31.2   8.713  <.0001
 courte i rapide - longue a lent    0.79914 0.1310   28.4   6.121  0.0001
 courte i rapide - courte a lent    0.54439 0.1310   28.4   4.170  0.0222
 courte i rapide - longue i lent   -0.85579 0.1250   24.4  -6.846  <.0001
 courte i rapide - courte i lent   -0.10209 0.0142 7131.0  -7.203  <.0001
 courte i rapide - longue u lent    2.07179 0.1590   31.2  13.016  <.0001
 courte i rapide - courte u lent    1.44082 0.1590   31.2   9.052  <.0001
 longue u rapide - courte u rapide -0.41182 0.1250   24.4  -3.294  0.1625
 longue u rapide - longue a moyen  -0.93381 0.1480   33.3  -6.323  <.0001
 longue u rapide - courte a moyen  -1.15454 0.1480   33.3  -7.817  <.0001
 longue u rapide - longue i moyen  -2.44525 0.1590   31.2 -15.362  <.0001
 longue u rapide - courte i moyen  -1.73673 0.1590   31.2 -10.911  <.0001
 longue u rapide - longue u moyen   0.21501 0.0142 7131.0  15.170  <.0001
 longue u rapide - courte u moyen  -0.30731 0.1250   24.4  -2.458  0.5766
 longue u rapide - longue a lent   -0.89497 0.1480   33.3  -6.060  0.0001
 longue u rapide - courte a lent   -1.14972 0.1480   33.3  -7.785  <.0001
 longue u rapide - longue i lent   -2.54990 0.1590   31.2 -16.020  <.0001
 longue u rapide - courte i lent   -1.79620 0.1590   31.2 -11.285  <.0001
 longue u rapide - longue u lent    0.37768 0.0142 7131.0  26.647  <.0001
 longue u rapide - courte u lent   -0.25329 0.1250   24.4  -2.026  0.8306
 courte u rapide - longue a moyen  -0.52199 0.1480   33.3  -3.534  0.0866
 courte u rapide - courte a moyen  -0.74272 0.1480   33.3  -5.029  0.0018
 courte u rapide - longue i moyen  -2.03344 0.1590   31.2 -12.775  <.0001
 courte u rapide - courte i moyen  -1.32491 0.1590   31.2  -8.324  <.0001
 courte u rapide - longue u moyen   0.62683 0.1250   24.4   5.014  0.0037
 courte u rapide - courte u moyen   0.10450 0.0142 7131.0   7.373  <.0001
 courte u rapide - longue a lent   -0.48315 0.1480   33.3  -3.271  0.1520
 courte u rapide - courte a lent   -0.73790 0.1480   33.3  -4.996  0.0020
 courte u rapide - longue i lent   -2.13808 0.1590   31.2 -13.432  <.0001
 courte u rapide - courte i lent   -1.38438 0.1590   31.2  -8.697  <.0001
 courte u rapide - longue u lent    0.78950 0.1250   24.4   6.315  0.0002
 courte u rapide - courte u lent    0.15852 0.0142 7131.0  11.185  <.0001
 longue a moyen - courte a moyen   -0.22073 0.1250   24.4  -1.766  0.9317
 longue a moyen - longue i moyen   -1.51145 0.1310   28.4 -11.577  <.0001
 longue a moyen - courte i moyen   -0.80292 0.1310   28.4  -6.150  0.0001
 longue a moyen - longue u moyen    1.14881 0.1480   33.3   7.779  <.0001
 longue a moyen - courte u moyen    0.62649 0.1480   33.3   4.242  0.0155
 longue a moyen - longue a lent     0.03884 0.0142 7131.0   2.740  0.3525
 longue a moyen - courte a lent    -0.21591 0.1250   24.4  -1.727  0.9421
 longue a moyen - longue i lent    -1.61609 0.1310   28.4 -12.379  <.0001
 longue a moyen - courte i lent    -0.86239 0.1310   28.4  -6.606  <.0001
 longue a moyen - longue u lent     1.31148 0.1480   33.3   8.880  <.0001
 longue a moyen - courte u lent     0.68051 0.1480   33.3   4.608  0.0059
 courte a moyen - longue i moyen   -1.29072 0.1310   28.4  -9.887  <.0001
 courte a moyen - courte i moyen   -0.58219 0.1310   28.4  -4.459  0.0109
 courte a moyen - longue u moyen    1.36955 0.1480   33.3   9.273  <.0001
 courte a moyen - courte u moyen    0.84722 0.1480   33.3   5.736  0.0002
 courte a moyen - longue a lent     0.25957 0.1250   24.4   2.076  0.8053
 courte a moyen - courte a lent     0.00482 0.0142 7131.0   0.340  1.0000
 courte a moyen - longue i lent    -1.39536 0.1310   28.4 -10.688  <.0001
 courte a moyen - courte i lent    -0.64166 0.1310   28.4  -4.915  0.0034
 courte a moyen - longue u lent     1.53222 0.1480   33.3  10.375  <.0001
 courte a moyen - courte u lent     0.90125 0.1480   33.3   6.102  0.0001
 longue i moyen - courte i moyen    0.70852 0.1250   24.4   5.668  0.0008
 longue i moyen - longue u moyen    2.66026 0.1590   31.2  16.713  <.0001
 longue i moyen - courte u moyen    2.13794 0.1590   31.2  13.432  <.0001
 longue i moyen - longue a lent     1.55029 0.1310   28.4  11.875  <.0001
 longue i moyen - courte a lent     1.29554 0.1310   28.4   9.923  <.0001
 longue i moyen - longue i lent    -0.10464 0.0142 7131.0  -7.383  <.0001
 longue i moyen - courte i lent     0.64905 0.1250   24.4   5.192  0.0024
 longue i moyen - longue u lent     2.82293 0.1590   31.2  17.735  <.0001
 longue i moyen - courte u lent     2.19196 0.1590   31.2  13.771  <.0001
 courte i moyen - longue u moyen    1.95174 0.1590   31.2  12.262  <.0001
 courte i moyen - courte u moyen    1.42942 0.1590   31.2   8.980  <.0001
 courte i moyen - longue a lent     0.84176 0.1310   28.4   6.448  0.0001
 courte i moyen - courte a lent     0.58701 0.1310   28.4   4.496  0.0099
 courte i moyen - longue i lent    -0.81317 0.1250   24.4  -6.505  0.0001
 courte i moyen - courte i lent    -0.05947 0.0142 7131.0  -4.196  0.0036
 courte i moyen - longue u lent     2.11441 0.1590   31.2  13.284  <.0001
 courte i moyen - courte u lent     1.48344 0.1590   31.2   9.320  <.0001
 longue u moyen - courte u moyen   -0.52232 0.1250   24.4  -4.178  0.0258
 longue u moyen - longue a lent    -1.10998 0.1480   33.3  -7.516  <.0001
 longue u moyen - courte a lent    -1.36472 0.1480   33.3  -9.240  <.0001
 longue u moyen - longue i lent    -2.76490 0.1590   31.2 -17.371  <.0001
 longue u moyen - courte i lent    -2.01121 0.1590   31.2 -12.635  <.0001
 longue u moyen - longue u lent     0.16267 0.0142 7131.0  11.477  <.0001
 longue u moyen - courte u lent    -0.46830 0.1250   24.4  -3.746  0.0662
 courte u moyen - longue a lent    -0.58765 0.1480   33.3  -3.979  0.0302
 courte u moyen - courte a lent    -0.84240 0.1480   33.3  -5.704  0.0003
 courte u moyen - longue i lent    -2.24258 0.1590   31.2 -14.089  <.0001
 courte u moyen - courte i lent    -1.48888 0.1590   31.2  -9.354  <.0001
 courte u moyen - longue u lent     0.68499 0.1250   24.4   5.479  0.0012
 courte u moyen - courte u lent     0.05402 0.0142 7131.0   3.811  0.0165
 longue a lent - courte a lent     -0.25475 0.1250   24.4  -2.038  0.8249
 longue a lent - longue i lent     -1.65493 0.1310   28.4 -12.676  <.0001
 longue a lent - courte i lent     -0.90123 0.1310   28.4  -6.903  <.0001
 longue a lent - longue u lent      1.27265 0.1480   33.3   8.617  <.0001
 longue a lent - courte u lent      0.64168 0.1480   33.3   4.345  0.0118
 courte a lent - longue i lent     -1.40018 0.1310   28.4 -10.725  <.0001
 courte a lent - courte i lent     -0.64648 0.1310   28.4  -4.952  0.0031
 courte a lent - longue u lent      1.52739 0.1480   33.3  10.342  <.0001
 courte a lent - courte u lent      0.89642 0.1480   33.3   6.070  0.0001
 longue i lent - courte i lent      0.75370 0.1250   24.4   6.029  0.0003
 longue i lent - longue u lent      2.92757 0.1590   31.2  18.393  <.0001
 longue i lent - courte u lent      2.29660 0.1590   31.2  14.428  <.0001
 courte i lent - longue u lent      2.17388 0.1590   31.2  13.657  <.0001
 courte i lent - courte u lent      1.54291 0.1590   31.2   9.693  <.0001
 longue u lent - courte u lent     -0.63097 0.1250   24.4  -5.047  0.0034

Results are averaged over the levels of: Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 18 estimates 

10 F1midnor - Subset 2 - Timbre

10.1 Optimal model

10.1.1 Read Rds

lm.mod.Optimal <- readRDS("lm.mod.Optimal.F1midnorTimbreSub2.Rds")

10.1.2 Summary

summary(lm.mod.Optimal)
Linear mixed model fit by REML. t-tests use Satterthwaite's method ['lmerModLmerTest']
Formula: F1midnor ~ Longueur * Timbre * Debit + Sex + (Longueur | Speaker) +  
    (Debit | Speaker) + (1 | Word)
   Data: ArabicSub2
Control: lmerControl(optimizer = "bobyqa", optCtrl = list(maxfun = 2e+05))

REML criterion at convergence: 6046.3

Scaled residuals: 
    Min      1Q  Median      3Q     Max 
-5.6009 -0.5999  0.0225  0.6115  5.3320 

Random effects:
 Groups    Name           Variance Std.Dev. Corr     
 Word      (Intercept)    0.04035  0.2009            
 Speaker   (Intercept)    0.11260  0.3356            
           Debitmoyen     0.03689  0.1921   0.67     
           Debitlent      0.03631  0.1906   0.85 0.67
 Speaker.1 (Intercept)    0.03341  0.1828            
           Longueurcourte 0.01802  0.1342   0.91     
 Residual                 0.12937  0.3597            
Number of obs: 7200, groups:  Word, 30; Speaker, 10

Fixed effects:
                                    Estimate Std. Error         df t value Pr(>|t|)    
(Intercept)                        1.631e+00  1.649e-01  1.531e+01   9.892 4.77e-08 ***
Longueurcourte                    -9.507e-01  1.363e-01  2.995e+01  -6.974 9.61e-08 ***
Timbree                           -1.540e+00  1.296e-01  2.528e+01 -11.887 7.55e-12 ***
Timbreo                           -2.250e+00  1.296e-01  2.528e+01 -17.367 1.45e-15 ***
Debitmoyen                         2.148e-02  6.585e-02  1.174e+01   0.326  0.74998    
Debitlent                          1.172e-01  6.541e-02  1.178e+01   1.792  0.09875 .  
Sexm                               3.046e-02  1.294e-01  8.000e+00   0.236  0.81973    
Longueurcourte:Timbree             5.457e-01  1.832e-01  2.528e+01   2.978  0.00632 ** 
Longueurcourte:Timbreo             1.330e+00  1.832e-01  2.528e+01   7.256 1.24e-07 ***
Longueurcourte:Debitmoyen          4.086e-03  3.597e-02  7.122e+03   0.114  0.90956    
Longueurcourte:Debitlent          -3.440e-02  3.597e-02  7.122e+03  -0.956  0.33891    
Timbree:Debitmoyen                -1.651e-01  3.597e-02  7.122e+03  -4.589 4.52e-06 ***
Timbreo:Debitmoyen                -2.652e-01  3.597e-02  7.122e+03  -7.372 1.87e-13 ***
Timbree:Debitlent                 -3.621e-01  3.597e-02  7.122e+03 -10.067  < 2e-16 ***
Timbreo:Debitlent                 -4.079e-01  3.597e-02  7.122e+03 -11.341  < 2e-16 ***
Longueurcourte:Timbree:Debitmoyen  9.224e-03  5.087e-02  7.122e+03   0.181  0.85610    
Longueurcourte:Timbreo:Debitmoyen  1.584e-01  5.087e-02  7.122e+03   3.114  0.00185 ** 
Longueurcourte:Timbree:Debitlent   1.586e-01  5.087e-02  7.122e+03   3.118  0.00183 ** 
Longueurcourte:Timbreo:Debitlent   2.861e-01  5.087e-02  7.122e+03   5.625 1.92e-08 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Correlation matrix not shown by default, as p = 19 > 12.
Use print(x, correlation=TRUE)  or
    vcov(x)        if you need it

10.1.3 Anova

print(anova(lm.mod.Optimal))
Type III Analysis of Variance Table with Satterthwaite's method
                      Sum Sq Mean Sq NumDF  DenDF  F value    Pr(>F)    
Longueur               1.279  1.2785     1   32.3   9.8830  0.003565 ** 
Timbre                53.969 26.9846     2   24.0 208.5908 6.716e-16 ***
Debit                  0.317  0.1586     2    9.0   1.2259  0.338196    
Sex                    0.007  0.0072     1    8.0   0.0555  0.819735    
Longueur:Timbre        8.736  4.3678     2   24.0  33.7628 1.057e-07 ***
Longueur:Debit         3.892  1.9458     2 7122.0  15.0412 3.030e-07 ***
Timbre:Debit          20.843  5.2108     4 7122.0  40.2796 < 2.2e-16 ***
Longueur:Timbre:Debit  4.663  1.1656     4 7122.0   9.0103 2.955e-07 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

10.1.4 Model’s fit

tab_model(lm.mod.Optimal,file="test.html")
htmltools::includeHTML("test.html")
  F1midnor
Predictors Estimates CI p
(Intercept) 1.63 1.31 – 1.95 <0.001
Longueur [courte] -0.95 -1.22 – -0.68 <0.001
Timbre [e] -1.54 -1.79 – -1.29 <0.001
Timbre [o] -2.25 -2.50 – -2.00 <0.001
Debit [moyen] 0.02 -0.11 – 0.15 0.744
Debit [lent] 0.12 -0.01 – 0.25 0.073
Sex [m] 0.03 -0.22 – 0.28 0.814
Longueur [courte] ×
Timbre [e]
0.55 0.19 – 0.90 0.003
Longueur [courte] ×
Timbre [o]
1.33 0.97 – 1.69 <0.001
Longueur [courte] × Debit
[moyen]
0.00 -0.07 – 0.07 0.910
Longueur [courte] × Debit
[lent]
-0.03 -0.10 – 0.04 0.339
Timbre [e] × Debit
[moyen]
-0.17 -0.24 – -0.09 <0.001
Timbre [o] × Debit
[moyen]
-0.27 -0.34 – -0.19 <0.001
Timbre [e] × Debit [lent] -0.36 -0.43 – -0.29 <0.001
Timbre [o] × Debit [lent] -0.41 -0.48 – -0.34 <0.001
(Longueur [courte] ×
Timbre [e]) × Debit
[moyen]
0.01 -0.09 – 0.11 0.856
(Longueur [courte] ×
Timbre [o]) × Debit
[moyen]
0.16 0.06 – 0.26 0.002
(Longueur [courte] ×
Timbre [e]) × Debit
[lent]
0.16 0.06 – 0.26 0.002
(Longueur [courte] ×
Timbre [o]) × Debit
[lent]
0.29 0.19 – 0.39 <0.001
Random Effects
σ2 0.13
τ00 Word 0.04
τ00 Speaker 0.11
τ00 Speaker.1 0.03
τ11 Speaker.Debitmoyen 0.04
τ11 Speaker.Debitlent 0.04
τ11 Speaker.1.Longueurcourte 0.02
ρ01 Speaker.Debitmoyen 0.67
ρ01 Speaker.Debitlent 0.85
ρ01 Speaker.1 0.91
ICC 0.65
N Speaker 10
N Word 30
Observations 7200
Marginal R2 / Conditional R2 0.648 / 0.878

10.1.5 Evaluating Model’s assumptions - normality of residuals

qqnorm(residuals(lm.mod.Optimal))
qqline(residuals(lm.mod.Optimal))

10.1.6 Pairwise Comparison

10.1.6.1 Debit

if (file.exists(file = "emmF1Sub2Debit.Rds")){
  emmF1Sub2Debit <- readRDS("emmF1Sub2Debit.Rds")
}else{
  emmF1Sub2Debit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit)
  saveRDS(emmF1Sub2Debit, "emmF1Sub2Debit.Rds")
  emmF1Sub2Debit <- readRDS("emmF1Sub2Debit.Rds")
}
emmF1Sub2Debit
$emmeans
 Debit  emmean    SE   df lower.CL upper.CL
 rapide  0.220 0.137 13.4  -0.0747    0.514
 moyen   0.128 0.176 12.4  -0.2549    0.510
 lent    0.137 0.182 12.2  -0.2586    0.533

Results are averaged over the levels of: Longueur, Timbre, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast       estimate     SE df t.ratio p.value
 rapide - moyen  0.09195 0.0616  9   1.492  0.3391
 rapide - lent   0.08251 0.0611  9   1.349  0.4053
 moyen - lent   -0.00944 0.0500  9  -0.189  0.9806

Results are averaged over the levels of: Longueur, Timbre, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 3 estimates 

10.1.6.2 Timbre

if (file.exists(file = "emmF1Sub2Timbre.Rds")){
  emmF1Sub2Timbre <- readRDS("emmF1Sub2Timbre.Rds")
}else{
  emmF1Sub2Timbre <- emmeans(lm.mod.Optimal, specs = pairwise ~ Timbre)
  saveRDS(emmF1Sub2Timbre, "emmF1Sub2Timbre.Rds")
  emmF1Sub2Timbre <- readRDS("emmF1Sub2Timbre.Rds")
}
emmF1Sub2Timbre
$emmeans
 Timbre emmean    SE   df lower.CL upper.CL
 a       1.212 0.171 15.4    0.848     1.58
 e      -0.203 0.171 15.4   -0.567     0.16
 o      -0.524 0.171 15.4   -0.887    -0.16

Results are averaged over the levels of: Longueur, Debit, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast estimate     SE df t.ratio p.value
 a - e       1.415 0.0904 24  15.648  <.0001
 a - o       1.736 0.0904 24  19.192  <.0001
 e - o       0.321 0.0904 24   3.544  0.0045

Results are averaged over the levels of: Longueur, Debit, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 3 estimates 

10.1.6.3 Longueur

if (file.exists(file = "emmF1Sub2Longueur.Rds")){
  emmF1Sub2Longueur <- readRDS("emmF1Sub2Longueur.Rds")
}else{
  emmF1Sub2Longueur <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur)
  saveRDS(emmF1Sub2Longueur, "emmF1Sub2Longueur.Rds")
  emmF1Sub2Longueur <- readRDS("emmF1Sub2Longueur.Rds")
}
emmF1Sub2Longueur
$emmeans
 Longueur emmean    SE   df lower.CL upper.CL
 longue   0.2954 0.159 12.7  -0.0483    0.639
 courte   0.0277 0.177 15.4  -0.3496    0.405

Results are averaged over the levels of: Timbre, Debit, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast        estimate     SE   df t.ratio p.value
 longue - courte    0.268 0.0852 32.3   3.144  0.0036

Results are averaged over the levels of: Timbre, Debit, Sex 
Degrees-of-freedom method: kenward-roger 

10.1.6.4 Longueur x Timbre

if (file.exists(file = "emmF1Sub2LongueurTimbre.Rds")){
  emmF1Sub2LongueurTimbre <- readRDS("emmF1Sub2LongueurTimbre.Rds")
}else{
  emmF1Sub2LongueurTimbre <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Timbre)
  saveRDS(emmF1Sub2LongueurTimbre, "emmF1Sub2LongueurTimbre.Rds")
  emmF1Sub2LongueurTimbre <- readRDS("emmF1Sub2LongueurTimbre.Rds")
}
emmF1Sub2LongueurTimbre
$emmeans
 Longueur Timbre  emmean    SE   df lower.CL upper.CL
 longue   a       1.6922 0.175 17.9    1.324   2.0601
 courte   a       0.7313 0.192 20.4    0.331   1.1316
 longue   e      -0.0237 0.175 17.9   -0.392   0.3443
 courte   e      -0.3829 0.192 20.4   -0.783   0.0174
 longue   o      -0.7822 0.175 17.9   -1.150  -0.4143
 courte   o      -0.2654 0.192 20.4   -0.666   0.1350

Results are averaged over the levels of: Debit, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast            estimate    SE   df t.ratio p.value
 longue a - courte a    0.961 0.135 28.6   7.131  <.0001
 longue a - longue e    1.716 0.128 24.0  13.417  <.0001
 longue a - courte e    2.075 0.135 28.6  15.400  <.0001
 longue a - longue o    2.474 0.128 24.0  19.349  <.0001
 longue a - courte o    1.958 0.135 28.6  14.528  <.0001
 courte a - longue e    0.755 0.135 28.6   5.603  0.0001
 courte a - courte e    1.114 0.128 24.0   8.713  <.0001
 courte a - longue o    1.514 0.135 28.6  11.232  <.0001
 courte a - courte o    0.997 0.128 24.0   7.794  <.0001
 longue e - courte e    0.359 0.135 28.6   2.666  0.1139
 longue e - longue o    0.759 0.128 24.0   5.931  0.0001
 longue e - courte o    0.242 0.135 28.6   1.794  0.4853
 courte e - longue o    0.399 0.135 28.6   2.963  0.0608
 courte e - courte o   -0.118 0.128 24.0  -0.919  0.9377
 longue o - courte o   -0.517 0.135 28.6  -3.836  0.0076

Results are averaged over the levels of: Debit, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 6 estimates 

10.1.6.5 Longueur x Debit

if (file.exists(file = "emmF1Sub2LongueurDebit.Rds")){
  emmF1Sub2LongueurDebit <- readRDS("emmF1Sub2LongueurDebit.Rds")
}else{
  emmF1Sub2LongueurDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Debit)
  saveRDS(emmF1Sub2LongueurDebit, "emmF1Sub2LongueurDebit.Rds")
  emmF1Sub2LongueurDebit <- readRDS("emmF1Sub2LongueurDebit.Rds")
}
emmF1Sub2LongueurDebit
$emmeans
 Longueur Debit    emmean    SE   df lower.CL upper.CL
 longue   rapide  0.38255 0.132 14.3    0.100    0.665
 courte   rapide  0.05687 0.154 15.7   -0.270    0.383
 longue   moyen   0.26062 0.173 12.2   -0.115    0.636
 courte   moyen  -0.00509 0.190 14.9   -0.410    0.400
 longue   lent    0.24313 0.178 11.9   -0.146    0.632
 courte   lent    0.03129 0.195 14.6   -0.386    0.448

Results are averaged over the levels of: Timbre, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast                      estimate     SE    df t.ratio p.value
 longue rapide - courte rapide   0.3257 0.0860 33.60   3.787  0.0073
 longue rapide - longue moyen    0.1219 0.0625  9.52   1.951  0.4301
 longue rapide - courte moyen    0.3876 0.1050 38.05   3.682  0.0087
 longue rapide - longue lent     0.1394 0.0620  9.53   2.248  0.3000
 longue rapide - courte lent     0.3513 0.1050 38.23   3.345  0.0212
 courte rapide - longue moyen   -0.2038 0.1050 38.05  -1.935  0.3974
 courte rapide - courte moyen    0.0620 0.0625  9.52   0.992  0.9101
 courte rapide - longue lent    -0.1863 0.1050 38.23  -1.774  0.4941
 courte rapide - courte lent     0.0256 0.0620  9.53   0.413  0.9979
 longue moyen - courte moyen     0.2657 0.0860 33.60   3.089  0.0425
 longue moyen - longue lent      0.0175 0.0511  9.79   0.342  0.9992
 longue moyen - courte lent      0.2293 0.0990 41.25   2.317  0.2104
 courte moyen - longue lent     -0.2482 0.0990 41.25  -2.508  0.1453
 courte moyen - courte lent     -0.0364 0.0511  9.79  -0.712  0.9760
 longue lent - courte lent       0.2118 0.0860 33.60   2.463  0.1642

Results are averaged over the levels of: Timbre, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 6 estimates 

10.1.6.6 Timbre x Debit

if (file.exists(file = "emmF1Sub2TimbreDebit.Rds")){
  emmF1Sub2TimbreDebit <- readRDS("emmF1Sub2TimbreDebit.Rds")
}else{
  emmF1Sub2TimbreDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Timbre:Debit)
  saveRDS(emmF1Sub2TimbreDebit, "emmF1Sub2TimbreDebit.Rds")
  emmF1Sub2TimbreDebit <- readRDS("emmF1Sub2TimbreDebit.Rds")
}
emmF1Sub2TimbreDebit
$emmeans
 Timbre Debit   emmean    SE   df lower.CL upper.CL
 a      rapide  1.1705 0.147 17.3    0.862    1.479
 e      rapide -0.0967 0.147 17.3   -0.406    0.212
 o      rapide -0.4147 0.147 17.3   -0.723   -0.106
 a      moyen   1.1941 0.184 14.6    0.801    1.587
 e      moyen  -0.2336 0.184 14.6   -0.627    0.159
 o      moyen  -0.5771 0.184 14.6   -0.970   -0.184
 a      lent    1.2706 0.190 14.3    0.865    1.676
 e      lent   -0.2795 0.190 14.3   -0.685    0.126
 o      lent   -0.5795 0.190 14.3   -0.985   -0.174

Results are averaged over the levels of: Longueur, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast            estimate     SE   df t.ratio p.value
 a rapide - e rapide  1.26726 0.0916 25.3  13.833  <.0001
 a rapide - o rapide  1.58525 0.0916 25.3  17.304  <.0001
 a rapide - a moyen  -0.02352 0.0633 10.1  -0.371  1.0000
 a rapide - e moyen   1.40420 0.1100 33.3  12.775  <.0001
 a rapide - o moyen   1.74768 0.1100 33.3  15.900  <.0001
 a rapide - a lent   -0.10004 0.0629 10.1  -1.591  0.7913
 a rapide - e lent    1.45002 0.1100 33.3  13.224  <.0001
 a rapide - o lent    1.75005 0.1100 33.3  15.960  <.0001
 e rapide - o rapide  0.31799 0.0916 25.3   3.471  0.0412
 e rapide - a moyen  -1.29079 0.1100 33.3 -11.743  <.0001
 e rapide - e moyen   0.13693 0.0633 10.1   2.162  0.4873
 e rapide - o moyen   0.48042 0.1100 33.3   4.371  0.0032
 e rapide - a lent   -1.36730 0.1100 33.3 -12.469  <.0001
 e rapide - e lent    0.18276 0.0629 10.1   2.906  0.1944
 e rapide - o lent    0.48278 0.1100 33.3   4.403  0.0030
 o rapide - a moyen  -1.60878 0.1100 33.3 -14.637  <.0001
 o rapide - e moyen  -0.18106 0.1100 33.3  -1.647  0.7724
 o rapide - o moyen   0.16243 0.0633 10.1   2.564  0.3050
 o rapide - a lent   -1.68529 0.1100 33.3 -15.369  <.0001
 o rapide - e lent   -0.13523 0.1100 33.3  -1.233  0.9429
 o rapide - o lent    0.16479 0.0629 10.1   2.621  0.2839
 a moyen - e moyen    1.42772 0.0916 25.3  15.584  <.0001
 a moyen - o moyen    1.77121 0.0916 25.3  19.334  <.0001
 a moyen - a lent    -0.07651 0.0522 10.6  -1.467  0.8488
 a moyen - e lent     1.47355 0.1040 33.4  14.186  <.0001
 a moyen - o lent     1.77357 0.1040 33.4  17.074  <.0001
 e moyen - o moyen    0.34349 0.0916 25.3   3.749  0.0218
 e moyen - a lent    -1.50423 0.1040 33.4 -14.481  <.0001
 e moyen - e lent     0.04583 0.0522 10.6   0.879  0.9897
 e moyen - o lent     0.34585 0.1040 33.4   3.330  0.0480
 o moyen - a lent    -1.84772 0.1040 33.4 -17.788  <.0001
 o moyen - e lent    -0.29766 0.1040 33.4  -2.866  0.1342
 o moyen - o lent     0.00236 0.0522 10.6   0.045  1.0000
 a lent - e lent      1.55006 0.0916 25.3  16.920  <.0001
 a lent - o lent      1.85009 0.0916 25.3  20.195  <.0001
 e lent - o lent      0.30002 0.0916 25.3   3.275  0.0632

Results are averaged over the levels of: Longueur, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 9 estimates 

10.1.6.7 Longueur x Timbre x Debit

if (file.exists(file = "emmF1Sub2LongueurTimbreDebit.Rds")){
  emmF1Sub2LongueurTimbreDebit <- readRDS("emmF1Sub2LongueurTimbreDebit.Rds")
}else{
  emmF1Sub2LongueurTimbreDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Timbre:Debit)
  saveRDS(emmF1Sub2LongueurTimbreDebit, "emmF1Sub2LongueurTimbreDebit.Rds")
  emmF1Sub2LongueurTimbreDebit <- readRDS("emmF1Sub2LongueurTimbreDebit.Rds")
}
emmF1Sub2LongueurTimbreDebit
$emmeans
 Longueur Timbre Debit   emmean    SE   df lower.CL upper.CL
 longue   a      rapide  1.6459 0.152 22.4    1.332  1.96010
 courte   a      rapide  0.6952 0.171 22.4    0.341  1.04952
 longue   e      rapide  0.1058 0.152 22.4   -0.208  0.41999
 courte   e      rapide -0.2992 0.171 22.4   -0.654  0.05510
 longue   o      rapide -0.6041 0.152 22.4   -0.918 -0.28991
 courte   o      rapide -0.2253 0.171 22.4   -0.580  0.12901
 longue   a      moyen   1.6674 0.188 16.6    1.270  2.06499
 courte   a      moyen   0.7207 0.204 19.3    0.294  1.14745
 longue   e      moyen  -0.0378 0.188 16.6   -0.435  0.35981
 courte   e      moyen  -0.4295 0.204 19.3   -0.856 -0.00282
 longue   o      moyen  -0.8478 0.188 16.6   -1.245 -0.45018
 courte   o      moyen  -0.3065 0.204 19.3   -0.733  0.12020
 longue   a      lent    1.7632 0.194 16.0    1.353  2.17335
 courte   a      lent    0.7780 0.209 18.8    0.340  1.21606
 longue   e      lent   -0.1390 0.194 16.0   -0.549  0.27115
 courte   e      lent   -0.4199 0.209 18.8   -0.858  0.01814
 longue   o      lent   -0.8947 0.194 16.0   -1.305 -0.48455
 courte   o      lent   -0.2643 0.209 18.8   -0.702  0.17379

Results are averaged over the levels of: Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast                          estimate     SE   df t.ratio p.value
 longue a rapide - courte a rapide  0.95074 0.1360 29.9   6.974  <.0001
 longue a rapide - longue e rapide  1.54011 0.1300 25.3  11.887  <.0001
 longue a rapide - courte e rapide  1.94516 0.1360 29.9  14.267  <.0001
 longue a rapide - longue o rapide  2.25000 0.1300 25.3  17.367  <.0001
 longue a rapide - courte o rapide  1.87125 0.1360 29.9  13.725  <.0001
 longue a rapide - longue a moyen  -0.02148 0.0658 11.7  -0.326  1.0000
 longue a rapide - courte a moyen   0.92518 0.1490 37.8   6.199  <.0001
 longue a rapide - longue e moyen   1.68369 0.1430 32.9  11.767  <.0001
 longue a rapide - courte e moyen   2.07544 0.1490 37.8  13.906  <.0001
 longue a rapide - longue o moyen   2.49369 0.1430 32.9  17.428  <.0001
 longue a rapide - courte o moyen   1.95242 0.1490 37.8  13.081  <.0001
 longue a rapide - longue a lent   -0.11724 0.0654 11.8  -1.792  0.9053
 longue a rapide - courte a lent    0.86790 0.1490 37.7   5.823  0.0001
 longue a rapide - longue e lent    1.78496 0.1430 32.8  12.492  <.0001
 longue a rapide - courte e lent    2.06583 0.1490 37.7  13.859  <.0001
 longue a rapide - longue o lent    2.54066 0.1430 32.8  17.781  <.0001
 longue a rapide - courte o lent    1.91018 0.1490 37.7  12.815  <.0001
 courte a rapide - longue e rapide  0.58936 0.1360 29.9   4.323  0.0143
 courte a rapide - courte e rapide  0.99442 0.1300 25.3   7.675  <.0001
 courte a rapide - longue o rapide  1.29926 0.1360 29.9   9.530  <.0001
 courte a rapide - courte o rapide  0.92050 0.1300 25.3   7.105  <.0001
 courte a rapide - longue a moyen  -0.97222 0.1490 37.8  -6.514  <.0001
 courte a rapide - courte a moyen  -0.02557 0.0658 11.7  -0.388  1.0000
 courte a rapide - longue e moyen   0.73295 0.1490 37.8   4.911  0.0020
 courte a rapide - courte e moyen   1.12470 0.1430 32.9   7.860  <.0001
 courte a rapide - longue o moyen   1.54294 0.1490 37.8  10.338  <.0001
 courte a rapide - courte o moyen   1.00168 0.1430 32.9   7.000  <.0001
 courte a rapide - longue a lent   -1.06798 0.1490 37.7  -7.165  <.0001
 courte a rapide - courte a lent   -0.08284 0.0654 11.8  -1.267  0.9939
 courte a rapide - longue e lent    0.83422 0.1490 37.7   5.597  0.0003
 courte a rapide - courte e lent    1.11508 0.1430 32.8   7.804  <.0001
 courte a rapide - longue o lent    1.58992 0.1490 37.7  10.666  <.0001
 courte a rapide - courte o lent    0.95943 0.1430 32.8   6.715  <.0001
 longue e rapide - courte e rapide  0.40506 0.1360 29.9   2.971  0.2744
 longue e rapide - longue o rapide  0.70990 0.1300 25.3   5.479  0.0011
 longue e rapide - courte o rapide  0.33114 0.1360 29.9   2.429  0.5937
 longue e rapide - longue a moyen  -1.56159 0.1430 32.9 -10.913  <.0001
 longue e rapide - courte a moyen  -0.61493 0.1490 37.8  -4.120  0.0187
 longue e rapide - longue e moyen   0.14359 0.0658 11.7   2.181  0.7368
 longue e rapide - courte e moyen   0.53534 0.1490 37.8   3.587  0.0720
 longue e rapide - longue o moyen   0.95358 0.1430 32.9   6.664  <.0001
 longue e rapide - courte o moyen   0.41232 0.1490 37.8   2.763  0.3757
 longue e rapide - longue a lent   -1.65734 0.1430 32.8 -11.599  <.0001
 longue e rapide - courte a lent   -0.67220 0.1490 37.7  -4.510  0.0064
 longue e rapide - longue e lent    0.24486 0.0654 11.8   3.744  0.1176
 longue e rapide - courte e lent    0.52572 0.1490 37.7   3.527  0.0829
 longue e rapide - longue o lent    1.00056 0.1430 32.8   7.002  <.0001
 longue e rapide - courte o lent    0.37007 0.1490 37.7   2.483  0.5558
 courte e rapide - longue o rapide  0.30484 0.1360 29.9   2.236  0.7174
 courte e rapide - courte o rapide -0.07392 0.1300 25.3  -0.571  1.0000
 courte e rapide - longue a moyen  -1.96664 0.1490 37.8 -13.177  <.0001
 courte e rapide - courte a moyen  -1.01999 0.1430 32.9  -7.128  <.0001
 courte e rapide - longue e moyen  -0.26147 0.1490 37.8  -1.752  0.9423
 courte e rapide - courte e moyen   0.13028 0.0658 11.7   1.979  0.8339
 courte e rapide - longue o moyen   0.54852 0.1490 37.8   3.675  0.0583
 courte e rapide - courte o moyen   0.00726 0.1430 32.9   0.051  1.0000
 courte e rapide - longue a lent   -2.06240 0.1490 37.7 -13.836  <.0001
 courte e rapide - courte a lent   -1.07726 0.1430 32.8  -7.539  <.0001
 courte e rapide - longue e lent   -0.16020 0.1490 37.7  -1.075  0.9997
 courte e rapide - courte e lent    0.12066 0.0654 11.8   1.845  0.8874
 courte e rapide - longue o lent    0.59550 0.1490 37.7   3.995  0.0261
 courte e rapide - courte o lent   -0.03499 0.1430 32.8  -0.245  1.0000
 longue o rapide - courte o rapide -0.37876 0.1360 29.9  -2.778  0.3749
 longue o rapide - longue a moyen  -2.27149 0.1430 32.9 -15.875  <.0001
 longue o rapide - courte a moyen  -1.32483 0.1490 37.8  -8.876  <.0001
 longue o rapide - longue e moyen  -0.56631 0.1430 32.9  -3.958  0.0322
 longue o rapide - courte e moyen  -0.17456 0.1490 37.8  -1.170  0.9990
 longue o rapide - longue o moyen   0.24368 0.0658 11.7   3.701  0.1255
 longue o rapide - courte o moyen  -0.29758 0.1490 37.8  -1.994  0.8541
 longue o rapide - longue a lent   -2.36724 0.1430 32.8 -16.567  <.0001
 longue o rapide - courte a lent   -1.38210 0.1490 37.7  -9.272  <.0001
 longue o rapide - longue e lent   -0.46504 0.1430 32.8  -3.255  0.1580
 longue o rapide - courte e lent   -0.18418 0.1490 37.7  -1.236  0.9981
 longue o rapide - longue o lent    0.29066 0.0654 11.8   4.444  0.0416
 longue o rapide - courte o lent   -0.33983 0.1490 37.7  -2.280  0.6914
 courte o rapide - longue a moyen  -1.89273 0.1490 37.8 -12.681  <.0001
 courte o rapide - courte a moyen  -0.94607 0.1430 32.9  -6.612  <.0001
 courte o rapide - longue e moyen  -0.18755 0.1490 37.8  -1.257  0.9977
 courte o rapide - courte e moyen   0.20420 0.1430 32.9   1.427  0.9905
 courte o rapide - longue o moyen   0.62244 0.1490 37.8   4.170  0.0163
 courte o rapide - courte o moyen   0.08118 0.0658 11.7   1.233  0.9953
 courte o rapide - longue a lent   -1.98848 0.1490 37.7 -13.340  <.0001
 courte o rapide - courte a lent   -1.00334 0.1430 32.8  -7.022  <.0001
 courte o rapide - longue e lent   -0.08628 0.1490 37.7  -0.579  1.0000
 courte o rapide - courte e lent    0.19458 0.1430 32.8   1.362  0.9941
 courte o rapide - longue o lent    0.66942 0.1490 37.7   4.491  0.0068
 courte o rapide - courte o lent    0.03893 0.0654 11.8   0.595  1.0000
 longue a moyen - courte a moyen    0.94666 0.1360 29.9   6.944  <.0001
 longue a moyen - longue e moyen    1.70518 0.1300 25.3  13.161  <.0001
 longue a moyen - courte e moyen    2.09692 0.1360 29.9  15.380  <.0001
 longue a moyen - longue o moyen    2.51517 0.1300 25.3  19.413  <.0001
 longue a moyen - courte o moyen    1.97391 0.1360 29.9  14.478  <.0001
 longue a moyen - longue a lent    -0.09576 0.0552 13.3  -1.736  0.9262
 longue a moyen - courte a lent     0.88939 0.1450 36.0   6.140  0.0001
 longue a moyen - longue e lent     1.80644 0.1390 31.1  13.043  <.0001
 longue a moyen - courte e lent     2.08731 0.1450 36.0  14.409  <.0001
 longue a moyen - longue o lent     2.56214 0.1390 31.1  18.499  <.0001
 longue a moyen - courte o lent     1.93166 0.1450 36.0  13.335  <.0001
 courte a moyen - longue e moyen    0.75852 0.1360 29.9   5.564  0.0005
 courte a moyen - courte e moyen    1.15027 0.1300 25.3   8.878  <.0001
 courte a moyen - longue o moyen    1.56851 0.1360 29.9  11.505  <.0001
 courte a moyen - courte o moyen    1.02725 0.1300 25.3   7.929  <.0001
 courte a moyen - longue a lent    -1.04241 0.1450 36.0  -7.196  <.0001
 courte a moyen - courte a lent    -0.05727 0.0552 13.3  -1.038  0.9993
 courte a moyen - longue e lent     0.85979 0.1450 36.0   5.935  0.0001
 courte a moyen - courte e lent     1.14065 0.1390 31.1   8.236  <.0001
 courte a moyen - longue o lent     1.61549 0.1450 36.0  11.152  <.0001
 courte a moyen - courte o lent     0.98500 0.1390 31.1   7.112  <.0001
 longue e moyen - courte e moyen    0.39175 0.1360 29.9   2.873  0.3229
 longue e moyen - longue o moyen    0.80999 0.1300 25.3   6.252  0.0002
 longue e moyen - courte o moyen    0.26873 0.1360 29.9   1.971  0.8604
 longue e moyen - longue a lent    -1.80093 0.1390 31.1 -13.003  <.0001
 longue e moyen - courte a lent    -0.81579 0.1450 36.0  -5.632  0.0003
 longue e moyen - longue e lent     0.10127 0.0552 13.3   1.836  0.8944
 longue e moyen - courte e lent     0.38213 0.1450 36.0   2.638  0.4540
 longue e moyen - longue o lent     0.85697 0.1390 31.1   6.187  0.0001
 longue e moyen - courte o lent     0.22648 0.1450 36.0   1.563  0.9779
 courte e moyen - longue o moyen    0.41824 0.1360 29.9   3.068  0.2315
 courte e moyen - courte o moyen   -0.12302 0.1300 25.3  -0.950  0.9999
 courte e moyen - longue a lent    -2.19268 0.1450 36.0 -15.136  <.0001
 courte e moyen - courte a lent    -1.20754 0.1390 31.1  -8.719  <.0001
 courte e moyen - longue e lent    -0.29048 0.1450 36.0  -2.005  0.8479
 courte e moyen - courte e lent    -0.00962 0.0552 13.3  -0.174  1.0000
 courte e moyen - longue o lent     0.46522 0.1450 36.0   3.212  0.1676
 courte e moyen - courte o lent    -0.16527 0.1390 31.1  -1.193  0.9986
 longue o moyen - courte o moyen   -0.54126 0.1360 29.9  -3.970  0.0339
 longue o moyen - longue a lent    -2.61092 0.1390 31.1 -18.851  <.0001
 longue o moyen - courte a lent    -1.62578 0.1450 36.0 -11.223  <.0001
 longue o moyen - longue e lent    -0.70872 0.1390 31.1  -5.117  0.0017
 longue o moyen - courte e lent    -0.42786 0.1450 36.0  -2.954  0.2742
 longue o moyen - longue o lent     0.04698 0.0552 13.3   0.851  0.9999
 longue o moyen - courte o lent    -0.58351 0.1450 36.0  -4.028  0.0249
 courte o moyen - longue a lent    -2.06966 0.1450 36.0 -14.287  <.0001
 courte o moyen - courte a lent    -1.08452 0.1390 31.1  -7.830  <.0001
 courte o moyen - longue e lent    -0.16746 0.1450 36.0  -1.156  0.9991
 courte o moyen - courte e lent     0.11340 0.1390 31.1   0.819  1.0000
 courte o moyen - longue o lent     0.58824 0.1450 36.0   4.061  0.0229
 courte o moyen - courte o lent    -0.04225 0.0552 13.3  -0.766  1.0000
 longue a lent - courte a lent      0.98514 0.1360 29.9   7.226  <.0001
 longue a lent - longue e lent      1.90220 0.1300 25.3  14.682  <.0001
 longue a lent - courte e lent      2.18306 0.1360 29.9  16.012  <.0001
 longue a lent - longue o lent      2.65790 0.1300 25.3  20.515  <.0001
 longue a lent - courte o lent      2.02741 0.1360 29.9  14.871  <.0001
 courte a lent - longue e lent      0.91706 0.1360 29.9   6.726  <.0001
 courte a lent - courte e lent      1.19792 0.1300 25.3   9.246  <.0001
 courte a lent - longue o lent      1.67276 0.1360 29.9  12.269  <.0001
 courte a lent - courte o lent      1.04227 0.1300 25.3   8.045  <.0001
 longue e lent - courte e lent      0.28086 0.1360 29.9   2.060  0.8175
 longue e lent - longue o lent      0.75570 0.1300 25.3   5.833  0.0005
 longue e lent - courte o lent      0.12521 0.1360 29.9   0.918  0.9999
 courte e lent - longue o lent      0.47484 0.1360 29.9   3.483  0.1021
 courte e lent - courte o lent     -0.15565 0.1300 25.3  -1.201  0.9982
 longue o lent - courte o lent     -0.63049 0.1360 29.9  -4.624  0.0066

Results are averaged over the levels of: Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 18 estimates 

11 F2midnor - Subset 2 - Timbre

11.1 Optimal model

11.1.1 Read Rds

lm.mod.Optimal <- readRDS("lm.mod.Optimal.F2midnorTimbreSub2.Rds")

11.1.2 Summary

summary(lm.mod.Optimal)
Linear mixed model fit by REML. t-tests use Satterthwaite's method ['lmerModLmerTest']
Formula: F2midnor ~ Longueur * Timbre * Debit + Sex + (Timbre | Speaker) +      (1 | Word)
   Data: ArabicSub2
Control: lmerControl(optimizer = "bobyqa", optCtrl = list(maxfun = 2e+05))

REML criterion at convergence: -2607.5

Scaled residuals: 
    Min      1Q  Median      3Q     Max 
-6.2880 -0.6254 -0.0095  0.6077  4.6769 

Random effects:
 Groups   Name        Variance Std.Dev. Corr       
 Word     (Intercept) 0.039941 0.19985             
 Speaker  (Intercept) 0.041953 0.20482             
          Timbree     0.003207 0.05663  -0.18      
          Timbreo     0.061854 0.24870  -0.89 -0.10
 Residual             0.038751 0.19685             
Number of obs: 7200, groups:  Word, 30; Speaker, 10

Fixed effects:
                                    Estimate Std. Error         df t value Pr(>|t|)    
(Intercept)                          0.22794    0.11333   31.85541   2.011  0.05283 .  
Longueurcourte                       0.19950    0.12716   24.38800   1.569  0.12956    
Timbree                              0.75207    0.12842   25.33228   5.856 3.94e-06 ***
Timbreo                             -0.96858    0.14952   33.28046  -6.478 2.29e-07 ***
Debitmoyen                          -0.03477    0.01392 7131.00005  -2.498  0.01252 *  
Debitlent                           -0.07361    0.01392 7131.00005  -5.288 1.27e-07 ***
Sexm                                -0.58603    0.04751    7.99993 -12.335 1.74e-06 ***
Longueurcourte:Timbree              -0.22604    0.17983   24.38800  -1.257  0.22069    
Longueurcourte:Timbreo               0.21232    0.17983   24.38800   1.181  0.24914    
Longueurcourte:Debitmoyen            0.02123    0.01969 7131.00005   1.079  0.28082    
Longueurcourte:Debitlent             0.05525    0.01969 7131.00005   2.807  0.00502 ** 
Timbree:Debitmoyen                   0.13084    0.01969 7131.00006   6.647 3.22e-11 ***
Timbreo:Debitmoyen                  -0.18024    0.01969 7131.00006  -9.156  < 2e-16 ***
Timbree:Debitlent                    0.27057    0.01969 7131.00006  13.745  < 2e-16 ***
Timbreo:Debitlent                   -0.30407    0.01969 7131.00006 -15.447  < 2e-16 ***
Longueurcourte:Timbree:Debitmoyen   -0.07468    0.02784 7131.00006  -2.683  0.00732 ** 
Longueurcourte:Timbreo:Debitmoyen    0.08927    0.02784 7131.00005   3.207  0.00135 ** 
Longueurcourte:Timbree:Debitlent    -0.15012    0.02784 7131.00006  -5.392 7.17e-08 ***
Longueurcourte:Timbreo:Debitlent     0.16391    0.02784 7131.00005   5.888 4.10e-09 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Correlation matrix not shown by default, as p = 19 > 12.
Use print(x, correlation=TRUE)  or
    vcov(x)        if you need it

11.1.3 Anova

print(anova(lm.mod.Optimal))
Type III Analysis of Variance Table with Satterthwaite's method
                      Sum Sq Mean Sq NumDF  DenDF  F value    Pr(>F)    
Longueur               0.362  0.3622     1   24.0   9.3482  0.005411 ** 
Timbre                 7.978  3.9888     2   32.7 102.9343 7.856e-15 ***
Debit                  3.796  1.8980     2 7131.0  48.9788 < 2.2e-16 ***
Sex                    5.896  5.8962     1    8.0 152.1578 1.737e-06 ***
Longueur:Timbre        0.431  0.2157     2   24.0   5.5674  0.010320 *  
Longueur:Debit         1.080  0.5401     2 7131.0  13.9378 9.093e-07 ***
Timbre:Debit          35.113  8.7783     4 7131.0 226.5333 < 2.2e-16 ***
Longueur:Timbre:Debit  4.938  1.2346     4 7131.0  31.8595 < 2.2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

11.1.4 Model’s fit

tab_model(lm.mod.Optimal,file="test.html")
htmltools::includeHTML("test.html")
  F2midnor
Predictors Estimates CI p
(Intercept) 0.23 0.01 – 0.45 0.044
Longueur [courte] 0.20 -0.05 – 0.45 0.117
Timbre [e] 0.75 0.50 – 1.00 <0.001
Timbre [o] -0.97 -1.26 – -0.68 <0.001
Debit [moyen] -0.03 -0.06 – -0.01 0.013
Debit [lent] -0.07 -0.10 – -0.05 <0.001
Sex [m] -0.59 -0.68 – -0.49 <0.001
Longueur [courte] ×
Timbre [e]
-0.23 -0.58 – 0.13 0.209
Longueur [courte] ×
Timbre [o]
0.21 -0.14 – 0.56 0.238
Longueur [courte] × Debit
[moyen]
0.02 -0.02 – 0.06 0.281
Longueur [courte] × Debit
[lent]
0.06 0.02 – 0.09 0.005
Timbre [e] × Debit
[moyen]
0.13 0.09 – 0.17 <0.001
Timbre [o] × Debit
[moyen]
-0.18 -0.22 – -0.14 <0.001
Timbre [e] × Debit [lent] 0.27 0.23 – 0.31 <0.001
Timbre [o] × Debit [lent] -0.30 -0.34 – -0.27 <0.001
(Longueur [courte] ×
Timbre [e]) × Debit
[moyen]
-0.07 -0.13 – -0.02 0.007
(Longueur [courte] ×
Timbre [o]) × Debit
[moyen]
0.09 0.03 – 0.14 0.001
(Longueur [courte] ×
Timbre [e]) × Debit
[lent]
-0.15 -0.20 – -0.10 <0.001
(Longueur [courte] ×
Timbre [o]) × Debit
[lent]
0.16 0.11 – 0.22 <0.001
Random Effects
σ2 0.04
τ00 Word 0.04
τ00 Speaker 0.04
τ11 Speaker.Timbree 0.00
τ11 Speaker.Timbreo 0.06
ρ01 Speaker.Timbree -0.18
ρ01 Speaker.Timbreo -0.89
ICC 0.65
N Speaker 10
N Word 30
Observations 7200
Marginal R2 / Conditional R2 0.847 / 0.947

11.1.5 Evaluating Model’s assumptions - normality of residuals

qqnorm(residuals(lm.mod.Optimal))
qqline(residuals(lm.mod.Optimal))

11.1.6 Pairwise Comparison

11.1.6.1 Debit

if (file.exists(file = "emmF2Sub2Debit.Rds")){
  emmF2Sub2Debit <- readRDS("emmF2Sub2Debit.Rds")
}else{
  emmF2Sub2Debit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit)
  saveRDS(emmF2Sub2Debit, "emmF2Sub2Debit.Rds")
  emmF2Sub2Debit <- readRDS("emmF2Sub2Debit.Rds")
}
emmF2Sub2Debit
$emmeans
 Debit   emmean     SE   df lower.CL upper.CL
 rapide -0.0398 0.0553 22.1   -0.154   0.0749
 moyen  -0.0780 0.0553 22.1   -0.193   0.0367
 lent   -0.0946 0.0553 22.1   -0.209   0.0200

Results are averaged over the levels of: Longueur, Timbre, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast       estimate      SE   df t.ratio p.value
 rapide - moyen   0.0382 0.00568 7131   6.720  <.0001
 rapide - lent    0.0549 0.00568 7131   9.653  <.0001
 moyen - lent     0.0167 0.00568 7131   2.933  0.0094

Results are averaged over the levels of: Longueur, Timbre, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 3 estimates 

11.1.6.2 Timbre

if (file.exists(file = "emmF2Sub2Timbre.Rds")){
  emmF2Sub2Timbre <- readRDS("emmF2Sub2Timbre.Rds")
}else{
  emmF2Sub2Timbre <- emmeans(lm.mod.Optimal, specs = pairwise ~ Timbre)
  saveRDS(emmF2Sub2Timbre, "emmF2Sub2Timbre.Rds")
  emmF2Sub2Timbre <- readRDS("emmF2Sub2Timbre.Rds")
}
emmF2Sub2Timbre
$emmeans
 Timbre  emmean     SE   df lower.CL upper.CL
 a       0.0113 0.0906 24.9   -0.175    0.198
 e       0.7467 0.0900 25.2    0.561    0.932
 o      -0.9704 0.0727 32.1   -1.118   -0.822

Results are averaged over the levels of: Longueur, Debit, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast estimate     SE   df t.ratio p.value
 a - e      -0.735 0.0913 25.8  -8.052  <.0001
 a - o       0.982 0.1190 28.9   8.236  <.0001
 e - o       1.717 0.1220 27.9  14.112  <.0001

Results are averaged over the levels of: Longueur, Debit, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 3 estimates 

11.1.6.3 Longueur

if (file.exists(file = "emmF2Sub2Longueur.Rds")){
  emmF2Sub2Longueur <- readRDS("emmF2Sub2Longueur.Rds")
}else{
  emmF2Sub2Longueur <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur)
  saveRDS(emmF2Sub2Longueur, "emmF2Sub2Longueur.Rds")
  emmF2Sub2Longueur <- readRDS("emmF2Sub2Longueur.Rds")
}
emmF2Sub2Longueur
$emmeans
 Longueur emmean     SE   df lower.CL upper.CL
 longue   -0.183 0.0662 29.7  -0.3179  -0.0473
 courte    0.041 0.0662 29.7  -0.0943   0.1763

Results are averaged over the levels of: Timbre, Debit, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast        estimate     SE df t.ratio p.value
 longue - courte   -0.224 0.0731 24  -3.057  0.0054

Results are averaged over the levels of: Timbre, Debit, Sex 
Degrees-of-freedom method: kenward-roger 

11.1.6.4 Longueur x Timbre

if (file.exists(file = "emmF2Sub2LongueurTimbre.Rds")){
  emmF2Sub2LongueurTimbre <- readRDS("emmF2Sub2LongueurTimbre.Rds")
}else{
  emmF2Sub2LongueurTimbre <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Timbre)
  saveRDS(emmF2Sub2LongueurTimbre, "emmF2Sub2LongueurTimbre.Rds")
  emmF2Sub2LongueurTimbre <- readRDS("emmF2Sub2LongueurTimbre.Rds")
}
emmF2Sub2LongueurTimbre
$emmeans
 Longueur Timbre emmean     SE   df lower.CL upper.CL
 longue   a      -0.101 0.1110 31.7   -0.326    0.124
 courte   a       0.124 0.1110 31.7   -0.101    0.349
 longue   e       0.785 0.1100 31.8    0.560    1.009
 courte   e       0.709 0.1100 31.8    0.484    0.933
 longue   o      -1.231 0.0964 30.0   -1.428   -1.034
 courte   o      -0.710 0.0964 30.0   -0.906   -0.513

Results are averaged over the levels of: Debit, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast            estimate    SE   df t.ratio p.value
 longue a - courte a   -0.225 0.127 24.0  -1.776  0.4984
 longue a - longue e   -0.886 0.128 24.9  -6.926  <.0001
 longue a - courte e   -0.810 0.128 24.9  -6.332  <.0001
 longue a - longue o    1.130 0.149 32.9   7.580  <.0001
 longue a - courte o    0.608 0.149 32.9   4.080  0.0034
 courte a - longue e   -0.661 0.128 24.9  -5.167  0.0003
 courte a - courte e   -0.585 0.128 24.9  -4.573  0.0014
 courte a - longue o    1.355 0.149 32.9   9.089  <.0001
 courte a - courte o    0.833 0.149 32.9   5.589  <.0001
 longue e - courte e    0.076 0.127 24.0   0.600  0.9900
 longue e - longue o    2.016 0.151 32.8  13.343  <.0001
 longue e - courte o    1.494 0.151 32.8   9.890  <.0001
 courte e - longue o    1.940 0.151 32.8  12.840  <.0001
 courte e - courte o    1.418 0.151 32.8   9.387  <.0001
 longue o - courte o   -0.522 0.127 24.0  -4.119  0.0046

Results are averaged over the levels of: Debit, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 6 estimates 

11.1.6.5 Longueur x Debit

if (file.exists(file = "emmF2Sub2LongueurDebit.Rds")){
  emmF2Sub2LongueurDebit <- readRDS("emmF2Sub2LongueurDebit.Rds")
}else{
  emmF2Sub2LongueurDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Debit)
  saveRDS(emmF2Sub2LongueurDebit, "emmF2Sub2LongueurDebit.Rds")
  emmF2Sub2LongueurDebit <- readRDS("emmF2Sub2LongueurDebit.Rds")
}
emmF2Sub2LongueurDebit
$emmeans
 Longueur Debit   emmean     SE df lower.CL upper.CL
 longue   rapide -0.1372 0.0664 30  -0.2728 -0.00169
 courte   rapide  0.0577 0.0664 30  -0.0779  0.19324
 longue   moyen  -0.1885 0.0664 30  -0.3240 -0.05292
 courte   moyen   0.0325 0.0664 30  -0.1030  0.16810
 longue   lent   -0.2220 0.0664 30  -0.3576 -0.08646
 courte   lent    0.0328 0.0664 30  -0.1028  0.16831

Results are averaged over the levels of: Timbre, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast                       estimate      SE     df t.ratio p.value
 longue rapide - courte rapide -0.194927 0.07340   24.4  -2.655  0.1217
 longue rapide - longue moyen   0.051236 0.00804 7131.0   6.375  <.0001
 longue rapide - courte moyen  -0.169787 0.07340   24.4  -2.313  0.2272
 longue rapide - longue lent    0.084774 0.00804 7131.0  10.549  <.0001
 longue rapide - courte lent   -0.169996 0.07340   24.4  -2.315  0.2261
 courte rapide - longue moyen   0.246163 0.07340   24.4   3.353  0.0278
 courte rapide - courte moyen   0.025140 0.00804 7131.0   3.128  0.0218
 courte rapide - longue lent    0.279702 0.07340   24.4   3.810  0.0096
 courte rapide - courte lent    0.024932 0.00804 7131.0   3.102  0.0237
 longue moyen - courte moyen   -0.221023 0.07340   24.4  -3.011  0.0590
 longue moyen - longue lent     0.033539 0.00804 7131.0   4.173  0.0004
 longue moyen - courte lent    -0.221231 0.07340   24.4  -3.013  0.0587
 courte moyen - longue lent     0.254562 0.07340   24.4   3.467  0.0214
 courte moyen - courte lent    -0.000208 0.00804 7131.0  -0.026  1.0000
 longue lent - courte lent     -0.254770 0.07340   24.4  -3.470  0.0213

Results are averaged over the levels of: Timbre, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 6 estimates 

11.1.6.6 Timbre x Debit

if (file.exists(file = "emmF2Sub2TimbreDebit.Rds")){
  emmF2Sub2TimbreDebit <- readRDS("emmF2Sub2TimbreDebit.Rds")
}else{
  emmF2Sub2TimbreDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Timbre:Debit)
  saveRDS(emmF2Sub2TimbreDebit, "emmF2Sub2TimbreDebit.Rds")
  emmF2Sub2TimbreDebit <- readRDS("emmF2Sub2TimbreDebit.Rds")
}
emmF2Sub2TimbreDebit
$emmeans
 Timbre Debit   emmean     SE   df lower.CL upper.CL
 a      rapide  0.0347 0.0908 25.1   -0.152    0.222
 e      rapide  0.6737 0.0902 25.4    0.488    0.859
 o      rapide -0.8277 0.0729 32.5   -0.976   -0.679
 a      moyen   0.0105 0.0908 25.1   -0.176    0.197
 e      moyen   0.7431 0.0902 25.4    0.557    0.929
 o      moyen  -0.9875 0.0729 32.5   -1.136   -0.839
 a      lent   -0.0113 0.0908 25.1   -0.198    0.176
 e      lent    0.8233 0.0902 25.4    0.638    1.009
 o      lent   -1.0958 0.0729 32.5   -1.244   -0.947

Results are averaged over the levels of: Longueur, Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast            estimate      SE     df t.ratio p.value
 a rapide - e rapide  -0.6391 0.09170   26.2  -6.970  <.0001
 a rapide - o rapide   0.8624 0.11900   29.2   7.219  <.0001
 a rapide - a moyen    0.0242 0.00984 7131.0   2.454  0.2550
 a rapide - e moyen   -0.7084 0.09170   26.2  -7.727  <.0001
 a rapide - o moyen    1.0222 0.11900   29.2   8.557  <.0001
 a rapide - a lent     0.0460 0.00984 7131.0   4.672  0.0001
 a rapide - e lent    -0.7886 0.09170   26.2  -8.601  <.0001
 a rapide - o lent     1.1305 0.11900   29.2   9.464  <.0001
 e rapide - o rapide   1.5015 0.12200   28.2  12.313  <.0001
 e rapide - a moyen    0.6632 0.09170   26.2   7.234  <.0001
 e rapide - e moyen   -0.0693 0.00984 7131.0  -7.045  <.0001
 e rapide - o moyen    1.6612 0.12200   28.2  13.623  <.0001
 e rapide - a lent     0.6850 0.09170   26.2   7.472  <.0001
 e rapide - e lent    -0.1495 0.00984 7131.0 -15.192  <.0001
 e rapide - o lent     1.7696 0.12200   28.2  14.512  <.0001
 o rapide - a moyen   -0.8383 0.11900   29.2  -7.017  <.0001
 o rapide - e moyen   -1.5708 0.12200   28.2 -12.882  <.0001
 o rapide - o moyen    0.1598 0.00984 7131.0  16.231  <.0001
 o rapide - a lent    -0.8164 0.11900   29.2  -6.834  <.0001
 o rapide - e lent    -1.6510 0.12200   28.2 -13.539  <.0001
 o rapide - o lent     0.2681 0.00984 7131.0  27.239  <.0001
 a moyen - e moyen    -0.7326 0.09170   26.2  -7.990  <.0001
 a moyen - o moyen     0.9980 0.11900   29.2   8.354  <.0001
 a moyen - a lent      0.0218 0.00984 7131.0   2.218  0.3939
 a moyen - e lent     -0.8127 0.09170   26.2  -8.865  <.0001
 a moyen - o lent      1.1064 0.11900   29.2   9.261  <.0001
 e moyen - o moyen     1.7306 0.12200   28.2  14.192  <.0001
 e moyen - a lent      0.7544 0.09170   26.2   8.228  <.0001
 e moyen - e lent     -0.0802 0.00984 7131.0  -8.146  <.0001
 e moyen - o lent      1.8389 0.12200   28.2  15.080  <.0001
 o moyen - a lent     -0.9762 0.11900   29.2  -8.172  <.0001
 o moyen - e lent     -1.8108 0.12200   28.2 -14.849  <.0001
 o moyen - o lent      0.1083 0.00984 7131.0  11.008  <.0001
 a lent - e lent      -0.8346 0.09170   26.2  -9.103  <.0001
 a lent - o lent       1.0845 0.11900   29.2   9.079  <.0001
 e lent - o lent       1.9191 0.12200   28.2  15.738  <.0001

Results are averaged over the levels of: Longueur, Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 9 estimates 

11.1.6.7 Longueur x Timbre x Debit

if (file.exists(file = "emmF2Sub2LongueurTimbreDebit.Rds")){
  emmF2Sub2LongueurTimbreDebit <- readRDS("emmF2Sub2LongueurTimbreDebit.Rds")
}else{
  emmF2Sub2LongueurTimbreDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Timbre:Debit)
  saveRDS(emmF2Sub2LongueurTimbreDebit, "emmF2Sub2LongueurTimbreDebit.Rds")
  emmF2Sub2LongueurTimbreDebit <- readRDS("emmF2Sub2LongueurTimbreDebit.Rds")
}
emmF2Sub2LongueurTimbreDebit
$emmeans
 Longueur Timbre Debit   emmean     SE   df lower.CL upper.CL
 longue   a      rapide -0.0651 0.1110 32.0  -0.2908    0.161
 courte   a      rapide  0.1344 0.1110 32.0  -0.0913    0.360
 longue   e      rapide  0.6870 0.1100 32.1   0.4622    0.912
 courte   e      rapide  0.6605 0.1100 32.1   0.4357    0.885
 longue   o      rapide -1.0337 0.0967 30.4  -1.2311   -0.836
 courte   o      rapide -0.6218 0.0967 30.4  -0.8193   -0.424
 longue   a      moyen  -0.0998 0.1110 32.0  -0.3256    0.126
 courte   a      moyen   0.1209 0.1110 32.0  -0.1048    0.347
 longue   e      moyen   0.7831 0.1100 32.1   0.5583    1.008
 courte   e      moyen   0.7031 0.1100 32.1   0.4783    0.928
 longue   o      moyen  -1.2487 0.0967 30.4  -1.4461   -1.051
 courte   o      moyen  -0.7263 0.0967 30.4  -0.9238   -0.529
 longue   a      lent   -0.1387 0.1110 32.0  -0.3644    0.087
 courte   a      lent    0.1161 0.1110 32.0  -0.1097    0.342
 longue   e      lent    0.8840 0.1100 32.1   0.6592    1.109
 courte   e      lent    0.7625 0.1100 32.1   0.5378    0.987
 longue   o      lent   -1.4113 0.0967 30.4  -1.6088   -1.214
 courte   o      lent   -0.7804 0.0967 30.4  -0.9778   -0.583

Results are averaged over the levels of: Sex 
Degrees-of-freedom method: kenward-roger 
Confidence level used: 0.95 

$contrasts
 contrast                          estimate     SE     df t.ratio p.value
 longue a rapide - courte a rapide -0.19950 0.1270   24.4  -1.569  0.9735
 longue a rapide - longue e rapide -0.75207 0.1280   25.3  -5.856  0.0004
 longue a rapide - courte e rapide -0.72553 0.1280   25.3  -5.650  0.0007
 longue a rapide - longue o rapide  0.96858 0.1500   33.3   6.478  <.0001
 longue a rapide - courte o rapide  0.55676 0.1500   33.3   3.724  0.0561
 longue a rapide - longue a moyen   0.03477 0.0139 7131.0   2.498  0.5320
 longue a rapide - courte a moyen  -0.18596 0.1270   24.4  -1.462  0.9860
 longue a rapide - longue e moyen  -0.84814 0.1280   25.3  -6.605  0.0001
 longue a rapide - courte e moyen  -0.76815 0.1280   25.3  -5.982  0.0003
 longue a rapide - longue o moyen   1.18358 0.1500   33.3   7.916  <.0001
 longue a rapide - courte o moyen   0.66126 0.1500   33.3   4.423  0.0096
 longue a rapide - longue a lent    0.07361 0.0139 7131.0   5.288  <.0001
 longue a rapide - courte a lent   -0.18114 0.1270   24.4  -1.424  0.9891
 longue a rapide - longue e lent   -0.94903 0.1280   25.3  -7.390  <.0001
 longue a rapide - courte e lent   -0.82762 0.1280   25.3  -6.445  0.0001
 longue a rapide - longue o lent    1.34625 0.1500   33.3   9.004  <.0001
 longue a rapide - courte o lent    0.71528 0.1500   33.3   4.784  0.0036
 courte a rapide - longue e rapide -0.55257 0.1280   25.3  -4.303  0.0185
 courte a rapide - courte e rapide -0.52603 0.1280   25.3  -4.096  0.0298
 courte a rapide - longue o rapide  1.16808 0.1500   33.3   7.812  <.0001
 courte a rapide - courte o rapide  0.75626 0.1500   33.3   5.058  0.0017
 courte a rapide - longue a moyen   0.23427 0.1270   24.4   1.842  0.9074
 courte a rapide - courte a moyen   0.01354 0.0139 7131.0   0.973  1.0000
 courte a rapide - longue e moyen  -0.64864 0.1280   25.3  -5.051  0.0031
 courte a rapide - courte e moyen  -0.56865 0.1280   25.3  -4.428  0.0138
 courte a rapide - longue o moyen   1.38308 0.1500   33.3   9.250  <.0001
 courte a rapide - courte o moyen   0.86076 0.1500   33.3   5.757  0.0002
 courte a rapide - longue a lent    0.27311 0.1270   24.4   2.148  0.7667
 courte a rapide - courte a lent    0.01836 0.0139 7131.0   1.319  0.9979
 courte a rapide - longue e lent   -0.74953 0.1280   25.3  -5.837  0.0005
 courte a rapide - courte e lent   -0.62812 0.1280   25.3  -4.891  0.0046
 courte a rapide - longue o lent    1.54575 0.1500   33.3  10.338  <.0001
 courte a rapide - courte o lent    0.91478 0.1500   33.3   6.118  0.0001
 longue e rapide - courte e rapide  0.02654 0.1270   24.4   0.209  1.0000
 longue e rapide - longue o rapide  1.72065 0.1520   33.2  11.357  <.0001
 longue e rapide - courte o rapide  1.30883 0.1520   33.2   8.639  <.0001
 longue e rapide - longue a moyen   0.78684 0.1280   25.3   6.127  0.0002
 longue e rapide - courte a moyen   0.56611 0.1280   25.3   4.408  0.0145
 longue e rapide - longue e moyen  -0.09607 0.0139 7131.0  -6.902  <.0001
 longue e rapide - courte e moyen  -0.01608 0.1270   24.4  -0.126  1.0000
 longue e rapide - longue o moyen   1.93565 0.1520   33.2  12.776  <.0001
 longue e rapide - courte o moyen   1.41333 0.1520   33.2   9.328  <.0001
 longue e rapide - longue a lent    0.82568 0.1280   25.3   6.430  0.0001
 longue e rapide - courte a lent    0.57093 0.1280   25.3   4.446  0.0133
 longue e rapide - longue e lent   -0.19696 0.0139 7131.0 -14.150  <.0001
 longue e rapide - courte e lent   -0.07555 0.1270   24.4  -0.594  1.0000
 longue e rapide - longue o lent    2.09832 0.1520   33.2  13.850  <.0001
 longue e rapide - courte o lent    1.46735 0.1520   33.2   9.685  <.0001
 courte e rapide - longue o rapide  1.69411 0.1520   33.2  11.182  <.0001
 courte e rapide - courte o rapide  1.28229 0.1520   33.2   8.463  <.0001
 courte e rapide - longue a moyen   0.76030 0.1280   25.3   5.921  0.0004
 courte e rapide - courte a moyen   0.53957 0.1280   25.3   4.202  0.0234
 courte e rapide - longue e moyen  -0.12261 0.1270   24.4  -0.964  0.9999
 courte e rapide - courte e moyen  -0.04262 0.0139 7131.0  -3.062  0.1717
 courte e rapide - longue o moyen   1.90912 0.1520   33.2  12.601  <.0001
 courte e rapide - courte o moyen   1.38679 0.1520   33.2   9.153  <.0001
 courte e rapide - longue a lent    0.79914 0.1280   25.3   6.223  0.0002
 courte e rapide - courte a lent    0.54439 0.1280   25.3   4.239  0.0215
 courte e rapide - longue e lent   -0.22350 0.1270   24.4  -1.758  0.9339
 courte e rapide - courte e lent   -0.10209 0.0139 7131.0  -7.334  <.0001
 courte e rapide - longue o lent    2.07179 0.1520   33.2  13.674  <.0001
 courte e rapide - courte o lent    1.44082 0.1520   33.2   9.510  <.0001
 longue o rapide - courte o rapide -0.41182 0.1270   24.4  -3.239  0.1801
 longue o rapide - longue a moyen  -0.93381 0.1500   33.3  -6.245  0.0001
 longue o rapide - courte a moyen  -1.15454 0.1500   33.3  -7.722  <.0001
 longue o rapide - longue e moyen  -1.81672 0.1520   33.2 -11.991  <.0001
 longue o rapide - courte e moyen  -1.73673 0.1520   33.2 -11.463  <.0001
 longue o rapide - longue o moyen   0.21501 0.0139 7131.0  15.446  <.0001
 longue o rapide - courte o moyen  -0.30731 0.1270   24.4  -2.417  0.6030
 longue o rapide - longue a lent   -0.89497 0.1500   33.3  -5.986  0.0001
 longue o rapide - courte a lent   -1.14972 0.1500   33.3  -7.689  <.0001
 longue o rapide - longue e lent   -1.91761 0.1520   33.2 -12.657  <.0001
 longue o rapide - courte e lent   -1.79620 0.1520   33.2 -11.855  <.0001
 longue o rapide - longue o lent    0.37768 0.0139 7131.0  27.133  <.0001
 longue o rapide - courte o lent   -0.25329 0.1270   24.4  -1.992  0.8468
 courte o rapide - longue a moyen  -0.52199 0.1500   33.3  -3.491  0.0953
 courte o rapide - courte a moyen  -0.74272 0.1500   33.3  -4.967  0.0022
 courte o rapide - longue e moyen  -1.40490 0.1520   33.2  -9.273  <.0001
 courte o rapide - courte e moyen  -1.32491 0.1520   33.2  -8.745  <.0001
 courte o rapide - longue o moyen   0.62683 0.1270   24.4   4.929  0.0045
 courte o rapide - courte o moyen   0.10450 0.0139 7131.0   7.508  <.0001
 courte o rapide - longue a lent   -0.48315 0.1500   33.3  -3.231  0.1648
 courte o rapide - courte a lent   -0.73790 0.1500   33.3  -4.935  0.0024
 courte o rapide - longue e lent   -1.50579 0.1520   33.2  -9.939  <.0001
 courte o rapide - courte e lent   -1.38438 0.1520   33.2  -9.137  <.0001
 courte o rapide - longue o lent    0.78950 0.1270   24.4   6.209  0.0002
 courte o rapide - courte o lent    0.15852 0.0139 7131.0  11.389  <.0001
 longue a moyen - courte a moyen   -0.22073 0.1270   24.4  -1.736  0.9398
 longue a moyen - longue e moyen   -0.88291 0.1280   25.3  -6.875  <.0001
 longue a moyen - courte e moyen   -0.80292 0.1280   25.3  -6.252  0.0002
 longue a moyen - longue o moyen    1.14881 0.1500   33.3   7.683  <.0001
 longue a moyen - courte o moyen    0.62649 0.1500   33.3   4.190  0.0177
 longue a moyen - longue a lent     0.03884 0.0139 7131.0   2.790  0.3192
 longue a moyen - courte a lent    -0.21591 0.1270   24.4  -1.698  0.9492
 longue a moyen - longue e lent    -0.98380 0.1280   25.3  -7.661  <.0001
 longue a moyen - courte e lent    -0.86239 0.1280   25.3  -6.716  0.0001
 longue a moyen - longue o lent     1.31148 0.1500   33.3   8.771  <.0001
 longue a moyen - courte o lent     0.68051 0.1500   33.3   4.551  0.0068
 courte a moyen - longue e moyen   -0.66218 0.1280   25.3  -5.156  0.0024
 courte a moyen - courte e moyen   -0.58219 0.1280   25.3  -4.534  0.0108
 courte a moyen - longue o moyen    1.36955 0.1500   33.3   9.160  <.0001
 courte a moyen - courte o moyen    0.84722 0.1500   33.3   5.666  0.0003
 courte a moyen - longue a lent     0.25957 0.1270   24.4   2.041  0.8231
 courte a moyen - courte a lent     0.00482 0.0139 7131.0   0.346  1.0000
 courte a moyen - longue e lent    -0.76307 0.1280   25.3  -5.942  0.0004
 courte a moyen - courte e lent    -0.64166 0.1280   25.3  -4.997  0.0035
 courte a moyen - longue o lent     1.53222 0.1500   33.3  10.248  <.0001
 courte a moyen - courte o lent     0.90125 0.1500   33.3   6.028  0.0001
 longue e moyen - courte e moyen    0.07999 0.1270   24.4   0.629  1.0000
 longue e moyen - longue o moyen    2.03172 0.1520   33.2  13.410  <.0001
 longue e moyen - courte o moyen    1.50940 0.1520   33.2   9.962  <.0001
 longue e moyen - longue a lent     0.92175 0.1280   25.3   7.178  <.0001
 longue e moyen - courte a lent     0.66700 0.1280   25.3   5.194  0.0022
 longue e moyen - longue e lent    -0.10089 0.0139 7131.0  -7.248  <.0001
 longue e moyen - courte e lent     0.02052 0.1270   24.4   0.161  1.0000
 longue e moyen - longue o lent     2.19439 0.1520   33.2  14.484  <.0001
 longue e moyen - courte o lent     1.56342 0.1520   33.2  10.319  <.0001
 courte e moyen - longue o moyen    1.95174 0.1520   33.2  12.882  <.0001
 courte e moyen - courte o moyen    1.42942 0.1520   33.2   9.435  <.0001
 courte e moyen - longue a lent     0.84176 0.1280   25.3   6.555  0.0001
 courte e moyen - courte a lent     0.58701 0.1280   25.3   4.571  0.0099
 courte e moyen - longue e lent    -0.18088 0.1270   24.4  -1.422  0.9892
 courte e moyen - courte e lent    -0.05947 0.0139 7131.0  -4.272  0.0026
 courte e moyen - longue o lent     2.11441 0.1520   33.2  13.956  <.0001
 courte e moyen - courte o lent     1.48344 0.1520   33.2   9.791  <.0001
 longue o moyen - courte o moyen   -0.52232 0.1270   24.4  -4.108  0.0303
 longue o moyen - longue a lent    -1.10998 0.1500   33.3  -7.424  <.0001
 longue o moyen - courte a lent    -1.36472 0.1500   33.3  -9.127  <.0001
 longue o moyen - longue e lent    -2.13262 0.1520   33.2 -14.076  <.0001
 longue o moyen - courte e lent    -2.01121 0.1520   33.2 -13.275  <.0001
 longue o moyen - longue o lent     0.16267 0.0139 7131.0  11.686  <.0001
 longue o moyen - courte o lent    -0.46830 0.1270   24.4  -3.683  0.0756
 courte o moyen - longue a lent    -0.58765 0.1500   33.3  -3.930  0.0341
 courte o moyen - courte a lent    -0.84240 0.1500   33.3  -5.634  0.0003
 courte o moyen - longue e lent    -1.61029 0.1520   33.2 -10.628  <.0001
 courte o moyen - courte e lent    -1.48888 0.1520   33.2  -9.827  <.0001
 courte o moyen - longue o lent     0.68499 0.1270   24.4   5.387  0.0015
 courte o moyen - courte o lent     0.05402 0.0139 7131.0   3.881  0.0127
 longue a lent - courte a lent     -0.25475 0.1270   24.4  -2.003  0.8415
 longue a lent - longue e lent     -1.02264 0.1280   25.3  -7.963  <.0001
 longue a lent - courte e lent     -0.90123 0.1280   25.3  -7.018  <.0001
 longue a lent - longue o lent      1.27265 0.1500   33.3   8.512  <.0001
 longue a lent - courte o lent      0.64168 0.1500   33.3   4.292  0.0136
 courte a lent - longue e lent     -0.76789 0.1280   25.3  -5.980  0.0003
 courte a lent - courte e lent     -0.64648 0.1280   25.3  -5.034  0.0032
 courte a lent - longue o lent      1.52739 0.1500   33.3  10.215  <.0001
 courte a lent - courte o lent      0.89642 0.1500   33.3   5.995  0.0001
 longue e lent - courte e lent      0.12141 0.1270   24.4   0.955  0.9999
 longue e lent - longue o lent      2.29529 0.1520   33.2  15.150  <.0001
 longue e lent - courte o lent      1.66431 0.1520   33.2  10.985  <.0001
 courte e lent - longue o lent      2.17388 0.1520   33.2  14.348  <.0001
 courte e lent - courte o lent      1.54291 0.1520   33.2  10.184  <.0001
 longue o lent - courte o lent     -0.63097 0.1270   24.4  -4.962  0.0042

Results are averaged over the levels of: Sex 
Degrees-of-freedom method: kenward-roger 
P value adjustment: tukey method for comparing a family of 18 estimates 

12 session info

sessionInfo()
R version 4.4.2 (2024-10-31 ucrt)
Platform: x86_64-w64-mingw32/x64
Running under: Windows 10 x64 (build 19045)

Matrix products: default


locale:
[1] LC_COLLATE=English_United Kingdom.utf8  LC_CTYPE=English_United Kingdom.utf8   
[3] LC_MONETARY=English_United Kingdom.utf8 LC_NUMERIC=C                           
[5] LC_TIME=English_United Kingdom.utf8    

time zone: Europe/Paris
tzcode source: internal

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
 [1] htmltools_0.5.8.1 sjPlot_2.8.17     phonR_1.0-7       emmeans_1.10.5    lmerTest_3.1-3   
 [6] lme4_1.1-35.5     Matrix_1.7-1      lubridate_1.9.4   forcats_1.0.0     stringr_1.5.1    
[11] dplyr_1.1.4       purrr_1.0.2       readr_2.1.5       tidyr_1.3.1       tibble_3.2.1     
[16] ggplot2_3.5.1     tidyverse_2.0.0  

loaded via a namespace (and not attached):
 [1] gtable_0.3.6        bayestestR_0.15.0   xfun_0.49           insight_1.0.0       lattice_0.22-6     
 [6] tzdb_0.4.0          numDeriv_2016.8-1.1 sjstats_0.19.0      vctrs_0.6.5         tools_4.4.2        
[11] generics_0.1.3      parallel_4.4.2      pbkrtest_0.5.3      datawizard_0.13.0   sandwich_3.1-1     
[16] fansi_1.0.6         pkgconfig_2.0.3     ggeffects_2.0.0     lifecycle_1.0.4     compiler_4.4.2     
[21] sjmisc_2.8.10       munsell_0.5.1       codetools_0.2-20    yaml_2.3.10         pillar_1.9.0       
[26] nloptr_2.1.1        MASS_7.3-61         rsconnect_1.3.3     boot_1.3-31         multcomp_1.4-26    
[31] nlme_3.1-166        sjlabelled_1.2.0    tidyselect_1.2.1    digest_0.6.37       performance_0.12.4 
[36] mvtnorm_1.3-2       stringi_1.8.4       splines_4.4.2       fastmap_1.2.0       grid_4.4.2         
[41] colorspace_2.1-1    cli_3.6.3           magrittr_2.0.3      survival_3.7-0      utf8_1.2.4         
[46] broom_1.0.7         TH.data_1.1-2       withr_3.0.2         backports_1.5.0     scales_1.3.0       
[51] timechange_0.3.0    estimability_1.5.1  rmarkdown_2.29      zoo_1.8-12          hms_1.1.3          
[56] coda_0.19-4.1       evaluate_1.0.1      knitr_1.49          parameters_0.24.0   rlang_1.1.4        
[61] Rcpp_1.0.13-1       xtable_1.8-4        glue_1.8.0          effectsize_1.0.0    rstudioapi_0.17.1  
[66] minqa_1.2.8         R6_2.5.1           
---
title: "Modelling Arabic data - Results"
author: 
  name: "Jalal Al-Tamimi"
  affiliation: "Université Paris Cité"
date: "`r format(Sys.time(), '%d %B %Y')`"
output: 
  html_notebook:
    number_sections: true
    toc: true
    toc_depth: 6
    toc_float:
      collapsed: true
---


# Loading libraries

```{r}
library(tidyverse)
library(lmerTest)
library(emmeans)
library(phonR)
library(sjPlot)
library(htmltools)
emm_options(pbkrtest.limit = 20000)
options(max.print=1000000)
```

# Read dataset and manipulate

## Read datasets

```{r}
Arabic <- read.csv("SpeakingRate24.csv") 
Vratio <- read.csv("Vratio.csv")
```

## Manipulations

```{r}
Arabic <- subset(Arabic, select = -Arabic_phrase) ### Supprimer la colonne des phrases en arabe pour éviter les problèmes avec PdfLaTex lors de la compilation LaTex R. Sinon, utiliser XeLaTex pour l'écriture arabe. 
Arabic$CVC <- gsub(' ', '', Arabic$CVC)#supprimer les espaces 
Arabic$V <- gsub(' ', '', Arabic$V)#supprimer les espaces
Arabic$Length <- gsub(' ', '', Arabic$Length)#supprimer les espaces 

Arabic$f0ons <- as.integer(gsub('--undefined--', NA, Arabic$f0ons))
Arabic$f0mid <- as.integer(gsub('--undefined--', NA, Arabic$f0mid))
Arabic$f0off <- as.integer(gsub('--undefined--', NA, Arabic$f0off))


Arabic <- dplyr::mutate_if(Arabic, is.character, as.factor) ## Transformer tous les variables de type "character" à des facteurs. 
#Arabic <- filter(Arabic, V!="e:" & V!="o:")
Arabic$V = factor(Arabic$V, levels = c('i','a','u','i:','a:','u:','e:','o:')) ## ordonner l'ordre de l'apparition V
Arabic$C <- factor(Arabic$C, levels=c("b","d","g","t","k")) ## ordonner l'ordre de l'apparition C
Arabic$VOTi <- as.integer(Arabic$VOTi)
#Arabic$Word_V_ratio <- as.numeric(gsub(',', '.', Arabic$Word_V_ratio)) #remplacer les virgules en points dans les nombres décimaux pour pouvoir faire des calculs. 

levels(Arabic$Rate) <- list("rapide" = "fast",        # Change factor levels
                            "moyen" = "normal",
                            "lent" = "slow")
levels(Arabic$Length) <- list("longue" = "long",        # Change factor levels
                              "courte" = "short")
Arabic <- dplyr::rename(Arabic, Debit = Rate, Longueur = Length)

Arabic$F1midnor <- with(Arabic, normLobanov(F1mid)) #normalisation de F1mid et F2mid
Arabic$F2midnor <- with(Arabic, normLobanov(F2mid)) #normalisation de F1mid et F2mid

Vratio <- dplyr::rename(Vratio, Debit = Rate)

### sous-ensemble 1
ArabicSub1 <- Arabic
ArabicSub1 <- ArabicSub1 %>% 
  filter(Timbre %in% c("i", "a", "u")) %>% droplevels()

### sous-ensemble 2
ArabicSub2 <- Arabic
ArabicSub2 <- ArabicSub2 %>% 
  filter(V %in% c("i", "a", "u", "e:", "u:", "a:")) %>% droplevels()

ArabicSub2$Timbre=gsub('i','e', ArabicSub2$Timbre)
ArabicSub2$Timbre=gsub('u','o', ArabicSub2$Timbre)

ArabicSub2$Timbre= as.factor(ArabicSub2$Timbre)
```


 
# Duration

## Optimal model

### Read Rds

```{r}
lm.mod.Optimal <- readRDS("lm.mod.Optimal.Dur.Rds")
```

### Summary

```{r}
summary(lm.mod.Optimal)
```

### Anova 

```{r}
print(anova(lm.mod.Optimal))
```

### Model's fit

```{r}
tab_model(lm.mod.Optimal,file="test.html")
htmltools::includeHTML("test.html")
```


### Evaluating Model's assumptions - normality of residuals

```{r}
qqnorm(residuals(lm.mod.Optimal))
qqline(residuals(lm.mod.Optimal))
```



### Pairwise Comparison


#### Debit

```{r}
if (file.exists(file = "emmDurationDebit.Rds")){
  emmDurationDebit <- readRDS("emmDurationDebit.Rds")
}else{
  emmDurationDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit)
  saveRDS(emmDurationDebit, "emmDurationDebit.Rds")
  emmDurationDebit <- readRDS("emmDurationDebit.Rds")
}
emmDurationDebit
```





#### V

```{r}
if (file.exists(file = "emmDurationV.Rds")){
  emmDurationV <- readRDS("emmDurationV.Rds")
}else{
  emmDurationV <- emmeans(lm.mod.Optimal, specs = pairwise ~ V)
  saveRDS(emmDurationDebit, "emmDurationV.Rds")
  emmDurationV <- readRDS("emmDurationV.Rds")
}
emmDurationV
```




#### Debit x V

```{r}
if (file.exists(file = "emmDurationDebitV.Rds")){
  emmDurationDebitV <- readRDS("emmDurationDebitV.Rds")
}else{
  emmDurationDebitV <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit:V)
  saveRDS(emmDurationDebitV, "emmDurationDebitV.Rds")
  emmDurationDebitV <- readRDS("emmDurationDebitV.Rds")
}
emmDurationDebitV
```



# Vratio

## Optimal model

### Read Rds


```{r}
lm.mod.Optimal <- readRDS("lm.mod.Optimal.Vratio.Rds")
```

### Summary

```{r}
summary(lm.mod.Optimal)
```

### Anova

```{r}
print(anova(lm.mod.Optimal))
```



### Model's fit

```{r}
tab_model(lm.mod.Optimal,file="test.html")
htmltools::includeHTML("test.html")
```


### Evaluating Model's assumptions - normality of residuals

```{r}
qqnorm(residuals(lm.mod.Optimal))
qqline(residuals(lm.mod.Optimal))
```



### Pairwise Comparison


#### Debit

```{r}
if (file.exists(file = "emmVratioDebit.Rds")){
  emmVratioDebit <- readRDS("emmVratioDebit.Rds")
}else{
  emmVratioDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit)
  saveRDS(emmVratioDebit, "emmVratioDebit.Rds")
  emmVratioDebit <- readRDS("emmVratioDebit.Rds")
}
emmVratioDebit
```



#### Timbre

```{r}
if (file.exists(file = "emmVratioTimbre.Rds")){
  emmVratioTimbre <- readRDS("emmVratioTimbre.Rds")
}else{
  emmVratioTimbre <- emmeans(lm.mod.Optimal, specs = pairwise ~  Timbre)
  saveRDS(emmVratioTimbre, "emmVratioTimbre.Rds")
  emmVratioTimbre <- readRDS("emmVratioTimbre.Rds")
}
emmVratioTimbre
```


#### Debit x Timbre

```{r}
if (file.exists(file = "emmVratioDebitTimbre.Rds")){
  emmVratioDebitTimbre <- readRDS("emmVratioDebitTimbre.Rds")
}else{
  emmVratioDebitTimbre <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit:Timbre)
  saveRDS(emmVratioDebitTimbre, "emmVratioDebitTimbre.Rds")
  emmVratioDebitTimbre <- readRDS("emmVratioDebitTimbre.Rds")
}
emmVratioDebitTimbre
```



# Word_V_ratio

## Optimal model

### Read Rds


```{r}
lm.mod.Optimal <- readRDS("lm.mod.Optimal.Word_V_ratio.Rds")
```

### Summary

```{r}
summary(lm.mod.Optimal)
```

### Anova

```{r}
print(anova(lm.mod.Optimal))
```



### Model's fit

```{r}
tab_model(lm.mod.Optimal,file="test.html")
htmltools::includeHTML("test.html")
```



### Evaluating Model's assumptions - normality of residuals

```{r}
qqnorm(residuals(lm.mod.Optimal))
qqline(residuals(lm.mod.Optimal))
```


### Pairwise Comparison



#### Debit

```{r}
if (file.exists(file = "emmWord_V_ratioDebit.Rds")){
  emmWord_V_ratioDebit <- readRDS("emmWord_V_ratioDebit.Rds")
}else{
  emmWord_V_ratioDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit)
  saveRDS(emmWord_V_ratioDebit, "emmWord_V_ratioDebit.Rds")
  emmWord_V_ratioDebit <- readRDS("emmWord_V_ratioDebit.Rds")
}
emmWord_V_ratioDebit
```





#### V

```{r}
if (file.exists(file = "emmWord_V_ratioV.Rds")){
  emmWord_V_ratioV <- readRDS("emmWord_V_ratioV.Rds")
}else{
  emmWord_V_ratioV <- emmeans(lm.mod.Optimal, specs = pairwise ~ V)
  saveRDS(emmWord_V_ratioV, "emmWord_V_ratioV.Rds")
  emmWord_V_ratioV <- readRDS("emmWord_V_ratioV.Rds")
}
emmWord_V_ratioV
```



#### Debit x V

```{r}
if (file.exists(file = "emmWord_V_ratioDebitV.Rds")){
  emmWord_V_ratioDebitV <- readRDS("emmWord_V_ratioDebitV.Rds")
}else{
  emmWord_V_ratioDebitV <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit:V)
  saveRDS(emmWord_V_ratioDebitV, "emmWord_V_ratioDebitV.Rds")
  emmWord_V_ratioDebitV <- readRDS("emmWord_V_ratioDebitV.Rds")
}
emmWord_V_ratioDebitV
```



# F1midnor

## Optimal model

### Read Rds


```{r}
lm.mod.Optimal <- readRDS("lm.mod.Optimal.F1midnor.Rds")
```

### Summary

```{r}
summary(lm.mod.Optimal)
```

### Anova

```{r}
print(anova(lm.mod.Optimal))
```



### Model's fit

```{r}
tab_model(lm.mod.Optimal,file="test.html")
htmltools::includeHTML("test.html")
```


### Evaluating Model's assumptions - normality of residuals

```{r}
qqnorm(residuals(lm.mod.Optimal))
qqline(residuals(lm.mod.Optimal))
```



### Pairwise Comparison


#### Debit

```{r}
if (file.exists(file = "emmF1midnorDebit.Rds")){
  emmF1midnorDebit <- readRDS("emmF1midnorDebit.Rds")
}else{
  emmF1midnorDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit)
  saveRDS(emmF1midnorDebit, "emmF1midnorDebit.Rds")
  emmF1midnorDebit <- readRDS("emmF1midnorDebit.Rds")
}
emmF1midnorDebit
```



#### V

```{r}
if (file.exists(file = "emmF1midnorV.Rds")){
  emmF1midnorV <- readRDS("emmF1midnorV.Rds")
}else{
  emmF1midnorV <- emmeans(lm.mod.Optimal, specs = pairwise ~ V)
  saveRDS(emmF1midnorV, "emmF1midnorV.Rds")
  emmF1midnorV <- readRDS("emmF1midnorV.Rds")
}
emmF1midnorV
```



#### Debit x V

```{r}
if (file.exists(file = "emmF1midnorDebitV.Rds")){
  emmF1midnorDebitV <- readRDS("emmF1midnorDebitV.Rds")
}else{
  emmF1midnorDebitV <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit:V)
  saveRDS(emmF1midnorDebitV, "emmF1midnorDebitV.Rds")
  emmF1midnorDebitV <- readRDS("emmF1midnorDebitV.Rds")
}
emmF1midnorDebitV
```


# F2midnor

## Optimal model

### Read Rds


```{r}
lm.mod.Optimal <- readRDS("lm.mod.Optimal.F2midnor.Rds")
```

### Summary

```{r}
summary(lm.mod.Optimal)
```

### Anova

```{r}
print(anova(lm.mod.Optimal))
```



### Model's fit

```{r}
tab_model(lm.mod.Optimal,file="test.html")
htmltools::includeHTML("test.html")
```



### Evaluating Model's assumptions - normality of residuals

```{r}
qqnorm(residuals(lm.mod.Optimal))
qqline(residuals(lm.mod.Optimal))
```



### Pairwise Comparison


#### Debit

```{r}
if (file.exists(file = "emmF2midnorDebit.Rds")){
  emmF2midnorDebit <- readRDS("emmF2midnorDebit.Rds")
}else{
  emmF2midnorDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit)
  saveRDS(emmF2midnorDebit, "emmF2midnorDebit.Rds")
  emmF2midnorDebit <- readRDS("emmF2midnorDebit.Rds")
}
emmF2midnorDebit
```



#### V

```{r}
if (file.exists(file = "emmF2midnorV.Rds")){
  emmF2midnorV <- readRDS("emmF2midnorV.Rds")
}else{
  emmF2midnorV <- emmeans(lm.mod.Optimal, specs = pairwise ~ V)
  saveRDS(emmF2midnorV, "emmF2midnorV.Rds")
  emmF2midnorV <- readRDS("emmF2midnorV.Rds")
}
emmF2midnorV
```



#### Debit x V

```{r}
if (file.exists(file = "emmF2midnorDebitV.Rds")){
  emmF2midnorDebitV <- readRDS("emmF2midnorDebitV.Rds")
}else{
  emmF2midnorDebitV <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit:V)
  saveRDS(emmF2midnorDebitV, "emmF2midnorDebitV.Rds")
  emmF2midnorDebitV <- readRDS("emmF2midnorDebitV.Rds")
}
emmF2midnorDebitV
```


# F1midnor - Subset 1 - Timbre

## Optimal model

### Read Rds


```{r}
lm.mod.Optimal <- readRDS("lm.mod.Optimal.F1midnorTimbreSub.Rds")
```

### Summary

```{r}
summary(lm.mod.Optimal)
```

### Anova

```{r}
print(anova(lm.mod.Optimal))
```



### Model's fit

```{r}
tab_model(lm.mod.Optimal,file="test.html")
htmltools::includeHTML("test.html")
```


### Evaluating Model's assumptions - normality of residuals

```{r}
qqnorm(residuals(lm.mod.Optimal))
qqline(residuals(lm.mod.Optimal))
```


### Pairwise Comparison


#### Debit

```{r}
if (file.exists(file = "emmF1Sub1Debit.Rds")){
  emmF1Sub1Debit <- readRDS("emmF1Sub1Debit.Rds")
}else{
  emmF1Sub1Debit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit)
  saveRDS(emmF1Sub1Debit, "emmF1Sub1Debit.Rds")
  emmF1Sub1Debit <- readRDS("emmF1Sub1Debit.Rds")
}
emmF1Sub1Debit
```


#### Timbre

```{r}
if (file.exists(file = "emmF1Sub1Timbre.Rds")){
  emmF1Sub1Timbre <- readRDS("emmF1Sub1Timbre.Rds")
}else{
  emmF1Sub1Timbre <- emmeans(lm.mod.Optimal, specs = pairwise ~ Timbre)
  saveRDS(emmF1Sub1Timbre, "emmF1Sub1Timbre.Rds")
  emmF1Sub1Timbre <- readRDS("emmF1Sub1Timbre.Rds")
}
emmF1Sub1Timbre
```


#### Longueur

```{r}
if (file.exists(file = "emmF1Sub1Longueur.Rds")){
  emmF1Sub1Longueur <- readRDS("emmF1Sub1Longueur.Rds")
}else{
  emmF1Sub1Longueur <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur)
  saveRDS(emmF1Sub1Longueur, "emmF1Sub1Longueur.Rds")
  emmF1Sub1Longueur <- readRDS("emmF1Sub1Longueur.Rds")
}
emmF1Sub1Longueur
```



#### Longueur x Timbre

```{r}
if (file.exists(file = "emmF1Sub1LongueurTimbre.Rds")){
  emmF1Sub1LongueurTimbre <- readRDS("emmF1Sub1LongueurTimbre.Rds")
}else{
  emmF1Sub1LongueurTimbre <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Timbre)
  saveRDS(emmF1Sub1LongueurTimbre, "emmF1Sub1LongueurTimbre.Rds")
  emmF1Sub1LongueurTimbre <- readRDS("emmF1Sub1LongueurTimbre.Rds")
}
emmF1Sub1LongueurTimbre
```


#### Longueur x Debit

```{r}
if (file.exists(file = "emmF1Sub1LongueurDebit.Rds")){
  emmF1Sub1LongueurDebit <- readRDS("emmF1Sub1LongueurDebit.Rds")
}else{
  emmF1Sub1LongueurDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Debit)
  saveRDS(emmF1Sub1LongueurDebit, "emmF1Sub1LongueurDebit.Rds")
  emmF1Sub1LongueurDebit <- readRDS("emmF1Sub1LongueurDebit.Rds")
}
emmF1Sub1LongueurDebit
```


#### Timbre x Debit

```{r}
if (file.exists(file = "emmF1Sub1TimbreDebit.Rds")){
  emmF1Sub1TimbreDebit <- readRDS("emmF1Sub1TimbreDebit.Rds")
}else{
  emmF1Sub1TimbreDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Timbre:Debit)
  saveRDS(emmF1Sub1TimbreDebit, "emmF1Sub1TimbreDebit.Rds")
  emmF1Sub1TimbreDebit <- readRDS("emmF1Sub1TimbreDebit.Rds")
}
emmF1Sub1TimbreDebit
```




#### Longueur x Timbre x Debit

```{r}
if (file.exists(file = "emmF1Sub1LongueurTimbreDebit.Rds")){
  emmF1Sub1LongueurTimbreDebit <- readRDS("emmF1Sub1LongueurTimbreDebit.Rds")
}else{
  emmF1Sub1LongueurTimbreDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Timbre:Debit)
  saveRDS(emmF1Sub1LongueurTimbreDebit, "emmF1Sub1LongueurTimbreDebit.Rds")
  emmF1Sub1LongueurTimbreDebit <- readRDS("emmF1Sub1LongueurTimbreDebit.Rds")
}
emmF1Sub1LongueurTimbreDebit
```





# F2midnor - Subset 1 - Timbre

## Optimal model

### Read Rds


```{r}
lm.mod.Optimal <- readRDS("lm.mod.Optimal.F2midnorTimbreSub.Rds")
```

### Summary

```{r}
summary(lm.mod.Optimal)
```

### Anova

```{r}
print(anova(lm.mod.Optimal))
```



### Model's fit

```{r}
tab_model(lm.mod.Optimal,file="test.html")
htmltools::includeHTML("test.html")
```



### Evaluating Model's assumptions - normality of residuals

```{r}
qqnorm(residuals(lm.mod.Optimal))
qqline(residuals(lm.mod.Optimal))
```



### Pairwise Comparison

#### Debit

```{r}
if (file.exists(file = "emmF2Sub1Debit.Rds")){
  emmF2Sub1Debit <- readRDS("emmF2Sub1Debit.Rds")
}else{
  emmF2Sub1Debit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit)
  saveRDS(emmF2Sub1Debit, "emmF2Sub1Debit.Rds")
  emmF2Sub1Debit <- readRDS("emmF2Sub1Debit.Rds")
}
emmF2Sub1Debit
```



#### Timbre

```{r}
if (file.exists(file = "emmF2Sub1Timbre.Rds")){
  emmF2Sub1Timbre <- readRDS("emmF2Sub1Timbre.Rds")
}else{
  emmF2Sub1Timbre <- emmeans(lm.mod.Optimal, specs = pairwise ~ Timbre)
  saveRDS(emmF2Sub1Timbre, "emmF2Sub1Timbre.Rds")
  emmF2Sub1Timbre <- readRDS("emmF2Sub1Timbre.Rds")
}
emmF2Sub1Timbre
```



#### Longueur

```{r}
if (file.exists(file = "emmF2Sub1Longueur.Rds")){
  emmF2Sub1Longueur <- readRDS("emmF2Sub1Longueur.Rds")
}else{
  emmF2Sub1Longueur <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur)
  saveRDS(emmF2Sub1Longueur, "emmF2Sub1Longueur.Rds")
  emmF2Sub1Longueur <- readRDS("emmF2Sub1Longueur.Rds")
}
emmF2Sub1Longueur
```



#### Longueur x Timbre

```{r}
if (file.exists(file = "emmF2Sub1LongueurTimbre.Rds")){
  emmF2Sub1LongueurTimbre <- readRDS("emmF2Sub1LongueurTimbre.Rds")
}else{
  emmF2Sub1LongueurTimbre <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Timbre)
  saveRDS(emmF2Sub1LongueurTimbre, "emmF2Sub1LongueurTimbre.Rds")
  emmF2Sub1LongueurTimbre <- readRDS("emmF2Sub1LongueurTimbre.Rds")
}
emmF2Sub1LongueurTimbre
```



#### Longueur x Debit

```{r}
if (file.exists(file = "emmF2Sub1LongueurDebit.Rds")){
  emmF2Sub1LongueurDebit <- readRDS("emmF2Sub1LongueurDebit.Rds")
}else{
  emmF2Sub1LongueurDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Debit)
  saveRDS(emmF2Sub1LongueurDebit, "emmF2Sub1LongueurDebit.Rds")
  emmF2Sub1LongueurDebit <- readRDS("emmF2Sub1LongueurDebit.Rds")
}
emmF2Sub1LongueurDebit
```



#### Timbre x Debit

```{r}
if (file.exists(file = "emmF2Sub1TimbreDebit.Rds")){
  emmF2Sub1TimbreDebit <- readRDS("emmF2Sub1TimbreDebit.Rds")
}else{
  emmF2Sub1TimbreDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Timbre:Debit)
  saveRDS(emmF2Sub1TimbreDebit, "emmF2Sub1TimbreDebit.Rds")
  emmF2Sub1TimbreDebit <- readRDS("emmF2Sub1TimbreDebit.Rds")
}
emmF2Sub1TimbreDebit
```



#### Longueur x Timbre x Debit

```{r}
if (file.exists(file = "emmF2Sub1LongueurTimbreDebit.Rds")){
  emmF2Sub1LongueurTimbreDebit <- readRDS("emmF2Sub1LongueurTimbreDebit.Rds")
}else{
  emmF2Sub1LongueurTimbreDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Timbre:Debit)
  saveRDS(emmF2Sub1LongueurTimbreDebit, "emmF2Sub1LongueurTimbreDebit.Rds")
  emmF2Sub1LongueurTimbreDebit <- readRDS("emmF2Sub1LongueurTimbreDebit.Rds")
}
emmF2Sub1LongueurTimbreDebit
```




# F1midnor - Subset 2 - Timbre

## Optimal model

### Read Rds


```{r}
lm.mod.Optimal <- readRDS("lm.mod.Optimal.F1midnorTimbreSub2.Rds")
```

### Summary

```{r}
summary(lm.mod.Optimal)
```

### Anova

```{r}
print(anova(lm.mod.Optimal))
```



### Model's fit

```{r}
tab_model(lm.mod.Optimal,file="test.html")
htmltools::includeHTML("test.html")
```



### Evaluating Model's assumptions - normality of residuals

```{r}
qqnorm(residuals(lm.mod.Optimal))
qqline(residuals(lm.mod.Optimal))
```



### Pairwise Comparison

#### Debit

```{r}
if (file.exists(file = "emmF1Sub2Debit.Rds")){
  emmF1Sub2Debit <- readRDS("emmF1Sub2Debit.Rds")
}else{
  emmF1Sub2Debit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit)
  saveRDS(emmF1Sub2Debit, "emmF1Sub2Debit.Rds")
  emmF1Sub2Debit <- readRDS("emmF1Sub2Debit.Rds")
}
emmF1Sub2Debit
```


#### Timbre

```{r}
if (file.exists(file = "emmF1Sub2Timbre.Rds")){
  emmF1Sub2Timbre <- readRDS("emmF1Sub2Timbre.Rds")
}else{
  emmF1Sub2Timbre <- emmeans(lm.mod.Optimal, specs = pairwise ~ Timbre)
  saveRDS(emmF1Sub2Timbre, "emmF1Sub2Timbre.Rds")
  emmF1Sub2Timbre <- readRDS("emmF1Sub2Timbre.Rds")
}
emmF1Sub2Timbre
```



#### Longueur

```{r}
if (file.exists(file = "emmF1Sub2Longueur.Rds")){
  emmF1Sub2Longueur <- readRDS("emmF1Sub2Longueur.Rds")
}else{
  emmF1Sub2Longueur <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur)
  saveRDS(emmF1Sub2Longueur, "emmF1Sub2Longueur.Rds")
  emmF1Sub2Longueur <- readRDS("emmF1Sub2Longueur.Rds")
}
emmF1Sub2Longueur
```



#### Longueur x Timbre

```{r}
if (file.exists(file = "emmF1Sub2LongueurTimbre.Rds")){
  emmF1Sub2LongueurTimbre <- readRDS("emmF1Sub2LongueurTimbre.Rds")
}else{
  emmF1Sub2LongueurTimbre <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Timbre)
  saveRDS(emmF1Sub2LongueurTimbre, "emmF1Sub2LongueurTimbre.Rds")
  emmF1Sub2LongueurTimbre <- readRDS("emmF1Sub2LongueurTimbre.Rds")
}
emmF1Sub2LongueurTimbre
```



#### Longueur x Debit

```{r}
if (file.exists(file = "emmF1Sub2LongueurDebit.Rds")){
  emmF1Sub2LongueurDebit <- readRDS("emmF1Sub2LongueurDebit.Rds")
}else{
  emmF1Sub2LongueurDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Debit)
  saveRDS(emmF1Sub2LongueurDebit, "emmF1Sub2LongueurDebit.Rds")
  emmF1Sub2LongueurDebit <- readRDS("emmF1Sub2LongueurDebit.Rds")
}
emmF1Sub2LongueurDebit
```



#### Timbre x Debit

```{r}
if (file.exists(file = "emmF1Sub2TimbreDebit.Rds")){
  emmF1Sub2TimbreDebit <- readRDS("emmF1Sub2TimbreDebit.Rds")
}else{
  emmF1Sub2TimbreDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Timbre:Debit)
  saveRDS(emmF1Sub2TimbreDebit, "emmF1Sub2TimbreDebit.Rds")
  emmF1Sub2TimbreDebit <- readRDS("emmF1Sub2TimbreDebit.Rds")
}
emmF1Sub2TimbreDebit
```



#### Longueur x Timbre x Debit

```{r}
if (file.exists(file = "emmF1Sub2LongueurTimbreDebit.Rds")){
  emmF1Sub2LongueurTimbreDebit <- readRDS("emmF1Sub2LongueurTimbreDebit.Rds")
}else{
  emmF1Sub2LongueurTimbreDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Timbre:Debit)
  saveRDS(emmF1Sub2LongueurTimbreDebit, "emmF1Sub2LongueurTimbreDebit.Rds")
  emmF1Sub2LongueurTimbreDebit <- readRDS("emmF1Sub2LongueurTimbreDebit.Rds")
}
emmF1Sub2LongueurTimbreDebit
```



# F2midnor - Subset 2 - Timbre

## Optimal model

### Read Rds


```{r}
lm.mod.Optimal <- readRDS("lm.mod.Optimal.F2midnorTimbreSub2.Rds")
```

### Summary

```{r}
summary(lm.mod.Optimal)
```

### Anova

```{r}
print(anova(lm.mod.Optimal))
```



### Model's fit

```{r}
tab_model(lm.mod.Optimal,file="test.html")
htmltools::includeHTML("test.html")
```


### Evaluating Model's assumptions - normality of residuals

```{r}
qqnorm(residuals(lm.mod.Optimal))
qqline(residuals(lm.mod.Optimal))
```


### Pairwise Comparison

#### Debit

```{r}
if (file.exists(file = "emmF2Sub2Debit.Rds")){
  emmF2Sub2Debit <- readRDS("emmF2Sub2Debit.Rds")
}else{
  emmF2Sub2Debit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Debit)
  saveRDS(emmF2Sub2Debit, "emmF2Sub2Debit.Rds")
  emmF2Sub2Debit <- readRDS("emmF2Sub2Debit.Rds")
}
emmF2Sub2Debit
```


#### Timbre

```{r}
if (file.exists(file = "emmF2Sub2Timbre.Rds")){
  emmF2Sub2Timbre <- readRDS("emmF2Sub2Timbre.Rds")
}else{
  emmF2Sub2Timbre <- emmeans(lm.mod.Optimal, specs = pairwise ~ Timbre)
  saveRDS(emmF2Sub2Timbre, "emmF2Sub2Timbre.Rds")
  emmF2Sub2Timbre <- readRDS("emmF2Sub2Timbre.Rds")
}
emmF2Sub2Timbre
```


#### Longueur

```{r}
if (file.exists(file = "emmF2Sub2Longueur.Rds")){
  emmF2Sub2Longueur <- readRDS("emmF2Sub2Longueur.Rds")
}else{
  emmF2Sub2Longueur <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur)
  saveRDS(emmF2Sub2Longueur, "emmF2Sub2Longueur.Rds")
  emmF2Sub2Longueur <- readRDS("emmF2Sub2Longueur.Rds")
}
emmF2Sub2Longueur
```


#### Longueur x Timbre

```{r}
if (file.exists(file = "emmF2Sub2LongueurTimbre.Rds")){
  emmF2Sub2LongueurTimbre <- readRDS("emmF2Sub2LongueurTimbre.Rds")
}else{
  emmF2Sub2LongueurTimbre <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Timbre)
  saveRDS(emmF2Sub2LongueurTimbre, "emmF2Sub2LongueurTimbre.Rds")
  emmF2Sub2LongueurTimbre <- readRDS("emmF2Sub2LongueurTimbre.Rds")
}
emmF2Sub2LongueurTimbre
```



#### Longueur x Debit

```{r}
if (file.exists(file = "emmF2Sub2LongueurDebit.Rds")){
  emmF2Sub2LongueurDebit <- readRDS("emmF2Sub2LongueurDebit.Rds")
}else{
  emmF2Sub2LongueurDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Debit)
  saveRDS(emmF2Sub2LongueurDebit, "emmF2Sub2LongueurDebit.Rds")
  emmF2Sub2LongueurDebit <- readRDS("emmF2Sub2LongueurDebit.Rds")
}
emmF2Sub2LongueurDebit
```



#### Timbre x Debit

```{r}
if (file.exists(file = "emmF2Sub2TimbreDebit.Rds")){
  emmF2Sub2TimbreDebit <- readRDS("emmF2Sub2TimbreDebit.Rds")
}else{
  emmF2Sub2TimbreDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Timbre:Debit)
  saveRDS(emmF2Sub2TimbreDebit, "emmF2Sub2TimbreDebit.Rds")
  emmF2Sub2TimbreDebit <- readRDS("emmF2Sub2TimbreDebit.Rds")
}
emmF2Sub2TimbreDebit
```



#### Longueur x Timbre x Debit

```{r}
if (file.exists(file = "emmF2Sub2LongueurTimbreDebit.Rds")){
  emmF2Sub2LongueurTimbreDebit <- readRDS("emmF2Sub2LongueurTimbreDebit.Rds")
}else{
  emmF2Sub2LongueurTimbreDebit <- emmeans(lm.mod.Optimal, specs = pairwise ~ Longueur:Timbre:Debit)
  saveRDS(emmF2Sub2LongueurTimbreDebit, "emmF2Sub2LongueurTimbreDebit.Rds")
  emmF2Sub2LongueurTimbreDebit <- readRDS("emmF2Sub2LongueurTimbreDebit.Rds")
}
emmF2Sub2LongueurTimbreDebit
```



# session info

```{r warning=FALSE, message=FALSE, error=FALSE}
sessionInfo()
```
