Mixed linear stats - AutoRPT

#Import libraries and dataset:

Tided data:

#Create durations:
tided.CF <- CF %>%
  mutate(
    WordDuration  = WordEnd - WordStart,
    PhoneDuration = PhoneEnd - PhoneStart
  )

# Keep only rows where annotators made decisions
TP <- tided.CF %>% filter(!is.na(Prominence))
TB <- tided.CF %>% filter(!is.na(Boundary))

#Scale predictors
TP <- TP %>%
  mutate(across(c(Pitch_Prominence, Intensity_Prominence, WordDuration), scale))

TB <- TB %>%
  mutate(across(c(Pitch_Boundary, Intensity_Boundary, Silence_Boundary, PhoneDuration), scale))

Mixed Model for Prominence:

prom.model <- lmer(
  Prominence ~ Pitch_Prominence + Intensity_Prominence + WordDuration +
    (1 | Speaker) + (1 | Annotator),
  data = TP
)

summary(prom.model)

Linear mixed model fit by REML ['lmerMod']
Formula: Prominence ~ Pitch_Prominence + Intensity_Prominence + WordDuration +  
    (1 | Speaker) + (1 | Annotator)
   Data: TP

REML criterion at convergence: -490593.8

Scaled residuals: 
     Min       1Q   Median       3Q      Max 
-1.78378 -0.86425 -0.00702  0.86096  1.81577 

Random effects:
 Groups    Name        Variance  Std.Dev. 
 Speaker   (Intercept) 1.664e-08 1.290e-04
 Annotator (Intercept) 9.897e-10 3.146e-05
 Residual              8.344e-06 2.889e-03
Number of obs: 55409, groups:  Speaker, 32; Annotator, 5

Fixed effects:
                       Estimate Std. Error  t value
(Intercept)           5.642e-01  3.672e-05 15363.91
Pitch_Prominence      1.741e-01  2.444e-05  7123.95
Intensity_Prominence  1.555e-01  2.514e-05  6184.03
WordDuration         -2.055e-05  1.995e-05    -1.03

Correlation of Fixed Effects:
            (Intr) Ptch_P Intn_P
Ptch_Prmnnc -0.191              
Intnsty_Prm  0.070 -0.639       
WordDuratin  0.056 -0.175 -0.465

Mixed Model for Boundary:

bound.model <- lmer(
  Prominence ~ Pitch_Prominence + Intensity_Prominence + WordDuration +
    (1 | Speaker) + (1 | Annotator),
  data = TB
)

summary(bound.model)

Linear mixed model fit by REML ['lmerMod']
Formula: Prominence ~ Pitch_Prominence + Intensity_Prominence + WordDuration +  
    (1 | Speaker) + (1 | Annotator)
   Data: TB

REML criterion at convergence: -490601.8

Scaled residuals: 
     Min       1Q   Median       3Q      Max 
-1.78378 -0.86425 -0.00702  0.86096  1.81577 

Random effects:
 Groups    Name        Variance  Std.Dev. 
 Speaker   (Intercept) 1.664e-08 1.290e-04
 Annotator (Intercept) 9.897e-10 3.146e-05
 Residual              8.344e-06 2.889e-03
Number of obs: 55409, groups:  Speaker, 32; Annotator, 5

Fixed effects:
                       Estimate Std. Error  t value
(Intercept)          -1.323e-05  4.745e-05   -0.279
Pitch_Prominence      5.001e-01  7.020e-05 7123.949
Intensity_Prominence  4.999e-01  8.085e-05 6184.027
WordDuration         -1.231e-04  1.195e-04   -1.030

Correlation of Fixed Effects:
            (Intr) Ptch_P Intn_P
Ptch_Prmnnc -0.389              
Intnsty_Prm  0.116 -0.639       
WordDuratin -0.118 -0.175 -0.465