## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: PA_avg ~ pre_ema_RE + (1 | subject)
##    Data: df
## 
## REML criterion at convergence: 31474.5
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.3963 -0.5650  0.0435  0.6169  3.8597 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  subject  (Intercept) 107.7    10.38   
##  Residual             275.5    16.60   
## Number of obs: 3687, groups:  subject, 126
## 
## Fixed effects:
##              Estimate Std. Error        df t value            Pr(>|t|)    
## (Intercept)   50.6873     1.0880  179.6046  46.589 <0.0000000000000002 ***
## pre_ema_RE     0.6489     0.3035 3632.0611   2.138              0.0326 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##            (Intr)
## pre_ema_RE -0.418
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: PA_avg ~ post_ema_RE + (1 | subject)
##    Data: df
## 
## REML criterion at convergence: 31469.7
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.3576 -0.5617  0.0524  0.6161  3.9030 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  subject  (Intercept) 107.5    10.37   
##  Residual             275.1    16.59   
## Number of obs: 3687, groups:  subject, 126
## 
## Fixed effects:
##              Estimate Std. Error        df t value             Pr(>|t|)    
## (Intercept)   50.3133     1.0766  172.0256  46.735 < 0.0000000000000002 ***
## post_ema_RE    0.7277     0.2320 3624.7552   3.137              0.00172 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr)
## post_ema_RE -0.399
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: post_reveal_entropy ~ actual_grade + PE + PA_BC_mean + (1 | subject)
##    Data: df
## 
## REML criterion at convergence: 687.4
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -2.7959 -0.6607 -0.0511  0.5899  4.5083 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  subject  (Intercept) 0.006714 0.08194 
##  Residual             0.298858 0.54668 
## Number of obs: 396, groups:  subject, 122
## 
## Fixed effects:
##                Estimate Std. Error         df t value         Pr(>|t|)    
## (Intercept)    1.154264   0.155012 253.192732   7.446 0.00000000000151 ***
## actual_grade   0.003634   0.002063 246.044899   1.761          0.07949 .  
## PE            -0.002085   0.002624 369.052345  -0.795          0.42728    
## PA_BC_mean     0.004491   0.001670 388.490665   2.689          0.00747 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) actl_g PE    
## actual_grad -0.983              
## PE           0.455 -0.466       
## PA_BC_mean   0.319 -0.302 -0.166
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: post_reveal_entropy ~ actual_grade + PE + PA_initial_Displacement +  
##     (1 | subject)
##    Data: df
## 
## REML criterion at convergence: 687.2
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -2.5972 -0.6719 -0.0573  0.6149  4.7704 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  subject  (Intercept) 0.001201 0.03465 
##  Residual             0.308847 0.55574 
## Number of obs: 392, groups:  subject, 120
## 
## Fixed effects:
##                           Estimate Std. Error         df t value       Pr(>|t|)
## (Intercept)               1.055874   0.157715 252.245524   6.695 0.000000000139
## actual_grade              0.004950   0.002065 240.546648   2.397         0.0173
## PE                       -0.001854   0.002685 355.991381  -0.691         0.4903
## PA_initial_Displacement   0.001100   0.001276 385.580438   0.862         0.3891
##                            
## (Intercept)             ***
## actual_grade            *  
## PE                         
## PA_initial_Displacement    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) actl_g PE    
## actual_grad -0.982              
## PE           0.426 -0.454       
## PA_ntl_Dspl  0.334 -0.275 -0.231
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: (post_reveal_entropy - mean_re) ~ actual_grade + PE + PA_BC_mean +  
##     (1 | subject)
##    Data: df
## 
## REML criterion at convergence: 719.2
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -2.6441 -0.5865 -0.0239  0.5243  4.7644 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  subject  (Intercept) 0.03838  0.1959  
##  Residual             0.29819  0.5461  
## Number of obs: 396, groups:  subject, 122
## 
## Fixed effects:
##                Estimate Std. Error         df t value          Pr(>|t|)    
## (Intercept)   -1.320660   0.168764 288.993891  -7.825 0.000000000000096 ***
## actual_grade   0.003824   0.002250 284.221108   1.699           0.09036 .  
## PE            -0.002348   0.002767 385.753964  -0.848           0.39670    
## PA_BC_mean     0.005581   0.001743 391.635471   3.203           0.00147 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) actl_g PE    
## actual_grad -0.980              
## PE           0.457 -0.468       
## PA_BC_mean   0.330 -0.313 -0.158
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: 
## (post_reveal_entropy - mean_re) ~ actual_grade + PE + PA_initial_Displacement +  
##     (1 | subject)
##    Data: df
## 
## REML criterion at convergence: 722
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -2.4528 -0.5901 -0.0447  0.5679  5.0610 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  subject  (Intercept) 0.03568  0.1889  
##  Residual             0.30807  0.5550  
## Number of obs: 392, groups:  subject, 120
## 
## Fixed effects:
##                           Estimate Std. Error         df t value
## (Intercept)              -1.455479   0.173061 288.188230  -8.410
## actual_grade              0.005568   0.002273 279.818879   2.450
## PE                       -0.001481   0.002855 378.546272  -0.519
## PA_initial_Displacement   0.000911   0.001321 374.573582   0.689
##                                    Pr(>|t|)    
## (Intercept)             0.00000000000000192 ***
## actual_grade                         0.0149 *  
## PE                                   0.6041    
## PA_initial_Displacement              0.4910    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) actl_g PE    
## actual_grad -0.979              
## PE           0.431 -0.457       
## PA_ntl_Dspl  0.334 -0.279 -0.229
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: post_reveal_entropy ~ actual_grade + PE + (1 | subject)
##    Data: df
## 
## REML criterion at convergence: 720.7
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -2.5093 -0.6715 -0.0334  0.5871  4.8316 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  subject  (Intercept) 0.007002 0.08368 
##  Residual             0.299932 0.54766 
## Number of obs: 421, groups:  subject, 125
## 
## Fixed effects:
##                Estimate Std. Error         df t value           Pr(>|t|)    
## (Intercept)    1.118164   0.138706 247.021941   8.061 0.0000000000000325 ***
## actual_grade   0.004104   0.001870 242.230881   2.195             0.0291 *  
## PE             0.001088   0.002480 386.033213   0.439             0.6611    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) actl_g
## actual_grad -0.980       
## PE           0.511 -0.517
## Linear mixed model fit by REML. t-tests use Satterthwaite's method [
## lmerModLmerTest]
## Formula: (post_reveal_entropy - mean_re) ~ actual_grade + PE + (1 | subject)
##    Data: df
## 
## REML criterion at convergence: 766.2
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -2.2323 -0.6458 -0.0336  0.5638  5.0083 
## 
## Random effects:
##  Groups   Name        Variance Std.Dev.
##  subject  (Intercept) 0.0535   0.2313  
##  Residual             0.2982   0.5460  
## Number of obs: 421, groups:  subject, 125
## 
## Fixed effects:
##                Estimate Std. Error         df t value            Pr(>|t|)    
## (Intercept)   -1.412418   0.156570 301.027137  -9.021 <0.0000000000000002 ***
## actual_grade   0.005086   0.002113 300.999726   2.408              0.0167 *  
## PE             0.001048   0.002669 411.102678   0.393              0.6948    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Correlation of Fixed Effects:
##             (Intr) actl_g
## actual_grad -0.976       
## PE           0.519 -0.526