Executive Networks — Stress has a significant main impact on Executive Network

We target:
1. Is there a main effect of Anxiety level (Low/High) on Executive Network?
2. Is there a main effect of Depression level (Low/High) on Executive Network?
3. Is there a main effect of Stress level (Low/High) on Executive Network? — YES
4. Is there an interaction effect between Anxiety and Depression level on Executive Network?
5. Is there an interaction effect between Anxiety and Stress level on Executive Network?
6. Is there an interaction effect between Stress and Depression level on Executive Network?
7. Is there an interaction effect between Anxiety, Stress, and Depression level on Executive Network?

##                                                   Df Sum Sq Mean Sq F value
## Stress.Level.2                                     1  24757   24757   4.102
## Anxiety.Level.2                                    1   6073    6073   1.006
## Depression.Level.2                                 1  14563   14563   2.413
## Stress.Level.2:Anxiety.Level.2                     1    280     280   0.046
## Stress.Level.2:Depression.Level.2                  1   1006    1006   0.167
## Anxiety.Level.2:Depression.Level.2                 1    274     274   0.045
## Stress.Level.2:Anxiety.Level.2:Depression.Level.2  1    968     968   0.160
## Residuals                                         47 283650    6035        
##                                                   Pr(>F)  
## Stress.Level.2                                    0.0485 *
## Anxiety.Level.2                                   0.3209  
## Depression.Level.2                                0.1270  
## Stress.Level.2:Anxiety.Level.2                    0.8303  
## Stress.Level.2:Depression.Level.2                 0.6849  
## Anxiety.Level.2:Depression.Level.2                0.8321  
## Stress.Level.2:Anxiety.Level.2:Depression.Level.2 0.6907  
## Residuals                                                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Descriptive Statistics

## # A tibble: 2 × 4
##   Stress.Level.2     N  Mean    SD
##   <fct>          <int> <dbl> <dbl>
## 1 LOW               27  148.  79.8
## 2 HIGH              28  190.  72.3

Boxplot

Error Bar Plot

A Factorial ANOVA indicated that there is a significant difference in Executive Networks between High Stress (M = 190.34, SD = 72.30) and Low Stress (M = 147.90, SD = 79.82), F(1, 47) = 4.102, p < 0.05, eta-squared = 0.0802738. No other main effect or interaction were found.

D Prime — Stress has a significant main impact on D Prime.

We target:
1. Is there a main effect of Anxiety level (Low/High) on D Prime?
2. Is there a main effect of Depression level (Low/High) on D Prime?
3. Is there a main effect of Stress level (Low/High) on D Prime? — YES
4. Is there an interaction effect between Anxiety and Depression level on D Prime?
5. Is there an interaction effect between Anxiety and Stress level on D Prime?
6. Is there an interaction effect between Stress and Depression level on D Prime?
7. Is there an interaction effect between Anxiety, Stress, and Depression level on D Prime?

##                                                   Df Sum Sq Mean Sq F value
## Stress.Level.2                                     1  1.317  1.3170   4.972
## Anxiety.Level.2                                    1  0.003  0.0034   0.013
## Depression.Level.2                                 1  0.298  0.2985   1.127
## Stress.Level.2:Anxiety.Level.2                     1  0.094  0.0943   0.356
## Stress.Level.2:Depression.Level.2                  1  0.014  0.0139   0.053
## Anxiety.Level.2:Depression.Level.2                 1  0.813  0.8129   3.069
## Stress.Level.2:Anxiety.Level.2:Depression.Level.2  1  0.000  0.0001   0.000
## Residuals                                         46 12.186  0.2649        
##                                                   Pr(>F)  
## Stress.Level.2                                    0.0307 *
## Anxiety.Level.2                                   0.9107  
## Depression.Level.2                                0.2940  
## Stress.Level.2:Anxiety.Level.2                    0.5536  
## Stress.Level.2:Depression.Level.2                 0.8198  
## Anxiety.Level.2:Depression.Level.2                0.0865 .
## Stress.Level.2:Anxiety.Level.2:Depression.Level.2 0.9888  
## Residuals                                                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 1 observation deleted due to missingness
## 
## 
## Table 2 
## 
## ANOVA results
##  
## 
##                                              Predictor df_num df_den SS_num
##                                         Stress.Level.2      1     46   1.32
##                                        Anxiety.Level.2      1     46   0.00
##                                     Depression.Level.2      1     46   0.30
##                       Stress.Level.2 x Anxiety.Level.2      1     46   0.09
##                    Stress.Level.2 x Depression.Level.2      1     46   0.01
##                   Anxiety.Level.2 x Depression.Level.2      1     46   0.81
##  Stress.Level.2 x Anxiety.Level.2 x Depression.Level.2      1     46   0.00
##  SS_den    F    p ges
##   12.19 4.97 .031 .10
##   12.19 0.01 .911 .00
##   12.19 1.13 .294 .02
##   12.19 0.36 .554 .01
##   12.19 0.05 .820 .00
##   12.19 3.07 .086 .06
##   12.19 0.00 .989 .00
## 
## Note. df_num indicates degrees of freedom numerator. df_den indicates degrees of freedom denominator. 
## SS_num indicates sum of squares numerator. SS_den indicates sum of squares denominator. 
## ges indicates generalized eta-squared.
##

Descriptive Statistics

## # A tibble: 2 × 4
##   Stress.Level.2     N  Mean    SD
##   <fct>          <int> <dbl> <dbl>
## 1 LOW               27 0.760 0.381
## 2 HIGH              28 1.07  0.602

Boxplot

Error Bar Plot

A Factorial ANOVA indicated that there is a significant difference in D Prime between High Stress (M = 1.07, SD = 0.60) and Low Stress (M = 0.76, SD = 0.38), F(1, 46) = 4.972, p < 0.05, eta-squared = 0.0975339. No other main effect or interaction were found.

C Score — Stress has the main effect on C Score. We also found that there is an interaction between anxiety and depression on C score.

We target:
1. Is there a main effect of Anxiety level (Low/High) on C Score?
2. Is there a main effect of Depression level (Low/High) on C Score?
3. Is there a main effect of Stress level (Low/High) on C Score? — YES 4. Is there an interaction effect between Anxiety and Depression level on C Score? YES
5. Is there an interaction effect between Anxiety and Stress level on C Score?
6. Is there an interaction effect between Stress and Depression level on C Score?
7. Is there an interaction effect between Anxiety, Stress, and Depression level on C Score?

##                                                   Df Sum Sq Mean Sq F value
## Stress.Level.2                                     1 0.4167  0.4167   9.733
## Anxiety.Level.2                                    1 0.0039  0.0039   0.091
## Depression.Level.2                                 1 0.0695  0.0695   1.622
## Stress.Level.2:Anxiety.Level.2                     1 0.0012  0.0012   0.028
## Stress.Level.2:Depression.Level.2                  1 0.0039  0.0039   0.090
## Anxiety.Level.2:Depression.Level.2                 1 0.2184  0.2184   5.100
## Stress.Level.2:Anxiety.Level.2:Depression.Level.2  1 0.0006  0.0006   0.014
## Residuals                                         46 1.9694  0.0428        
##                                                    Pr(>F)   
## Stress.Level.2                                    0.00312 **
## Anxiety.Level.2                                   0.76454   
## Depression.Level.2                                0.20915   
## Stress.Level.2:Anxiety.Level.2                    0.86678   
## Stress.Level.2:Depression.Level.2                 0.76539   
## Anxiety.Level.2:Depression.Level.2                0.02871 * 
## Stress.Level.2:Anxiety.Level.2:Depression.Level.2 0.90694   
## Residuals                                                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 1 observation deleted due to missingness
## 
## 
## Table 3 
## 
## ANOVA results
##  
## 
##                                              Predictor df_num df_den SS_num
##                                         Stress.Level.2      1     46   0.42
##                                        Anxiety.Level.2      1     46   0.00
##                                     Depression.Level.2      1     46   0.07
##                       Stress.Level.2 x Anxiety.Level.2      1     46   0.00
##                    Stress.Level.2 x Depression.Level.2      1     46   0.00
##                   Anxiety.Level.2 x Depression.Level.2      1     46   0.22
##  Stress.Level.2 x Anxiety.Level.2 x Depression.Level.2      1     46   0.00
##  SS_den    F    p ges
##    1.97 9.73 .003 .17
##    1.97 0.09 .765 .00
##    1.97 1.62 .209 .03
##    1.97 0.03 .867 .00
##    1.97 0.09 .765 .00
##    1.97 5.10 .029 .10
##    1.97 0.01 .907 .00
## 
## Note. df_num indicates degrees of freedom numerator. df_den indicates degrees of freedom denominator. 
## SS_num indicates sum of squares numerator. SS_den indicates sum of squares denominator. 
## ges indicates generalized eta-squared.
##

Interaction Plot

Descriptive Statistics

## # A tibble: 2 × 4
##   Stress.Level.2     N  Mean    SD
##   <fct>          <int> <dbl> <dbl>
## 1 LOW               27  1.47 0.141
## 2 HIGH              28  1.65 0.256

Boxplot

Error Bar Plot

A Factorial ANOVA indicated that there is a significant difference in C score between High Stress (M =1.65, SD = 0.26) and Low Stress (M = 1.47, SD = 0.14), F(1, 46) = 9.733, p < 0.01, eta-squared = 0.1746364. The result also indicated a significant interaction effect between Anxiety and Depression on C scores, F (1, 46) = 5.1, p < 0.05, eta-squared = 0.0998263. No other main effect or interaction were found.

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