Executive Networks — NOT SIGNIFICANT

We target:
1. Is there a main effect of Anxiety level (Normal/Moderate/Severe) on Executive Network?
2. Is there a main effect of Depression level (Normal/Moderate/Severe) on Executive Network?
3. Is there a main effect of Stress level (Normal/Moderate/Severe) on Executive Network?
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 Pr(>F)
## Stress.Level.1                     2  27488   13744   2.170  0.126
## Anxiety.Level.1                    2   5828    2914   0.460  0.634
## Depression.Level.1                 2   5385    2692   0.425  0.656
## Stress.Level.1:Anxiety.Level.1     2  10882    5441   0.859  0.431
## Stress.Level.1:Depression.Level.1  2   3253    1626   0.257  0.775
## Residuals                         44 278736    6335

D Prime — NOT SIGNIFICANT

We target:
1. Is there a main effect of Anxiety level (Normal/Moderate/Severe) on D Prime?
2. Is there a main effect of Depression level (Normal/Moderate/Severe) on D Prime?
3. Is there a main effect of Stress level (Normal/Moderate/Severe) on D Prime?
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 Pr(>F)
## Stress.Level.1                     2  0.964  0.4822   1.682  0.198
## Anxiety.Level.1                    2  0.315  0.1575   0.550  0.581
## Depression.Level.1                 2  0.357  0.1786   0.623  0.541
## Stress.Level.1:Anxiety.Level.1     2  0.110  0.0548   0.191  0.827
## Stress.Level.1:Depression.Level.1  2  0.654  0.3271   1.141  0.329
## Residuals                         43 12.325  0.2866               
## 1 observation deleted due to missingness

C Score — Only Stress has the main effect on C Score. No Interaction was found.

We target:
1. Is there a main effect of Anxiety level (Normal/Moderate/Severe) on C Score?
2. Is there a main effect of Depression level (Normal/Moderate/Severe) on C Score?
3. Is there a main effect of Stress level (Normal/Moderate/Severe) on C Score?
4. Is there an interaction effect between Anxiety and Depression level on C Score?
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 Pr(>F)  
## Stress.Level.1                     2 0.3194 0.15969   3.273 0.0475 *
## Anxiety.Level.1                    2 0.0383 0.01914   0.392 0.6779  
## Depression.Level.1                 2 0.0598 0.02991   0.613 0.5464  
## Stress.Level.1:Anxiety.Level.1     2 0.0391 0.01955   0.401 0.6723  
## Stress.Level.1:Depression.Level.1  2 0.1288 0.06440   1.320 0.2778  
## Residuals                         43 2.0981 0.04879                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 1 observation deleted due to missingness

Descriptive Statistics

## # A tibble: 3 × 4
##   Stress.Level.1     N  Mean    SD
##   <fct>          <int> <dbl> <dbl>
## 1 NORMAL            20  1.47 0.126
## 2 MODERATE          18  1.58 0.243
## 3 SEVERE            17  1.66 0.260

Because Stress level has a main effect on C Score, we need to indicate where is the difference.

##   Tukey multiple comparisons of means
##     95% family-wise confidence level
## 
## Fit: aov(formula = C.score ~ Stress.Level.1, data = df)
## 
## $Stress.Level.1
##                       diff         lwr       upr     p adj
## MODERATE-NORMAL 0.10649254 -0.06445749 0.2774426 0.2976727
## SEVERE-NORMAL   0.18752833  0.01401558 0.3610411 0.0313737
## SEVERE-MODERATE 0.08103578 -0.09473824 0.2568098 0.5106203

Tukey result indicate that mean C Score is significant different between Normal Stress level and Severe Stress level (M = 0.19), 95%CI=[0.01,0.36], , p < 0.05.

Tukey plot

Boxplot

## Warning: Removed 1 rows containing non-finite values (`stat_boxplot()`).

Error Bar Plot

**A One Way ANOVA indicated that there is a significant difference in C score between different Stress Levels, F(4,49) = 3.229, p < 0.05. A post hoc Tukey test indicated that there is a significant difference in C score between Normal (M = 1.47, SD = 0.13) and Severe (M = 1.66, SD = 0.26). No other pair-wise difference found.