1 PREPARATION

2 STUDY 1

## 
## ****************** PART 1. Regression Model Summary ******************
## 
## PROCESS Model Code : 1 (Hayes, 2018; www.guilford.com/p/hayes3)
## PROCESS Model Type : Simple Moderation
## -    Outcome (Y) : WP.SystemPerformanceImprovementBehaviorV
## -  Predictor (X) : W.X
## -  Mediators (M) : -
## - Moderators (W) : BA.AIOnlineCommunicationSkillsV
## - Covariates (C) : -
## -   HLM Clusters : B.ID
## 
## Formula of Outcome:
## -    WP.SystemPerformanceImprovementBehaviorV ~ W.X*BA.AIOnlineCommunicationSkillsV + (W.X|B.ID)
## 
## CAUTION:
##   Fixed effect (coef.) of a predictor involved in an interaction
##   denotes its "simple effect/slope" at the other predictor = 0.
##   Only when all predictors in an interaction are mean-centered
##   can the fixed effect denote the "main effect"!
##   
## Model Summary
## 
## ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
##                                      (1) WP.SystemPerformanceImprovementBehaviorV  (2) WP.SystemPerformanceImprovementBehaviorV
## ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## (Intercept)                             3.449 ***                                     2.447 ***                                
##                                        (0.100)                                       (0.390)                                   
## W.X                                    -0.121                                         0.530                                    
##                                        (0.082)                                       (0.321)                                   
## BA.AIOnlineCommunicationSkillsV                                                       0.235 **                                 
##                                                                                      (0.089)                                   
## W.X:BA.AIOnlineCommunicationSkillsV                                                  -0.153 *                                  
##                                                                                      (0.073)                                   
## ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## Marginal R^2                            0.002                                         0.019                                    
## Conditional R^2                         0.496                                         0.502                                    
## AIC                                  2229.463                                      2231.960                                    
## BIC                                  2256.453                                      2267.947                                    
## Num. obs.                             664                                           664                                        
## Num. groups: B.ID                     166                                           166                                        
## Var: B.ID (Intercept)                   1.119                                         1.068                                    
## Var: B.ID W.X                           0.001                                         0.000                                    
## Cov: B.ID (Intercept) W.X              -0.037                                        -0.008                                    
## Var: Residual                           1.101                                         1.094                                    
## ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## Note. * p < .05, ** p < .01, *** p < .001.
## 
## ************ PART 2. Mediation/Moderation Effect Estimate ************
## 
## Package Use : ‘interactions’ (v1.2.0)
## Effect Type : Simple Moderation (Model 1)
## Sample Size : 664 (20 missing observations deleted)
## Random Seed : -
## Simulations : -
## 
## Interaction Effect on "WP.SystemPerformanceImprovementBehaviorV" (Y)
## ─────────────────────────────────────────────────────────────
##                                           F df1 df2     p    
## ─────────────────────────────────────────────────────────────
## W.X * BA.AIOnlineCommunicationSkillsV  4.39   1 496  .037 *  
## ─────────────────────────────────────────────────────────────
## 
## Simple Slopes: "W.X" (X) ==> "WP.SystemPerformanceImprovementBehaviorV" (Y)
## ───────────────────────────────────────────────────────────────────────────────────
##  "BA.AIOnlineCommunicationSkillsV" Effect    S.E.      t     p             [95% CI]
## ───────────────────────────────────────────────────────────────────────────────────
##  3.146 (- SD)                       0.049 (0.115)  0.428  .669     [-0.176,  0.274]
##  4.260 (Mean)                      -0.121 (0.081) -1.491  .137     [-0.280,  0.038]
##  5.374 (+ SD)                      -0.291 (0.115) -2.536  .012 *   [-0.516, -0.066]
## ───────────────────────────────────────────────────────────────────────────────────

3 STUDY 2

3.1 X -> Y: Three groups comparisions

3.1.1 Treating W.X as moderator

## 
## ****************** PART 1. Regression Model Summary ******************
## 
## PROCESS Model Code : 1 (Hayes, 2018; www.guilford.com/p/hayes3)
## PROCESS Model Type : Simple Moderation
## -    Outcome (Y) : WP.SystemPerformanceImprovementBehaviorV
## -  Predictor (X) : BA.AIOnlineCommunicationSkillsV
## -  Mediators (M) : -
## - Moderators (W) : W.X
## - Covariates (C) : -
## -   HLM Clusters : B.ID
## 
## Formula of Outcome:
## -    WP.SystemPerformanceImprovementBehaviorV ~ BA.AIOnlineCommunicationSkillsV*W.X + (W.X|B.ID)
## 
## CAUTION:
##   Fixed effect (coef.) of a predictor involved in an interaction
##   denotes its "simple effect/slope" at the other predictor = 0.
##   Only when all predictors in an interaction are mean-centered
##   can the fixed effect denote the "main effect"!
##   
## Model Summary
## 
## ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
##                                       (1) WP.SystemPerformanceImprovementBehaviorV  (2) WP.SystemPerformanceImprovementBehaviorV
## ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## (Intercept)                              2.260 ***                                     1.730 ***                                
##                                         (0.346)                                       (0.377)                                   
## BA.AIOnlineCommunicationSkillsV          0.263 ***                                     0.387 ***                                
##                                         (0.079)                                       (0.086)                                   
## W.X1                                                                                   0.986 ***                                
##                                                                                       (0.254)                                   
## W.X2                                                                                   0.593 *                                  
##                                                                                       (0.253)                                   
## BA.AIOnlineCommunicationSkillsV:W.X1                                                  -0.232 ***                                
##                                                                                       (0.059)                                   
## BA.AIOnlineCommunicationSkillsV:W.X2                                                  -0.137 *                                  
##                                                                                       (0.058)                                   
## ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## Marginal R^2                             0.045                                         0.051                                    
## Conditional R^2                          0.671                                         0.678                                    
## AIC                                   2726.715                                      2733.715                                    
## BIC                                   2770.328                                      2796.711                                    
## Num. obs.                              940                                           940                                        
## Num. groups: B.ID                      161                                           161                                        
## Var: B.ID (Intercept)                    1.266                                         1.271                                    
## Var: B.ID W.X1                           0.038                                         0.032                                    
## Var: B.ID W.X2                           0.026                                         0.036                                    
## Cov: B.ID (Intercept) W.X1              -0.006                                        -0.005                                    
## Cov: B.ID (Intercept) W.X2              -0.034                                        -0.037                                    
## Cov: B.ID W.X1 W.X2                     -0.031                                        -0.033                                    
## Var: Residual                            0.663                                         0.650                                    
## ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## Note. * p < .05, ** p < .01, *** p < .001.
## 
## ************ PART 2. Mediation/Moderation Effect Estimate ************
## 
## Package Use : ‘interactions’ (v1.2.0)
## Effect Type : Simple Moderation (Model 1)
## Sample Size : 940 (6 missing observations deleted)
## Random Seed : -
## Simulations : -
## 
## Interaction Effect on "WP.SystemPerformanceImprovementBehaviorV" (Y)
## ─────────────────────────────────────────────────────────────
##                                           F df1 df2     p    
## ─────────────────────────────────────────────────────────────
## BA.AIOnlineCommunicationSkillsV * W.X  8.18   2 259 <.001 ***
## ─────────────────────────────────────────────────────────────
## 
## Simple Slopes: "BA.AIOnlineCommunicationSkillsV" (X) ==> "WP.SystemPerformanceImprovementBehaviorV" (Y)
## ─────────────────────────────────────────────────────
##  "W.X" Effect    S.E.     t     p            [95% CI]
## ─────────────────────────────────────────────────────
##  0      0.387 (0.086) 4.495 <.001 *** [ 0.218, 0.555]
##  1      0.155 (0.088) 1.764  .080 .   [-0.017, 0.326]
##  2      0.250 (0.085) 2.947  .004 **  [ 0.084, 0.416]
## ─────────────────────────────────────────────────────

3.1.1.1 Treating W.X as X

## 
## ****************** PART 1. Regression Model Summary ******************
## 
## PROCESS Model Code : 1 (Hayes, 2018; www.guilford.com/p/hayes3)
## PROCESS Model Type : Simple Moderation
## -    Outcome (Y) : WP.SystemPerformanceImprovementBehaviorV
## -  Predictor (X) : W.X10
## -  Mediators (M) : -
## - Moderators (W) : BA.AIOnlineCommunicationSkillsV
## - Covariates (C) : W.X01, W.X01BA.AIOnlineCommunicationSkillsV
## -   HLM Clusters : B.ID
## 
## Formula of Outcome:
## -    WP.SystemPerformanceImprovementBehaviorV ~ W.X01 + W.X01BA.AIOnlineCommunicationSkillsV + W.X10*BA.AIOnlineCommunicationSkillsV + (W.X10+W.X01|B.ID)
## 
## CAUTION:
##   Fixed effect (coef.) of a predictor involved in an interaction
##   denotes its "simple effect/slope" at the other predictor = 0.
##   Only when all predictors in an interaction are mean-centered
##   can the fixed effect denote the "main effect"!
##   
## Model Summary
## 
## ─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
##                                        (1) WP.SystemPerformanceImprovementBehaviorV  (2) WP.SystemPerformanceImprovementBehaviorV
## ─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## (Intercept)                               3.365 ***                                     1.730 ***                                
##                                          (0.105)                                       (0.377)                                   
## W.X01                                     0.008                                         0.593 *                                  
##                                          (0.224)                                       (0.253)                                   
## W.X01BA.AIOnlineCommunicationSkillsV      0.003                                        -0.137 *                                  
##                                          (0.051)                                       (0.058)                                   
## W.X10                                     0.012                                         0.986 ***                                
##                                          (0.067)                                       (0.254)                                   
## BA.AIOnlineCommunicationSkillsV                                                         0.387 ***                                
##                                                                                        (0.086)                                   
## W.X10:BA.AIOnlineCommunicationSkillsV                                                  -0.232 ***                                
##                                                                                        (0.059)                                   
## ─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## Marginal R^2                              0.000                                         0.051                                    
## Conditional R^2                           0.671                                         0.678                                    
## AIC                                    2748.753                                      2733.715                                    
## BIC                                    2802.057                                      2796.711                                    
## Num. obs.                               940                                           940                                        
## Num. groups: B.ID                       161                                           161                                        
## Var: B.ID (Intercept)                     1.436                                         1.271                                    
## Var: B.ID W.X10                           0.045                                         0.032                                    
## Var: B.ID W.X01                           0.033                                         0.036                                    
## Cov: B.ID (Intercept) W.X10              -0.088                                        -0.005                                    
## Cov: B.ID (Intercept) W.X01              -0.082                                        -0.037                                    
## Cov: B.ID W.X10 W.X01                    -0.028                                        -0.033                                    
## Var: Residual                             0.663                                         0.650                                    
## ─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## Note. * p < .05, ** p < .01, *** p < .001.
## 
## ************ PART 2. Mediation/Moderation Effect Estimate ************
## 
## Package Use : ‘interactions’ (v1.2.0)
## Effect Type : Simple Moderation (Model 1)
## Sample Size : 940 (6 missing observations deleted)
## Random Seed : -
## Simulations : -
## 
## Interaction Effect on "WP.SystemPerformanceImprovementBehaviorV" (Y)
## ────────────────────────────────────────────────────────────────
##                                              F df1 df2     p    
## ────────────────────────────────────────────────────────────────
## W.X10 * BA.AIOnlineCommunicationSkillsV  15.74   1 437 <.001 ***
## ────────────────────────────────────────────────────────────────
## 
## Simple Slopes: "W.X10" (X) ==> "WP.SystemPerformanceImprovementBehaviorV" (Y)
## ───────────────────────────────────────────────────────────────────────────────────
##  "BA.AIOnlineCommunicationSkillsV" Effect    S.E.      t     p             [95% CI]
## ───────────────────────────────────────────────────────────────────────────────────
##  3.062 (- SD)                       0.276 (0.093)  2.957  .003 **  [ 0.093,  0.458]
##  4.201 (Mean)                       0.011 (0.066)  0.167  .868     [-0.119,  0.141]
##  5.341 (+ SD)                      -0.254 (0.095) -2.676  .008 **  [-0.439, -0.068]
## ───────────────────────────────────────────────────────────────────────────────────
## 
## ****************** PART 1. Regression Model Summary ******************
## 
## PROCESS Model Code : 1 (Hayes, 2018; www.guilford.com/p/hayes3)
## PROCESS Model Type : Simple Moderation
## -    Outcome (Y) : WP.SystemPerformanceImprovementBehaviorV
## -  Predictor (X) : W.X01
## -  Mediators (M) : -
## - Moderators (W) : BA.AIOnlineCommunicationSkillsV
## - Covariates (C) : W.X10, W.X10BA.AIOnlineCommunicationSkillsV
## -   HLM Clusters : B.ID
## 
## Formula of Outcome:
## -    WP.SystemPerformanceImprovementBehaviorV ~ W.X10 + W.X10BA.AIOnlineCommunicationSkillsV + W.X01*BA.AIOnlineCommunicationSkillsV + (W.X10+W.X01|B.ID)
## 
## CAUTION:
##   Fixed effect (coef.) of a predictor involved in an interaction
##   denotes its "simple effect/slope" at the other predictor = 0.
##   Only when all predictors in an interaction are mean-centered
##   can the fixed effect denote the "main effect"!
##   
## Model Summary
## 
## ─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
##                                        (1) WP.SystemPerformanceImprovementBehaviorV  (2) WP.SystemPerformanceImprovementBehaviorV
## ─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## (Intercept)                               3.365 ***                                     1.730 ***                                
##                                          (0.106)                                       (0.377)                                   
## W.X10                                     0.579 *                                       0.986 ***                                
##                                          (0.228)                                       (0.254)                                   
## W.X10BA.AIOnlineCommunicationSkillsV     -0.135 **                                     -0.232 ***                                
##                                          (0.052)                                       (0.059)                                   
## W.X01                                     0.018                                         0.593 *                                  
##                                          (0.067)                                       (0.253)                                   
## BA.AIOnlineCommunicationSkillsV                                                         0.387 ***                                
##                                                                                        (0.086)                                   
## W.X01:BA.AIOnlineCommunicationSkillsV                                                  -0.137 *                                  
##                                                                                        (0.058)                                   
## ─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## Marginal R^2                              0.004                                         0.051                                    
## Conditional R^2                           0.680                                         0.678                                    
## AIC                                    2742.494                                      2733.715                                    
## BIC                                    2795.799                                      2796.711                                    
## Num. obs.                               940                                           940                                        
## Num. groups: B.ID                       161                                           161                                        
## Var: B.ID (Intercept)                     1.449                                         1.271                                    
## Var: B.ID W.X10                           0.031                                         0.032                                    
## Var: B.ID W.X01                           0.040                                         0.036                                    
## Cov: B.ID (Intercept) W.X10              -0.043                                        -0.005                                    
## Cov: B.ID (Intercept) W.X01              -0.093                                        -0.037                                    
## Cov: B.ID W.X10 W.X01                    -0.029                                        -0.033                                    
## Var: Residual                             0.655                                         0.650                                    
## ─────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## Note. * p < .05, ** p < .01, *** p < .001.
## 
## ************ PART 2. Mediation/Moderation Effect Estimate ************
## 
## Package Use : ‘interactions’ (v1.2.0)
## Effect Type : Simple Moderation (Model 1)
## Sample Size : 940 (6 missing observations deleted)
## Random Seed : -
## Simulations : -
## 
## Interaction Effect on "WP.SystemPerformanceImprovementBehaviorV" (Y)
## ───────────────────────────────────────────────────────────────
##                                             F df1 df2     p    
## ───────────────────────────────────────────────────────────────
## W.X01 * BA.AIOnlineCommunicationSkillsV  5.59   1 427  .019 *  
## ───────────────────────────────────────────────────────────────
## 
## Simple Slopes: "W.X01" (X) ==> "WP.SystemPerformanceImprovementBehaviorV" (Y)
## ──────────────────────────────────────────────────────────────────────────────────
##  "BA.AIOnlineCommunicationSkillsV" Effect    S.E.      t     p            [95% CI]
## ──────────────────────────────────────────────────────────────────────────────────
##  3.062 (- SD)                       0.173 (0.094)  1.838  .067 .   [-0.011, 0.358]
##  4.201 (Mean)                       0.017 (0.066)  0.258  .796     [-0.113, 0.148]
##  5.341 (+ SD)                      -0.139 (0.094) -1.482  .140     [-0.322, 0.045]
## ──────────────────────────────────────────────────────────────────────────────────

3.2 X -> M: Three groups comparisions

3.2.1 WP.TakingChargeBehaviorsForSystemImprovementV

## 
## ****************** PART 1. Regression Model Summary ******************
## 
## PROCESS Model Code : 1 (Hayes, 2018; www.guilford.com/p/hayes3)
## PROCESS Model Type : Simple Moderation
## -    Outcome (Y) : WP.TakingChargeBehaviorsForSystemImprovementV
## -  Predictor (X) : W.X10
## -  Mediators (M) : -
## - Moderators (W) : BA.AIOnlineCommunicationSkillsV
## - Covariates (C) : W.X01, W.X01BA.AIOnlineCommunicationSkillsV
## -   HLM Clusters : B.ID
## 
## Formula of Outcome:
## -    WP.TakingChargeBehaviorsForSystemImprovementV ~ W.X01 + W.X01BA.AIOnlineCommunicationSkillsV + W.X10*BA.AIOnlineCommunicationSkillsV + (W.X10+W.X01|B.ID)
## 
## CAUTION:
##   Fixed effect (coef.) of a predictor involved in an interaction
##   denotes its "simple effect/slope" at the other predictor = 0.
##   Only when all predictors in an interaction are mean-centered
##   can the fixed effect denote the "main effect"!
##   
## Model Summary
## 
## ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
##                                        (1) WP.TakingChargeBehaviorsForSystemImprovementV  (2) WP.TakingChargeBehaviorsForSystemImprovementV
## ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## (Intercept)                               3.420 ***                                          2.102 ***                                     
##                                          (0.114)                                            (0.414)                                        
## W.X01                                     0.215                                              0.643 **                                      
##                                          (0.217)                                            (0.245)                                        
## W.X01BA.AIOnlineCommunicationSkillsV     -0.033                                             -0.135 *                                       
##                                          (0.049)                                            (0.056)                                        
## W.X10                                     0.069                                              0.594 *                                       
##                                          (0.064)                                            (0.242)                                        
## BA.AIOnlineCommunicationSkillsV                                                              0.312 ***                                     
##                                                                                             (0.094)                                        
## W.X10:BA.AIOnlineCommunicationSkillsV                                                       -0.125 *                                       
##                                                                                             (0.056)                                        
## ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## Marginal R^2                              0.001                                              0.032                                         
## Conditional R^2                           0.729                                              0.724                                         
## AIC                                    2709.815                                           2709.732                                         
## BIC                                    2763.119                                           2772.728                                         
## Num. obs.                               940                                                940                                             
## Num. groups: B.ID                       161                                                161                                             
## Var: B.ID (Intercept)                     1.752                                              1.618                                         
## Var: B.ID W.X10                           0.026                                              0.000                                         
## Var: B.ID W.X01                           0.102                                              0.021                                         
## Cov: B.ID (Intercept) W.X10              -0.086                                             -0.025                                         
## Cov: B.ID (Intercept) W.X01              -0.146                                             -0.073                                         
## Cov: B.ID W.X10 W.X01                     0.051                                              0.001                                         
## Var: Residual                             0.612                                              0.623                                         
## ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## Note. * p < .05, ** p < .01, *** p < .001.
## 
## ************ PART 2. Mediation/Moderation Effect Estimate ************
## 
## Package Use : ‘interactions’ (v1.2.0)
## Effect Type : Simple Moderation (Model 1)
## Sample Size : 940 (6 missing observations deleted)
## Random Seed : -
## Simulations : -
## 
## Interaction Effect on "WP.TakingChargeBehaviorsForSystemImprovementV" (Y)
## ───────────────────────────────────────────────────────────────
##                                             F df1 df2     p    
## ───────────────────────────────────────────────────────────────
## W.X10 * BA.AIOnlineCommunicationSkillsV  5.00   1 507  .026 *  
## ───────────────────────────────────────────────────────────────
## 
## Simple Slopes: "W.X10" (X) ==> "WP.TakingChargeBehaviorsForSystemImprovementV" (Y)
## ──────────────────────────────────────────────────────────────────────────────────
##  "BA.AIOnlineCommunicationSkillsV" Effect    S.E.      t     p            [95% CI]
## ──────────────────────────────────────────────────────────────────────────────────
##  3.062 (- SD)                       0.211 (0.090)  2.362  .019 *   [ 0.036, 0.387]
##  4.201 (Mean)                       0.068 (0.064)  1.072  .284     [-0.056, 0.193]
##  5.341 (+ SD)                      -0.075 (0.091) -0.825  .410     [-0.253, 0.103]
## ──────────────────────────────────────────────────────────────────────────────────
## 
## ****************** PART 1. Regression Model Summary ******************
## 
## PROCESS Model Code : 1 (Hayes, 2018; www.guilford.com/p/hayes3)
## PROCESS Model Type : Simple Moderation
## -    Outcome (Y) : WP.TakingChargeBehaviorsForSystemImprovementV
## -  Predictor (X) : W.X01
## -  Mediators (M) : -
## - Moderators (W) : BA.AIOnlineCommunicationSkillsV
## - Covariates (C) : W.X10, W.X10BA.AIOnlineCommunicationSkillsV
## -   HLM Clusters : B.ID
## 
## Formula of Outcome:
## -    WP.TakingChargeBehaviorsForSystemImprovementV ~ W.X10 + W.X10BA.AIOnlineCommunicationSkillsV + W.X01*BA.AIOnlineCommunicationSkillsV + (W.X10+W.X01|B.ID)
## 
## CAUTION:
##   Fixed effect (coef.) of a predictor involved in an interaction
##   denotes its "simple effect/slope" at the other predictor = 0.
##   Only when all predictors in an interaction are mean-centered
##   can the fixed effect denote the "main effect"!
##   
## Model Summary
## 
## ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
##                                        (1) WP.TakingChargeBehaviorsForSystemImprovementV  (2) WP.TakingChargeBehaviorsForSystemImprovementV
## ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## (Intercept)                               3.420 ***                                          2.102 ***                                     
##                                          (0.114)                                            (0.414)                                        
## W.X10                                     0.236                                              0.594 *                                       
##                                          (0.209)                                            (0.242)                                        
## W.X10BA.AIOnlineCommunicationSkillsV     -0.040                                             -0.125 *                                       
##                                          (0.048)                                            (0.056)                                        
## W.X01                                     0.074                                              0.643 **                                      
##                                          (0.068)                                            (0.245)                                        
## BA.AIOnlineCommunicationSkillsV                                                              0.312 ***                                     
##                                                                                             (0.094)                                        
## W.X01:BA.AIOnlineCommunicationSkillsV                                                       -0.135 *                                       
##                                                                                             (0.056)                                        
## ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## Marginal R^2                              0.001                                              0.032                                         
## Conditional R^2                           0.729                                              0.724                                         
## AIC                                    2709.624                                           2709.732                                         
## BIC                                    2762.929                                           2772.728                                         
## Num. obs.                               940                                                940                                             
## Num. groups: B.ID                       161                                                161                                             
## Var: B.ID (Intercept)                     1.753                                              1.618                                         
## Var: B.ID W.X10                           0.026                                              0.000                                         
## Var: B.ID W.X01                           0.112                                              0.021                                         
## Cov: B.ID (Intercept) W.X10              -0.075                                             -0.025                                         
## Cov: B.ID (Intercept) W.X01              -0.162                                             -0.073                                         
## Cov: B.ID W.X10 W.X01                     0.054                                              0.001                                         
## Var: Residual                             0.610                                              0.623                                         
## ───────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## Note. * p < .05, ** p < .01, *** p < .001.
## 
## ************ PART 2. Mediation/Moderation Effect Estimate ************
## 
## Package Use : ‘interactions’ (v1.2.0)
## Effect Type : Simple Moderation (Model 1)
## Sample Size : 940 (6 missing observations deleted)
## Random Seed : -
## Simulations : -
## 
## Interaction Effect on "WP.TakingChargeBehaviorsForSystemImprovementV" (Y)
## ───────────────────────────────────────────────────────────────
##                                             F df1 df2     p    
## ───────────────────────────────────────────────────────────────
## W.X01 * BA.AIOnlineCommunicationSkillsV  5.80   1 115  .018 *  
## ───────────────────────────────────────────────────────────────
## 
## Simple Slopes: "W.X01" (X) ==> "WP.TakingChargeBehaviorsForSystemImprovementV" (Y)
## ──────────────────────────────────────────────────────────────────────────────────
##  "BA.AIOnlineCommunicationSkillsV" Effect    S.E.      t     p            [95% CI]
## ──────────────────────────────────────────────────────────────────────────────────
##  3.062 (- SD)                       0.229 (0.091)  2.521  .013 *   [ 0.051, 0.407]
##  4.201 (Mean)                       0.075 (0.064)  1.168  .246     [-0.051, 0.201]
##  5.341 (+ SD)                      -0.079 (0.090) -0.876  .383     [-0.256, 0.098]
## ──────────────────────────────────────────────────────────────────────────────────

3.2.2 Moderated mediation

## 
## ****************** PART 1. Regression Model Summary ******************
## 
## PROCESS Model Code : 8 (Hayes, 2018; www.guilford.com/p/hayes3)
## PROCESS Model Type : Moderated Mediation
## -    Outcome (Y) : WP.SystemPerformanceImprovementBehaviorV
## -  Predictor (X) : W.X10
## -  Mediators (M) : WP.TakingChargeBehaviorsForSystemImprovementV.GroC
## - Moderators (W) : BA.AIOnlineCommunicationSkillsV
## - Covariates (C) : W.X01, W.X01BA.AIOnlineCommunicationSkillsV
## -   HLM Clusters : B.ID
## 
## Formula of Mediator:
## -    WP.TakingChargeBehaviorsForSystemImprovementV.GroC ~ W.X01 + W.X01BA.AIOnlineCommunicationSkillsV + W.X10*BA.AIOnlineCommunicationSkillsV + (1 | B.ID)
## Formula of Outcome:
## -    WP.SystemPerformanceImprovementBehaviorV ~ W.X01 + W.X01BA.AIOnlineCommunicationSkillsV + W.X10*BA.AIOnlineCommunicationSkillsV + WP.TakingChargeBehaviorsForSystemImprovementV.GroC + (W.X10+W.X01|B.ID)
## 
## CAUTION:
##   Fixed effect (coef.) of a predictor involved in an interaction
##   denotes its "simple effect/slope" at the other predictor = 0.
##   Only when all predictors in an interaction are mean-centered
##   can the fixed effect denote the "main effect"!
##   
## Model Summary
## 
## ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
##                                                     (1) WP.SystemPerformanceImprovementBehaviorV  (2) WP.TakingChargeBehaviorsForSystemImprovementV.GroC  (3) WP.SystemPerformanceImprovementBehaviorV
## ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## (Intercept)                                            3.365 ***                                    -0.291                                                   1.786 ***                                
##                                                       (0.105)                                       (0.162)                                                 (0.370)                                   
## W.X01                                                  0.008                                         0.776 ***                                               0.345                                    
##                                                       (0.224)                                       (0.230)                                                 (0.240)                                   
## W.X01BA.AIOnlineCommunicationSkillsV                   0.003                                        -0.174 ***                                              -0.083                                    
##                                                       (0.051)                                       (0.053)                                                 (0.055)                                   
## W.X10                                                  0.012                                         0.525 *                                                 0.776 **                                 
##                                                       (0.067)                                       (0.232)                                                 (0.238)                                   
## BA.AIOnlineCommunicationSkillsV                                                                      0.052                                                   0.383 ***                                
##                                                                                                     (0.037)                                                 (0.084)                                   
## W.X10:BA.AIOnlineCommunicationSkillsV                                                               -0.106 *                                                -0.188 ***                                
##                                                                                                     (0.053)                                                 (0.055)                                   
## WP.TakingChargeBehaviorsForSystemImprovementV.GroC                                                                                                           0.363 ***                                
##                                                                                                                                                             (0.034)                                   
## ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## Marginal R^2                                           0.000                                         0.017                                                   0.091                                    
## Conditional R^2                                        0.671                                         0.017                                                   0.732                                    
## AIC                                                 2748.753                                      2181.541                                                2636.853                                    
## BIC                                                 2802.057                                      2220.308                                                2704.696                                    
## Num. obs.                                            940                                           940                                                     940                                        
## Num. groups: B.ID                                    161                                           161                                                     161                                        
## Var: B.ID (Intercept)                                  1.436                                         0.000                                                   1.262                                    
## Var: B.ID W.X10                                        0.045                                                                                                 0.047                                    
## Var: B.ID W.X01                                        0.033                                                                                                 0.062                                    
## Cov: B.ID (Intercept) W.X10                           -0.088                                                                                                 0.018                                    
## Cov: B.ID (Intercept) W.X01                           -0.082                                                                                                 0.015                                    
## Cov: B.ID W.X10 W.X01                                 -0.028                                                                                                -0.054                                    
## Var: Residual                                          0.663                                         0.573                                                   0.551                                    
## ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## Note. * p < .05, ** p < .01, *** p < .001.
## 
## ************ PART 2. Mediation/Moderation Effect Estimate ************
## 
## Package Use : ‘mediation’ (v4.5.0), ‘interactions’ (v1.2.0)
## Effect Type : Moderated Mediation (Model 8)
## Sample Size : 940 (6 missing observations deleted)
## Random Seed : set.seed(1)
## Simulations : 1000 (Bootstrap)
## 
## Interaction Effect on "WP.SystemPerformanceImprovementBehaviorV" (Y)
## ────────────────────────────────────────────────────────────────
##                                              F df1 df2     p    
## ────────────────────────────────────────────────────────────────
## W.X10 * BA.AIOnlineCommunicationSkillsV  11.74   1 362 <.001 ***
## ────────────────────────────────────────────────────────────────
## 
## Simple Slopes: "W.X10" (X) ==> "WP.SystemPerformanceImprovementBehaviorV" (Y)
## (Conditional Direct Effects [c'] of X on Y)
## ───────────────────────────────────────────────────────────────────────────────────
##  "BA.AIOnlineCommunicationSkillsV" Effect    S.E.      t     p             [95% CI]
## ───────────────────────────────────────────────────────────────────────────────────
##  3.062 (- SD)                       0.200 (0.088)  2.282  .023 *   [ 0.028,  0.371]
##  4.201 (Mean)                      -0.015 (0.062) -0.240  .811     [-0.136,  0.107]
##  5.341 (+ SD)                      -0.229 (0.089) -2.586  .010 *   [-0.403, -0.056]
## ───────────────────────────────────────────────────────────────────────────────────
## 
## Interaction Effect on "WP.TakingChargeBehaviorsForSystemImprovementV.GroC" (M)
## ───────────────────────────────────────────────────────────────
##                                             F df1 df2     p    
## ───────────────────────────────────────────────────────────────
## W.X10 * BA.AIOnlineCommunicationSkillsV  3.97   1 934  .047 *  
## ───────────────────────────────────────────────────────────────
## 
## Simple Slopes: "W.X10" (X) ==> "WP.TakingChargeBehaviorsForSystemImprovementV.GroC" (M)
## (Conditional Effects [a] of X on M)
## ──────────────────────────────────────────────────────────────────────────────────
##  "BA.AIOnlineCommunicationSkillsV" Effect    S.E.      t     p            [95% CI]
## ──────────────────────────────────────────────────────────────────────────────────
##  3.062 (- SD)                       0.199 (0.085)  2.336  .020 *   [ 0.032, 0.367]
##  4.201 (Mean)                       0.078 (0.061)  1.289  .198     [-0.041, 0.197]
##  5.341 (+ SD)                      -0.043 (0.086) -0.498  .619     [-0.212, 0.126]
## ──────────────────────────────────────────────────────────────────────────────────
## 
## Running 1000 * 3 simulations...
## Indirect Path: "W.X10" (X) ==> "WP.TakingChargeBehaviorsForSystemImprovementV.GroC" (M) ==> "WP.SystemPerformanceImprovementBehaviorV" (Y)
## (Conditional Indirect Effects [ab] of X through M on Y)
## ───────────────────────────────────────────────────────────────────────────────────
##  "BA.AIOnlineCommunicationSkillsV" Effect    S.E.      z     p        [MCMC 95% CI]
## ───────────────────────────────────────────────────────────────────────────────────
##  3.062 (- SD)                       0.074 (0.032)  2.311  .021 *   [0.017, 0.139]  
##  4.201 (Mean)                       0.029 (0.022)  1.283  .200     [-0.013, 0.071] 
##  5.341 (+ SD)                      -0.016 (0.033) -0.501  .616     [-0.083,  0.049]
## ───────────────────────────────────────────────────────────────────────────────────
## Monte Carlo (Quasi-Bayesian) Confidence Interval
## (Effect, SE, and CI are estimated based on 1000 Monte Carlo samples.)
## 
## Note. The results based on bootstrapping or other random processes
## are unlikely identical to other statistical software (e.g., SPSS).
## To make results reproducible, you need to set a seed (any number).
## Please see the help page for details: help(PROCESS)
## Ignore this note if you have already set a seed. :)
## 
## ****************** PART 1. Regression Model Summary ******************
## 
## PROCESS Model Code : 8 (Hayes, 2018; www.guilford.com/p/hayes3)
## PROCESS Model Type : Moderated Mediation
## -    Outcome (Y) : WP.SystemPerformanceImprovementBehaviorV
## -  Predictor (X) : W.X01
## -  Mediators (M) : WP.TakingChargeBehaviorsForSystemImprovementV.GroC
## - Moderators (W) : BA.AIOnlineCommunicationSkillsV
## - Covariates (C) : W.X10, W.X10BA.AIOnlineCommunicationSkillsV
## -   HLM Clusters : B.ID
## 
## Formula of Mediator:
## -    WP.TakingChargeBehaviorsForSystemImprovementV.GroC ~ W.X10 + W.X10BA.AIOnlineCommunicationSkillsV + W.X01*BA.AIOnlineCommunicationSkillsV + (1 | B.ID)
## Formula of Outcome:
## -    WP.SystemPerformanceImprovementBehaviorV ~ W.X10 + W.X10BA.AIOnlineCommunicationSkillsV + W.X01*BA.AIOnlineCommunicationSkillsV + WP.TakingChargeBehaviorsForSystemImprovementV.GroC + (W.X10+W.X01|B.ID)
## 
## CAUTION:
##   Fixed effect (coef.) of a predictor involved in an interaction
##   denotes its "simple effect/slope" at the other predictor = 0.
##   Only when all predictors in an interaction are mean-centered
##   can the fixed effect denote the "main effect"!
##   
## Model Summary
## 
## ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
##                                                     (1) WP.SystemPerformanceImprovementBehaviorV  (2) WP.TakingChargeBehaviorsForSystemImprovementV.GroC  (3) WP.SystemPerformanceImprovementBehaviorV
## ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## (Intercept)                                            3.365 ***                                    -0.291                                                   1.786 ***                                
##                                                       (0.106)                                       (0.162)                                                 (0.370)                                   
## W.X10                                                  0.579 *                                       0.525 *                                                 0.776 **                                 
##                                                       (0.228)                                       (0.232)                                                 (0.238)                                   
## W.X10BA.AIOnlineCommunicationSkillsV                  -0.135 **                                     -0.106 *                                                -0.188 ***                                
##                                                       (0.052)                                       (0.053)                                                 (0.055)                                   
## W.X01                                                  0.018                                         0.776 ***                                               0.345                                    
##                                                       (0.067)                                       (0.230)                                                 (0.240)                                   
## BA.AIOnlineCommunicationSkillsV                                                                      0.052                                                   0.383 ***                                
##                                                                                                     (0.037)                                                 (0.084)                                   
## W.X01:BA.AIOnlineCommunicationSkillsV                                                               -0.174 ***                                              -0.083                                    
##                                                                                                     (0.053)                                                 (0.055)                                   
## WP.TakingChargeBehaviorsForSystemImprovementV.GroC                                                                                                           0.363 ***                                
##                                                                                                                                                             (0.034)                                   
## ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## Marginal R^2                                           0.004                                         0.017                                                   0.091                                    
## Conditional R^2                                        0.680                                         0.017                                                   0.732                                    
## AIC                                                 2742.494                                      2181.541                                                2636.853                                    
## BIC                                                 2795.799                                      2220.308                                                2704.696                                    
## Num. obs.                                            940                                           940                                                     940                                        
## Num. groups: B.ID                                    161                                           161                                                     161                                        
## Var: B.ID (Intercept)                                  1.449                                         0.000                                                   1.262                                    
## Var: B.ID W.X10                                        0.031                                                                                                 0.047                                    
## Var: B.ID W.X01                                        0.040                                                                                                 0.062                                    
## Cov: B.ID (Intercept) W.X10                           -0.043                                                                                                 0.018                                    
## Cov: B.ID (Intercept) W.X01                           -0.093                                                                                                 0.015                                    
## Cov: B.ID W.X10 W.X01                                 -0.029                                                                                                -0.054                                    
## Var: Residual                                          0.655                                         0.573                                                   0.551                                    
## ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────
## Note. * p < .05, ** p < .01, *** p < .001.
## 
## ************ PART 2. Mediation/Moderation Effect Estimate ************
## 
## Package Use : ‘mediation’ (v4.5.0), ‘interactions’ (v1.2.0)
## Effect Type : Moderated Mediation (Model 8)
## Sample Size : 940 (6 missing observations deleted)
## Random Seed : set.seed(1)
## Simulations : 1000 (Bootstrap)
## 
## Interaction Effect on "WP.SystemPerformanceImprovementBehaviorV" (Y)
## ───────────────────────────────────────────────────────────────
##                                             F df1 df2     p    
## ───────────────────────────────────────────────────────────────
## W.X01 * BA.AIOnlineCommunicationSkillsV  2.30   1 327  .130    
## ───────────────────────────────────────────────────────────────
## 
## Simple Slopes: "W.X01" (X) ==> "WP.SystemPerformanceImprovementBehaviorV" (Y)
## (Conditional Direct Effects [c'] of X on Y)
## ──────────────────────────────────────────────────────────────────────────────────
##  "BA.AIOnlineCommunicationSkillsV" Effect    S.E.      t     p            [95% CI]
## ──────────────────────────────────────────────────────────────────────────────────
##  3.062 (- SD)                       0.090 (0.089)  1.006  .315     [-0.085, 0.264]
##  4.201 (Mean)                      -0.005 (0.063) -0.087  .930     [-0.128, 0.117]
##  5.341 (+ SD)                      -0.100 (0.088) -1.140  .255     [-0.273, 0.072]
## ──────────────────────────────────────────────────────────────────────────────────
## 
## Interaction Effect on "WP.TakingChargeBehaviorsForSystemImprovementV.GroC" (M)
## ────────────────────────────────────────────────────────────────
##                                              F df1 df2     p    
## ────────────────────────────────────────────────────────────────
## W.X01 * BA.AIOnlineCommunicationSkillsV  10.92   1 934 <.001 ***
## ────────────────────────────────────────────────────────────────
## 
## Simple Slopes: "W.X01" (X) ==> "WP.TakingChargeBehaviorsForSystemImprovementV.GroC" (M)
## (Conditional Effects [a] of X on M)
## ──────────────────────────────────────────────────────────────────────────────────
##  "BA.AIOnlineCommunicationSkillsV" Effect    S.E.      t     p            [95% CI]
## ──────────────────────────────────────────────────────────────────────────────────
##  3.062 (- SD)                       0.244 (0.086)  2.851  .004 **  [ 0.076, 0.412]
##  4.201 (Mean)                       0.046 (0.060)  0.762  .446     [-0.072, 0.164]
##  5.341 (+ SD)                      -0.152 (0.084) -1.799  .072 .   [-0.318, 0.014]
## ──────────────────────────────────────────────────────────────────────────────────
## 
## Running 1000 * 3 simulations...
## Indirect Path: "W.X01" (X) ==> "WP.TakingChargeBehaviorsForSystemImprovementV.GroC" (M) ==> "WP.SystemPerformanceImprovementBehaviorV" (Y)
## (Conditional Indirect Effects [ab] of X through M on Y)
## ──────────────────────────────────────────────────────────────────────────────────
##  "BA.AIOnlineCommunicationSkillsV" Effect    S.E.      z     p       [MCMC 95% CI]
## ──────────────────────────────────────────────────────────────────────────────────
##  3.062 (- SD)                       0.090 (0.032)  2.786  .005 **  [ 0.032, 0.155]
##  4.201 (Mean)                       0.017 (0.022)  0.764  .445     [-0.026, 0.059]
##  5.341 (+ SD)                      -0.056 (0.032) -1.726  .084 .   [-0.124, 0.006]
## ──────────────────────────────────────────────────────────────────────────────────
## Monte Carlo (Quasi-Bayesian) Confidence Interval
## (Effect, SE, and CI are estimated based on 1000 Monte Carlo samples.)
## 
## Note. The results based on bootstrapping or other random processes
## are unlikely identical to other statistical software (e.g., SPSS).
## To make results reproducible, you need to set a seed (any number).
## Please see the help page for details: help(PROCESS)
## Ignore this note if you have already set a seed. :)