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Study 1

Confirmatory Factor Analysis

Three-Factor Model (Efficacy Scales)

ThreeFactor_model <- '
  # Factor 1: Bias-Awareness Efficacy
  Awareness =~ DSE_Aware_1_t2 + DSE_Aware_2_t2 + DSE_Aware_3_t2

  # Factor 2: Self-Regulation Efficacy
  Regulation =~ DSE_Regulate_1_t2 + DSE_Regulate_2_t2 + DSE_Regulate_3_t2 +
                DSE_Regulate_4_t2 + DSE_Regulate_5_t2

  # Factor 3: Intergroup-Management Efficacy
  Management =~ DSE_Management_1_t2 + DSE_Management_2_t2 + DSE_Management_3_t2 +
                DSE_Management_4_t2 + DSE_Management_5_t2
'

ThreeFactor_fit <- cfa(ThreeFactor_model, Study_1_CFA, estimator = "ML")

# plot CFA results
semPaths(ThreeFactor_fit, "std", weighted = FALSE, nCharNodes = 7, 
         shapeMan = "rectangle", sizeMan = 8, sizeMan2 = 5)

## Fit Indices:
## 
##   chisq      df  pvalue     cfi    srmr 
## 178.794  62.000   0.000   0.957   0.042
## Standardized Factor Loadings:
## 
##                     Awrnss Regltn Mngmnt
## DSE_Aware_1_t2       0.894  0.000  0.000
## DSE_Aware_2_t2       0.866  0.000  0.000
## DSE_Aware_3_t2       0.912  0.000  0.000
## DSE_Regulate_1_t2    0.000  0.784  0.000
## DSE_Regulate_2_t2    0.000  0.847  0.000
## DSE_Regulate_3_t2    0.000  0.807  0.000
## DSE_Regulate_4_t2    0.000  0.814  0.000
## DSE_Regulate_5_t2    0.000  0.870  0.000
## DSE_Management_1_t2  0.000  0.000  0.891
## DSE_Management_2_t2  0.000  0.000  0.879
## DSE_Management_3_t2  0.000  0.000  0.912
## DSE_Management_4_t2  0.000  0.000  0.916
## DSE_Management_5_t2  0.000  0.000  0.866
## 
## 
## Explained Variance (R²):
## 
##      DSE_Aware_1_t2      DSE_Aware_2_t2      DSE_Aware_3_t2   DSE_Regulate_1_t2 
##               0.799               0.750               0.832               0.614 
##   DSE_Regulate_2_t2   DSE_Regulate_3_t2   DSE_Regulate_4_t2   DSE_Regulate_5_t2 
##               0.717               0.651               0.662               0.757 
## DSE_Management_1_t2 DSE_Management_2_t2 DSE_Management_3_t2 DSE_Management_4_t2 
##               0.793               0.773               0.831               0.839 
## DSE_Management_5_t2 
##               0.751

One-Factor Model (Efficacy Scales)

OneFactor_model <- '
  # One Factor: Bias-Awareness, Self-Regulation, & Intergroup-Management Efficacy
  OneFactor =~ DSE_Aware_1_t2 + DSE_Aware_2_t2 + DSE_Aware_3_t2 + 
               DSE_Regulate_1_t2 + DSE_Regulate_2_t2 + DSE_Regulate_3_t2 +
               DSE_Regulate_4_t2 + DSE_Regulate_5_t2 +
               DSE_Management_1_t2 + DSE_Management_2_t2 + DSE_Management_3_t2 +
                DSE_Management_4_t2 + DSE_Management_5_t2
'

OneFactor_fit <- cfa(OneFactor_model, Study_1_CFA, estimator = "ML")
## Fit Indices:
## 
##   chisq      df  pvalue     cfi    srmr 
## 783.767  65.000   0.000   0.738   0.125
## Standardized Factor Loadings:
## 
##                     OnFctr
## DSE_Aware_1_t2       0.782
## DSE_Aware_2_t2       0.799
## DSE_Aware_3_t2       0.794
## DSE_Regulate_1_t2    0.495
## DSE_Regulate_2_t2    0.580
## DSE_Regulate_3_t2    0.640
## DSE_Regulate_4_t2    0.589
## DSE_Regulate_5_t2    0.645
## DSE_Management_1_t2  0.885
## DSE_Management_2_t2  0.864
## DSE_Management_3_t2  0.871
## DSE_Management_4_t2  0.881
## DSE_Management_5_t2  0.865
## 
## 
## Explained Variance (R²):
## 
##      DSE_Aware_1_t2      DSE_Aware_2_t2      DSE_Aware_3_t2   DSE_Regulate_1_t2 
##               0.611               0.639               0.631               0.245 
##   DSE_Regulate_2_t2   DSE_Regulate_3_t2   DSE_Regulate_4_t2   DSE_Regulate_5_t2 
##               0.337               0.410               0.347               0.416 
## DSE_Management_1_t2 DSE_Management_2_t2 DSE_Management_3_t2 DSE_Management_4_t2 
##               0.783               0.746               0.758               0.777 
## DSE_Management_5_t2 
##               0.748
## 
## 
##  Three-Factor vs One-Factor Model:
## 
## Chi-Squared Difference Test
## 
##                 Df    AIC    BIC  Chisq Chisq diff   RMSEA Df diff Pr(>Chisq)
## ThreeFactor_fit 62 6180.3 6279.1 178.79                                      
## OneFactor_fit   65 6779.3 6867.8 783.77     604.97 0.94858       3  < 2.2e-16
##                    
## ThreeFactor_fit    
## OneFactor_fit   ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Seven-Factor Measurement Model (All Seven Multi-Item Scales)

SevenFactor_model <- '
  # Factor 1: Bias-Awareness Efficacy
  Awareness =~ DSE_Aware_1_t2 + DSE_Aware_2_t2 + DSE_Aware_3_t2

  # Factor 2: Self-Regulation Efficacy
  Regulation =~ DSE_Regulate_1_t2 + DSE_Regulate_2_t2 + DSE_Regulate_3_t2 +
                DSE_Regulate_4_t2 + DSE_Regulate_5_t2

  # Factor 3: Intergroup-Management Efficacy
  Management =~ DSE_Management_1_t2 + DSE_Management_2_t2 + DSE_Management_3_t2 +
                DSE_Management_4_t2 + DSE_Management_5_t2

  # Factor 4: Leader Diversity Advocacy
  InclusiveLeadership =~ Inclusive_Leader_1_t1 + Inclusive_Leader_2_t1 +
                         Inclusive_Leader_3_t1 + Inclusive_Leader_4_t1

  # Factor 5: Pro-Diversity Attitudes
  ProDiversity =~ ProDiversity_1_t1 + ProDiversity_2_t1 +
                  ProDiversity_3_t1 + ProDiversity_4_t1

  # Factor 6: Relational Allyship
  RelationalAlly =~ Relational_Allyship_1_t3 + Relational_Allyship_2_t3 +
                    Relational_Allyship_3_t3 + Relational_Allyship_4_t3 +
                    Relational_Allyship_5_t3 + Relational_Allyship_6_t3 +
                    Relational_Allyship_7_t3

  # Factor 7: Organizational Allyship
  OrgAlly =~ Org_Allyship_1_t3 + Org_Allyship_2_t3 + Org_Allyship_3_t3 +
             Org_Allyship_4_t3 + Org_Allyship_5_t3 + Org_Allyship_6_t3 +
             Org_Allyship_7_t3 + Org_Allyship_8_t3 + Org_Allyship_9_t3
'

SevenFactor_fit <- cfa(SevenFactor_model, Study_1_CFA, estimator = "ML")
## Fit Indices:
## 
##    chisq       df   pvalue      cfi     srmr 
## 1263.032  608.000    0.000    0.936    0.046
## Standardized Factor Loadings:
## 
##                          Awrnss Regltn Mngmnt InclsL PrDvrs RltnlA OrgAll
## DSE_Aware_1_t2            0.895  0.000  0.000  0.000  0.000  0.000  0.000
## DSE_Aware_2_t2            0.865  0.000  0.000  0.000  0.000  0.000  0.000
## DSE_Aware_3_t2            0.912  0.000  0.000  0.000  0.000  0.000  0.000
## DSE_Regulate_1_t2         0.000  0.791  0.000  0.000  0.000  0.000  0.000
## DSE_Regulate_2_t2         0.000  0.855  0.000  0.000  0.000  0.000  0.000
## DSE_Regulate_3_t2         0.000  0.790  0.000  0.000  0.000  0.000  0.000
## DSE_Regulate_4_t2         0.000  0.805  0.000  0.000  0.000  0.000  0.000
## DSE_Regulate_5_t2         0.000  0.878  0.000  0.000  0.000  0.000  0.000
## DSE_Management_1_t2       0.000  0.000  0.890  0.000  0.000  0.000  0.000
## DSE_Management_2_t2       0.000  0.000  0.878  0.000  0.000  0.000  0.000
## DSE_Management_3_t2       0.000  0.000  0.915  0.000  0.000  0.000  0.000
## DSE_Management_4_t2       0.000  0.000  0.919  0.000  0.000  0.000  0.000
## DSE_Management_5_t2       0.000  0.000  0.870  0.000  0.000  0.000  0.000
## Inclusive_Leader_1_t1     0.000  0.000  0.000  0.884  0.000  0.000  0.000
## Inclusive_Leader_2_t1     0.000  0.000  0.000  0.948  0.000  0.000  0.000
## Inclusive_Leader_3_t1     0.000  0.000  0.000  0.932  0.000  0.000  0.000
## Inclusive_Leader_4_t1     0.000  0.000  0.000  0.936  0.000  0.000  0.000
## ProDiversity_1_t1         0.000  0.000  0.000  0.000  0.901  0.000  0.000
## ProDiversity_2_t1         0.000  0.000  0.000  0.000  0.932  0.000  0.000
## ProDiversity_3_t1         0.000  0.000  0.000  0.000  0.864  0.000  0.000
## ProDiversity_4_t1         0.000  0.000  0.000  0.000  0.902  0.000  0.000
## Relational_Allyship_1_t3  0.000  0.000  0.000  0.000  0.000  0.879  0.000
## Relational_Allyship_2_t3  0.000  0.000  0.000  0.000  0.000  0.877  0.000
## Relational_Allyship_3_t3  0.000  0.000  0.000  0.000  0.000  0.918  0.000
## Relational_Allyship_4_t3  0.000  0.000  0.000  0.000  0.000  0.924  0.000
## Relational_Allyship_5_t3  0.000  0.000  0.000  0.000  0.000  0.907  0.000
## Relational_Allyship_6_t3  0.000  0.000  0.000  0.000  0.000  0.820  0.000
## Relational_Allyship_7_t3  0.000  0.000  0.000  0.000  0.000  0.852  0.000
## Org_Allyship_1_t3         0.000  0.000  0.000  0.000  0.000  0.000  0.929
## Org_Allyship_2_t3         0.000  0.000  0.000  0.000  0.000  0.000  0.920
## Org_Allyship_3_t3         0.000  0.000  0.000  0.000  0.000  0.000  0.933
## Org_Allyship_4_t3         0.000  0.000  0.000  0.000  0.000  0.000  0.917
## Org_Allyship_5_t3         0.000  0.000  0.000  0.000  0.000  0.000  0.930
## Org_Allyship_6_t3         0.000  0.000  0.000  0.000  0.000  0.000  0.930
## Org_Allyship_7_t3         0.000  0.000  0.000  0.000  0.000  0.000  0.918
## Org_Allyship_8_t3         0.000  0.000  0.000  0.000  0.000  0.000  0.921
## Org_Allyship_9_t3         0.000  0.000  0.000  0.000  0.000  0.000  0.934
## 
## 
## Explained Variance (R²):
## 
##           DSE_Aware_1_t2           DSE_Aware_2_t2           DSE_Aware_3_t2 
##                    0.801                    0.748                    0.831 
##        DSE_Regulate_1_t2        DSE_Regulate_2_t2        DSE_Regulate_3_t2 
##                    0.625                    0.732                    0.624 
##        DSE_Regulate_4_t2        DSE_Regulate_5_t2      DSE_Management_1_t2 
##                    0.648                    0.771                    0.792 
##      DSE_Management_2_t2      DSE_Management_3_t2      DSE_Management_4_t2 
##                    0.770                    0.837                    0.844 
##      DSE_Management_5_t2    Inclusive_Leader_1_t1    Inclusive_Leader_2_t1 
##                    0.758                    0.782                    0.899 
##    Inclusive_Leader_3_t1    Inclusive_Leader_4_t1        ProDiversity_1_t1 
##                    0.869                    0.875                    0.812 
##        ProDiversity_2_t1        ProDiversity_3_t1        ProDiversity_4_t1 
##                    0.868                    0.746                    0.813 
## Relational_Allyship_1_t3 Relational_Allyship_2_t3 Relational_Allyship_3_t3 
##                    0.773                    0.769                    0.843 
## Relational_Allyship_4_t3 Relational_Allyship_5_t3 Relational_Allyship_6_t3 
##                    0.853                    0.823                    0.672 
## Relational_Allyship_7_t3        Org_Allyship_1_t3        Org_Allyship_2_t3 
##                    0.725                    0.864                    0.846 
##        Org_Allyship_3_t3        Org_Allyship_4_t3        Org_Allyship_5_t3 
##                    0.870                    0.841                    0.865 
##        Org_Allyship_6_t3        Org_Allyship_7_t3        Org_Allyship_8_t3 
##                    0.865                    0.842                    0.848 
##        Org_Allyship_9_t3 
##                    0.872

Six-Factor Alternative Model #1 (Combine outcomes into single factor)

SixFactor_model <- '
  # Factor 1: Bias-Awareness Efficacy
  Awareness =~ DSE_Aware_1_t2 + DSE_Aware_2_t2 + DSE_Aware_3_t2

  # Factor 2: Self-Regulation Efficacy
  Regulation =~ DSE_Regulate_1_t2 + DSE_Regulate_2_t2 + DSE_Regulate_3_t2 +
                DSE_Regulate_4_t2 + DSE_Regulate_5_t2

  # Factor 3: Intergroup-Management Efficacy
  Management =~ DSE_Management_1_t2 + DSE_Management_2_t2 + DSE_Management_3_t2 +
                DSE_Management_4_t2 + DSE_Management_5_t2

  # Factor 4: Leader Diversity Advocacy
  InclusiveLeadership =~ Inclusive_Leader_1_t1 + Inclusive_Leader_2_t1 +
                         Inclusive_Leader_3_t1 + Inclusive_Leader_4_t1

  # Factor 5: Pro-Diversity Attitudes
  ProDiversity =~ ProDiversity_1_t1 + ProDiversity_2_t1 +
                  ProDiversity_3_t1 + ProDiversity_4_t1

  # Factor 6: Relational Allyship & Organizational Allyship
  Outcomes =~ Relational_Allyship_1_t3 + Relational_Allyship_2_t3 +
                    Relational_Allyship_3_t3 + Relational_Allyship_4_t3 +
                    Relational_Allyship_5_t3 + Relational_Allyship_6_t3 +
                    Relational_Allyship_7_t3 +
                    Org_Allyship_1_t3 + Org_Allyship_2_t3 + Org_Allyship_3_t3 +
                    Org_Allyship_4_t3 + Org_Allyship_5_t3 + Org_Allyship_6_t3 +
                    Org_Allyship_7_t3 + Org_Allyship_8_t3 + Org_Allyship_9_t3
'

SixFactor_fit1 <- cfa(SixFactor_model, Study_1_CFA, estimator = "ML")

Six-Factor Alternative Model #2 (Combine predictors into single factor)

SixFactor2_model <- '
  # Factor 1: Bias-Awareness Efficacy
  Awareness =~ DSE_Aware_1_t2 + DSE_Aware_2_t2 + DSE_Aware_3_t2

  # Factor 2: Self-Regulation Efficacy
  Regulation =~ DSE_Regulate_1_t2 + DSE_Regulate_2_t2 + DSE_Regulate_3_t2 +
                DSE_Regulate_4_t2 + DSE_Regulate_5_t2

  # Factor 3: Intergroup-Management Efficacy
  Management =~ DSE_Management_1_t2 + DSE_Management_2_t2 + DSE_Management_3_t2 +
                DSE_Management_4_t2 + DSE_Management_5_t2

  # Factor 4: Leader Diversity Advocacy & Pro-Diversity Attitudes
  Predictors =~ Inclusive_Leader_1_t1 + Inclusive_Leader_2_t1 +
                         Inclusive_Leader_3_t1 + Inclusive_Leader_4_t1 +
                         ProDiversity_1_t1 + ProDiversity_2_t1 +
                         ProDiversity_3_t1 + ProDiversity_4_t1

  # Factor 5: Relational Allyship
  RelationalAlly =~ Relational_Allyship_1_t3 + Relational_Allyship_2_t3 +
                    Relational_Allyship_3_t3 + Relational_Allyship_4_t3 +
                    Relational_Allyship_5_t3 + Relational_Allyship_6_t3 +
                    Relational_Allyship_7_t3

  # Factor 6: Organizational Allyship
  OrgAlly =~ Org_Allyship_1_t3 + Org_Allyship_2_t3 + Org_Allyship_3_t3 +
             Org_Allyship_4_t3 + Org_Allyship_5_t3 + Org_Allyship_6_t3 +
             Org_Allyship_7_t3 + Org_Allyship_8_t3 + Org_Allyship_9_t3 
'

SixFactor_fit2 <- cfa(SixFactor2_model, Study_1_CFA, estimator = "ML")

Five-Factor Alternative Model #3 (Combine predictors/outcomes into single factor)

FiveFactor_model <- '
  # Factor 1: Bias-Awareness Efficacy
  Awareness =~ DSE_Aware_1_t2 + DSE_Aware_2_t2 + DSE_Aware_3_t2

  # Factor 2: Self-Regulation Efficacy
  Regulation =~ DSE_Regulate_1_t2 + DSE_Regulate_2_t2 + DSE_Regulate_3_t2 +
                DSE_Regulate_4_t2 + DSE_Regulate_5_t2

  # Factor 3: Intergroup-Management Efficacy
  Management =~ DSE_Management_1_t2 + DSE_Management_2_t2 + DSE_Management_3_t2 +
                DSE_Management_4_t2 + DSE_Management_5_t2

  # Factor 4: Leader Diversity Advocacy & Pro-Diversity Attitudes
  Predictors =~ Inclusive_Leader_1_t1 + Inclusive_Leader_2_t1 +
                         Inclusive_Leader_3_t1 + Inclusive_Leader_4_t1 +
                         ProDiversity_1_t1 + ProDiversity_2_t1 +
                         ProDiversity_3_t1 + ProDiversity_4_t1

  # Factor 5: Relational Allyship & Organizational Allyship
  Outcomes =~ Relational_Allyship_1_t3 + Relational_Allyship_2_t3 +
                    Relational_Allyship_3_t3 + Relational_Allyship_4_t3 +
                    Relational_Allyship_5_t3 + Relational_Allyship_6_t3 +
                    Relational_Allyship_7_t3 +
                    Org_Allyship_1_t3 + Org_Allyship_2_t3 + Org_Allyship_3_t3 +
                    Org_Allyship_4_t3 + Org_Allyship_5_t3 + Org_Allyship_6_t3 +
                    Org_Allyship_7_t3 + Org_Allyship_8_t3 + Org_Allyship_9_t3
'

FiveFactor_fit <- cfa(FiveFactor_model, Study_1_CFA, estimator = "ML")

Table 1: Model Comparison

## 
## Chi-Squared Difference Test
## 
##                  Df   AIC   BIC  Chisq Chisq diff   RMSEA Df diff Pr(>Chisq)
## SevenFactor_fit 608 16468 16790 1263.0                                      
## SixFactor_fit1  614 17510 17812 2317.5    1054.45 0.89122       6  < 2.2e-16
## SixFactor_fit2  614 17177 17479 1984.4     721.39 0.73618       6  < 2.2e-16
## FiveFactor_fit  619 18201 18486 3018.2    1755.13 0.84895      11  < 2.2e-16
##                    
## SevenFactor_fit    
## SixFactor_fit1  ***
## SixFactor_fit2  ***
## FiveFactor_fit  ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##                       cfi       srmr
## SevenFactor     0.9360565 0.04608307
## SixFactor_Alt1  0.8337080 0.10531765
## SixFactor_Alt2  0.8662205 0.09155365
## FiveFactor_Alt3 0.7657961 0.13010189

Reliability Estimates (Cronbach Alpha) - Study 1 Measures

## Alpha for bias-awareness efficacy:     0.9173952 
##  Alpha for self-regulation efficacy:    0.9139933 
##  Alpha for intergroup-management efficacy: 0.9512536
## Alpha for relational ally work: 0.9608815 
##  Alpha for organizational ally work: 0.9817662
## Alpha for leader diversity advocacy: 0.9596095 
##  Alpha for pro-diversity attitudes: 0.9409475

Table 2: Descriptives & Correlations

## 
## 
## Means, standard deviations, and correlations with confidence intervals
##  
## 
##   Variable    M    SD   1            2           3            4         
##   1. Male     0.59 0.49                                                 
##                                                                         
##   2. White    0.71 0.46 -.06                                            
##                         [-.19, .07]                                     
##                                                                         
##   3. Ideology 3.31 1.88 .15*         .10                                
##                         [.02, .28]   [-.03, .23]                        
##                                                                         
##   4. LdrDivAd 3.27 1.23 -.11         -.11        -.06                   
##                         [-.24, .02]  [-.24, .02] [-.19, .07]            
##                                                                         
##   5. PDB      4.32 0.98 -.24**       -.08        -.48**       .45**     
##                         [-.36, -.12] [-.20, .06] [-.57, -.37] [.34, .55]
##                                                                         
##   6. Aware    3.69 1.08 -.14*        .00         -.23**       .38**     
##                         [-.26, -.01] [-.13, .13] [-.35, -.10] [.26, .48]
##                                                                         
##   7. Regulate 4.28 0.77 -.15*        .08         -.16*        .29**     
##                         [-.27, -.02] [-.05, .21] [-.28, -.03] [.17, .41]
##                                                                         
##   8. Manage   3.41 1.20 -.12         -.03        -.19**       .51**     
##                         [-.24, .01]  [-.16, .11] [-.31, -.06] [.41, .61]
##                                                                         
##   9. OrgAlly  2.56 1.28 -.09         -.03        -.12         .56**     
##                         [-.22, .04]  [-.17, .10] [-.25, .01]  [.46, .64]
##                                                                         
##   10. RelAlly 3.55 0.95 -.16*        -.03        -.27**       .55**     
##                         [-.29, -.03] [-.16, .10] [-.38, -.14] [.45, .63]
##                                                                         
##   5          6          7          8          9         
##                                                         
##                                                         
##                                                         
##                                                         
##                                                         
##                                                         
##                                                         
##                                                         
##                                                         
##                                                         
##                                                         
##                                                         
##                                                         
##                                                         
##   .41**                                                 
##   [.30, .51]                                            
##                                                         
##   .37**      .58**                                      
##   [.26, .48] [.49, .66]                                 
##                                                         
##   .41**      .77**      .57**                           
##   [.30, .52] [.72, .82] [.48, .65]                      
##                                                         
##   .41**      .48**      .25**      .59**                
##   [.30, .52] [.38, .58] [.12, .37] [.50, .67]           
##                                                         
##   .61**      .51**      .51**      .54**      .68**     
##   [.51, .68] [.41, .60] [.41, .60] [.44, .63] [.61, .75]
##                                                         
## 
## Note. M and SD are used to represent mean and standard deviation, respectively.
## Values in square brackets indicate the 95% confidence interval.
## The confidence interval is a plausible range of population correlations 
## that could have caused the sample correlation (Cumming, 2014).
##  * indicates p < .05. ** indicates p < .01.
## 

Run Mplus Path Models

Hypotheses 1a-b: Direct Effect Analysis

## Mplus VERSION 8.11 (Mac)
## MUTHEN & MUTHEN
## 04/08/2026  10:49 AM
## 
## INPUT INSTRUCTIONS
## 
##   TITLE: Study 1
##   DATA: FILE = "Study1.dat";
##   VARIABLE:
##     NAMES = Male White Ideology LdrDivAd PDB Aware Regulate Manage OrgAlly RelAlly;
##   MISSING = ALL (999);
## 
##   USEVARIABLES LdrDivAd PDB OrgAlly RelAlly
##           PolID;
## 
##   DEFINE:
##   ! Political Ideology centered at the scale midpoint (= 4)
##   PolID = Ideology - 4;
## 
##   ! Grand-mean center Leader Diversity Advocacy and Pro-Diversity Attitudes
##   CENTER LdrDivAd PDB (GRANDMEAN);
## 
##   ANALYSIS:
##     ESTIMATOR = ML;
## 
##   MODEL:
##     OrgAlly RelAlly ON PolID PDB LdrDivAd;
## 
##     ! Covariances among predictors
##     PDB WITH LdrDivAd PolID;
##     LdrDivAd WITH PolID;
## 
## 
## 
## INPUT READING TERMINATED NORMALLY
## 
## 
## 
## Study 1
## 
## SUMMARY OF ANALYSIS
## 
## Number of groups                                                 1
## Number of observations                                         224
## 
## Number of dependent variables                                    2
## Number of independent variables                                  3
## Number of continuous latent variables                            0
## 
## Observed dependent variables
## 
##   Continuous
##    ORGALLY     RELALLY
## 
## Observed independent variables
##    LDRDIVAD    PDB         POLID
## 
## Variables with special functions
## 
##   Centering (GRANDMEAN)
##    LDRDIVAD    PDB
## 
## 
## Estimator                                                       ML
## Information matrix                                        OBSERVED
## Maximum number of iterations                                  1000
## Convergence criterion                                    0.500D-04
## Maximum number of steepest descent iterations                   20
## Maximum number of iterations for H1                           2000
## Convergence criterion for H1                             0.100D-03
## 
## Input data file(s)
##   Study1.dat
## 
## Input data format  FREE
## 
## 
## SUMMARY OF DATA
## 
##      Number of missing data patterns             1
## 
## 
## COVARIANCE COVERAGE OF DATA
## 
## Minimum covariance coverage value   0.100
## 
## 
##      PROPORTION OF DATA PRESENT
## 
## 
##            Covariance Coverage
##               ORGALLY       RELALLY       LDRDIVAD      PDB           POLID
##               ________      ________      ________      ________      ________
##  ORGALLY        1.000
##  RELALLY        1.000         1.000
##  LDRDIVAD       1.000         1.000         1.000
##  PDB            1.000         1.000         1.000         1.000
##  POLID          1.000         1.000         1.000         1.000         1.000
## 
## 
## 
## UNIVARIATE SAMPLE STATISTICS
## 
## 
##      UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS
## 
##          Variable/         Mean/     Skewness/   Minimum/ % with                Percentiles
##         Sample Size      Variance    Kurtosis    Maximum  Min/Max      20%/60%    40%/80%    Median
## 
##      ORGALLY               2.558       0.306       1.000   21.43%       1.000      2.000      2.556
##              224.000       1.627      -1.041       5.000    6.70%       3.000      3.778
##      RELALLY               3.548      -0.668       1.250    3.12%       2.875      3.375      3.750
##              224.000       0.890      -0.233       5.000    0.45%       3.875      4.500
##      LDRDIVAD              0.000      -0.436      -2.269   12.05%      -1.019     -0.269     -0.019
##              224.000       1.503      -0.730       1.731   12.05%       0.481      0.981
##      PDB                   0.000      -1.748      -3.318    1.34%      -0.568      0.182      0.432
##              224.000       0.947       2.453       0.682   45.98%       0.682      0.682
##      POLID                -0.688       0.488      -3.000   19.20%      -2.000     -2.000     -1.000
##              224.000       3.509      -0.878       3.000    8.04%       0.000      1.000
## 
## 
## THE MODEL ESTIMATION TERMINATED NORMALLY
## 
## 
## 
## MODEL FIT INFORMATION
## 
## Number of Free Parameters                       20
## 
## Loglikelihood
## 
##           H0 Value                       -1601.200
##           H1 Value                       -1601.200
## 
## Information Criteria
## 
##           Akaike (AIC)                    3242.399
##           Bayesian (BIC)                  3310.632
##           Sample-Size Adjusted BIC        3247.249
##             (n* = (n + 2) / 24)
## 
## Chi-Square Test of Model Fit
## 
##           Value                              0.000
##           Degrees of Freedom                     0
##           P-Value                           0.0000
## 
## RMSEA (Root Mean Square Error Of Approximation)
## 
##           Estimate                           0.000
##           90 Percent C.I.                    0.000  0.000
##           Probability RMSEA <= .05           0.000
## 
## CFI/TLI
## 
##           CFI                                1.000
##           TLI                                1.000
## 
## Chi-Square Test of Model Fit for the Baseline Model
## 
##           Value                            302.496
##           Degrees of Freedom                     7
##           P-Value                           0.0000
## 
## SRMR (Standardized Root Mean Square Residual)
## 
##           Value                              0.000
## 
## 
## 
## MODEL RESULTS
## 
##                                                     Two-Tailed
##                     Estimate       S.E.  Est./S.E.    P-Value
## 
##  ORGALLY  ON
##     POLID              0.005      0.043      0.113      0.910
##     PDB                0.271      0.092      2.945      0.003
##     LDRDIVAD           0.484      0.064      7.533      0.000
## 
##  RELALLY  ON
##     POLID             -0.019      0.029     -0.662      0.508
##     PDB                0.417      0.062      6.775      0.000
##     LDRDIVAD           0.269      0.043      6.253      0.000
## 
##  PDB      WITH
##     LDRDIVAD           0.536      0.087      6.131      0.000
##     POLID             -0.870      0.135     -6.444      0.000
## 
##  LDRDIVAD WITH
##     POLID             -0.149      0.154     -0.968      0.333
## 
##  RELALLY  WITH
##     ORGALLY            0.371      0.054      6.881      0.000
## 
##  Means
##     LDRDIVAD           0.000      0.082      0.000      1.000
##     PDB                0.000      0.065      0.000      1.000
##     POLID             -0.688      0.125     -5.492      0.000
## 
##  Intercepts
##     ORGALLY            2.561      0.075     34.119      0.000
##     RELALLY            3.535      0.050     70.302      0.000
## 
##  Variances
##     LDRDIVAD           1.503      0.142     10.583      0.000
##     PDB                0.947      0.089     10.583      0.000
##     POLID              3.510      0.332     10.583      0.000
## 
##  Residual Variances
##     ORGALLY            1.069      0.101     10.583      0.000
##     RELALLY            0.480      0.045     10.583      0.000
## 
## 
## QUALITY OF NUMERICAL RESULTS
## 
##      Condition Number for the Information Matrix              0.559E-02
##        (ratio of smallest to largest eigenvalue)
## 
## 
##      Beginning Time:  10:49:55
##         Ending Time:  10:49:55
##        Elapsed Time:  00:00:00
## 
## 
## 
## MUTHEN & MUTHEN
## 3463 Stoner Ave.
## Los Angeles, CA  90066
## 
## Tel: (310) 391-9971
## Fax: (310) 391-8971
## Web: www.StatModel.com
## Support: Support@StatModel.com
## 
## Copyright (c) 1998-2024 Muthen & Muthen

Hypothesis 2a: Mediation Analysis

res <- readModels("Mplus Syntax/Study 1 Syntax & Output/Hannah_Study 1/Study1_Mediation_RelAlly (H2a_H3).out")

# Extract coefficients
a_est <- res$parameters$unstandardized$est[2]  # Effect of X on M (a-path)
b_est <- res$parameters$unstandardized$est[8]  # Effect of M on Y (b-path)

# Extract standard errors
a_se <- res$parameters$unstandardized$se[2]
b_se <- res$parameters$unstandardized$se[8]

# Compute Monte Carlo confidence interval
mc_ci <- medci(mu.x = a_est, mu.y = b_est, se.x = a_se, se.y = b_se,
               rho = 0, alpha = .05, sims = 10000, method = "parametric")
## Indirect effect estimate: 0.02438
## Indirect effect standard error: 0.0130437
## Monte Carlo 95% CI: [ 0.002680119 , 0.05340348 ]

Hypothesis 3: Mediation Analysis

# Extract coefficients
a_est <- res$parameters$unstandardized$est[4]  # Effect of X on M (a-path)
b_est <- res$parameters$unstandardized$est[9]  # Effect of M on Y (b-path)

# Extract standard errors
a_se <- res$parameters$unstandardized$se[4]
b_se <- res$parameters$unstandardized$se[9]

# Compute Monte Carlo confidence interval
mc_ci <- medci(mu.x = a_est, mu.y = b_est, se.x = a_se, se.y = b_se,
               rho = 0, alpha = .05, sims = 10000, method = "parametric")
## Indirect effect estimate: 0.027819
## Indirect effect standard error: 0.01419382
## Monte Carlo 95% CI: [ 0.003669805 , 0.05903483 ]

Table 3: Conditional Path Model for Relational Ally Work

## Mplus VERSION 8.11 (Mac)
## MUTHEN & MUTHEN
## 09/04/2025  11:42 AM
## 
## INPUT INSTRUCTIONS
## 
##   TITLE: Study 1: Moderated Mediation Models
##   DATA: FILE = "Study1.dat";
##   VARIABLE:
##     NAMES = Male White Ideology LdrDivAd PDB Aware Regulate Manage OrgAlly RelAlly;
##   MISSING = ALL (999);
## 
##   USEVARIABLES LdrDivAd PDB Aware Regulate RelAlly
##           PolID LDA_PDB
## 
##   DEFINE:
##   ! Political Ideology centered at the scale midpoint (= 4)
##   PolID = Ideology - 4;
## 
##   ! Grand-mean center Leader Diversity Advocacy and Pro-Diversity Attitudes
##   CENTER LdrDivAd PDB (GRANDMEAN);
## 
##   ! Create interaction term
##   LDA_PDB = LdrDivAd * PDB;
## 
##   ANALYSIS:
##     ESTIMATOR = ML;
## 
##   MODEL:
##     Aware    ON PDB (a2)
##                 LdrDivAd (a1)
##                 LDA_PDB (a3);
## 
##     Regulate ON PDB (b2)
##                 LdrDivAd (b1)
##                 LDA_PDB (b3);
## 
##     RelAlly  ON PolID
##                 PDB
##                 LdrDivAd
##                 Aware (aw)
##                 Regulate (rg);
## 
##     PDB WITH LdrDivAd PolID;
##   LdrDivAd WITH PolID;
##     Aware WITH Regulate;
## 
##   MODEL CONSTRAINT:
## 
##           LOOP(PDB, -1.96, 1.96, .98); ! Two Standard Deviations Below/Above Mean
##           PLOT(
##                ! LdrDivAd_aw
##                LdrDivAd_rg
##                );
##           ! LdrDivAd_aw = (a1 + a3*PDB)*aw;
##           LdrDivAd_rg = (b1 + b3*PDB)*rg;
## 
##   PLOT: TYPE = PLOT2;
## 
## 
## 
## 
## 
## 
## INPUT READING TERMINATED NORMALLY
## 
## 
## 
## Study 1: Moderated Mediation Models
## 
## SUMMARY OF ANALYSIS
## 
## Number of groups                                                 1
## Number of observations                                         224
## 
## Number of dependent variables                                    3
## Number of independent variables                                  4
## Number of continuous latent variables                            0
## 
## Observed dependent variables
## 
##   Continuous
##    AWARE       REGULATE    RELALLY
## 
## Observed independent variables
##    LDRDIVAD    PDB         POLID       LDA_PDB
## 
## Variables with special functions
## 
##   Centering (GRANDMEAN)
##    LDRDIVAD    PDB
## 
## 
## Estimator                                                       ML
## Information matrix                                        OBSERVED
## Maximum number of iterations                                  1000
## Convergence criterion                                    0.500D-04
## Maximum number of steepest descent iterations                   20
## Maximum number of iterations for H1                           2000
## Convergence criterion for H1                             0.100D-03
## 
## Input data file(s)
##   Study1.dat
## 
## Input data format  FREE
## 
## 
## SUMMARY OF DATA
## 
##      Number of missing data patterns             1
## 
## 
## COVARIANCE COVERAGE OF DATA
## 
## Minimum covariance coverage value   0.100
## 
## 
##      PROPORTION OF DATA PRESENT
## 
## 
##            Covariance Coverage
##               AWARE         REGULATE      RELALLY       LDRDIVAD      PDB
##               ________      ________      ________      ________      ________
##  AWARE          1.000
##  REGULATE       1.000         1.000
##  RELALLY        1.000         1.000         1.000
##  LDRDIVAD       1.000         1.000         1.000         1.000
##  PDB            1.000         1.000         1.000         1.000         1.000
##  POLID          1.000         1.000         1.000         1.000         1.000
##  LDA_PDB        1.000         1.000         1.000         1.000         1.000
## 
## 
##            Covariance Coverage
##               POLID         LDA_PDB
##               ________      ________
##  POLID          1.000
##  LDA_PDB        1.000         1.000
## 
## 
## 
## UNIVARIATE SAMPLE STATISTICS
## 
## 
##      UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS
## 
##          Variable/         Mean/     Skewness/   Minimum/ % with                Percentiles
##         Sample Size      Variance    Kurtosis    Maximum  Min/Max      20%/60%    40%/80%    Median
## 
##      AWARE                 3.690      -0.610       1.000    1.79%       2.667      3.667      4.000
##              224.000       1.164      -0.498       5.000   20.09%       4.000      4.667
##      REGULATE              4.278      -1.277       1.400    0.45%       3.800      4.200      4.400
##              224.000       0.591       1.382       5.000   29.91%       4.600      5.000
##      RELALLY               3.548      -0.668       1.250    3.12%       2.875      3.375      3.750
##              224.000       0.890      -0.233       5.000    0.45%       3.875      4.500
##      LDRDIVAD              0.000      -0.436      -2.269   12.05%      -1.019     -0.269     -0.019
##              224.000       1.503      -0.730       1.731   12.05%       0.481      0.981
##      PDB                   0.000      -1.748      -3.318    1.34%      -0.568      0.182      0.432
##              224.000       0.947       2.453       0.682   45.98%       0.682      0.682
##      POLID                -0.688       0.488      -3.000   19.20%      -2.000     -2.000     -1.000
##              224.000       3.509      -0.878       3.000    8.04%       0.000      1.000
##      LDA_PDB               0.536       2.556      -2.282    0.45%      -0.183      0.088      0.222
##              224.000       2.016       8.309       7.529    0.45%       0.437      1.010
## 
## 
## THE MODEL ESTIMATION TERMINATED NORMALLY
## 
## 
## 
## MODEL FIT INFORMATION
## 
## Number of Free Parameters                       27
## 
## Loglikelihood
## 
##           H0 Value                       -1803.499
##           H1 Value                       -1744.261
## 
## Information Criteria
## 
##           Akaike (AIC)                    3660.998
##           Bayesian (BIC)                  3753.113
##           Sample-Size Adjusted BIC        3667.545
##             (n* = (n + 2) / 24)
## 
## Chi-Square Test of Model Fit
## 
##           Value                            118.476
##           Degrees of Freedom                     6
##           P-Value                           0.0000
## 
## RMSEA (Root Mean Square Error Of Approximation)
## 
##           Estimate                           0.289
##           90 Percent C.I.                    0.245  0.336
##           Probability RMSEA <= .05           0.000
## 
## CFI/TLI
## 
##           CFI                                0.658
##           TLI                                0.146
## 
## Chi-Square Test of Model Fit for the Baseline Model
## 
##           Value                            344.071
##           Degrees of Freedom                    15
##           P-Value                           0.0000
## 
## SRMR (Standardized Root Mean Square Residual)
## 
##           Value                              0.170
## 
## 
## 
## MODEL RESULTS
## 
##                                                     Two-Tailed
##                     Estimate       S.E.  Est./S.E.    P-Value
## 
##  AWARE    ON
##     PDB                0.531      0.092      5.791      0.000
##     LDRDIVAD           0.172      0.058      2.968      0.003
##     LDA_PDB            0.194      0.057      3.425      0.001
## 
##  REGULATE ON
##     PDB                0.325      0.069      4.723      0.000
##     LDRDIVAD           0.082      0.043      1.878      0.060
##     LDA_PDB            0.084      0.042      1.969      0.049
## 
##  RELALLY  ON
##     POLID             -0.013      0.027     -0.475      0.635
##     PDB                0.318      0.059      5.401      0.000
##     LDRDIVAD           0.215      0.041      5.254      0.000
##     AWARE              0.115      0.051      2.234      0.026
##     REGULATE           0.281      0.069      4.054      0.000
## 
##  PDB      WITH
##     LDRDIVAD           0.536      0.087      6.131      0.000
##     POLID             -0.869      0.135     -6.444      0.000
## 
##  LDRDIVAD WITH
##     POLID             -0.149      0.154     -0.968      0.333
## 
##  AWARE    WITH
##     REGULATE           0.309      0.048      6.417      0.000
## 
##  Means
##     LDRDIVAD           0.000      0.082      0.000      1.000
##     PDB                0.000      0.065      0.000      1.000
##     POLID             -0.688      0.125     -5.493      0.000
## 
##  Intercepts
##     AWARE              3.587      0.069     51.772      0.000
##     REGULATE           4.233      0.052     81.540      0.000
##     RELALLY            1.913      0.266      7.182      0.000
## 
##  Variances
##     LDRDIVAD           1.503      0.142     10.583      0.000
##     PDB                0.947      0.089     10.583      0.000
##     POLID              3.509      0.332     10.583      0.000
## 
##  Residual Variances
##     AWARE              0.869      0.082     10.583      0.000
##     REGULATE           0.488      0.046     10.583      0.000
##     RELALLY            0.407      0.038     10.583      0.000
## 
## 
## QUALITY OF NUMERICAL RESULTS
## 
##      Condition Number for the Information Matrix              0.522E-04
##        (ratio of smallest to largest eigenvalue)
## 
## 
## PLOT INFORMATION
## 
## The following plots are available:
## 
##   Loop plots
## 
##      Beginning Time:  11:42:56
##         Ending Time:  11:42:56
##        Elapsed Time:  00:00:00
## 
## 
## 
## MUTHEN & MUTHEN
## 3463 Stoner Ave.
## Los Angeles, CA  90066
## 
## Tel: (310) 391-9971
## Fax: (310) 391-8971
## Web: www.StatModel.com
## Support: Support@StatModel.com
## 
## Copyright (c) 1998-2024 Muthen & Muthen

Hypothesis 5a: Moderated Mediation (Bias-Awareness Efficacy and Relational Ally Work)

res <- readModels("Mplus Syntax/Study 1 Syntax & Output/Hannah_Study 1/Study1_Moderated Mediation_RelAlly (H5a-b).out")

# Extract coefficients
a_int <- res$parameters$unstandardized$est[3]  # Effect of XW on M (a-path)
b_est <- res$parameters$unstandardized$est[10]  # Effect of M on Y (b-path)

# Extract standard errors
a_int_se <- res$parameters$unstandardized$se[3]
b_se <- res$parameters$unstandardized$se[10]

# Compute Monte Carlo confidence interval
mc_ci <- medci(mu.x = a_int, mu.y = b_est, se.x = a_int_se, se.y = b_se,
               rho = 0, alpha = .05, sims = 10000, method = "parametric")
## 
## --- Index of Moderated Mediation ---
## Estimate: 0.02231
## Standard error: 0.01221924
## Monte Carlo 95% CI: [ 0.002302669 , 0.04970842 ]
# Conditional Indirect Effect for High and Low Pro-Diversity Attitudes
# Set moderator values (e.g., ±1 SD)
PDB_low <- -0.98  # 1 SD below mean
PDB_high <- 0.98  # 1 SD above mean

# Extract coefficient and standard error for leader diversity advocacy
a_main <- res$parameters$unstandardized$est[2]  # Effect of X on M (a-path)         
a_main_se <- res$parameters$unstandardized$se[2]

# Compute conditional a-paths
a_low  <- a_main + a_int * PDB_low
a_high <- a_main + a_int * PDB_high

# Compute SEs of conditional a-paths
a_low_se  <- sqrt(a_main_se^2 + (PDB_low^2 * a_int_se^2))
a_high_se <- sqrt(a_main_se^2 + (PDB_high^2 * a_int_se^2))

# Compute Monte Carlo CI for indirect effect at low PDB
mc_ci_low <- medci(mu.x = a_low, mu.y = b_est,
                   se.x = a_low_se, se.y = b_se,
                   rho = 0, alpha = 0.10, sims = 10000, method = "parametric")

# Compute Monte Carlo CI for indirect effect at high PDB
mc_ci_high <- medci(mu.x = a_high, mu.y = b_est,
                    se.x = a_high_se, se.y = b_se,
                    rho = 0, alpha = 0.05, sims = 10000, method = "parametric")
## 
## --- Conditional Indirect Effects ---
## At LOW PDB (-1 SD):
## Indirect effect estimate: -0.002
## Standard error (LOW PDB): 0.01
## Monte Carlo 90% CI: [ -0.019 , 0.014 ]
## At HIGH PDB (+1 SD):
## Indirect effect estimate: 0.042
## Standard error (HIGH PDB): 0.021
## Monte Carlo 95% CI: [ 0.005 , 0.087 ]

Hypothesis 5b: Moderated Mediation (Self-Regulation Efficacy and Relational Ally Work)

# Extract coefficients
a_int <- res$parameters$unstandardized$est[6]  # Effect of XW on M (a-path)
b_est <- res$parameters$unstandardized$est[11]  # Effect of M on Y (b-path)

# Extract standard errors
a_int_se <- res$parameters$unstandardized$se[6]
b_se <- res$parameters$unstandardized$se[11] 

# Compute Monte Carlo confidence interval (alpha = .10)
mc_ci <- medci(mu.x = a_int, mu.y = b_est, se.x = a_int_se, se.y = b_se,
               rho = 0, alpha = .05, sims = 10000, method = "parametric")
## 
## --- Index of Moderated Mediation ---
## Estimate: 0.023604
## Standard error: 0.013464
## Monte Carlo 95% CI: [ 0.0004302779 , 0.05311739 ]
# Conditional Indirect Effect for High and Low Pro-Diversity Attitudes
# Set moderator values (e.g., ±1 SD)
PDB_low <- -0.98  # 1 SD below mean
PDB_high <- 0.98  # 1 SD above mean

# Extract coefficient and standard error for leader diversity advocacy
a_main <- res$parameters$unstandardized$est[5]  # Effect of X on M (a-path)         
a_main_se <- res$parameters$unstandardized$se[5]

# Compute conditional a-paths
a_low  <- a_main + a_int * PDB_low
a_high <- a_main + a_int * PDB_high

# Compute SEs of conditional a-paths
a_low_se  <- sqrt(a_main_se^2 + (PDB_low^2 * a_int_se^2))
a_high_se <- sqrt(a_main_se^2 + (PDB_high^2 * a_int_se^2))

# Compute Monte Carlo CI for indirect effect at low PDB
mc_ci_low <- medci(mu.x = a_low, mu.y = b_est,
                   se.x = a_low_se, se.y = b_se,
                   rho = 0, alpha = 0.10, sims = 10000, method = "parametric")

# Compute Monte Carlo CI for indirect effect at high PDB
mc_ci_high <- medci(mu.x = a_high, mu.y = b_est,
                    se.x = a_high_se, se.y = b_se,
                    rho = 0, alpha = 0.05, sims = 10000, method = "parametric")
## 
## --- Conditional Indirect Effects ---
## At LOW PDB (-1 SD):
## Indirect effect estimate: -9e-05
## Standard error (LOW PDB): 0.017
## Monte Carlo 90% CI: [ -0.028 , 0.028 ]
## At HIGH PDB (+1 SD):
## Indirect effect estimate: 0.046
## Standard error (HIGH PDB): 0.021
## Monte Carlo 95% CI: [ 0.011 , 0.092 ]

View Johnson-Neyman Plots for Conditional Indirect Effects

Figure 1: Conditional Indirect Effect on Relationally Ally Work via Bias-Awareness Self-Efficacy

Figure 2: Conditional Indirect Effect on Relationally Ally Work via Self-Regulation Self-Efficacy

Table 3: Path Model for Organizational Ally Work

## Mplus VERSION 8.11 (Mac)
## MUTHEN & MUTHEN
## 09/04/2025  11:42 AM
## 
## INPUT INSTRUCTIONS
## 
##   TITLE: Study 1
##   DATA: FILE = "Study1.dat";
##   VARIABLE:
##     NAMES = Male White Ideology LdrDivAd PDB Aware Regulate Manage OrgAlly RelAlly;
##   MISSING = ALL (999);
## 
##   USEVARIABLES LdrDivAd PDB Aware Manage OrgAlly
##           PolID;
## 
##   DEFINE:
##   ! Political Ideology centered at the scale midpoint (= 4)
##   PolID = Ideology - 4;
## 
##   ! Grand-mean center Leader Diversity Advocacy and Pro-Diversity Attitudes
##   CENTER LdrDivAd PDB (GRANDMEAN);
## 
##   ANALYSIS:
##     ESTIMATOR = ML;
## 
##   MODEL:
##     Aware    ON PDB LdrDivAd;
##     Manage   ON PDB LdrDivAd;
## 
##     OrgAlly  ON PolID PDB LdrDivAd Aware Manage;
## 
## 
##     ! Covariances among predictors
##     PDB WITH LdrDivAd PolID;
##     LdrDivAd WITH PolID;
##     Aware WITH Manage;
## 
## 
## 
## INPUT READING TERMINATED NORMALLY
## 
## 
## 
## Study 1
## 
## SUMMARY OF ANALYSIS
## 
## Number of groups                                                 1
## Number of observations                                         224
## 
## Number of dependent variables                                    3
## Number of independent variables                                  3
## Number of continuous latent variables                            0
## 
## Observed dependent variables
## 
##   Continuous
##    AWARE       MANAGE      ORGALLY
## 
## Observed independent variables
##    LDRDIVAD    PDB         POLID
## 
## Variables with special functions
## 
##   Centering (GRANDMEAN)
##    LDRDIVAD    PDB
## 
## 
## Estimator                                                       ML
## Information matrix                                        OBSERVED
## Maximum number of iterations                                  1000
## Convergence criterion                                    0.500D-04
## Maximum number of steepest descent iterations                   20
## Maximum number of iterations for H1                           2000
## Convergence criterion for H1                             0.100D-03
## 
## Input data file(s)
##   Study1.dat
## 
## Input data format  FREE
## 
## 
## SUMMARY OF DATA
## 
##      Number of missing data patterns             1
## 
## 
## COVARIANCE COVERAGE OF DATA
## 
## Minimum covariance coverage value   0.100
## 
## 
##      PROPORTION OF DATA PRESENT
## 
## 
##            Covariance Coverage
##               AWARE         MANAGE        ORGALLY       LDRDIVAD      PDB
##               ________      ________      ________      ________      ________
##  AWARE          1.000
##  MANAGE         1.000         1.000
##  ORGALLY        1.000         1.000         1.000
##  LDRDIVAD       1.000         1.000         1.000         1.000
##  PDB            1.000         1.000         1.000         1.000         1.000
##  POLID          1.000         1.000         1.000         1.000         1.000
## 
## 
##            Covariance Coverage
##               POLID
##               ________
##  POLID          1.000
## 
## 
## 
## UNIVARIATE SAMPLE STATISTICS
## 
## 
##      UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS
## 
##          Variable/         Mean/     Skewness/   Minimum/ % with                Percentiles
##         Sample Size      Variance    Kurtosis    Maximum  Min/Max      20%/60%    40%/80%    Median
## 
##      AWARE                 3.690      -0.610       1.000    1.79%       2.667      3.667      4.000
##              224.000       1.164      -0.498       5.000   20.09%       4.000      4.667
##      MANAGE                3.409      -0.422       1.000    4.02%       2.200      3.200      3.600
##              224.000       1.439      -0.893       5.000   13.84%       4.000      4.600
##      ORGALLY               2.558       0.306       1.000   21.43%       1.000      2.000      2.556
##              224.000       1.627      -1.041       5.000    6.70%       3.000      3.778
##      LDRDIVAD              0.000      -0.436      -2.269   12.05%      -1.019     -0.269     -0.019
##              224.000       1.503      -0.730       1.731   12.05%       0.481      0.981
##      PDB                   0.000      -1.748      -3.318    1.34%      -0.568      0.182      0.432
##              224.000       0.947       2.453       0.682   45.98%       0.682      0.682
##      POLID                -0.688       0.488      -3.000   19.20%      -2.000     -2.000     -1.000
##              224.000       3.509      -0.878       3.000    8.04%       0.000      1.000
## 
## 
## THE MODEL ESTIMATION TERMINATED NORMALLY
## 
## 
## 
## MODEL FIT INFORMATION
## 
## Number of Free Parameters                       25
## 
## Loglikelihood
## 
##           H0 Value                       -1927.517
##           H1 Value                       -1926.653
## 
## Information Criteria
## 
##           Akaike (AIC)                    3905.035
##           Bayesian (BIC)                  3990.326
##           Sample-Size Adjusted BIC        3911.097
##             (n* = (n + 2) / 24)
## 
## Chi-Square Test of Model Fit
## 
##           Value                              1.728
##           Degrees of Freedom                     2
##           P-Value                           0.4214
## 
## RMSEA (Root Mean Square Error Of Approximation)
## 
##           Estimate                           0.000
##           90 Percent C.I.                    0.000  0.127
##           Probability RMSEA <= .05           0.596
## 
## CFI/TLI
## 
##           CFI                                1.000
##           TLI                                1.000
## 
## Chi-Square Test of Model Fit for the Baseline Model
## 
##           Value                            428.964
##           Degrees of Freedom                    12
##           P-Value                           0.0000
## 
## SRMR (Standardized Root Mean Square Residual)
## 
##           Value                              0.017
## 
## 
## 
## MODEL RESULTS
## 
##                                                     Two-Tailed
##                     Estimate       S.E.  Est./S.E.    P-Value
## 
##  AWARE    ON
##     PDB                0.335      0.073      4.559      0.000
##     LDRDIVAD           0.212      0.058      3.636      0.000
## 
##  MANAGE   ON
##     PDB                0.281      0.077      3.661      0.000
##     LDRDIVAD           0.404      0.061      6.623      0.000
## 
##  ORGALLY  ON
##     POLID              0.024      0.039      0.622      0.534
##     PDB                0.165      0.086      1.916      0.055
##     LDRDIVAD           0.318      0.065      4.900      0.000
##     AWARE              0.077      0.094      0.812      0.417
##     MANAGE             0.358      0.090      3.964      0.000
## 
##  PDB      WITH
##     LDRDIVAD           0.536      0.087      6.131      0.000
##     POLID             -0.869      0.135     -6.444      0.000
## 
##  LDRDIVAD WITH
##     POLID             -0.149      0.154     -0.968      0.333
## 
##  AWARE    WITH
##     MANAGE             0.680      0.078      8.679      0.000
## 
##  Means
##     LDRDIVAD           0.000      0.082      0.000      1.000
##     PDB                0.000      0.065      0.000      1.000
##     POLID             -0.688      0.125     -5.493      0.000
## 
##  Intercepts
##     AWARE              3.690      0.064     57.767      0.000
##     MANAGE             3.409      0.067     51.076      0.000
##     ORGALLY            1.071      0.260      4.125      0.000
## 
##  Variances
##     LDRDIVAD           1.503      0.142     10.583      0.000
##     PDB                0.947      0.089     10.583      0.000
##     POLID              3.509      0.332     10.583      0.000
## 
##  Residual Variances
##     AWARE              0.914      0.086     10.583      0.000
##     MANAGE             0.998      0.094     10.583      0.000
##     ORGALLY            0.899      0.085     10.583      0.000
## 
## 
## QUALITY OF NUMERICAL RESULTS
## 
##      Condition Number for the Information Matrix              0.194E-02
##        (ratio of smallest to largest eigenvalue)
## 
## 
##      Beginning Time:  11:42:55
##         Ending Time:  11:42:55
##        Elapsed Time:  00:00:00
## 
## 
## 
## MUTHEN & MUTHEN
## 3463 Stoner Ave.
## Los Angeles, CA  90066
## 
## Tel: (310) 391-9971
## Fax: (310) 391-8971
## Web: www.StatModel.com
## Support: Support@StatModel.com
## 
## Copyright (c) 1998-2024 Muthen & Muthen

Hypothesis 2b: Mediation Analysis

res <- readModels("Mplus Syntax/Study 1 Syntax & Output/Hannah_Study 1/Study1_Mediation_OrgAlly (H2b_H4).out")

# Extract coefficients
a_est <- res$parameters$unstandardized$est[2]  # Effect of X on M (a-path)
b_est <- res$parameters$unstandardized$est[8]  # Effect of M on Y (b-path)

# Extract standard errors
a_se <- res$parameters$unstandardized$se[2]
b_se <- res$parameters$unstandardized$se[8] 

# Compute Monte Carlo confidence interval
mc_ci <- medci(mu.x = a_est, mu.y = b_est, se.x = a_se, se.y = b_se,
               rho = 0, alpha = .10, sims = 10000, method = "parametric")
## Indirect effect estimate: 0.016324
## Indirect effect standard error: 0.02113752
## Monte Carlo 90% CI: [ -0.01618396 , 0.05287173 ]

Hypothesis 4: Mediation Analysis

# Extract coefficients
a_est <- res$parameters$unstandardized$est[4]  # Effect of X on M (a-path)
b_est <- res$parameters$unstandardized$est[9]   # Effect of M on Y (b-path)

# Extract standard errors
a_se <- res$parameters$unstandardized$se[4]
b_se <- res$parameters$unstandardized$se[9]

# Compute Monte Carlo confidence interval
mc_ci <- medci(mu.x = a_est, mu.y = b_est, se.x = a_se, se.y = b_se,
               rho = 0, alpha = .01, sims = 10000, method = "parametric")
## Indirect effect estimate: 0.144632
## Indirect effect standard error: 0.04276784
## Monte Carlo 99% CI: [ 0.04717184 , 0.268454 ]

Table 3: Conditional Path Model for Organizational Ally Work

## Mplus VERSION 8.11 (Mac)
## MUTHEN & MUTHEN
## 09/04/2025  11:42 AM
## 
## INPUT INSTRUCTIONS
## 
##   TITLE: Study 1: Moderated Mediation Models
##   DATA: FILE = "Study1.dat";
##   VARIABLE:
##     NAMES = Male White Ideology LdrDivAd PDB Aware Regulate Manage OrgAlly RelAlly;
##   MISSING = ALL (999);
## 
##   USEVARIABLES LdrDivAd PDB Aware Manage OrgAlly
##           PolID LDA_PDB;
## 
##   DEFINE:
##   ! Political Ideology centered at the scale midpoint (= 4)
##   PolID = Ideology - 4;
## 
##   ! Grand-mean center Leader Diversity Advocacy and Pro-Diversity Attitudes
##   CENTER LdrDivAd PDB (GRANDMEAN);
## 
##   ! Create interaction term
##   LDA_PDB = LdrDivAd * PDB;
## 
##   ANALYSIS:
##     ESTIMATOR = ML;
## 
##   MODEL:
##     Aware    ON PDB (a2)
##                 LdrDivAd (a1)
##                 LDA_PDB (a3);
## 
##     Manage   ON PDB (c2)
##                 LdrDivAd (c1)
##                 LDA_PDB (c3);
## 
##     OrgAlly  ON PolID
##                 PDB
##                 LdrDivAd
##                 Aware
##                 Manage (mg);
## 
##     PDB WITH LdrDivAd PolID;
##   LdrDivAd WITH PolID;
##     Aware WITH Manage;
## 
##   MODEL CONSTRAINT:
## 
##           LOOP(PDB, -1.96, 1.96, .98); ! Two Standard Deviations Below/Above Mean
##           PLOT(LdrDivAd_mg);
##           LdrDivAd_mg = (c1 + c3*PDB)*mg;
## 
##   PLOT: TYPE = PLOT2;
## 
## 
## 
## 
## 
## 
## 
## INPUT READING TERMINATED NORMALLY
## 
## 
## 
## Study 1: Moderated Mediation Models
## 
## SUMMARY OF ANALYSIS
## 
## Number of groups                                                 1
## Number of observations                                         224
## 
## Number of dependent variables                                    3
## Number of independent variables                                  4
## Number of continuous latent variables                            0
## 
## Observed dependent variables
## 
##   Continuous
##    AWARE       MANAGE      ORGALLY
## 
## Observed independent variables
##    LDRDIVAD    PDB         POLID       LDA_PDB
## 
## Variables with special functions
## 
##   Centering (GRANDMEAN)
##    LDRDIVAD    PDB
## 
## 
## Estimator                                                       ML
## Information matrix                                        OBSERVED
## Maximum number of iterations                                  1000
## Convergence criterion                                    0.500D-04
## Maximum number of steepest descent iterations                   20
## Maximum number of iterations for H1                           2000
## Convergence criterion for H1                             0.100D-03
## 
## Input data file(s)
##   Study1.dat
## 
## Input data format  FREE
## 
## 
## SUMMARY OF DATA
## 
##      Number of missing data patterns             1
## 
## 
## COVARIANCE COVERAGE OF DATA
## 
## Minimum covariance coverage value   0.100
## 
## 
##      PROPORTION OF DATA PRESENT
## 
## 
##            Covariance Coverage
##               AWARE         MANAGE        ORGALLY       LDRDIVAD      PDB
##               ________      ________      ________      ________      ________
##  AWARE          1.000
##  MANAGE         1.000         1.000
##  ORGALLY        1.000         1.000         1.000
##  LDRDIVAD       1.000         1.000         1.000         1.000
##  PDB            1.000         1.000         1.000         1.000         1.000
##  POLID          1.000         1.000         1.000         1.000         1.000
##  LDA_PDB        1.000         1.000         1.000         1.000         1.000
## 
## 
##            Covariance Coverage
##               POLID         LDA_PDB
##               ________      ________
##  POLID          1.000
##  LDA_PDB        1.000         1.000
## 
## 
## 
## UNIVARIATE SAMPLE STATISTICS
## 
## 
##      UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS
## 
##          Variable/         Mean/     Skewness/   Minimum/ % with                Percentiles
##         Sample Size      Variance    Kurtosis    Maximum  Min/Max      20%/60%    40%/80%    Median
## 
##      AWARE                 3.690      -0.610       1.000    1.79%       2.667      3.667      4.000
##              224.000       1.164      -0.498       5.000   20.09%       4.000      4.667
##      MANAGE                3.409      -0.422       1.000    4.02%       2.200      3.200      3.600
##              224.000       1.439      -0.893       5.000   13.84%       4.000      4.600
##      ORGALLY               2.558       0.306       1.000   21.43%       1.000      2.000      2.556
##              224.000       1.627      -1.041       5.000    6.70%       3.000      3.778
##      LDRDIVAD              0.000      -0.436      -2.269   12.05%      -1.019     -0.269     -0.019
##              224.000       1.503      -0.730       1.731   12.05%       0.481      0.981
##      PDB                   0.000      -1.748      -3.318    1.34%      -0.568      0.182      0.432
##              224.000       0.947       2.453       0.682   45.98%       0.682      0.682
##      POLID                -0.688       0.488      -3.000   19.20%      -2.000     -2.000     -1.000
##              224.000       3.509      -0.878       3.000    8.04%       0.000      1.000
##      LDA_PDB               0.536       2.556      -2.282    0.45%      -0.183      0.088      0.222
##              224.000       2.016       8.309       7.529    0.45%       0.437      1.010
## 
## 
## THE MODEL ESTIMATION TERMINATED NORMALLY
## 
## 
## 
## MODEL FIT INFORMATION
## 
## Number of Free Parameters                       27
## 
## Loglikelihood
## 
##           H0 Value                       -1920.363
##           H1 Value                       -1861.599
## 
## Information Criteria
## 
##           Akaike (AIC)                    3894.726
##           Bayesian (BIC)                  3986.840
##           Sample-Size Adjusted BIC        3901.273
##             (n* = (n + 2) / 24)
## 
## Chi-Square Test of Model Fit
## 
##           Value                            117.528
##           Degrees of Freedom                     6
##           P-Value                           0.0000
## 
## RMSEA (Root Mean Square Error Of Approximation)
## 
##           Estimate                           0.288
##           90 Percent C.I.                    0.244  0.335
##           Probability RMSEA <= .05           0.000
## 
## CFI/TLI
## 
##           CFI                                0.740
##           TLI                                0.350
## 
## Chi-Square Test of Model Fit for the Baseline Model
## 
##           Value                            443.910
##           Degrees of Freedom                    15
##           P-Value                           0.0000
## 
## SRMR (Standardized Root Mean Square Residual)
## 
##           Value                              0.167
## 
## 
## 
## MODEL RESULTS
## 
##                                                     Two-Tailed
##                     Estimate       S.E.  Est./S.E.    P-Value
## 
##  AWARE    ON
##     PDB                0.531      0.092      5.791      0.000
##     LDRDIVAD           0.172      0.058      2.968      0.003
##     LDA_PDB            0.194      0.057      3.425      0.001
## 
##  MANAGE   ON
##     PDB                0.498      0.096      5.214      0.000
##     LDRDIVAD           0.360      0.060      5.949      0.000
##     LDA_PDB            0.215      0.059      3.636      0.000
## 
##  ORGALLY  ON
##     POLID              0.024      0.039      0.621      0.535
##     PDB                0.165      0.086      1.916      0.055
##     LDRDIVAD           0.317      0.065      4.900      0.000
##     AWARE              0.077      0.094      0.812      0.417
##     MANAGE             0.358      0.090      3.964      0.000
## 
##  PDB      WITH
##     LDRDIVAD           0.536      0.087      6.131      0.000
##     POLID             -0.870      0.135     -6.444      0.000
## 
##  LDRDIVAD WITH
##     POLID             -0.149      0.154     -0.968      0.333
## 
##  AWARE    WITH
##     MANAGE             0.630      0.074      8.548      0.000
## 
##  Means
##     LDRDIVAD           0.000      0.082      0.000      1.000
##     PDB                0.000      0.065      0.000      1.000
##     POLID             -0.688      0.125     -5.493      0.000
## 
##  Intercepts
##     AWARE              3.587      0.069     51.772      0.000
##     MANAGE             3.294      0.072     45.658      0.000
##     ORGALLY            1.071      0.260      4.125      0.000
## 
##  Variances
##     LDRDIVAD           1.503      0.142     10.583      0.000
##     PDB                0.947      0.089     10.583      0.000
##     POLID              3.510      0.332     10.583      0.000
## 
##  Residual Variances
##     AWARE              0.869      0.082     10.583      0.000
##     MANAGE             0.942      0.089     10.583      0.000
##     ORGALLY            0.899      0.085     10.583      0.000
## 
## 
## QUALITY OF NUMERICAL RESULTS
## 
##      Condition Number for the Information Matrix              0.138E-03
##        (ratio of smallest to largest eigenvalue)
## 
## 
## PLOT INFORMATION
## 
## The following plots are available:
## 
##   Loop plots
## 
##      Beginning Time:  11:42:55
##         Ending Time:  11:42:56
##        Elapsed Time:  00:00:01
## 
## 
## 
## MUTHEN & MUTHEN
## 3463 Stoner Ave.
## Los Angeles, CA  90066
## 
## Tel: (310) 391-9971
## Fax: (310) 391-8971
## Web: www.StatModel.com
## Support: Support@StatModel.com
## 
## Copyright (c) 1998-2024 Muthen & Muthen

Hypothesis 6a: Moderated Mediation (Bias-Awareness Efficacy and Organizational Ally Work)

res <- readModels("Mplus Syntax/Study 1 Syntax & Output/Hannah_Study 1/Study1_Moderated Mediation (OrgAlly) (H6a-b).out")

# Extract coefficients
a_int <- res$parameters$unstandardized$est[3]  # Effect of XW on M (a-path)
b_est <- res$parameters$unstandardized$est[10]  # Effect of M on Y (b-path)

# Extract standard errors
a_int_se <- res$parameters$unstandardized$se[3]
b_se <- res$parameters$unstandardized$se[10]

# Compute Monte Carlo confidence interval
mc_ci <- medci(mu.x = a_int, mu.y = b_est, se.x = a_int_se, se.y = b_se,
               rho = 0, alpha = .10, sims = 10000, method = "parametric")
## 
## --- Index of Moderated Mediation ---
## Estimate: 0.014938
## Standard error: 0.019507
## Monte Carlo 90% CI: [ -0.01479185 , 0.04886504 ]

Hypothesis 6b: Moderated Mediation (Intergroup-Management Efficacy and Organizational Ally Work)

# Extract coefficients
a_int <- res$parameters$unstandardized$est[6]  # Effect of XW on M (a-path)
b_est <- res$parameters$unstandardized$est[11]  # Effect of M on Y (b-path)

# Extract standard errors
a_int_se <- res$parameters$unstandardized$se[6]
b_se <- res$parameters$unstandardized$se[11]

# Compute Monte Carlo confidence interval
mc_ci <- medci(mu.x = a_int, mu.y = b_est, se.x = a_int_se, se.y = b_se,
               rho = 0, alpha = .01, sims = 10000, method = "parametric")
## 
## --- Index of Moderated Mediation ---
## Estimate: 0.07697
## Standard error: 0.02913344
## Monte Carlo 99% CI: [ 0.01663242 , 0.1660568 ]
# Conditional Indirect Effect for High and Low Pro-Diversity Attitudes
# Set moderator values (e.g., ±1 SD)
PDB_low <- -0.98  # 1 SD below mean
PDB_high <- 0.98  # 1 SD above mean

# Extract coefficient and standard error for leader diversity advocacy
a_main <- res$parameters$unstandardized$est[5]  # Effect of X on M (a-path)         
a_main_se <- res$parameters$unstandardized$se[5]

# Compute conditional a-paths
a_low  <- a_main + a_int * PDB_low
a_high <- a_main + a_int * PDB_high

# Compute SEs of conditional a-paths
a_low_se  <- sqrt(a_main_se^2 + (PDB_low^2 * a_int_se^2))
a_high_se <- sqrt(a_main_se^2 + (PDB_high^2 * a_int_se^2))

# Compute Monte Carlo CI for indirect effect at low PDB
mc_ci_low <- medci(mu.x = a_low, mu.y = b_est,
                   se.x = a_low_se, se.y = b_se,
                   rho = 0, alpha = 0.10, sims = 10000, method = "parametric")

# Compute Monte Carlo CI for indirect effect at high PDB
mc_ci_high <- medci(mu.x = a_high, mu.y = b_est,
                    se.x = a_high_se, se.y = b_se,
                    rho = 0, alpha = 0.01, sims = 10000, method = "parametric")
## 
## --- Conditional Indirect Effects ---
## At LOW PDB (-1 SD):
## Indirect effect estimate: 0.05345
## Standard error (LOW PDB): 0.03357
## Monte Carlo 90% CI: [ 0.004 , 0.113 ]
## At HIGH PDB (+1 SD):
## Indirect effect estimate: 0.204
## Standard error (HIGH PDB): 0.05987
## Monte Carlo 99% CI: [ 0.067 , 0.377 ]

View Johnson-Neyman Plots for Conditional Indirect Effects

Figure 3: Conditional Indirect Effect on Organizational Ally Work via Intergroup-Management Self-Efficacy

# Exploratory Serial Mediation Analysis: Relational Allyship

## Mplus VERSION 8.11 (Mac)
## MUTHEN & MUTHEN
## 04/09/2026   9:55 AM
## 
## INPUT INSTRUCTIONS
## 
##   TITLE: Study 1
##   DATA: FILE = "Study1.dat";
##   VARIABLE:
##     NAMES = Male White Ideology LdrDivAd PDB Aware Regulate Manage OrgAlly RelAlly;
##   MISSING = ALL (999);
## 
##   USEVARIABLES LdrDivAd PDB Aware Regulate RelAlly
##           PolID;
## 
##   DEFINE:
##   ! Political Ideology centered at the scale midpoint (= 4)
##   PolID = Ideology - 4;
## 
##   ! Grand-mean center Leader Diversity Advocacy and Pro-Diversity Attitudes
##   CENTER LdrDivAd PDB (GRANDMEAN);
## 
##   ANALYSIS:
##     ESTIMATOR = ML;
##     BOOTSTRAP = 20000;
## 
##   MODEL:
##     PDB      ON LdrDivAd;
##     Aware    ON LdrDivAd;
##     Regulate ON LdrDivAd;
## 
##     RelAlly  ON LdrDivAd PolID;
## 
##     RelAlly  ON PDB ;
##     RelAlly  ON Aware;
##     RelAlly  ON Regulate ;
## 
##     Aware Regulate ON PDB ;
## 
##     ! Covariances among predictors
##     Aware WITH Regulate;
## 
##   MODEL INDIRECT:
##      RelAlly IND LdrDivAd;
## 
##   OUTPUT: CINTERVAL(BOOTSTRAP);
## 
## 
## 
## INPUT READING TERMINATED NORMALLY
## 
## 
## 
## Study 1
## 
## SUMMARY OF ANALYSIS
## 
## Number of groups                                                 1
## Number of observations                                         224
## 
## Number of dependent variables                                    4
## Number of independent variables                                  2
## Number of continuous latent variables                            0
## 
## Observed dependent variables
## 
##   Continuous
##    PDB         AWARE       REGULATE    RELALLY
## 
## Observed independent variables
##    LDRDIVAD    POLID
## 
## Variables with special functions
## 
##   Centering (GRANDMEAN)
##    LDRDIVAD    PDB
## 
## 
## Estimator                                                       ML
## Information matrix                                        OBSERVED
## Maximum number of iterations                                  1000
## Convergence criterion                                    0.500D-04
## Maximum number of steepest descent iterations                   20
## Maximum number of iterations for H1                           2000
## Convergence criterion for H1                             0.100D-03
## Number of bootstrap draws
##     Requested                                                20000
##     Completed                                                20000
## 
## Input data file(s)
##   Study1.dat
## 
## Input data format  FREE
## 
## 
## SUMMARY OF DATA
## 
##      Number of missing data patterns             1
## 
## 
## COVARIANCE COVERAGE OF DATA
## 
## Minimum covariance coverage value   0.100
## 
## 
##      PROPORTION OF DATA PRESENT
## 
## 
##            Covariance Coverage
##               PDB           AWARE         REGULATE      RELALLY       LDRDIVAD
##               ________      ________      ________      ________      ________
##  PDB            1.000
##  AWARE          1.000         1.000
##  REGULATE       1.000         1.000         1.000
##  RELALLY        1.000         1.000         1.000         1.000
##  LDRDIVAD       1.000         1.000         1.000         1.000         1.000
##  POLID          1.000         1.000         1.000         1.000         1.000
## 
## 
##            Covariance Coverage
##               POLID
##               ________
##  POLID          1.000
## 
## 
## 
## UNIVARIATE SAMPLE STATISTICS
## 
## 
##      UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS
## 
##          Variable/         Mean/     Skewness/   Minimum/ % with                Percentiles
##         Sample Size      Variance    Kurtosis    Maximum  Min/Max      20%/60%    40%/80%    Median
## 
##      PDB                   0.000      -1.748      -3.318    1.34%      -0.568      0.182      0.432
##              224.000       0.947       2.453       0.682   45.98%       0.682      0.682
##      AWARE                 3.690      -0.610       1.000    1.79%       2.667      3.667      4.000
##              224.000       1.164      -0.498       5.000   20.09%       4.000      4.667
##      REGULATE              4.278      -1.277       1.400    0.45%       3.800      4.200      4.400
##              224.000       0.591       1.382       5.000   29.91%       4.600      5.000
##      RELALLY               3.548      -0.668       1.250    3.12%       2.875      3.375      3.750
##              224.000       0.890      -0.233       5.000    0.45%       3.875      4.500
##      LDRDIVAD              0.000      -0.436      -2.269   12.05%      -1.019     -0.269     -0.019
##              224.000       1.503      -0.730       1.731   12.05%       0.481      0.981
##      POLID                -0.688       0.488      -3.000   19.20%      -2.000     -2.000     -1.000
##              224.000       3.509      -0.878       3.000    8.04%       0.000      1.000
## 
## 
## THE MODEL ESTIMATION TERMINATED NORMALLY
## 
## 
## 
## MODEL FIT INFORMATION
## 
## Number of Free Parameters                       19
## 
## Loglikelihood
## 
##           H0 Value                       -1020.430
##           H1 Value                        -986.784
## 
## Information Criteria
## 
##           Akaike (AIC)                    2078.860
##           Bayesian (BIC)                  2143.681
##           Sample-Size Adjusted BIC        2083.467
##             (n* = (n + 2) / 24)
## 
## Chi-Square Test of Model Fit
## 
##           Value                             67.293
##           Degrees of Freedom                     3
##           P-Value                           0.0000
## 
## RMSEA (Root Mean Square Error Of Approximation)
## 
##           Estimate                           0.309
##           90 Percent C.I.                    0.248  0.376
##           Probability RMSEA <= .05           0.000
## 
## CFI/TLI
## 
##           CFI                                0.851
##           TLI                                0.307
## 
## Chi-Square Test of Model Fit for the Baseline Model
## 
##           Value                            446.915
##           Degrees of Freedom                    14
##           P-Value                           0.0000
## 
## SRMR (Standardized Root Mean Square Residual)
## 
##           Value                              0.117
## 
## 
## 
## MODEL RESULTS
## 
##                                                     Two-Tailed
##                     Estimate       S.E.  Est./S.E.    P-Value
## 
##  PDB      ON
##     LDRDIVAD           0.356      0.059      5.998      0.000
## 
##  AWARE    ON
##     LDRDIVAD           0.212      0.063      3.379      0.001
##     PDB                0.335      0.101      3.324      0.001
## 
##  REGULATE ON
##     LDRDIVAD           0.099      0.048      2.072      0.038
##     PDB                0.240      0.077      3.123      0.002
## 
##  RELALLY  ON
##     LDRDIVAD           0.215      0.059      3.677      0.000
##     POLID             -0.013      0.029     -0.438      0.661
##     PDB                0.318      0.080      3.979      0.000
##     AWARE              0.115      0.064      1.786      0.074
##     REGULATE           0.281      0.083      3.400      0.001
## 
##  AWARE    WITH
##     REGULATE           0.329      0.059      5.553      0.000
## 
##  Intercepts
##     PDB                0.000      0.058      0.000      1.000
##     AWARE              3.690      0.064     57.376      0.000
##     REGULATE           4.278      0.048     88.916      0.000
##     RELALLY            1.913      0.290      6.585      0.000
## 
##  Residual Variances
##     PDB                0.756      0.094      8.047      0.000
##     AWARE              0.914      0.093      9.830      0.000
##     REGULATE           0.496      0.059      8.365      0.000
##     RELALLY            0.407      0.046      8.856      0.000
## 
## 
## TOTAL, TOTAL INDIRECT, SPECIFIC INDIRECT, AND DIRECT EFFECTS
## 
## 
##                                                     Two-Tailed
##                     Estimate       S.E.  Est./S.E.    P-Value
## 
## Effects from LDRDIVAD to RELALLY
## 
##   Total                0.418      0.052      8.123      0.000
##   Total indirect       0.203      0.039      5.228      0.000
## 
##   Specific indirect 1
##     RELALLY
##     PDB
##     LDRDIVAD           0.113      0.034      3.315      0.001
## 
##   Specific indirect 2
##     RELALLY
##     AWARE
##     LDRDIVAD           0.024      0.015      1.632      0.103
## 
##   Specific indirect 3
##     RELALLY
##     REGULATE
##     LDRDIVAD           0.028      0.018      1.536      0.125
## 
##   Specific indirect 4
##     RELALLY
##     AWARE
##     PDB
##     LDRDIVAD           0.014      0.010      1.416      0.157
## 
##   Specific indirect 5
##     RELALLY
##     REGULATE
##     PDB
##     LDRDIVAD           0.024      0.009      2.540      0.011
## 
##   Direct
##     RELALLY
##     LDRDIVAD           0.215      0.059      3.677      0.000
## 
## 
## 
## CONFIDENCE INTERVALS OF MODEL RESULTS
## 
##                   Lower .5%  Lower 2.5%    Lower 5%    Estimate    Upper 5%  Upper 2.5%   Upper .5%
## 
##  PDB      ON
##     LDRDIVAD         0.212       0.244       0.261       0.356       0.457       0.476       0.512
## 
##  AWARE    ON
##     LDRDIVAD         0.049       0.092       0.110       0.212       0.317       0.338       0.375
##     PDB              0.080       0.140       0.174       0.335       0.506       0.536       0.598
## 
##  REGULATE ON
##     LDRDIVAD        -0.016       0.010       0.024       0.099       0.180       0.198       0.233
##     PDB              0.045       0.090       0.116       0.240       0.368       0.394       0.440
## 
##  RELALLY  ON
##     LDRDIVAD         0.064       0.099       0.119       0.215       0.310       0.327       0.366
##     POLID           -0.086      -0.069      -0.060      -0.013       0.035       0.045       0.063
##     PDB              0.123       0.167       0.191       0.318       0.454       0.481       0.535
##     AWARE           -0.042      -0.005       0.013       0.115       0.225       0.246       0.285
##     REGULATE         0.050       0.107       0.136       0.281       0.410       0.433       0.476
## 
##  AWARE    WITH
##     REGULATE         0.179       0.210       0.227       0.329       0.422       0.443       0.483
## 
##  Intercepts
##     PDB             -0.151      -0.116      -0.096       0.000       0.095       0.113       0.147
##     AWARE            3.525       3.563       3.583       3.690       3.795       3.815       3.855
##     REGULATE         4.152       4.181       4.197       4.278       4.356       4.370       4.395
##     RELALLY          1.210       1.368       1.458       1.913       2.414       2.510       2.729
## 
##  Residual Variances
##     PDB              0.515       0.567       0.594       0.756       0.903       0.935       0.996
##     AWARE            0.660       0.713       0.746       0.914       1.051       1.080       1.142
##     REGULATE         0.344       0.375       0.392       0.496       0.587       0.607       0.649
##     RELALLY          0.285       0.308       0.319       0.407       0.471       0.487       0.520
## 
## 
## CONFIDENCE INTERVALS OF TOTAL, TOTAL INDIRECT, SPECIFIC INDIRECT, AND DIRECT EFFECTS
## 
## 
##                   Lower .5%  Lower 2.5%    Lower 5%    Estimate    Upper 5%  Upper 2.5%   Upper .5%
## 
## Effects from LDRDIVAD to RELALLY
## 
##   Total              0.282       0.317       0.335       0.418       0.504       0.519       0.548
##   Total indirect     0.113       0.134       0.144       0.203       0.271       0.286       0.315
## 
##   Specific indirect 1
##     RELALLY
##     PDB
##     LDRDIVAD         0.038       0.053       0.062       0.113       0.174       0.187       0.213
## 
##   Specific indirect 2
##     RELALLY
##     AWARE
##     LDRDIVAD        -0.010      -0.001       0.003       0.024       0.051       0.057       0.072
## 
##   Specific indirect 3
##     RELALLY
##     REGULATE
##     LDRDIVAD        -0.003       0.002       0.004       0.028       0.062       0.071       0.089
## 
##   Specific indirect 4
##     RELALLY
##     AWARE
##     PDB
##     LDRDIVAD        -0.005      -0.001       0.001       0.014       0.032       0.037       0.047
## 
##   Specific indirect 5
##     RELALLY
##     REGULATE
##     PDB
##     LDRDIVAD         0.003       0.007       0.009       0.024       0.040       0.044       0.053
## 
##   Direct
##     RELALLY
##     LDRDIVAD         0.064       0.099       0.119       0.215       0.310       0.327       0.366
## 
## 
## 
##      Beginning Time:  09:55:37
##         Ending Time:  09:55:50
##        Elapsed Time:  00:00:13
## 
## 
## 
## MUTHEN & MUTHEN
## 3463 Stoner Ave.
## Los Angeles, CA  90066
## 
## Tel: (310) 391-9971
## Fax: (310) 391-8971
## Web: www.StatModel.com
## Support: Support@StatModel.com
## 
## Copyright (c) 1998-2024 Muthen & Muthen
# Serial mediators: pro-diversity beliefs and bias-awareness self-efficacy
res$indirect$ci.unstandardized$specific[4, ]
##       pred intervening outcome  low.5 low2.5  low5   est   up5 up2.5  up.5
## 4 LDRDIVAD   AWARE.PDB RELALLY -0.005 -0.001 0.001 0.014 0.032 0.037 0.047
# Serial mediators: pro-diversity beliefs and self-regulation self-efficacy
res$indirect$ci.unstandardized$specific[5, ]
##       pred  intervening outcome low.5 low2.5  low5   est   up5 up2.5  up.5
## 5 LDRDIVAD REGULATE.PDB RELALLY 0.003  0.007 0.009 0.024 0.040 0.044 0.053
## Mplus VERSION 8.11 (Mac)
## MUTHEN & MUTHEN
## 04/08/2026   9:00 PM
## 
## INPUT INSTRUCTIONS
## 
##   TITLE: Study 1
##   DATA: FILE = "Study1.dat";
##   VARIABLE:
##     NAMES = Male White Ideology LdrDivAd PDB Aware Regulate Manage OrgAlly RelAlly;
##   MISSING = ALL (999);
## 
##   USEVARIABLES LdrDivAd PDB Aware Manage OrgAlly
##           PolID;
## 
##   DEFINE:
##   ! Political Ideology centered at the scale midpoint (= 4)
##   PolID = Ideology - 4;
## 
##   ! Grand-mean center Leader Diversity Advocacy and Pro-Diversity Attitudes
##   CENTER LdrDivAd PDB (GRANDMEAN);
## 
##   ANALYSIS:
##     ESTIMATOR = ML;
## 
##   MODEL:
##     PDB      ON LdrDivAd;
##     Aware    ON LdrDivAd;
##     Manage   ON LdrDivAd;
## 
##     OrgAlly  ON LdrDivAd PolID;
## 
##     OrgAlly  ON PDB ;
##     OrgAlly  ON Aware;
##     OrgAlly  ON Manage ;
## 
##     Aware Manage ON PDB ;
## 
##     ! Covariances among predictors
##     Aware WITH Manage;
## 
##   MODEL INDIRECT:
##      OrgAlly IND LdrDivAd;
## 
##   OUTPUT: CINTERVAL;
## 
## 
## 
## INPUT READING TERMINATED NORMALLY
## 
## 
## 
## Study 1
## 
## SUMMARY OF ANALYSIS
## 
## Number of groups                                                 1
## Number of observations                                         224
## 
## Number of dependent variables                                    4
## Number of independent variables                                  2
## Number of continuous latent variables                            0
## 
## Observed dependent variables
## 
##   Continuous
##    PDB         AWARE       MANAGE      ORGALLY
## 
## Observed independent variables
##    LDRDIVAD    POLID
## 
## Variables with special functions
## 
##   Centering (GRANDMEAN)
##    LDRDIVAD    PDB
## 
## 
## Estimator                                                       ML
## Information matrix                                        OBSERVED
## Maximum number of iterations                                  1000
## Convergence criterion                                    0.500D-04
## Maximum number of steepest descent iterations                   20
## Maximum number of iterations for H1                           2000
## Convergence criterion for H1                             0.100D-03
## 
## Input data file(s)
##   Study1.dat
## 
## Input data format  FREE
## 
## 
## SUMMARY OF DATA
## 
##      Number of missing data patterns             1
## 
## 
## COVARIANCE COVERAGE OF DATA
## 
## Minimum covariance coverage value   0.100
## 
## 
##      PROPORTION OF DATA PRESENT
## 
## 
##            Covariance Coverage
##               PDB           AWARE         MANAGE        ORGALLY       LDRDIVAD
##               ________      ________      ________      ________      ________
##  PDB            1.000
##  AWARE          1.000         1.000
##  MANAGE         1.000         1.000         1.000
##  ORGALLY        1.000         1.000         1.000         1.000
##  LDRDIVAD       1.000         1.000         1.000         1.000         1.000
##  POLID          1.000         1.000         1.000         1.000         1.000
## 
## 
##            Covariance Coverage
##               POLID
##               ________
##  POLID          1.000
## 
## 
## 
## UNIVARIATE SAMPLE STATISTICS
## 
## 
##      UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS
## 
##          Variable/         Mean/     Skewness/   Minimum/ % with                Percentiles
##         Sample Size      Variance    Kurtosis    Maximum  Min/Max      20%/60%    40%/80%    Median
## 
##      PDB                   0.000      -1.748      -3.318    1.34%      -0.568      0.182      0.432
##              224.000       0.947       2.453       0.682   45.98%       0.682      0.682
##      AWARE                 3.690      -0.610       1.000    1.79%       2.667      3.667      4.000
##              224.000       1.164      -0.498       5.000   20.09%       4.000      4.667
##      MANAGE                3.409      -0.422       1.000    4.02%       2.200      3.200      3.600
##              224.000       1.439      -0.893       5.000   13.84%       4.000      4.600
##      ORGALLY               2.558       0.306       1.000   21.43%       1.000      2.000      2.556
##              224.000       1.627      -1.041       5.000    6.70%       3.000      3.778
##      LDRDIVAD              0.000      -0.436      -2.269   12.05%      -1.019     -0.269     -0.019
##              224.000       1.503      -0.730       1.731   12.05%       0.481      0.981
##      POLID                -0.688       0.488      -3.000   19.20%      -2.000     -2.000     -1.000
##              224.000       3.509      -0.878       3.000    8.04%       0.000      1.000
## 
## 
## THE MODEL ESTIMATION TERMINATED NORMALLY
## 
## 
## 
## MODEL FIT INFORMATION
## 
## Number of Free Parameters                       19
## 
## Loglikelihood
## 
##           H0 Value                       -1138.659
##           H1 Value                       -1105.213
## 
## Information Criteria
## 
##           Akaike (AIC)                    2315.318
##           Bayesian (BIC)                  2380.140
##           Sample-Size Adjusted BIC        2319.926
##             (n* = (n + 2) / 24)
## 
## Chi-Square Test of Model Fit
## 
##           Value                             66.892
##           Degrees of Freedom                     3
##           P-Value                           0.0000
## 
## RMSEA (Root Mean Square Error Of Approximation)
## 
##           Estimate                           0.308
##           90 Percent C.I.                    0.247  0.375
##           Probability RMSEA <= .05           0.000
## 
## CFI/TLI
## 
##           CFI                                0.880
##           TLI                                0.438
## 
## Chi-Square Test of Model Fit for the Baseline Model
## 
##           Value                            544.571
##           Degrees of Freedom                    14
##           P-Value                           0.0000
## 
## SRMR (Standardized Root Mean Square Residual)
## 
##           Value                              0.113
## 
## 
## 
## MODEL RESULTS
## 
##                                                     Two-Tailed
##                     Estimate       S.E.  Est./S.E.    P-Value
## 
##  PDB      ON
##     LDRDIVAD           0.356      0.047      7.522      0.000
## 
##  AWARE    ON
##     LDRDIVAD           0.212      0.058      3.636      0.000
##     PDB                0.335      0.073      4.559      0.000
## 
##  MANAGE   ON
##     LDRDIVAD           0.404      0.061      6.623      0.000
##     PDB                0.281      0.077      3.661      0.000
## 
##  ORGALLY  ON
##     LDRDIVAD           0.318      0.065      4.900      0.000
##     POLID              0.024      0.039      0.621      0.535
##     PDB                0.165      0.086      1.916      0.055
##     AWARE              0.077      0.094      0.812      0.417
##     MANAGE             0.358      0.090      3.964      0.000
## 
##  AWARE    WITH
##     MANAGE             0.680      0.078      8.679      0.000
## 
##  Intercepts
##     PDB                0.000      0.058      0.000      1.000
##     AWARE              3.690      0.064     57.767      0.000
##     MANAGE             3.409      0.067     51.076      0.000
##     ORGALLY            1.071      0.260      4.125      0.000
## 
##  Residual Variances
##     PDB                0.756      0.071     10.583      0.000
##     AWARE              0.914      0.086     10.583      0.000
##     MANAGE             0.998      0.094     10.583      0.000
##     ORGALLY            0.899      0.085     10.583      0.000
## 
## 
## QUALITY OF NUMERICAL RESULTS
## 
##      Condition Number for the Information Matrix              0.194E-02
##        (ratio of smallest to largest eigenvalue)
## 
## 
## TOTAL, TOTAL INDIRECT, SPECIFIC INDIRECT, AND DIRECT EFFECTS
## 
## 
##                                                     Two-Tailed
##                     Estimate       S.E.  Est./S.E.    P-Value
## 
## Effects from LDRDIVAD to ORGALLY
## 
##   Total                0.582      0.058     10.008      0.000
##   Total indirect       0.265      0.048      5.472      0.000
## 
##   Specific indirect 1
##     ORGALLY
##     PDB
##     LDRDIVAD           0.059      0.032      1.857      0.063
## 
##   Specific indirect 2
##     ORGALLY
##     AWARE
##     LDRDIVAD           0.016      0.021      0.792      0.428
## 
##   Specific indirect 3
##     ORGALLY
##     MANAGE
##     LDRDIVAD           0.144      0.042      3.401      0.001
## 
##   Specific indirect 4
##     ORGALLY
##     AWARE
##     PDB
##     LDRDIVAD           0.009      0.012      0.795      0.427
## 
##   Specific indirect 5
##     ORGALLY
##     MANAGE
##     PDB
##     LDRDIVAD           0.036      0.014      2.533      0.011
## 
##   Direct
##     ORGALLY
##     LDRDIVAD           0.318      0.065      4.900      0.000
## 
## 
## 
## CONFIDENCE INTERVALS OF MODEL RESULTS
## 
##                   Lower .5%  Lower 2.5%    Lower 5%    Estimate    Upper 5%  Upper 2.5%   Upper .5%
## 
##  PDB      ON
##     LDRDIVAD         0.234       0.264       0.278       0.356       0.434       0.449       0.478
## 
##  AWARE    ON
##     LDRDIVAD         0.062       0.098       0.116       0.212       0.308       0.326       0.362
##     PDB              0.146       0.191       0.214       0.335       0.456       0.479       0.524
## 
##  MANAGE   ON
##     LDRDIVAD         0.247       0.284       0.303       0.404       0.504       0.523       0.561
##     PDB              0.083       0.131       0.155       0.281       0.407       0.432       0.479
## 
##  ORGALLY  ON
##     LDRDIVAD         0.151       0.190       0.211       0.318       0.424       0.445       0.484
##     POLID           -0.077      -0.053      -0.040       0.024       0.089       0.102       0.126
##     PDB             -0.057      -0.004       0.023       0.165       0.307       0.335       0.388
##     AWARE           -0.167      -0.108      -0.079       0.077       0.232       0.262       0.320
##     MANAGE           0.125       0.181       0.209       0.358       0.507       0.535       0.591
## 
##  AWARE    WITH
##     MANAGE           0.478       0.526       0.551       0.680       0.809       0.833       0.882
## 
##  Intercepts
##     PDB             -0.150      -0.114      -0.096       0.000       0.096       0.114       0.150
##     AWARE            3.526       3.565       3.585       3.690       3.796       3.816       3.855
##     MANAGE           3.237       3.278       3.299       3.409       3.519       3.540       3.581
##     ORGALLY          0.402       0.562       0.644       1.071       1.498       1.580       1.740
## 
##  Residual Variances
##     PDB              0.572       0.616       0.638       0.756       0.873       0.896       0.940
##     AWARE            0.692       0.745       0.772       0.914       1.056       1.084       1.137
##     MANAGE           0.755       0.813       0.843       0.998       1.153       1.183       1.241
##     ORGALLY          0.680       0.733       0.759       0.899       1.039       1.066       1.118
## 
## 
## CONFIDENCE INTERVALS OF TOTAL, TOTAL INDIRECT, SPECIFIC INDIRECT, AND DIRECT EFFECTS
## 
## 
##                   Lower .5%  Lower 2.5%    Lower 5%    Estimate    Upper 5%  Upper 2.5%   Upper .5%
## 
## Effects from LDRDIVAD to ORGALLY
## 
##   Total              0.432       0.468       0.487       0.582       0.678       0.696       0.732
##   Total indirect     0.140       0.170       0.185       0.265       0.344       0.360       0.389
## 
##   Specific indirect 1
##     ORGALLY
##     PDB
##     LDRDIVAD        -0.023      -0.003       0.007       0.059       0.111       0.121       0.141
## 
##   Specific indirect 2
##     ORGALLY
##     AWARE
##     LDRDIVAD        -0.037      -0.024      -0.018       0.016       0.050       0.056       0.069
## 
##   Specific indirect 3
##     ORGALLY
##     MANAGE
##     LDRDIVAD         0.035       0.061       0.075       0.144       0.214       0.228       0.254
## 
##   Specific indirect 4
##     ORGALLY
##     AWARE
##     PDB
##     LDRDIVAD        -0.021      -0.013      -0.010       0.009       0.028       0.032       0.039
## 
##   Specific indirect 5
##     ORGALLY
##     MANAGE
##     PDB
##     LDRDIVAD        -0.001       0.008       0.013       0.036       0.059       0.064       0.072
## 
##   Direct
##     ORGALLY
##     LDRDIVAD         0.151       0.190       0.211       0.318       0.424       0.445       0.484
## 
## 
## 
##      Beginning Time:  21:00:55
##         Ending Time:  21:00:55
##        Elapsed Time:  00:00:00
## 
## 
## 
## MUTHEN & MUTHEN
## 3463 Stoner Ave.
## Los Angeles, CA  90066
## 
## Tel: (310) 391-9971
## Fax: (310) 391-8971
## Web: www.StatModel.com
## Support: Support@StatModel.com
## 
## Copyright (c) 1998-2024 Muthen & Muthen
# Serial mediators: pro-diversity beliefs and bias-awareness self-efficacy
res$indirect$ci.unstandardized$specific[4, ]
##       pred intervening outcome  low.5 low2.5   low5   est   up5 up2.5  up.5
## 4 LDRDIVAD   AWARE.PDB ORGALLY -0.021 -0.013 -0.010 0.009 0.028 0.032 0.039
# Serial mediators: pro-diversity beliefs and self-regulation self-efficacy
res$indirect$ci.unstandardized$specific[5, ]
##       pred intervening outcome  low.5 low2.5  low5   est   up5 up2.5  up.5
## 5 LDRDIVAD  MANAGE.PDB ORGALLY -0.001  0.008 0.013 0.036 0.059 0.064 0.072

Supplementary Analysis

All Efficacy Beliefs Predicting Relational and Organizational Ally Work

med_out <- readLines("Mplus Syntax/Study 1 Syntax & Output/Hannah_Study 1/Study1_All Efficacy Constructs Predicting Allyship (Supplemental).out")
cat(paste(med_out, collapse = "\n"))
## Mplus VERSION 8.11 (Mac)
## MUTHEN & MUTHEN
## 04/08/2026   7:55 PM
## 
## INPUT INSTRUCTIONS
## 
##   TITLE: Study 1
##   DATA: FILE = "Study1.dat";
##   VARIABLE:
##     NAMES = Male White Ideology LdrDivAd PDB Aware Regulate Manage OrgAlly RelAlly;
##   MISSING = ALL (999);
## 
##   USEVARIABLES LdrDivAd PDB Aware Regulate Manage RelAlly OrgAlly
##           PolID;
## 
##   DEFINE:
##   ! Political Ideology centered at the scale midpoint (= 4)
##   PolID = Ideology - 4;
## 
##   ! Grand-mean center Leader Diversity Advocacy and Pro-Diversity Attitudes
##   CENTER LdrDivAd PDB (GRANDMEAN);
## 
##   ANALYSIS:
##     ESTIMATOR = ML;
## 
##   MODEL:
##     Aware Regulate Manage ON PDB LdrDivAd;
## 
##     RelAlly OrgAlly ON PolID PDB LdrDivAd Aware Regulate Manage;
##     ! Aware only significant when PolID and PDB are not included as controls
## 
## 
##     ! Covariances among predictors
##     PDB WITH LdrDivAd PolID;
##     LdrDivAd WITH PolID;
##     Aware WITH Manage;
##     Aware WITH Regulate;
##     Regulate WITH Manage;
## 
## 
## 
## INPUT READING TERMINATED NORMALLY
## 
## 
## 
## Study 1
## 
## SUMMARY OF ANALYSIS
## 
## Number of groups                                                 1
## Number of observations                                         224
## 
## Number of dependent variables                                    5
## Number of independent variables                                  3
## Number of continuous latent variables                            0
## 
## Observed dependent variables
## 
##   Continuous
##    AWARE       REGULATE    MANAGE      RELALLY     ORGALLY
## 
## Observed independent variables
##    LDRDIVAD    PDB         POLID
## 
## Variables with special functions
## 
##   Centering (GRANDMEAN)
##    LDRDIVAD    PDB
## 
## 
## Estimator                                                       ML
## Information matrix                                        OBSERVED
## Maximum number of iterations                                  1000
## Convergence criterion                                    0.500D-04
## Maximum number of steepest descent iterations                   20
## Maximum number of iterations for H1                           2000
## Convergence criterion for H1                             0.100D-03
## 
## Input data file(s)
##   Study1.dat
## 
## Input data format  FREE
## 
## 
## SUMMARY OF DATA
## 
##      Number of missing data patterns             1
## 
## 
## COVARIANCE COVERAGE OF DATA
## 
## Minimum covariance coverage value   0.100
## 
## 
##      PROPORTION OF DATA PRESENT
## 
## 
##            Covariance Coverage
##               AWARE         REGULATE      MANAGE        RELALLY       ORGALLY
##               ________      ________      ________      ________      ________
##  AWARE          1.000
##  REGULATE       1.000         1.000
##  MANAGE         1.000         1.000         1.000
##  RELALLY        1.000         1.000         1.000         1.000
##  ORGALLY        1.000         1.000         1.000         1.000         1.000
##  LDRDIVAD       1.000         1.000         1.000         1.000         1.000
##  PDB            1.000         1.000         1.000         1.000         1.000
##  POLID          1.000         1.000         1.000         1.000         1.000
## 
## 
##            Covariance Coverage
##               LDRDIVAD      PDB           POLID
##               ________      ________      ________
##  LDRDIVAD       1.000
##  PDB            1.000         1.000
##  POLID          1.000         1.000         1.000
## 
## 
## 
## UNIVARIATE SAMPLE STATISTICS
## 
## 
##      UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS
## 
##          Variable/         Mean/     Skewness/   Minimum/ % with                Percentiles
##         Sample Size      Variance    Kurtosis    Maximum  Min/Max      20%/60%    40%/80%    Median
## 
##      AWARE                 3.690      -0.610       1.000    1.79%       2.667      3.667      4.000
##              224.000       1.164      -0.498       5.000   20.09%       4.000      4.667
##      REGULATE              4.278      -1.277       1.400    0.45%       3.800      4.200      4.400
##              224.000       0.591       1.382       5.000   29.91%       4.600      5.000
##      MANAGE                3.409      -0.422       1.000    4.02%       2.200      3.200      3.600
##              224.000       1.439      -0.893       5.000   13.84%       4.000      4.600
##      RELALLY               3.548      -0.668       1.250    3.12%       2.875      3.375      3.750
##              224.000       0.890      -0.233       5.000    0.45%       3.875      4.500
##      ORGALLY               2.558       0.306       1.000   21.43%       1.000      2.000      2.556
##              224.000       1.627      -1.041       5.000    6.70%       3.000      3.778
##      LDRDIVAD              0.000      -0.436      -2.269   12.05%      -1.019     -0.269     -0.019
##              224.000       1.503      -0.730       1.731   12.05%       0.481      0.981
##      PDB                   0.000      -1.748      -3.318    1.34%      -0.568      0.182      0.432
##              224.000       0.947       2.453       0.682   45.98%       0.682      0.682
##      POLID                -0.688       0.488      -3.000   19.20%      -2.000     -2.000     -1.000
##              224.000       3.509      -0.878       3.000    8.04%       0.000      1.000
## 
## 
## THE MODEL ESTIMATION TERMINATED NORMALLY
## 
## 
## 
## MODEL FIT INFORMATION
## 
## Number of Free Parameters                       41
## 
## Loglikelihood
## 
##           H0 Value                       -2307.119
##           H1 Value                       -2305.995
## 
## Information Criteria
## 
##           Akaike (AIC)                    4696.239
##           Bayesian (BIC)                  4836.116
##           Sample-Size Adjusted BIC        4706.181
##             (n* = (n + 2) / 24)
## 
## Chi-Square Test of Model Fit
## 
##           Value                              2.249
##           Degrees of Freedom                     3
##           P-Value                           0.5223
## 
## RMSEA (Root Mean Square Error Of Approximation)
## 
##           Estimate                           0.000
##           90 Percent C.I.                    0.000  0.101
##           Probability RMSEA <= .05           0.717
## 
## CFI/TLI
## 
##           CFI                                1.000
##           TLI                                1.000
## 
## Chi-Square Test of Model Fit for the Baseline Model
## 
##           Value                            797.663
##           Degrees of Freedom                    25
##           P-Value                           0.0000
## 
## SRMR (Standardized Root Mean Square Residual)
## 
##           Value                              0.013
## 
## 
## 
## MODEL RESULTS
## 
##                                                     Two-Tailed
##                     Estimate       S.E.  Est./S.E.    P-Value
## 
##  AWARE    ON
##     PDB                0.335      0.073      4.559      0.000
##     LDRDIVAD           0.212      0.058      3.635      0.000
## 
##  REGULATE ON
##     PDB                0.240      0.054      4.435      0.000
##     LDRDIVAD           0.099      0.043      2.300      0.021
## 
##  MANAGE   ON
##     PDB                0.281      0.077      3.662      0.000
##     LDRDIVAD           0.404      0.061      6.623      0.000
## 
##  RELALLY  ON
##     POLID             -0.012      0.026     -0.454      0.650
##     PDB                0.318      0.059      5.420      0.000
##     LDRDIVAD           0.201      0.044      4.607      0.000
##     AWARE              0.076      0.065      1.164      0.244
##     REGULATE           0.267      0.071      3.758      0.000
##     MANAGE             0.059      0.062      0.951      0.342
## 
##  ORGALLY  ON
##     POLID              0.030      0.039      0.772      0.440
##     PDB                0.205      0.086      2.391      0.017
##     LDRDIVAD           0.308      0.064      4.844      0.000
##     AWARE              0.143      0.095      1.498      0.134
##     REGULATE          -0.301      0.104     -2.905      0.004
##     MANAGE             0.415      0.091      4.574      0.000
## 
##  PDB      WITH
##     LDRDIVAD           0.536      0.087      6.131      0.000
##     POLID             -0.869      0.135     -6.444      0.000
## 
##  LDRDIVAD WITH
##     POLID             -0.149      0.154     -0.968      0.333
## 
##  AWARE    WITH
##     MANAGE             0.680      0.078      8.679      0.000
##     REGULATE           0.329      0.050      6.561      0.000
## 
##  REGULATE WITH
##     MANAGE             0.338      0.052      6.477      0.000
## 
##  ORGALLY  WITH
##     RELALLY            0.313      0.045      6.987      0.000
## 
##  Means
##     LDRDIVAD           0.000      0.082      0.000      1.000
##     PDB                0.000      0.065      0.000      1.000
##     POLID             -0.688      0.125     -5.493      0.000
## 
##  Intercepts
##     AWARE              3.690      0.064     57.767      0.000
##     REGULATE           4.278      0.047     90.881      0.000
##     MANAGE             3.409      0.067     51.076      0.000
##     RELALLY            1.917      0.266      7.210      0.000
##     ORGALLY            1.923      0.389      4.949      0.000
## 
##  Variances
##     LDRDIVAD           1.503      0.142     10.583      0.000
##     PDB                0.947      0.089     10.583      0.000
##     POLID              3.509      0.332     10.583      0.000
## 
##  Residual Variances
##     AWARE              0.914      0.086     10.583      0.000
##     REGULATE           0.496      0.047     10.583      0.000
##     MANAGE             0.998      0.094     10.583      0.000
##     RELALLY            0.406      0.038     10.583      0.000
##     ORGALLY            0.866      0.082     10.583      0.000
## 
## 
## QUALITY OF NUMERICAL RESULTS
## 
##      Condition Number for the Information Matrix              0.125E-03
##        (ratio of smallest to largest eigenvalue)
## 
## 
##      Beginning Time:  19:55:21
##         Ending Time:  19:55:21
##        Elapsed Time:  00:00:00
## 
## 
## 
## MUTHEN & MUTHEN
## 3463 Stoner Ave.
## Los Angeles, CA  90066
## 
## Tel: (310) 391-9971
## Fax: (310) 391-8971
## Web: www.StatModel.com
## Support: Support@StatModel.com
## 
## Copyright (c) 1998-2024 Muthen & Muthen