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## 
## ********************* PROCESS for R Version 4.1.1 ********************* 
##  
##            Written by Andrew F. Hayes, Ph.D.  www.afhayes.com              
##    Documentation available in Hayes (2022). www.guilford.com/p/hayes3   
##  
## *********************************************************************** 
##  
## PROCESS is now ready for use.
## Copyright 2022 by Andrew F. Hayes ALL RIGHTS RESERVED
## Workshop schedule at http://haskayne.ucalgary.ca/CCRAM
## 

Direct Effects

## 
## Call:
## lm(formula = punish_post ~ manip_check, data = df)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.7618 -0.7618  0.0433  0.8483  1.2382 
## 
## Coefficients:
##             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)  4.76180    0.10171   46.82  < 2e-16 ***
## manip_check  0.06498    0.02452    2.65  0.00849 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.063 on 298 degrees of freedom
## Multiple R-squared:  0.02302,    Adjusted R-squared:  0.01974 
## F-statistic: 7.021 on 1 and 298 DF,  p-value: 0.008488

character

Mediation analysis: manip_check -> character -> punish_post

## 
## ********************* PROCESS for R Version 4.1.1 ********************* 
##  
##            Written by Andrew F. Hayes, Ph.D.  www.afhayes.com              
##    Documentation available in Hayes (2022). www.guilford.com/p/hayes3   
##  
## *********************************************************************** 
##                    
## Model : 4          
##     Y : punish_post
##     X : manip_check
##     M : character  
## 
## Sample size: 300
## 
## Custom seed: 1234
## 
## 
## *********************************************************************** 
## Outcome Variable: character
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1561     0.0244     1.5564     7.4436     1.0000   298.0000     0.0067
## 
## Model: 
##                  coeff         se          t          p       LLCI       ULCI
## constant        2.3963     0.1193    20.0799     0.0000     2.1614     2.6311
## manip_check    -0.0785     0.0288    -2.7283     0.0067    -0.1351    -0.0219
## 
## *********************************************************************** 
## Outcome Variable: punish_post
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.4149     0.1722     0.9612    30.8855     2.0000   297.0000     0.0000
## 
## Model: 
##                  coeff         se          t          p       LLCI       ULCI
## constant        5.5598     0.1439    38.6488     0.0000     5.2767     5.8429
## manip_check     0.0388     0.0229     1.6964     0.0909    -0.0062     0.0839
## character      -0.3330     0.0455    -7.3153     0.0000    -0.4226    -0.2434
## 
## ************************ TOTAL EFFECT MODEL *************************** 
## Outcome Variable: punish_post
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1517     0.0230     1.1305     7.0205     1.0000   298.0000     0.0085
## 
## Model: 
##                  coeff         se          t          p       LLCI       ULCI
## constant        4.7618     0.1017    46.8187     0.0000     4.5616     4.9620
## manip_check     0.0650     0.0245     2.6496     0.0085     0.0167     0.1132
## 
## *********************************************************************** 
## Bootstrapping in progress. Please wait.
## 
## ************ TOTAL, DIRECT, AND INDIRECT EFFECTS OF X ON Y ************
## 
## Total effect of X on Y:
##       effect         se          t          p       LLCI       ULCI
##       0.0650     0.0245     2.6496     0.0085     0.0167     0.1132
## 
## Direct effect of X on Y:
##       effect         se          t          p       LLCI       ULCI
##       0.0388     0.0229     1.6964     0.0909    -0.0062     0.0839
## 
## Indirect effect(s) of X on Y:
##               Effect     BootSE   BootLLCI   BootULCI
## character     0.0261     0.0107     0.0066     0.0490
## 
## Normal theory test for indirect effect(s):
##               Effect         se          Z          p
## character     0.0261     0.0103     2.5356     0.0112
## 
## ******************** ANALYSIS NOTES AND ERRORS ************************ 
## 
## Level of confidence for all confidence intervals in output: 95
## 
## Number of bootstraps for percentile bootstrap confidence intervals: 10000

wrongness

Mediation analysis: manip_check -> wrongness -> punish_post

## 
## ********************* PROCESS for R Version 4.1.1 ********************* 
##  
##            Written by Andrew F. Hayes, Ph.D.  www.afhayes.com              
##    Documentation available in Hayes (2022). www.guilford.com/p/hayes3   
##  
## *********************************************************************** 
##                    
## Model : 4          
##     Y : punish_post
##     X : manip_check
##     M : wrongness  
## 
## Sample size: 300
## 
## Custom seed: 1234
## 
## 
## *********************************************************************** 
## Outcome Variable: wrongness
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1293     0.0167     0.5772     5.0655     1.0000   298.0000     0.0251
## 
## Model: 
##                  coeff         se          t          p       LLCI       ULCI
## constant        5.5529     0.0727    76.4126     0.0000     5.4099     5.6959
## manip_check     0.0394     0.0175     2.2507     0.0251     0.0050     0.0739
## 
## *********************************************************************** 
## Outcome Variable: punish_post
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.3804     0.1447     0.9930    25.1311     2.0000   297.0000     0.0000
## 
## Model: 
##                  coeff         se          t          p       LLCI       ULCI
## constant        2.0186     0.4326     4.6666     0.0000     1.1673     2.8699
## manip_check     0.0455     0.0232     1.9629     0.0506    -0.0001     0.0911
## wrongness       0.4940     0.0760     6.5015     0.0000     0.3445     0.6435
## 
## ************************ TOTAL EFFECT MODEL *************************** 
## Outcome Variable: punish_post
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1517     0.0230     1.1305     7.0205     1.0000   298.0000     0.0085
## 
## Model: 
##                  coeff         se          t          p       LLCI       ULCI
## constant        4.7618     0.1017    46.8187     0.0000     4.5616     4.9620
## manip_check     0.0650     0.0245     2.6496     0.0085     0.0167     0.1132
## 
## *********************************************************************** 
## Bootstrapping in progress. Please wait.
## 
## ************ TOTAL, DIRECT, AND INDIRECT EFFECTS OF X ON Y ************
## 
## Total effect of X on Y:
##       effect         se          t          p       LLCI       ULCI
##       0.0650     0.0245     2.6496     0.0085     0.0167     0.1132
## 
## Direct effect of X on Y:
##       effect         se          t          p       LLCI       ULCI
##       0.0455     0.0232     1.9629     0.0506    -0.0001     0.0911
## 
## Indirect effect(s) of X on Y:
##               Effect     BootSE   BootLLCI   BootULCI
## wrongness     0.0195     0.0122     0.0014     0.0477
## 
## Normal theory test for indirect effect(s):
##               Effect         se          Z          p
## wrongness     0.0195     0.0093     2.1047     0.0353
## 
## ******************** ANALYSIS NOTES AND ERRORS ************************ 
## 
## Level of confidence for all confidence intervals in output: 95
## 
## Number of bootstraps for percentile bootstrap confidence intervals: 10000

justification

Mediation analysis: manip_check -> justification -> punish_post

## 
## ********************* PROCESS for R Version 4.1.1 ********************* 
##  
##            Written by Andrew F. Hayes, Ph.D.  www.afhayes.com              
##    Documentation available in Hayes (2022). www.guilford.com/p/hayes3   
##  
## *********************************************************************** 
##                      
## Model : 4            
##     Y : punish_post  
##     X : manip_check  
##     M : justification
## 
## Sample size: 300
## 
## Custom seed: 1234
## 
## 
## *********************************************************************** 
## Outcome Variable: justification
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1073     0.0115     1.3824     3.4711     1.0000   298.0000     0.0634
## 
## Model: 
##                  coeff         se          t          p       LLCI       ULCI
## constant        0.7537     0.1125     6.7018     0.0000     0.5324     0.9751
## manip_check    -0.0505     0.0271    -1.8631     0.0634    -0.1039     0.0028
## 
## *********************************************************************** 
## Outcome Variable: punish_post
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.4228     0.1787     0.9536    32.3150     2.0000   297.0000     0.0000
## 
## Model: 
##                    coeff         se          t          p       LLCI       ULCI
## constant          5.0339     0.1002    50.2385     0.0000     4.8367     5.2311
## manip_check       0.0467     0.0227     2.0632     0.0400     0.0022     0.0913
## justification    -0.3610     0.0481    -7.5038     0.0000    -0.4557    -0.2663
## 
## ************************ TOTAL EFFECT MODEL *************************** 
## Outcome Variable: punish_post
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1517     0.0230     1.1305     7.0205     1.0000   298.0000     0.0085
## 
## Model: 
##                  coeff         se          t          p       LLCI       ULCI
## constant        4.7618     0.1017    46.8187     0.0000     4.5616     4.9620
## manip_check     0.0650     0.0245     2.6496     0.0085     0.0167     0.1132
## 
## *********************************************************************** 
## Bootstrapping in progress. Please wait.
## 
## ************ TOTAL, DIRECT, AND INDIRECT EFFECTS OF X ON Y ************
## 
## Total effect of X on Y:
##       effect         se          t          p       LLCI       ULCI
##       0.0650     0.0245     2.6496     0.0085     0.0167     0.1132
## 
## Direct effect of X on Y:
##       effect         se          t          p       LLCI       ULCI
##       0.0467     0.0227     2.0632     0.0400     0.0022     0.0913
## 
## Indirect effect(s) of X on Y:
##                   Effect     BootSE   BootLLCI   BootULCI
## justification     0.0182     0.0102     0.0009     0.0404
## 
## Normal theory test for indirect effect(s):
##                   Effect         se          Z          p
## justification     0.0182     0.0102     1.7933     0.0729
## 
## ******************** ANALYSIS NOTES AND ERRORS ************************ 
## 
## Level of confidence for all confidence intervals in output: 95
## 
## Number of bootstraps for percentile bootstrap confidence intervals: 10000

guilt

Mediation analysis: manip_check -> guilt -> punish_post

## 
## ********************* PROCESS for R Version 4.1.1 ********************* 
##  
##            Written by Andrew F. Hayes, Ph.D.  www.afhayes.com              
##    Documentation available in Hayes (2022). www.guilford.com/p/hayes3   
##  
## *********************************************************************** 
##                    
## Model : 4          
##     Y : punish_post
##     X : manip_check
##     M : guilt      
## 
## Sample size: 300
## 
## Custom seed: 1234
## 
## 
## *********************************************************************** 
## Outcome Variable: guilt
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1323     0.0175     2.8423     5.3052     1.0000   298.0000     0.0220
## 
## Model: 
##                  coeff         se          t          p       LLCI       ULCI
## constant        4.3762     0.1613    27.1362     0.0000     4.0588     4.6935
## manip_check    -0.0896     0.0389    -2.3033     0.0220    -0.1661    -0.0130
## 
## *********************************************************************** 
## Outcome Variable: punish_post
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1942     0.0377     1.1173     5.8187     2.0000   297.0000     0.0033
## 
## Model: 
##                  coeff         se          t          p       LLCI       ULCI
## constant        5.1002     0.1884    27.0748     0.0000     4.7295     5.4709
## manip_check     0.0581     0.0246     2.3603     0.0189     0.0096     0.1065
## guilt          -0.0773     0.0363    -2.1292     0.0341    -0.1488    -0.0059
## 
## ************************ TOTAL EFFECT MODEL *************************** 
## Outcome Variable: punish_post
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1517     0.0230     1.1305     7.0205     1.0000   298.0000     0.0085
## 
## Model: 
##                  coeff         se          t          p       LLCI       ULCI
## constant        4.7618     0.1017    46.8187     0.0000     4.5616     4.9620
## manip_check     0.0650     0.0245     2.6496     0.0085     0.0167     0.1132
## 
## *********************************************************************** 
## Bootstrapping in progress. Please wait.
## 
## ************ TOTAL, DIRECT, AND INDIRECT EFFECTS OF X ON Y ************
## 
## Total effect of X on Y:
##       effect         se          t          p       LLCI       ULCI
##       0.0650     0.0245     2.6496     0.0085     0.0167     0.1132
## 
## Direct effect of X on Y:
##       effect         se          t          p       LLCI       ULCI
##       0.0581     0.0246     2.3603     0.0189     0.0096     0.1065
## 
## Indirect effect(s) of X on Y:
##           Effect     BootSE   BootLLCI   BootULCI
## guilt     0.0069     0.0053    -0.0008     0.0191
## 
## Normal theory test for indirect effect(s):
##           Effect         se          Z          p
## guilt     0.0069     0.0046     1.4896     0.1363
## 
## ******************** ANALYSIS NOTES AND ERRORS ************************ 
## 
## Level of confidence for all confidence intervals in output: 95
## 
## Number of bootstraps for percentile bootstrap confidence intervals: 10000

SFC

Mediation analysis: manip_check -> SFC -> punish_post

## 
## ********************* PROCESS for R Version 4.1.1 ********************* 
##  
##            Written by Andrew F. Hayes, Ph.D.  www.afhayes.com              
##    Documentation available in Hayes (2022). www.guilford.com/p/hayes3   
##  
## *********************************************************************** 
##                    
## Model : 4          
##     Y : punish_post
##     X : manip_check
##     M : SFC        
## 
## Sample size: 300
## 
## Custom seed: 1234
## 
## 
## *********************************************************************** 
## Outcome Variable: SFC
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1794     0.0322     2.1609     9.9093     1.0000   298.0000     0.0018
## 
## Model: 
##                  coeff         se          t          p       LLCI       ULCI
## constant        2.9338     0.1406    20.8642     0.0000     2.6570     3.2105
## manip_check     0.1067     0.0339     3.1479     0.0018     0.0400     0.1735
## 
## *********************************************************************** 
## Outcome Variable: punish_post
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.3019     0.0911     1.0553    14.8872     2.0000   297.0000     0.0000
## 
## Model: 
##                  coeff         se          t          p       LLCI       ULCI
## constant        4.2016     0.1541    27.2572     0.0000     3.8982     4.5049
## manip_check     0.0446     0.0241     1.8517     0.0651    -0.0028     0.0920
## SFC             0.1910     0.0405     4.7173     0.0000     0.1113     0.2706
## 
## ************************ TOTAL EFFECT MODEL *************************** 
## Outcome Variable: punish_post
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1517     0.0230     1.1305     7.0205     1.0000   298.0000     0.0085
## 
## Model: 
##                  coeff         se          t          p       LLCI       ULCI
## constant        4.7618     0.1017    46.8187     0.0000     4.5616     4.9620
## manip_check     0.0650     0.0245     2.6496     0.0085     0.0167     0.1132
## 
## *********************************************************************** 
## Bootstrapping in progress. Please wait.
## 
## ************ TOTAL, DIRECT, AND INDIRECT EFFECTS OF X ON Y ************
## 
## Total effect of X on Y:
##       effect         se          t          p       LLCI       ULCI
##       0.0650     0.0245     2.6496     0.0085     0.0167     0.1132
## 
## Direct effect of X on Y:
##       effect         se          t          p       LLCI       ULCI
##       0.0446     0.0241     1.8517     0.0651    -0.0028     0.0920
## 
## Indirect effect(s) of X on Y:
##         Effect     BootSE   BootLLCI   BootULCI
## SFC     0.0204     0.0084     0.0061     0.0391
## 
## Normal theory test for indirect effect(s):
##         Effect         se          Z          p
## SFC     0.0204     0.0079     2.5787     0.0099
## 
## ******************** ANALYSIS NOTES AND ERRORS ************************ 
## 
## Level of confidence for all confidence intervals in output: 95
## 
## Number of bootstraps for percentile bootstrap confidence intervals: 10000

parallel

  • character
  • wrongness
  • justification
  • SFC

Mediation analysis: manip_check -> parallel -> punish_post

Process Report

## 
## ********************* PROCESS for R Version 4.1.1 ********************* 
##  
##            Written by Andrew F. Hayes, Ph.D.  www.afhayes.com              
##    Documentation available in Hayes (2022). www.guilford.com/p/hayes3   
##  
## *********************************************************************** 
##                      
## Model : 4            
##     Y : punish_post  
##     X : manip_check  
##    M1 : character    
##    M2 : wrongness    
##    M3 : justification
##    M4 : SFC          
## 
## Sample size: 300
## 
## Custom seed: 1234
## 
## 
## *********************************************************************** 
## Outcome Variable: character
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1561     0.0244     1.5564     7.4436     1.0000   298.0000     0.0067
## 
## Model: 
##                  coeff         se          t          p       LLCI       ULCI
## constant        2.3963     0.1193    20.0799     0.0000     2.1614     2.6311
## manip_check    -0.0785     0.0288    -2.7283     0.0067    -0.1351    -0.0219
## 
## *********************************************************************** 
## Outcome Variable: wrongness
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1293     0.0167     0.5772     5.0655     1.0000   298.0000     0.0251
## 
## Model: 
##                  coeff         se          t          p       LLCI       ULCI
## constant        5.5529     0.0727    76.4126     0.0000     5.4099     5.6959
## manip_check     0.0394     0.0175     2.2507     0.0251     0.0050     0.0739
## 
## *********************************************************************** 
## Outcome Variable: justification
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1073     0.0115     1.3824     3.4711     1.0000   298.0000     0.0634
## 
## Model: 
##                  coeff         se          t          p       LLCI       ULCI
## constant        0.7537     0.1125     6.7018     0.0000     0.5324     0.9751
## manip_check    -0.0505     0.0271    -1.8631     0.0634    -0.1039     0.0028
## 
## *********************************************************************** 
## Outcome Variable: SFC
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1794     0.0322     2.1609     9.9093     1.0000   298.0000     0.0018
## 
## Model: 
##                  coeff         se          t          p       LLCI       ULCI
## constant        2.9338     0.1406    20.8642     0.0000     2.6570     3.2105
## manip_check     0.1067     0.0339     3.1479     0.0018     0.0400     0.1735
## 
## *********************************************************************** 
## Outcome Variable: punish_post
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.5751     0.3307     0.7850    29.0562     5.0000   294.0000     0.0000
## 
## Model: 
##                    coeff         se          t          p       LLCI       ULCI
## constant          3.6497     0.5082     7.1809     0.0000     2.6494     4.6499
## manip_check       0.0103     0.0211     0.4885     0.6255    -0.0312     0.0517
## character        -0.2290     0.0430    -5.3247     0.0000    -0.3137    -0.1444
## wrongness         0.2452     0.0799     3.0674     0.0024     0.0879     0.4025
## justification    -0.2072     0.0522    -3.9710     0.0001    -0.3098    -0.1045
## SFC               0.1553     0.0353     4.4034     0.0000     0.0859     0.2247
## 
## ************************ TOTAL EFFECT MODEL *************************** 
## Outcome Variable: punish_post
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1517     0.0230     1.1305     7.0205     1.0000   298.0000     0.0085
## 
## Model: 
##                  coeff         se          t          p       LLCI       ULCI
## constant        4.7618     0.1017    46.8187     0.0000     4.5616     4.9620
## manip_check     0.0650     0.0245     2.6496     0.0085     0.0167     0.1132
## 
## *********************************************************************** 
## Bootstrapping in progress. Please wait.
## 
## ************ TOTAL, DIRECT, AND INDIRECT EFFECTS OF X ON Y ************
## 
## Total effect of X on Y:
##       effect         se          t          p       LLCI       ULCI
##       0.0650     0.0245     2.6496     0.0085     0.0167     0.1132
## 
## Direct effect of X on Y:
##       effect         se          t          p       LLCI       ULCI
##       0.0103     0.0211     0.4885     0.6255    -0.0312     0.0517
## 
## Indirect effect(s) of X on Y:
##                   Effect     BootSE   BootLLCI   BootULCI
## TOTAL             0.0547     0.0156     0.0269     0.0883
## character         0.0180     0.0081     0.0041     0.0359
## wrongness         0.0097     0.0078    -0.0001     0.0285
## justification     0.0105     0.0061     0.0005     0.0241
## SFC               0.0166     0.0069     0.0046     0.0317
## 
## Normal theory test for indirect effect(s):
##                   Effect         se          Z          p
## character         0.0180     0.0075     2.3949     0.0166
## wrongness         0.0097     0.0055     1.7550     0.0793
## justification     0.0105     0.0064     1.6445     0.1001
## SFC               0.0166     0.0066     2.5182     0.0118
## 
## ******************** ANALYSIS NOTES AND ERRORS ************************ 
## 
## Level of confidence for all confidence intervals in output: 95
## 
## Number of bootstraps for percentile bootstrap confidence intervals: 10000