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Valid entries

There is a total of 353 entries in the dataset. 18 participants failed the attention check or the comprehension check. The valid number of entries is n = 335.

Per the preregistration (section 5), mediation analyses examine whether the effect of training history on comfort is explained by intervening variables. Two separate datasets are used, each with its own reference category:

  • AI dataset: AI Positive (yes_ai, reference) vs. AI Negative (no_ai) vs. Control
  • Human dataset: Human Positive (yes_human, reference) vs. Human Negative (no_human) vs. Control

Candidate mediators (composite or individual DVs, per section 5): ability, benevolence, integrity, autonomy.

Creating composites

Description

ability

## 
## Reliability analysis   
## Call: psych::alpha(x = df_comp, na.rm = TRUE)
## 
##   raw_alpha std.alpha G6(smc) average_r S/N    ase mean  sd median_r
##       0.94      0.95    0.93      0.86  18 0.0052  4.8 1.1     0.85
## 
##     95% confidence boundaries 
##          lower alpha upper
## Feldt     0.93  0.94  0.95
## Duhachek  0.93  0.94  0.95
## 
##  Reliability if an item is dropped:
##          raw_alpha std.alpha G6(smc) average_r S/N alpha se var.r med.r
## ability1      0.91      0.92    0.85      0.85  11   0.0090    NA  0.85
## ability2      0.94      0.94    0.88      0.88  15   0.0069    NA  0.88
## ability3      0.91      0.91    0.84      0.84  11   0.0096    NA  0.84
## 
##  Item statistics 
##            n raw.r std.r r.cor r.drop mean  sd
## ability1 333  0.95  0.95  0.92   0.89  4.9 1.1
## ability2 335  0.95  0.94  0.89   0.87  4.7 1.3
## ability3 334  0.95  0.96  0.93   0.90  4.9 1.1
## 
## Non missing response frequency for each item
##             0    1    2    3    4    5    6 miss
## ability1 0.01 0.00 0.03 0.05 0.17 0.41 0.34 0.01
## ability2 0.01 0.02 0.06 0.04 0.18 0.43 0.26 0.00
## ability3 0.01 0.01 0.02 0.06 0.19 0.43 0.29 0.00

benevolence

## 
## Reliability analysis   
## Call: psych::alpha(x = df_comp, na.rm = TRUE)
## 
##   raw_alpha std.alpha G6(smc) average_r S/N  ase mean   sd median_r
##       0.89      0.89    0.86      0.73 8.2 0.01  4.7 0.98     0.69
## 
##     95% confidence boundaries 
##          lower alpha upper
## Feldt     0.87  0.89  0.91
## Duhachek  0.87  0.89  0.91
## 
##  Reliability if an item is dropped:
##              raw_alpha std.alpha G6(smc) average_r  S/N alpha se var.r med.r
## benevolence1      0.80      0.79    0.66      0.66  3.9   0.0224    NA  0.66
## benevolence2      0.92      0.92    0.85      0.85 11.0   0.0091    NA  0.85
## benevolence3      0.82      0.82    0.69      0.69  4.5   0.0198    NA  0.69
## 
##  Item statistics 
##                n raw.r std.r r.cor r.drop mean  sd
## benevolence1 335  0.93  0.93  0.91   0.85  4.6 1.1
## benevolence2 335  0.86  0.86  0.73   0.70  4.9 1.1
## benevolence3 333  0.92  0.92  0.88   0.82  4.5 1.1
## 
## Non missing response frequency for each item
##              0    2    3    4    5    6 miss
## benevolence1 0 0.00 0.21 0.18 0.38 0.23 0.00
## benevolence2 0 0.00 0.15 0.13 0.39 0.33 0.00
## benevolence3 0 0.01 0.25 0.20 0.35 0.20 0.01

integrity

## 
## Reliability analysis   
## Call: psych::alpha(x = df_comp, na.rm = TRUE)
## 
##   raw_alpha std.alpha G6(smc) average_r S/N   ase mean  sd median_r
##       0.88      0.88    0.83      0.71 7.3 0.011  4.4 1.1      0.7
## 
##     95% confidence boundaries 
##          lower alpha upper
## Feldt     0.85  0.88   0.9
## Duhachek  0.86  0.88   0.9
## 
##  Reliability if an item is dropped:
##            raw_alpha std.alpha G6(smc) average_r S/N alpha se var.r med.r
## integrity1      0.85      0.85    0.74      0.74 5.7    0.016    NA  0.74
## integrity2      0.82      0.82    0.70      0.70 4.7    0.019    NA  0.70
## integrity3      0.81      0.81    0.69      0.69 4.4    0.020    NA  0.69
## 
##  Item statistics 
##              n raw.r std.r r.cor r.drop mean  sd
## integrity1 333  0.89  0.89  0.79   0.74  3.9 1.2
## integrity2 334  0.90  0.90  0.83   0.77  4.6 1.2
## integrity3 332  0.90  0.91  0.84   0.78  4.6 1.1
## 
## Non missing response frequency for each item
##            0    1    2    3    4    5    6 miss
## integrity1 0 0.03 0.00 0.44 0.16 0.25 0.12 0.01
## integrity2 0 0.01 0.04 0.15 0.20 0.37 0.23 0.00
## integrity3 0 0.01 0.01 0.18 0.22 0.37 0.21 0.01

autonomy

## 
## Reliability analysis   
## Call: psych::alpha(x = df_comp, na.rm = TRUE)
## 
##   raw_alpha std.alpha G6(smc) average_r S/N   ase mean  sd median_r
##       0.84      0.84     0.8      0.64 5.4 0.015  4.4 1.1     0.59
## 
##     95% confidence boundaries 
##          lower alpha upper
## Feldt     0.80  0.84  0.87
## Duhachek  0.81  0.84  0.87
## 
##  Reliability if an item is dropped:
##           raw_alpha std.alpha G6(smc) average_r S/N alpha se var.r med.r
## autonomy1      0.69      0.71    0.55      0.55 2.5    0.032    NA  0.55
## autonomy2      0.74      0.74    0.59      0.59 2.9    0.029    NA  0.59
## autonomy3      0.87      0.88    0.78      0.78 7.3    0.014    NA  0.78
## 
##  Item statistics 
##             n raw.r std.r r.cor r.drop mean  sd
## autonomy1 331  0.91  0.91  0.86   0.79  4.5 1.3
## autonomy2 334  0.91  0.89  0.84   0.75  4.2 1.5
## autonomy3 335  0.80  0.82  0.64   0.60  4.5 1.1
## 
## Non missing response frequency for each item
##              0    1    2    3    4    5    6 miss
## autonomy1 0.00 0.02 0.03 0.17 0.20 0.33 0.25 0.01
## autonomy2 0.02 0.03 0.07 0.22 0.15 0.29 0.23 0.00
## autonomy3 0.00 0.01 0.00 0.27 0.15 0.38 0.19 0.00
## 
## ********************* 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
## 

Mediation helper functions

AI Training Dataset

Reference category: yes_ai (X1 = no_ai vs. yes_ai, X2 = control vs. yes_ai).

training n percentage
yes_ai 67 33.84%
no_ai 69 34.85%
control 62 31.31%

Direct Effect

## 
## Call:
## lm(formula = comfort ~ training, data = df_ai)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -3.9697 -0.5652  0.1803  0.4348  2.0303 
## 
## Coefficients:
##                 Estimate Std. Error t value Pr(>|t|)    
## (Intercept)       3.9697     0.1445  27.475  < 2e-16 ***
## trainingno_ai     1.5955     0.2021   7.895 2.14e-13 ***
## trainingcontrol   0.8500     0.2085   4.077 6.66e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.174 on 193 degrees of freedom
##   (2 observations deleted due to missingness)
## Multiple R-squared:  0.2442, Adjusted R-squared:  0.2364 
## F-statistic: 31.18 on 2 and 193 DF,  p-value: 1.842e-12

Simple Mediation

Testing each candidate mediator individually (Y = comfort).

ability

## 
## ********************* 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 : comfort      
##     X : ai_training_1
##     M : ability      
## 
## Sample size: 196
## 
## Custom seed: 1234
## 
## Coding of categorical X variable for analysis: 
##   ai_training_1         X1         X2
##          1.0000     0.0000     0.0000
##          2.0000     1.0000     0.0000
##          3.0000     0.0000     1.0000
## 
## *********************************************************************** 
## Outcome Variable: ability
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.5136     0.2638     0.9083    34.5844     2.0000   193.0000     0.0000
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     4.1364     0.1173    35.2594     0.0000     3.9050     4.3677
## X1           1.3564     0.1641     8.2660     0.0000     1.0327     1.6800
## X2           0.8281     0.1693     4.8923     0.0000     0.4943     1.1620
## 
## *********************************************************************** 
## Outcome Variable: comfort
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.8750     0.7656     0.4295   209.0710     3.0000   192.0000     0.0000
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant    -0.2617     0.2201    -1.1893     0.2358    -0.6957     0.1723
## X1           0.2080     0.1313     1.5839     0.1149    -0.0510     0.4669
## X2           0.0028     0.1234     0.0229     0.9817    -0.2406     0.2462
## ability      1.0230     0.0495    20.6675     0.0000     0.9254     1.1206
## 
## ************************ TOTAL EFFECT MODEL *************************** 
## Outcome Variable: comfort
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.4942     0.2442     1.3778    31.1821     2.0000   193.0000     0.0000
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     3.9697     0.1445    27.4751     0.0000     3.6847     4.2547
## X1           1.5955     0.2021     7.8948     0.0000     1.1969     1.9941
## X2           0.8500     0.2085     4.0771     0.0001     0.4388     1.2612
## 
## *********************************************************************** 
## Bootstrapping in progress. Please wait.
## 
## ************ TOTAL, DIRECT, AND INDIRECT EFFECTS OF X ON Y ************
## 
## Relative total effects of X on Y:
##        effect         se          t          p       LLCI       ULCI
## X1     1.5955     0.2021     7.8948     0.0000     1.1969     1.9941
## X2     0.8500     0.2085     4.0771     0.0001     0.4388     1.2612
## 
## Omnibus test of total effect of X on Y:
##      R2-chng          F        df1        df2          p
##       0.2442    31.1821     2.0000   193.0000     0.0000
## ----------
## 
## Relative direct effects of X on Y:
##        effect         se          t          p       LLCI       ULCI
## X1     0.2080     0.1313     1.5839     0.1149    -0.0510     0.4669
## X2     0.0028     0.1234     0.0229     0.9817    -0.2406     0.2462
## 
## Omnibus test of direct effect of X on Y:
##      R2-chng          F        df1        df2          p
##       0.0045     1.8323     2.0000   192.0000     0.1628
## 
## ----------
## 
## Relative indirect effects of X on Y:
## 
## ai_training_1    ->    ability    ->    comfort
## 
##        Effect     BootSE   BootLLCI   BootULCI
## X1     1.3876     0.1903     1.0288     1.7758
## X2     0.8471     0.1966     0.4671     1.2379
## 
##    Normal theory test for relative indirect effects:
##        Effect         se          Z          p
## X1     1.3876     0.1810     7.6672     0.0000
## X2     0.8471     0.1781     4.7554     0.0000
## 
## ******************** ANALYSIS NOTES AND ERRORS ************************ 
## 
## Level of confidence for all confidence intervals in output: 95
## 
## Number of bootstraps for percentile bootstrap confidence intervals: 10000
##  
## NOTE: Some cases with missing data were deleted. The number of deleted cases was: 2
## 
## RESULT: BOTH relative indirect effects' bootstrap CIs exclude zero -- `ability` IS a candidate for the parallel model.

benevolence

## 
## ********************* 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 : comfort      
##     X : ai_training_1
##     M : benevolence  
## 
## Sample size: 196
## 
## Custom seed: 1234
## 
## Coding of categorical X variable for analysis: 
##   ai_training_1         X1         X2
##          1.0000     0.0000     0.0000
##          2.0000     1.0000     0.0000
##          3.0000     0.0000     1.0000
## 
## *********************************************************************** 
## Outcome Variable: benevolence
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1884     0.0355     1.0214     3.5503     2.0000   193.0000     0.0306
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     4.4091     0.1244    35.4416     0.0000     4.1637     4.6545
## X1           0.4605     0.1740     2.6462     0.0088     0.1173     0.8037
## X2           0.1865     0.1795     1.0392     0.3000    -0.1675     0.5406
## 
## *********************************************************************** 
## Outcome Variable: comfort
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.6033     0.3639     1.1656    36.6181     3.0000   192.0000     0.0000
## 
## Model: 
##                  coeff         se          t          p       LLCI       ULCI
## constant        1.9317     0.3641     5.3048     0.0000     1.2135     2.6499
## X1              1.3827     0.1892     7.3070     0.0000     1.0094     1.7559
## X2              0.7638     0.1923     3.9720     0.0001     0.3845     1.1430
## benevolence     0.4622     0.0769     6.0114     0.0000     0.3106     0.6139
## 
## ************************ TOTAL EFFECT MODEL *************************** 
## Outcome Variable: comfort
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.4942     0.2442     1.3778    31.1821     2.0000   193.0000     0.0000
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     3.9697     0.1445    27.4751     0.0000     3.6847     4.2547
## X1           1.5955     0.2021     7.8948     0.0000     1.1969     1.9941
## X2           0.8500     0.2085     4.0771     0.0001     0.4388     1.2612
## 
## *********************************************************************** 
## Bootstrapping in progress. Please wait.
## 
## ************ TOTAL, DIRECT, AND INDIRECT EFFECTS OF X ON Y ************
## 
## Relative total effects of X on Y:
##        effect         se          t          p       LLCI       ULCI
## X1     1.5955     0.2021     7.8948     0.0000     1.1969     1.9941
## X2     0.8500     0.2085     4.0771     0.0001     0.4388     1.2612
## 
## Omnibus test of total effect of X on Y:
##      R2-chng          F        df1        df2          p
##       0.2442    31.1821     2.0000   193.0000     0.0000
## ----------
## 
## Relative direct effects of X on Y:
##        effect         se          t          p       LLCI       ULCI
## X1     1.3827     0.1892     7.3070     0.0000     1.0094     1.7559
## X2     0.7638     0.1923     3.9720     0.0001     0.3845     1.1430
## 
## Omnibus test of direct effect of X on Y:
##      R2-chng          F        df1        df2          p
##       0.1773    26.7658     2.0000   192.0000     0.0000
## 
## ----------
## 
## Relative indirect effects of X on Y:
## 
## ai_training_1    ->    benevolence    ->    comfort
## 
##        Effect     BootSE   BootLLCI   BootULCI
## X1     0.2128     0.0913     0.0497     0.4080
## X2     0.0862     0.0880    -0.0763     0.2724
## 
##    Normal theory test for relative indirect effects:
##        Effect         se          Z          p
## X1     0.2128     0.0889     2.3944     0.0166
## X2     0.0862     0.0853     1.0105     0.3123
## 
## ******************** ANALYSIS NOTES AND ERRORS ************************ 
## 
## Level of confidence for all confidence intervals in output: 95
## 
## Number of bootstraps for percentile bootstrap confidence intervals: 10000
##  
## NOTE: Some cases with missing data were deleted. The number of deleted cases was: 2
## 
## RESULT: at least one relative indirect effect's bootstrap CI includes zero -- `benevolence` is NOT included in the parallel model.

integrity

## 
## ********************* 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 : comfort      
##     X : ai_training_1
##     M : integrity    
## 
## Sample size: 196
## 
## Custom seed: 1234
## 
## Coding of categorical X variable for analysis: 
##   ai_training_1         X1         X2
##          1.0000     0.0000     0.0000
##          2.0000     1.0000     0.0000
##          3.0000     0.0000     1.0000
## 
## *********************************************************************** 
## Outcome Variable: integrity
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.3572     0.1276     1.1036    14.1103     2.0000   193.0000     0.0000
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     3.8460     0.1293    29.7421     0.0000     3.5909     4.1010
## X1           0.9608     0.1809     5.3120     0.0000     0.6041     1.3175
## X2           0.4819     0.1866     2.5828     0.0105     0.1139     0.8499
## 
## *********************************************************************** 
## Outcome Variable: comfort
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.6791     0.4611     0.9874    54.7708     3.0000   192.0000     0.0000
## 
## Model: 
##                coeff         se          t          p       LLCI       ULCI
## constant      1.6675     0.2890     5.7693     0.0000     1.0974     2.2375
## X1            1.0204     0.1832     5.5706     0.0000     0.6591     1.3817
## X2            0.5615     0.1795     3.1279     0.0020     0.2074     0.9156
## integrity     0.5986     0.0681     8.7918     0.0000     0.4643     0.7329
## 
## ************************ TOTAL EFFECT MODEL *************************** 
## Outcome Variable: comfort
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.4942     0.2442     1.3778    31.1821     2.0000   193.0000     0.0000
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     3.9697     0.1445    27.4751     0.0000     3.6847     4.2547
## X1           1.5955     0.2021     7.8948     0.0000     1.1969     1.9941
## X2           0.8500     0.2085     4.0771     0.0001     0.4388     1.2612
## 
## *********************************************************************** 
## Bootstrapping in progress. Please wait.
## 
## ************ TOTAL, DIRECT, AND INDIRECT EFFECTS OF X ON Y ************
## 
## Relative total effects of X on Y:
##        effect         se          t          p       LLCI       ULCI
## X1     1.5955     0.2021     7.8948     0.0000     1.1969     1.9941
## X2     0.8500     0.2085     4.0771     0.0001     0.4388     1.2612
## 
## Omnibus test of total effect of X on Y:
##      R2-chng          F        df1        df2          p
##       0.2442    31.1821     2.0000   193.0000     0.0000
## ----------
## 
## Relative direct effects of X on Y:
##        effect         se          t          p       LLCI       ULCI
## X1     1.0204     0.1832     5.5706     0.0000     0.6591     1.3817
## X2     0.5615     0.1795     3.1279     0.0020     0.2074     0.9156
## 
## Omnibus test of direct effect of X on Y:
##      R2-chng          F        df1        df2          p
##       0.0873    15.5519     2.0000   192.0000     0.0000
## 
## ----------
## 
## Relative indirect effects of X on Y:
## 
## ai_training_1    ->    integrity    ->    comfort
## 
##        Effect     BootSE   BootLLCI   BootULCI
## X1     0.5752     0.1311     0.3314     0.8422
## X2     0.2885     0.1224     0.0640     0.5417
## 
##    Normal theory test for relative indirect effects:
##        Effect         se          Z          p
## X1     0.5752     0.1271     4.5252     0.0000
## X2     0.2885     0.1171     2.4635     0.0138
## 
## ******************** ANALYSIS NOTES AND ERRORS ************************ 
## 
## Level of confidence for all confidence intervals in output: 95
## 
## Number of bootstraps for percentile bootstrap confidence intervals: 10000
##  
## NOTE: Some cases with missing data were deleted. The number of deleted cases was: 2
## 
## RESULT: BOTH relative indirect effects' bootstrap CIs exclude zero -- `integrity` IS a candidate for the parallel model.

autonomy

## 
## ********************* 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 : comfort      
##     X : ai_training_1
##     M : autonomy     
## 
## Sample size: 196
## 
## Custom seed: 1234
## 
## Coding of categorical X variable for analysis: 
##   ai_training_1         X1         X2
##          1.0000     0.0000     0.0000
##          2.0000     1.0000     0.0000
##          3.0000     0.0000     1.0000
## 
## *********************************************************************** 
## Outcome Variable: autonomy
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.5322     0.2833     1.1100    38.1389     2.0000   193.0000     0.0000
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     3.5177     0.1297    27.1253     0.0000     3.2619     3.7735
## X1           1.5838     0.1814     8.7311     0.0000     1.2260     1.9415
## X2           0.7747     0.1871     4.1400     0.0001     0.4056     1.1437
## 
## *********************************************************************** 
## Outcome Variable: comfort
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.7100     0.5041     0.9087    65.0633     3.0000   192.0000     0.0000
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     1.6714     0.2574     6.4934     0.0000     1.1637     2.1791
## X1           0.5608     0.1938     2.8928     0.0043     0.1784     0.9431
## X2           0.3438     0.1767     1.9463     0.0531    -0.0046     0.6923
## autonomy     0.6533     0.0651    10.0315     0.0000     0.5249     0.7818
## 
## ************************ TOTAL EFFECT MODEL *************************** 
## Outcome Variable: comfort
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.4942     0.2442     1.3778    31.1821     2.0000   193.0000     0.0000
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     3.9697     0.1445    27.4751     0.0000     3.6847     4.2547
## X1           1.5955     0.2021     7.8948     0.0000     1.1969     1.9941
## X2           0.8500     0.2085     4.0771     0.0001     0.4388     1.2612
## 
## *********************************************************************** 
## Bootstrapping in progress. Please wait.
## 
## ************ TOTAL, DIRECT, AND INDIRECT EFFECTS OF X ON Y ************
## 
## Relative total effects of X on Y:
##        effect         se          t          p       LLCI       ULCI
## X1     1.5955     0.2021     7.8948     0.0000     1.1969     1.9941
## X2     0.8500     0.2085     4.0771     0.0001     0.4388     1.2612
## 
## Omnibus test of total effect of X on Y:
##      R2-chng          F        df1        df2          p
##       0.2442    31.1821     2.0000   193.0000     0.0000
## ----------
## 
## Relative direct effects of X on Y:
##        effect         se          t          p       LLCI       ULCI
## X1     0.5608     0.1938     2.8928     0.0043     0.1784     0.9431
## X2     0.3438     0.1767     1.9463     0.0531    -0.0046     0.6923
## 
## Omnibus test of direct effect of X on Y:
##      R2-chng          F        df1        df2          p
##       0.0221     4.2694     2.0000   192.0000     0.0153
## 
## ----------
## 
## Relative indirect effects of X on Y:
## 
## ai_training_1    ->    autonomy    ->    comfort
## 
##        Effect     BootSE   BootLLCI   BootULCI
## X1     1.0348     0.1606     0.7385     1.3629
## X2     0.5061     0.1447     0.2306     0.8018
## 
##    Normal theory test for relative indirect effects:
##        Effect         se          Z          p
## X1     1.0348     0.1576     6.5674     0.0000
## X2     0.5061     0.1328     3.8108     0.0001
## 
## ******************** ANALYSIS NOTES AND ERRORS ************************ 
## 
## Level of confidence for all confidence intervals in output: 95
## 
## Number of bootstraps for percentile bootstrap confidence intervals: 10000
##  
## NOTE: Some cases with missing data were deleted. The number of deleted cases was: 2
## 
## RESULT: BOTH relative indirect effects' bootstrap CIs exclude zero -- `autonomy` IS a candidate for the parallel model.

Decision

mediator significant_indirect_effect
ability TRUE
benevolence FALSE
integrity TRUE
autonomy TRUE

** 3 candidate mediators ( ability, integrity, autonomy ) had BOTH relative indirect effects’ bootstrap CIs exclude zero in the AI dataset . Per the preregistration, a parallel mediation model follows below.**

Parallel Mediation

## 
## ********************* 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 : comfort      
##     X : ai_training_1
##    M1 : ability      
##    M2 : integrity    
##    M3 : autonomy     
## 
## Sample size: 196
## 
## Custom seed: 1234
## 
## Coding of categorical X variable for analysis: 
##   ai_training_1         X1         X2
##          1.0000     0.0000     0.0000
##          2.0000     1.0000     0.0000
##          3.0000     0.0000     1.0000
## 
## *********************************************************************** 
## Outcome Variable: ability
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.5136     0.2638     0.9083    34.5844     2.0000   193.0000     0.0000
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     4.1364     0.1173    35.2594     0.0000     3.9050     4.3677
## X1           1.3564     0.1641     8.2660     0.0000     1.0327     1.6800
## X2           0.8281     0.1693     4.8923     0.0000     0.4943     1.1620
## 
## *********************************************************************** 
## Outcome Variable: integrity
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.3572     0.1276     1.1036    14.1103     2.0000   193.0000     0.0000
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     3.8460     0.1293    29.7421     0.0000     3.5909     4.1010
## X1           0.9608     0.1809     5.3120     0.0000     0.6041     1.3175
## X2           0.4819     0.1866     2.5828     0.0105     0.1139     0.8499
## 
## *********************************************************************** 
## Outcome Variable: autonomy
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.5322     0.2833     1.1100    38.1389     2.0000   193.0000     0.0000
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     3.5177     0.1297    27.1253     0.0000     3.2619     3.7735
## X1           1.5838     0.1814     8.7311     0.0000     1.2260     1.9415
## X2           0.7747     0.1871     4.1400     0.0001     0.4056     1.1437
## 
## *********************************************************************** 
## Outcome Variable: comfort
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.8770     0.7691     0.4276   126.5747     5.0000   190.0000     0.0000
## 
## Model: 
##                coeff         se          t          p       LLCI       ULCI
## constant     -0.2963     0.2275    -1.3021     0.1945    -0.7451     0.1525
## X1            0.1374     0.1388     0.9897     0.3236    -0.1364     0.4112
## X2           -0.0210     0.1246    -0.1687     0.8662    -0.2667     0.2247
## ability       0.9603     0.0663    14.4834     0.0000     0.8295     1.0911
## integrity    -0.0302     0.0756    -0.4001     0.6895    -0.1793     0.1188
## autonomy      0.1166     0.0778     1.4990     0.1355    -0.0368     0.2700
## 
## ************************ TOTAL EFFECT MODEL *************************** 
## Outcome Variable: comfort
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.4942     0.2442     1.3778    31.1821     2.0000   193.0000     0.0000
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     3.9697     0.1445    27.4751     0.0000     3.6847     4.2547
## X1           1.5955     0.2021     7.8948     0.0000     1.1969     1.9941
## X2           0.8500     0.2085     4.0771     0.0001     0.4388     1.2612
## 
## *********************************************************************** 
## Bootstrapping in progress. Please wait.
## 
## ************ TOTAL, DIRECT, AND INDIRECT EFFECTS OF X ON Y ************
## 
## Relative total effects of X on Y:
##        effect         se          t          p       LLCI       ULCI
## X1     1.5955     0.2021     7.8948     0.0000     1.1969     1.9941
## X2     0.8500     0.2085     4.0771     0.0001     0.4388     1.2612
## 
## Omnibus test of total effect of X on Y:
##      R2-chng          F        df1        df2          p
##       0.2442    31.1821     2.0000   193.0000     0.0000
## ----------
## 
## Relative direct effects of X on Y:
##        effect         se          t          p       LLCI       ULCI
## X1     0.1374     0.1388     0.9897     0.3236    -0.1364     0.4112
## X2    -0.0210     0.1246    -0.1687     0.8662    -0.2667     0.2247
## 
## Omnibus test of direct effect of X on Y:
##      R2-chng          F        df1        df2          p
##       0.0022     0.9070     2.0000   190.0000     0.4055
## 
## ----------
## 
## Relative indirect effects of X on Y:
## 
## ai_training_1    ->    ability    ->    comfort
## 
##        Effect     BootSE   BootLLCI   BootULCI
## X1     1.3025     0.1919     0.9351     1.6915
## X2     0.7952     0.1904     0.4317     1.1814
## 
##    Normal theory test for relative indirect effects:
##        Effect         se          Z          p
## X1     1.3025     0.1818     7.1662     0.0000
## X2     0.7952     0.1719     4.6251     0.0000
## 
## ai_training_1    ->    integrity    ->    comfort
## 
##        Effect     BootSE   BootLLCI   BootULCI
## X1    -0.0291     0.0731    -0.1804     0.1113
## X2    -0.0146     0.0389    -0.0958     0.0632
## 
##    Normal theory test for relative indirect effects:
##        Effect         se          Z          p
## X1    -0.0291     0.0741    -0.3921     0.6949
## X2    -0.0146     0.0395    -0.3693     0.7119
## 
## ai_training_1    ->    autonomy    ->    comfort
## 
##        Effect     BootSE   BootLLCI   BootULCI
## X1     0.1846     0.1163    -0.0312     0.4266
## X2     0.0903     0.0619    -0.0148     0.2279
## 
##    Normal theory test for relative indirect effects:
##        Effect         se          Z          p
## X1     0.1846     0.1258     1.4680     0.1421
## X2     0.0903     0.0657     1.3744     0.1693
## 
## ******************** ANALYSIS NOTES AND ERRORS ************************ 
## 
## Level of confidence for all confidence intervals in output: 95
## 
## Number of bootstraps for percentile bootstrap confidence intervals: 10000
##  
## NOTE: Some cases with missing data were deleted. The number of deleted cases was: 2
## 
## ========================================================================
## SUMMARY: which mediator(s) survived the parallel model
## ========================================================================
## Criterion: BOTH relative indirect effects (X1 and X2) must have
## bootstrap CIs excluding zero, controlling for the other mediator(s).
## 
##   - ability     branch X1 (no_ai vs. yes_ai (reference)): indirect effect = 1.3025, p = 0.0000 (normal-theory test), 95% bootstrap CI [0.9351, 1.6915]
##   - ability     branch X2 (control vs. yes_ai (reference)): indirect effect = 0.7952, p = 0.0000 (normal-theory test), 95% bootstrap CI [0.4317, 1.1814]

Human Training Dataset

Reference category: yes_human (X1 = no_human vs. yes_human, X2 = control vs. yes_human).

training n percentage
yes_human 71 35.68%
no_human 66 33.17%
control 62 31.16%

Direct Effect

## 
## Call:
## lm(formula = comfort ~ training, data = df_human)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.8028 -0.8028  0.1803  1.1803  1.7121 
## 
## Coefficients:
##                  Estimate Std. Error t value Pr(>|t|)    
## (Intercept)       4.80282    0.14958  32.108   <2e-16 ***
## trainingno_human -0.51494    0.21551  -2.389   0.0178 *  
## trainingcontrol   0.01686    0.22004   0.077   0.9390    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.26 on 195 degrees of freedom
##   (1 observation deleted due to missingness)
## Multiple R-squared:  0.03739,    Adjusted R-squared:  0.02751 
## F-statistic: 3.787 on 2 and 195 DF,  p-value: 0.02435

Simple Mediation

Testing each candidate mediator individually (Y = comfort).

ability

## 
## ********************* 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 : comfort         
##     X : human_training_1
##     M : ability         
## 
## Sample size: 198
## 
## Custom seed: 1234
## 
## Coding of categorical X variable for analysis: 
##   human_training_1         X1         X2
##             1.0000     0.0000     0.0000
##             2.0000     1.0000     0.0000
##             3.0000     0.0000     1.0000
## 
## *********************************************************************** 
## Outcome Variable: ability
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1422     0.0202     0.9246     2.0135     2.0000   195.0000     0.1363
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     4.8920     0.1141    42.8680     0.0000     4.6670     5.1171
## X1          -0.2506     0.1644    -1.5242     0.1291    -0.5749     0.0737
## X2           0.0725     0.1679     0.4317     0.6665    -0.2586     0.4035
## 
## *********************************************************************** 
## Outcome Variable: comfort
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.8454     0.7147     0.4733   161.9922     3.0000   194.0000     0.0000
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant    -0.5760     0.2636    -2.1851     0.0301    -1.0959    -0.0561
## X1          -0.2394     0.1183    -2.0232     0.0444    -0.4728    -0.0060
## X2          -0.0628     0.1202    -0.5228     0.6017    -0.2998     0.1742
## ability      1.0995     0.0512    21.4605     0.0000     0.9985     1.2006
## 
## ************************ TOTAL EFFECT MODEL *************************** 
## Outcome Variable: comfort
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1934     0.0374     1.5886     3.7869     2.0000   195.0000     0.0244
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     4.8028     0.1496    32.1079     0.0000     4.5078     5.0978
## X1          -0.5149     0.2155    -2.3894     0.0178    -0.9400    -0.0899
## X2           0.0169     0.2200     0.0766     0.9390    -0.4171     0.4508
## 
## *********************************************************************** 
## Bootstrapping in progress. Please wait.
## 
## ************ TOTAL, DIRECT, AND INDIRECT EFFECTS OF X ON Y ************
## 
## Relative total effects of X on Y:
##        effect         se          t          p       LLCI       ULCI
## X1    -0.5149     0.2155    -2.3894     0.0178    -0.9400    -0.0899
## X2     0.0169     0.2200     0.0766     0.9390    -0.4171     0.4508
## 
## Omnibus test of total effect of X on Y:
##      R2-chng          F        df1        df2          p
##       0.0374     3.7869     2.0000   195.0000     0.0244
## ----------
## 
## Relative direct effects of X on Y:
##        effect         se          t          p       LLCI       ULCI
## X1    -0.2394     0.1183    -2.0232     0.0444    -0.4728    -0.0060
## X2    -0.0628     0.1202    -0.5228     0.6017    -0.2998     0.1742
## 
## Omnibus test of direct effect of X on Y:
##      R2-chng          F        df1        df2          p
##       0.0063     2.1586     2.0000   194.0000     0.1183
## 
## ----------
## 
## Relative indirect effects of X on Y:
## 
## human_training_1    ->    ability    ->    comfort
## 
##        Effect     BootSE   BootLLCI   BootULCI
## X1    -0.2755     0.1927    -0.6562     0.1035
## X2     0.0797     0.1725    -0.2560     0.4210
## 
##    Normal theory test for relative indirect effects:
##        Effect         se          Z          p
## X1    -0.2755     0.1814    -1.5187     0.1288
## X2     0.0797     0.1848     0.4311     0.6664
## 
## ******************** ANALYSIS NOTES AND ERRORS ************************ 
## 
## Level of confidence for all confidence intervals in output: 95
## 
## Number of bootstraps for percentile bootstrap confidence intervals: 10000
##  
## NOTE: Some cases with missing data were deleted. The number of deleted cases was: 1
## 
## RESULT: at least one relative indirect effect's bootstrap CI includes zero -- `ability` is NOT included in the parallel model.

benevolence

## 
## ********************* 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 : comfort         
##     X : human_training_1
##     M : benevolence     
## 
## Sample size: 198
## 
## Custom seed: 1234
## 
## Coding of categorical X variable for analysis: 
##   human_training_1         X1         X2
##             1.0000     0.0000     0.0000
##             2.0000     1.0000     0.0000
##             3.0000     0.0000     1.0000
## 
## *********************************************************************** 
## Outcome Variable: benevolence
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1025     0.0105     0.9066     1.0354     2.0000   195.0000     0.3570
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     4.7934     0.1130    42.4197     0.0000     4.5706     5.0163
## X1          -0.2076     0.1628    -1.2750     0.2038    -0.5287     0.1135
## X2          -0.1978     0.1662    -1.1899     0.2355    -0.5256     0.1300
## 
## *********************************************************************** 
## Outcome Variable: comfort
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.5008     0.2508     1.2428    21.6502     3.0000   194.0000     0.0000
## 
## Model: 
##                  coeff         se          t          p       LLCI       ULCI
## constant        1.8150     0.4231     4.2895     0.0000     0.9805     2.6495
## X1             -0.3856     0.1914    -2.0143     0.0454    -0.7631    -0.0080
## X2              0.1401     0.1953     0.7175     0.4739    -0.2451     0.5254
## benevolence     0.6233     0.0838     7.4343     0.0000     0.4580     0.7887
## 
## ************************ TOTAL EFFECT MODEL *************************** 
## Outcome Variable: comfort
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1934     0.0374     1.5886     3.7869     2.0000   195.0000     0.0244
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     4.8028     0.1496    32.1079     0.0000     4.5078     5.0978
## X1          -0.5149     0.2155    -2.3894     0.0178    -0.9400    -0.0899
## X2           0.0169     0.2200     0.0766     0.9390    -0.4171     0.4508
## 
## *********************************************************************** 
## Bootstrapping in progress. Please wait.
## 
## ************ TOTAL, DIRECT, AND INDIRECT EFFECTS OF X ON Y ************
## 
## Relative total effects of X on Y:
##        effect         se          t          p       LLCI       ULCI
## X1    -0.5149     0.2155    -2.3894     0.0178    -0.9400    -0.0899
## X2     0.0169     0.2200     0.0766     0.9390    -0.4171     0.4508
## 
## Omnibus test of total effect of X on Y:
##      R2-chng          F        df1        df2          p
##       0.0374     3.7869     2.0000   195.0000     0.0244
## ----------
## 
## Relative direct effects of X on Y:
##        effect         se          t          p       LLCI       ULCI
## X1    -0.3856     0.1914    -2.0143     0.0454    -0.7631    -0.0080
## X2     0.1401     0.1953     0.7175     0.4739    -0.2451     0.5254
## 
## Omnibus test of direct effect of X on Y:
##      R2-chng          F        df1        df2          p
##       0.0297     3.8447     2.0000   194.0000     0.0230
## 
## ----------
## 
## Relative indirect effects of X on Y:
## 
## human_training_1    ->    benevolence    ->    comfort
## 
##        Effect     BootSE   BootLLCI   BootULCI
## X1    -0.1294     0.0996    -0.3248     0.0656
## X2    -0.1233     0.1118    -0.3458     0.0966
## 
##    Normal theory test for relative indirect effects:
##        Effect         se          Z          p
## X1    -0.1294     0.1039    -1.2457     0.2129
## X2    -0.1233     0.1059    -1.1647     0.2441
## 
## ******************** ANALYSIS NOTES AND ERRORS ************************ 
## 
## Level of confidence for all confidence intervals in output: 95
## 
## Number of bootstraps for percentile bootstrap confidence intervals: 10000
##  
## NOTE: Some cases with missing data were deleted. The number of deleted cases was: 1
## 
## RESULT: at least one relative indirect effect's bootstrap CI includes zero -- `benevolence` is NOT included in the parallel model.

integrity

## 
## ********************* 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 : comfort         
##     X : human_training_1
##     M : integrity       
## 
## Sample size: 198
## 
## Custom seed: 1234
## 
## Coding of categorical X variable for analysis: 
##   human_training_1         X1         X2
##             1.0000     0.0000     0.0000
##             2.0000     1.0000     0.0000
##             3.0000     0.0000     1.0000
## 
## *********************************************************************** 
## Outcome Variable: integrity
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1988     0.0395     0.8878     4.0111     2.0000   195.0000     0.0196
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     4.6033     0.1118    41.1669     0.0000     4.3828     4.8238
## X1          -0.4518     0.1611    -2.8042     0.0056    -0.7695    -0.1340
## X2          -0.2754     0.1645    -1.6744     0.0957    -0.5998     0.0490
## 
## *********************************************************************** 
## Outcome Variable: comfort
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.5196     0.2700     1.2110    23.9189     3.0000   194.0000     0.0000
## 
## Model: 
##                coeff         se          t          p       LLCI       ULCI
## constant      1.7757     0.4066     4.3677     0.0000     0.9739     2.5775
## X1           -0.2179     0.1919    -1.1352     0.2577    -0.5964     0.1607
## X2            0.1980     0.1935     1.0232     0.3075    -0.1836     0.5796
## integrity     0.6576     0.0836     7.8626     0.0000     0.4926     0.8226
## 
## ************************ TOTAL EFFECT MODEL *************************** 
## Outcome Variable: comfort
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1934     0.0374     1.5886     3.7869     2.0000   195.0000     0.0244
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     4.8028     0.1496    32.1079     0.0000     4.5078     5.0978
## X1          -0.5149     0.2155    -2.3894     0.0178    -0.9400    -0.0899
## X2           0.0169     0.2200     0.0766     0.9390    -0.4171     0.4508
## 
## *********************************************************************** 
## Bootstrapping in progress. Please wait.
## 
## ************ TOTAL, DIRECT, AND INDIRECT EFFECTS OF X ON Y ************
## 
## Relative total effects of X on Y:
##        effect         se          t          p       LLCI       ULCI
## X1    -0.5149     0.2155    -2.3894     0.0178    -0.9400    -0.0899
## X2     0.0169     0.2200     0.0766     0.9390    -0.4171     0.4508
## 
## Omnibus test of total effect of X on Y:
##      R2-chng          F        df1        df2          p
##       0.0374     3.7869     2.0000   195.0000     0.0244
## ----------
## 
## Relative direct effects of X on Y:
##        effect         se          t          p       LLCI       ULCI
## X1    -0.2179     0.1919    -1.1352     0.2577    -0.5964     0.1607
## X2     0.1980     0.1935     1.0232     0.3075    -0.1836     0.5796
## 
## Omnibus test of direct effect of X on Y:
##      R2-chng          F        df1        df2          p
##       0.0170     2.2536     2.0000   194.0000     0.1078
## 
## ----------
## 
## Relative indirect effects of X on Y:
## 
## human_training_1    ->    integrity    ->    comfort
## 
##        Effect     BootSE   BootLLCI   BootULCI
## X1    -0.2971     0.1128    -0.5294    -0.0837
## X2    -0.1811     0.1133    -0.4122     0.0360
## 
##    Normal theory test for relative indirect effects:
##        Effect         se          Z          p
## X1    -0.2971     0.1133    -2.6225     0.0087
## X2    -0.1811     0.1114    -1.6251     0.1041
## 
## ******************** ANALYSIS NOTES AND ERRORS ************************ 
## 
## Level of confidence for all confidence intervals in output: 95
## 
## Number of bootstraps for percentile bootstrap confidence intervals: 10000
##  
## NOTE: Some cases with missing data were deleted. The number of deleted cases was: 1
## 
## RESULT: at least one relative indirect effect's bootstrap CI includes zero -- `integrity` is NOT included in the parallel model.

autonomy

## 
## ********************* 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 : comfort         
##     X : human_training_1
##     M : autonomy        
## 
## Sample size: 198
## 
## Custom seed: 1234
## 
## Coding of categorical X variable for analysis: 
##   human_training_1         X1         X2
##             1.0000     0.0000     0.0000
##             2.0000     1.0000     0.0000
##             3.0000     0.0000     1.0000
## 
## *********************************************************************** 
## Outcome Variable: autonomy
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.2884     0.0832     0.9243     8.8455     2.0000   195.0000     0.0002
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     4.1831     0.1141    36.6623     0.0000     3.9581     4.4081
## X1           0.6528     0.1644     3.9709     0.0001     0.3286     0.9770
## X2           0.1093     0.1678     0.6509     0.5159    -0.2218     0.4403
## 
## *********************************************************************** 
## Outcome Variable: comfort
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.4558     0.2077     1.3143    16.9542     3.0000   194.0000     0.0000
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     2.4959     0.3822     6.5298     0.0000     1.7421     3.2498
## X1          -0.8749     0.2038    -4.2932     0.0000    -1.2769    -0.4730
## X2          -0.0434     0.2004    -0.2166     0.8288    -0.4386     0.3518
## autonomy     0.5515     0.0854     6.4582     0.0000     0.3831     0.7199
## 
## ************************ TOTAL EFFECT MODEL *************************** 
## Outcome Variable: comfort
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1934     0.0374     1.5886     3.7869     2.0000   195.0000     0.0244
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     4.8028     0.1496    32.1079     0.0000     4.5078     5.0978
## X1          -0.5149     0.2155    -2.3894     0.0178    -0.9400    -0.0899
## X2           0.0169     0.2200     0.0766     0.9390    -0.4171     0.4508
## 
## *********************************************************************** 
## Bootstrapping in progress. Please wait.
## 
## ************ TOTAL, DIRECT, AND INDIRECT EFFECTS OF X ON Y ************
## 
## Relative total effects of X on Y:
##        effect         se          t          p       LLCI       ULCI
## X1    -0.5149     0.2155    -2.3894     0.0178    -0.9400    -0.0899
## X2     0.0169     0.2200     0.0766     0.9390    -0.4171     0.4508
## 
## Omnibus test of total effect of X on Y:
##      R2-chng          F        df1        df2          p
##       0.0374     3.7869     2.0000   195.0000     0.0244
## ----------
## 
## Relative direct effects of X on Y:
##        effect         se          t          p       LLCI       ULCI
## X1    -0.8749     0.2038    -4.2932     0.0000    -1.2769    -0.4730
## X2    -0.0434     0.2004    -0.2166     0.8288    -0.4386     0.3518
## 
## Omnibus test of direct effect of X on Y:
##      R2-chng          F        df1        df2          p
##       0.0919    11.2497     2.0000   194.0000     0.0000
## 
## ----------
## 
## Relative indirect effects of X on Y:
## 
## human_training_1    ->    autonomy    ->    comfort
## 
##        Effect     BootSE   BootLLCI   BootULCI
## X1     0.3600     0.1218     0.1551     0.6232
## X2     0.0602     0.1013    -0.1279     0.2774
## 
##    Normal theory test for relative indirect effects:
##        Effect         se          Z          p
## X1     0.3600     0.1073     3.3536     0.0008
## X2     0.0602     0.0941     0.6401     0.5221
## 
## ******************** ANALYSIS NOTES AND ERRORS ************************ 
## 
## Level of confidence for all confidence intervals in output: 95
## 
## Number of bootstraps for percentile bootstrap confidence intervals: 10000
##  
## NOTE: Some cases with missing data were deleted. The number of deleted cases was: 1
## 
## RESULT: at least one relative indirect effect's bootstrap CI includes zero -- `autonomy` is NOT included in the parallel model.

Decision

mediator significant_indirect_effect
ability FALSE
benevolence FALSE
integrity FALSE
autonomy FALSE

No candidate mediator had both relative indirect effects’ bootstrap CIs exclude zero in the Human dataset . Per the preregistration, no parallel model is run.

Parallel Mediation

Additional Parallel Mediation: Integrity + Autonomy

Requested directly rather than arrived at via the simple-mediation screening above – neither integrity nor autonomy is the preregistered mediator for the human-training hypotheses (that’s ability; see S3-mediation-hypotheses.Rmd), so this is an exploratory follow-up specific to the Human dataset, run regardless of whether these two happened to “win” the screening above.

## 
## ********************* 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 : comfort         
##     X : human_training_1
##    M1 : integrity       
##    M2 : autonomy        
## 
## Sample size: 198
## 
## Custom seed: 1234
## 
## Coding of categorical X variable for analysis: 
##   human_training_1         X1         X2
##             1.0000     0.0000     0.0000
##             2.0000     1.0000     0.0000
##             3.0000     0.0000     1.0000
## 
## *********************************************************************** 
## Outcome Variable: integrity
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1988     0.0395     0.8878     4.0111     2.0000   195.0000     0.0196
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     4.6033     0.1118    41.1669     0.0000     4.3828     4.8238
## X1          -0.4518     0.1611    -2.8042     0.0056    -0.7695    -0.1340
## X2          -0.2754     0.1645    -1.6744     0.0957    -0.5998     0.0490
## 
## *********************************************************************** 
## Outcome Variable: autonomy
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.2884     0.0832     0.9243     8.8455     2.0000   195.0000     0.0002
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     4.1831     0.1141    36.6623     0.0000     3.9581     4.4081
## X1           0.6528     0.1644     3.9709     0.0001     0.3286     0.9770
## X2           0.1093     0.1678     0.6509     0.5159    -0.2218     0.4403
## 
## *********************************************************************** 
## Outcome Variable: comfort
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.5303     0.2812     1.1986    18.8750     4.0000   193.0000     0.0000
## 
## Model: 
##                coeff         se          t          p       LLCI       ULCI
## constant      1.5978     0.4173     3.8290     0.0002     0.7748     2.4208
## X1           -0.4105     0.2209    -1.8579     0.0647    -0.8462     0.0253
## X2            0.1376     0.1956     0.7033     0.4827    -0.2483     0.5234
## integrity     0.5167     0.1163     4.4415     0.0000     0.2873     0.7462
## autonomy      0.1976     0.1140     1.7328     0.0847    -0.0273     0.4224
## 
## ************************ TOTAL EFFECT MODEL *************************** 
## Outcome Variable: comfort
## 
## Model Summary: 
##            R       R-sq        MSE          F        df1        df2          p
##       0.1934     0.0374     1.5886     3.7869     2.0000   195.0000     0.0244
## 
## Model: 
##               coeff         se          t          p       LLCI       ULCI
## constant     4.8028     0.1496    32.1079     0.0000     4.5078     5.0978
## X1          -0.5149     0.2155    -2.3894     0.0178    -0.9400    -0.0899
## X2           0.0169     0.2200     0.0766     0.9390    -0.4171     0.4508
## 
## *********************************************************************** 
## Bootstrapping in progress. Please wait.
## 
## ************ TOTAL, DIRECT, AND INDIRECT EFFECTS OF X ON Y ************
## 
## Relative total effects of X on Y:
##        effect         se          t          p       LLCI       ULCI
## X1    -0.5149     0.2155    -2.3894     0.0178    -0.9400    -0.0899
## X2     0.0169     0.2200     0.0766     0.9390    -0.4171     0.4508
## 
## Omnibus test of total effect of X on Y:
##      R2-chng          F        df1        df2          p
##       0.0374     3.7869     2.0000   195.0000     0.0244
## ----------
## 
## Relative direct effects of X on Y:
##        effect         se          t          p       LLCI       ULCI
## X1    -0.4105     0.2209    -1.8579     0.0647    -0.8462     0.0253
## X2     0.1376     0.1956     0.7033     0.4827    -0.2483     0.5234
## 
## Omnibus test of direct effect of X on Y:
##      R2-chng          F        df1        df2          p
##       0.0261     3.5029     2.0000   193.0000     0.0320
## 
## ----------
## 
## Relative indirect effects of X on Y:
## 
## human_training_1    ->    integrity    ->    comfort
## 
##        Effect     BootSE   BootLLCI   BootULCI
## X1    -0.2334     0.1086    -0.4739    -0.0517
## X2    -0.1423     0.0983    -0.3618     0.0255
## 
##    Normal theory test for relative indirect effects:
##        Effect         se          Z          p
## X1    -0.2334     0.1002    -2.3293     0.0198
## X2    -0.1423     0.0928    -1.5331     0.1253
## 
## human_training_1    ->    autonomy    ->    comfort
## 
##        Effect     BootSE   BootLLCI   BootULCI
## X1     0.1290     0.1051    -0.0389     0.3737
## X2     0.0216     0.0474    -0.0518     0.1424
## 
##    Normal theory test for relative indirect effects:
##        Effect         se          Z          p
## X1     0.1290     0.0833     1.5475     0.1218
## X2     0.0216     0.0403     0.5361     0.5919
## 
## ******************** ANALYSIS NOTES AND ERRORS ************************ 
## 
## Level of confidence for all confidence intervals in output: 95
## 
## Number of bootstraps for percentile bootstrap confidence intervals: 10000
##  
## NOTE: Some cases with missing data were deleted. The number of deleted cases was: 1
## 
## ========================================================================
## SUMMARY: which mediator(s) survived the parallel model
## ========================================================================
## Criterion: BOTH relative indirect effects (X1 and X2) must have
## bootstrap CIs excluding zero, controlling for the other mediator(s).
## 
## None of the mediators in this parallel model survived -- every
## mediator had at least one relative indirect effect whose bootstrap
## CI included zero once the other mediators were controlled for.