## Loading required package: Matrix

Analysis 1: the effect of reputation on accept

## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: accept ~ sharing + (1 + good | MTurk_ID)
##    Data: moderator_temp
## 
##      AIC      BIC   logLik deviance df.resid 
##    978.1   1013.5   -482.0    964.1     1165 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.4471 -0.7146  0.0251  0.7648  2.3373 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev. Corr
##  MTurk_ID (Intercept) 4.575e-02 0.213883     
##           good        1.537e-05 0.003921 1.00
##  Residual             1.077e-01 0.328212     
## Number of obs: 1172, groups:  MTurk_ID, 195
## 
## Fixed effects:
##                Estimate Std. Error t value
## (Intercept)     0.65628    0.02269   28.93
## sharingFair     0.33604    0.02351   14.29
## sharingSelfish -0.30255    0.02346  -12.90
## 
## Correlation of Fixed Effects:
##             (Intr) shrngF
## sharingFair -0.517       
## sharngSlfsh -0.518  0.500
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: accept ~ sharing + good + (1 + good | MTurk_ID)
##    Data: moderator_temp
## 
##      AIC      BIC   logLik deviance df.resid 
##    979.6   1020.2   -481.8    963.6     1164 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.4286 -0.7341  0.0377  0.7710  2.3186 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev. Corr
##  MTurk_ID (Intercept) 4.575e-02 0.21389      
##           good        1.536e-05 0.00392  1.00
##  Residual             1.077e-01 0.32814      
## Number of obs: 1172, groups:  MTurk_ID, 195
## 
## Fixed effects:
##                Estimate Std. Error t value
## (Intercept)     0.65013    0.02453  26.506
## sharingFair     0.33604    0.02350  14.298
## sharingSelfish -0.30258    0.02346 -12.900
## good            0.01264    0.01918   0.659
## 
## Correlation of Fixed Effects:
##             (Intr) shrngF shrngS
## sharingFair -0.478              
## sharngSlfsh -0.478  0.500       
## good        -0.380  0.000 -0.001
## Data: moderator_temp
## Models:
## model_null: accept ~ sharing + (1 + good | MTurk_ID)
## model_good: accept ~ sharing + good + (1 + good | MTurk_ID)
##            Df    AIC    BIC  logLik deviance  Chisq Chi Df Pr(>Chisq)
## model_null  7 978.07 1013.5 -482.04   964.07                         
## model_good  8 979.64 1020.2 -481.82   963.64 0.4341      1       0.51

Analysis 2: the interaction effect of reputation and sharing on accept

## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: accept ~ sharing + good + (1 + good | MTurk_ID)
##    Data: moderator_temp
## 
##      AIC      BIC   logLik deviance df.resid 
##    979.6   1020.2   -481.8    963.6     1164 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.4286 -0.7341  0.0377  0.7710  2.3186 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev. Corr
##  MTurk_ID (Intercept) 4.575e-02 0.21389      
##           good        1.536e-05 0.00392  1.00
##  Residual             1.077e-01 0.32814      
## Number of obs: 1172, groups:  MTurk_ID, 195
## 
## Fixed effects:
##                Estimate Std. Error t value
## (Intercept)     0.65013    0.02453  26.506
## sharingFair     0.33604    0.02350  14.298
## sharingSelfish -0.30258    0.02346 -12.900
## good            0.01264    0.01918   0.659
## 
## Correlation of Fixed Effects:
##             (Intr) shrngF shrngS
## sharingFair -0.478              
## sharngSlfsh -0.478  0.500       
## good        -0.380  0.000 -0.001
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: accept ~ sharing * good + (1 + good | MTurk_ID)
##    Data: moderator_temp
## 
##      AIC      BIC   logLik deviance df.resid 
##    983.5   1034.2   -481.8    963.5     1162 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.4417 -0.7212  0.0255  0.7588  2.3147 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev. Corr
##  MTurk_ID (Intercept) 4.576e-02 0.213914     
##           good        1.515e-05 0.003892 1.00
##  Residual             1.077e-01 0.328123     
## Number of obs: 1172, groups:  MTurk_ID, 195
## 
## Fixed effects:
##                      Estimate Std. Error t value
## (Intercept)          0.647250   0.028003  23.114
## sharingFair          0.343157   0.033194  10.338
## sharingSelfish      -0.301020   0.033145  -9.082
## good                 0.018418   0.033196   0.555
## sharingFair:good    -0.014272   0.047003  -0.304
## sharingSelfish:good -0.003125   0.046910  -0.067
## 
## Correlation of Fixed Effects:
##             (Intr) shrngF shrngS good   shrnF:
## sharingFair -0.591                            
## sharngSlfsh -0.592  0.499                     
## good        -0.586  0.499  0.499              
## sharngFr:gd  0.417 -0.706 -0.353 -0.706       
## shrngSlfsh:  0.418 -0.353 -0.707 -0.708  0.500
## Data: moderator_temp
## Models:
## model_null: accept ~ sharing + good + (1 + good | MTurk_ID)
## model_good: accept ~ sharing * good + (1 + good | MTurk_ID)
##            Df    AIC    BIC  logLik deviance  Chisq Chi Df Pr(>Chisq)
## model_null  8 979.64 1020.2 -481.82   963.64                         
## model_good 10 983.54 1034.2 -481.77   963.54 0.1018      2     0.9504

Analysis 3: the interaction effect of reputation, MI, and sharing on accept

## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: 
## accept ~ sharing + good + moral_internalization_c + sharing:good +  
##     sharing:moral_internalization_c + good:moral_internalization_c +  
##     (1 + good | MTurk_ID)
##    Data: moderator_temp
## 
##      AIC      BIC   logLik deviance df.resid 
##    991.1   1062.0   -481.5    963.1     1158 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.4340 -0.7260  0.0253  0.7654  2.3247 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev. Corr
##  MTurk_ID (Intercept) 4.584e-02 0.214095     
##           good        1.351e-05 0.003676 1.00
##  Residual             1.076e-01 0.328037     
## Number of obs: 1172, groups:  MTurk_ID, 195
## 
## Fixed effects:
##                                         Estimate Std. Error t value
## (Intercept)                             0.647217   0.028005  23.111
## sharingFair                             0.343288   0.033186  10.344
## sharingSelfish                         -0.301017   0.033137  -9.084
## good                                    0.018428   0.033187   0.555
## moral_internalization_c                -0.012714   0.045227  -0.281
## sharingFair:good                       -0.014404   0.046992  -0.307
## sharingSelfish:good                    -0.003076   0.046897  -0.066
## sharingFair:moral_internalization_c    -0.002477   0.043604  -0.057
## sharingSelfish:moral_internalization_c  0.001558   0.043281   0.036
## good:moral_internalization_c            0.023573   0.035519   0.664
## 
## Correlation of Fixed Effects:
##             (Intr) shrngF shrngS good   mrl_n_ shrnF: shrnS: shF:__ shS:__
## sharingFair -0.591                                                        
## sharngSlfsh -0.592  0.499                                                 
## good        -0.586  0.499  0.499                                          
## mrl_ntrnlz_  0.005 -0.004 -0.002 -0.002                                   
## sharngFr:gd  0.417 -0.706 -0.353 -0.706  0.003                            
## shrngSlfsh:  0.418 -0.353 -0.707 -0.708  0.001  0.500                     
## shrngFr:m__ -0.002 -0.003  0.002  0.002 -0.471  0.001 -0.002              
## shrngSlf:__ -0.002  0.002  0.003  0.002 -0.479 -0.001 -0.002  0.497       
## gd:mrl_ntr_ -0.002  0.005  0.000  0.000 -0.382 -0.004  0.002 -0.011 -0.002
## Linear mixed model fit by maximum likelihood  ['lmerMod']
## Formula: accept ~ sharing * good * moral_internalization_c + (1 + good |  
##     MTurk_ID)
##    Data: moderator_temp
## 
##      AIC      BIC   logLik deviance df.resid 
##    994.6   1075.7   -481.3    962.6     1156 
## 
## Scaled residuals: 
##     Min      1Q  Median      3Q     Max 
## -3.4356 -0.7295  0.0291  0.7698  2.3139 
## 
## Random effects:
##  Groups   Name        Variance  Std.Dev. Corr
##  MTurk_ID (Intercept) 4.587e-02 0.214164     
##           good        1.313e-05 0.003624 1.00
##  Residual             1.076e-01 0.327957     
## Number of obs: 1172, groups:  MTurk_ID, 195
## 
## Fixed effects:
##                                              Estimate Std. Error t value
## (Intercept)                                  0.647191   0.028003  23.111
## sharingFair                                  0.343360   0.033178  10.349
## sharingSelfish                              -0.300950   0.033129  -9.084
## good                                         0.018437   0.033179   0.556
## moral_internalization_c                     -0.022953   0.051610  -0.445
## sharingFair:good                            -0.014474   0.046981  -0.308
## sharingSelfish:good                         -0.003166   0.046886  -0.068
## sharingFair:moral_internalization_c          0.001201   0.061967   0.019
## sharingSelfish:moral_internalization_c       0.028240   0.061132   0.462
## good:moral_internalization_c                 0.044135   0.061256   0.720
## sharingFair:good:moral_internalization_c    -0.007731   0.087195  -0.089
## sharingSelfish:good:moral_internalization_c -0.053454   0.086540  -0.618
## 
## Correlation of Fixed Effects:
##             (Intr) shrngF shrngS good   mrl_n_ shrnF: shrnS: shF:__ shS:__
## sharingFair -0.591                                                        
## sharngSlfsh -0.592  0.499                                                 
## good        -0.586  0.498  0.499                                          
## mrl_ntrnlz_  0.006 -0.003 -0.003 -0.003                                   
## sharngFr:gd  0.417 -0.706 -0.353 -0.706  0.002                            
## shrngSlfsh:  0.418 -0.353 -0.707 -0.708  0.002  0.500                     
## shrngFr:m__ -0.003 -0.004  0.002  0.002 -0.584  0.003 -0.002              
## shrngSlf:__ -0.003  0.002  0.005  0.002 -0.592 -0.002 -0.003  0.493       
## gd:mrl_ntr_ -0.003  0.002  0.002  0.001 -0.587 -0.001 -0.001  0.492  0.499
## shrngFr::__  0.002  0.003 -0.002 -0.001  0.415 -0.003  0.001 -0.711 -0.351
## shrngSl::__  0.002 -0.002 -0.003 -0.001  0.418  0.001  0.003 -0.348 -0.706
##             gd:m__ sF::__
## sharingFair              
## sharngSlfsh              
## good                     
## mrl_ntrnlz_              
## sharngFr:gd              
## shrngSlfsh:              
## shrngFr:m__              
## shrngSlf:__              
## gd:mrl_ntr_              
## shrngFr::__ -0.702       
## shrngSl::__ -0.708  0.497
## Data: moderator_temp
## Models:
## model_null: accept ~ sharing + good + moral_internalization_c + sharing:good + 
## model_null:     sharing:moral_internalization_c + good:moral_internalization_c + 
## model_null:     (1 + good | MTurk_ID)
## model_good: accept ~ sharing * good * moral_internalization_c + (1 + good | 
## model_good:     MTurk_ID)
##            Df    AIC    BIC  logLik deviance  Chisq Chi Df Pr(>Chisq)
## model_null 14 991.09 1062.0 -481.54   963.09                         
## model_good 16 994.64 1075.7 -481.32   962.64 0.4447      2     0.8006