Check data

DT::datatable(psych::describe(Sample_1_Nielsen))
DT::datatable(psych::describe(UofA_Sample))

Concatenate data

Sample_1_Nielsen$sample_group = "Nielsen"
UofA_Sample$sample_group = "UofA"

combined <- rbind(UofA_Sample, Sample_1_Nielsen)

Set up CFA model

model <-'
DISC =~ DISC1 + DISC2 + DISC3 + DISC4 + DISC5 + DISC6
JOB =~ JOB1 + JOB2 +JOB3 + JOB4 + JOB5
CARE =~ CARE1 + CARE2 + CARE3 + CARE4
RISK =~ RISK1 + RISK2 + RISK3
SOC =~ SOC1 + SOC2
EMO =~ EMO1 + EMO2 + EMO3
IND =~ IND1 + IND2
'

Set up Multi-group CFA

## configural invariance
config <- cfa(model, data = combined, group = "sample_group")

## Metric invariance
metric <- cfa(model, data = combined, group = "sample_group",
              #set factor loadings to be equal between groups
              group.equal="loadings")

## Scalar invarance
scalar <- cfa(model, data = combined, group = "sample_group",
              #set factor loadings and intercepts (means) to be equal between groups
              group.equal=c("loadings", "intercepts", "means"))

Summary of CFA results for configural, metric, and scalar invarance models

Notes: “Std.lv” standardizes to the latent factors, while the “std.all” uses all path information to determine the standardized estimates for paths

Configural model*

summary(config, standardized = TRUE, fit.measures = TRUE)
## lavaan 0.6-7 ended normally after 115 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                        192
##                                                       
##   Number of observations per group:                   
##     UofA                                          2445
##     Nielsen                                       2009
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                              2841.424
##   Degrees of freedom                               508
##   P-value (Chi-square)                           0.000
##   Test statistic for each group:
##     UofA                                      1478.213
##     Nielsen                                   1363.210
## 
## Model Test Baseline Model:
## 
##   Test statistic                             60554.335
##   Degrees of freedom                               600
##   P-value                                        0.000
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    0.961
##   Tucker-Lewis Index (TLI)                       0.954
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)            -149205.136
##   Loglikelihood unrestricted model (H1)             NA
##                                                       
##   Akaike (AIC)                              298794.273
##   Bayesian (BIC)                            300023.372
##   Sample-size adjusted Bayesian (BIC)       299413.271
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.045
##   90 Percent confidence interval - lower         0.044
##   90 Percent confidence interval - upper         0.047
##   P-value RMSEA <= 0.05                          1.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.038
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Expected
##   Information saturated (h1) model          Structured
## 
## 
## Group 1 [UofA]:
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   DISC =~                                                               
##     DISC1             1.000                               0.831    0.811
##     DISC2             1.022    0.022   45.557    0.000    0.849    0.804
##     DISC3             1.036    0.022   46.854    0.000    0.861    0.820
##     DISC4             1.085    0.022   48.923    0.000    0.901    0.845
##     DISC5             1.129    0.022   52.464    0.000    0.938    0.887
##     DISC6             0.959    0.023   41.211    0.000    0.797    0.747
##   JOB =~                                                                
##     JOB1              1.000                               1.180    0.872
##     JOB2              1.038    0.019   55.804    0.000    1.225    0.852
##     JOB3              0.946    0.016   59.152    0.000    1.116    0.880
##     JOB4              0.913    0.016   58.744    0.000    1.078    0.877
##     JOB5              2.766    0.091   30.358    0.000    3.265    0.566
##   CARE =~                                                               
##     CARE1             1.000                               0.985    0.957
##     CARE2             0.997    0.009  111.654    0.000    0.981    0.964
##     CARE3             0.976    0.011   90.359    0.000    0.961    0.918
##     CARE4             2.674    0.110   24.364    0.000    2.633    0.452
##   RISK =~                                                               
##     RISK1             1.000                               0.811    0.820
##     RISK2             1.029    0.031   33.218    0.000    0.835    0.747
##     RISK3             0.980    0.030   33.021    0.000    0.796    0.739
##   SOC =~                                                                
##     SOC1              1.000                               1.013    0.829
##     SOC2              0.889    0.086   10.283    0.000    0.900    0.705
##   EMO =~                                                                
##     EMO1              1.000                               0.604    0.597
##     EMO2              1.333    0.069   19.454    0.000    0.805    0.851
##     EMO3              0.859    0.047   18.106    0.000    0.519    0.460
##   IND =~                                                                
##     IND1              1.000                               0.760    0.926
##     IND2              0.695    0.115    6.054    0.000    0.528    0.625
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   DISC ~~                                                               
##     JOB               0.330    0.023   14.260    0.000    0.336    0.336
##     CARE              0.260    0.019   13.966    0.000    0.318    0.318
##     RISK              0.129    0.016    8.046    0.000    0.192    0.192
##     SOC               0.004    0.020    0.205    0.838    0.005    0.005
##     EMO               0.154    0.014   10.974    0.000    0.307    0.307
##     IND              -0.016    0.014   -1.145    0.252   -0.026   -0.026
##   JOB ~~                                                                
##     CARE              0.218    0.025    8.618    0.000    0.188    0.188
##     RISK              0.217    0.023    9.451    0.000    0.227    0.227
##     SOC               0.088    0.029    3.049    0.002    0.074    0.074
##     EMO               0.191    0.019    9.934    0.000    0.268    0.268
##     IND               0.032    0.020    1.582    0.114    0.036    0.036
##   CARE ~~                                                               
##     RISK              0.134    0.018    7.278    0.000    0.168    0.168
##     SOC               0.085    0.024    3.576    0.000    0.085    0.085
##     EMO               0.125    0.015    8.302    0.000    0.210    0.210
##     IND               0.013    0.017    0.786    0.432    0.017    0.017
##   RISK ~~                                                               
##     SOC               0.172    0.022    7.769    0.000    0.209    0.209
##     EMO               0.119    0.014    8.721    0.000    0.244    0.244
##     IND               0.101    0.015    6.681    0.000    0.163    0.163
##   SOC ~~                                                                
##     EMO               0.122    0.017    6.998    0.000    0.200    0.200
##     IND               0.002    0.019    0.093    0.926    0.002    0.002
##   EMO ~~                                                                
##     IND               0.000    0.011    0.009    0.993    0.000    0.000
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .DISC1             1.923    0.021   92.760    0.000    1.923    1.876
##    .DISC2             1.780    0.021   83.271    0.000    1.780    1.684
##    .DISC3             1.719    0.021   80.977    0.000    1.719    1.638
##    .DISC4             1.680    0.022   77.890    0.000    1.680    1.575
##    .DISC5             1.854    0.021   86.649    0.000    1.854    1.752
##    .DISC6             1.663    0.022   77.080    0.000    1.663    1.559
##    .JOB1              2.315    0.027   84.548    0.000    2.315    1.710
##    .JOB2              2.445    0.029   84.107    0.000    2.445    1.701
##    .JOB3              2.120    0.026   82.623    0.000    2.120    1.671
##    .JOB4              2.045    0.025   82.239    0.000    2.045    1.663
##    .JOB5              5.818    0.117   49.883    0.000    5.818    1.009
##    .CARE1             1.508    0.021   72.468    0.000    1.508    1.466
##    .CARE2             1.506    0.021   73.205    0.000    1.506    1.480
##    .CARE3             1.506    0.021   71.128    0.000    1.506    1.438
##    .CARE4             3.452    0.118   29.334    0.000    3.452    0.593
##    .RISK1             2.670    0.020  133.316    0.000    2.670    2.696
##    .RISK2             2.609    0.023  115.410    0.000    2.609    2.334
##    .RISK3             2.881    0.022  132.346    0.000    2.881    2.677
##    .SOC1              3.380    0.025  136.625    0.000    3.380    2.763
##    .SOC2              2.975    0.026  115.250    0.000    2.975    2.331
##    .EMO1              2.883    0.020  140.894    0.000    2.883    2.849
##    .EMO2              2.451    0.019  128.080    0.000    2.451    2.590
##    .EMO3              2.652    0.023  116.366    0.000    2.652    2.353
##    .IND1              4.061    0.017  244.589    0.000    4.061    4.946
##    .IND2              4.207    0.017  246.214    0.000    4.207    4.979
##     DISC              0.000                               0.000    0.000
##     JOB               0.000                               0.000    0.000
##     CARE              0.000                               0.000    0.000
##     RISK              0.000                               0.000    0.000
##     SOC               0.000                               0.000    0.000
##     EMO               0.000                               0.000    0.000
##     IND               0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .DISC1             0.360    0.012   29.915    0.000    0.360    0.343
##    .DISC2             0.395    0.013   30.159    0.000    0.395    0.354
##    .DISC3             0.361    0.012   29.550    0.000    0.361    0.327
##    .DISC4             0.325    0.011   28.342    0.000    0.325    0.285
##    .DISC5             0.238    0.009   25.166    0.000    0.238    0.213
##    .DISC6             0.503    0.016   31.663    0.000    0.503    0.442
##    .JOB1              0.440    0.017   26.249    0.000    0.440    0.240
##    .JOB2              0.565    0.020   27.695    0.000    0.565    0.273
##    .JOB3              0.364    0.014   25.524    0.000    0.364    0.226
##    .JOB4              0.350    0.014   25.834    0.000    0.350    0.232
##    .JOB5             22.603    0.671   33.710    0.000   22.603    0.680
##    .CARE1             0.089    0.005   19.709    0.000    0.089    0.084
##    .CARE2             0.073    0.004   17.139    0.000    0.073    0.070
##    .CARE3             0.173    0.006   28.260    0.000    0.173    0.158
##    .CARE4            26.924    0.777   34.662    0.000   26.924    0.795
##    .RISK1             0.322    0.018   18.224    0.000    0.322    0.328
##    .RISK2             0.552    0.023   24.370    0.000    0.552    0.442
##    .RISK3             0.526    0.021   24.947    0.000    0.526    0.454
##    .SOC1              0.469    0.099    4.757    0.000    0.469    0.313
##    .SOC2              0.818    0.081   10.156    0.000    0.818    0.502
##    .EMO1              0.659    0.025   26.181    0.000    0.659    0.644
##    .EMO2              0.247    0.029    8.387    0.000    0.247    0.276
##    .EMO3              1.001    0.032   31.559    0.000    1.001    0.788
##    .IND1              0.096    0.094    1.016    0.310    0.096    0.142
##    .IND2              0.435    0.047    9.195    0.000    0.435    0.609
##     DISC              0.690    0.029   23.888    0.000    1.000    1.000
##     JOB               1.393    0.052   26.753    0.000    1.000    1.000
##     CARE              0.969    0.030   31.901    0.000    1.000    1.000
##     RISK              0.658    0.030   21.605    0.000    1.000    1.000
##     SOC               1.027    0.106    9.708    0.000    1.000    1.000
##     EMO               0.365    0.028   13.056    0.000    1.000    1.000
##     IND               0.578    0.096    6.000    0.000    1.000    1.000
## 
## 
## Group 2 [Nielsen]:
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   DISC =~                                                               
##     DISC1             1.000                               0.807    0.850
##     DISC2             0.813    0.023   35.440    0.000    0.656    0.707
##     DISC3             0.878    0.022   40.403    0.000    0.708    0.776
##     DISC4             0.841    0.023   36.824    0.000    0.679    0.727
##     DISC5             1.008    0.022   45.823    0.000    0.814    0.846
##     DISC6             0.751    0.024   31.538    0.000    0.607    0.648
##   JOB =~                                                                
##     JOB1              1.000                               1.173    0.864
##     JOB2              0.972    0.022   43.758    0.000    1.141    0.821
##     JOB3              0.808    0.019   41.618    0.000    0.948    0.792
##     JOB4              0.776    0.019   40.330    0.000    0.910    0.775
##     JOB5              1.486    0.062   24.001    0.000    1.743    0.520
##   CARE =~                                                               
##     CARE1             1.000                               1.015    0.953
##     CARE2             0.968    0.011   86.085    0.000    0.982    0.941
##     CARE3             1.082    0.014   76.331    0.000    1.098    0.910
##     CARE4             1.743    0.049   35.438    0.000    1.768    0.643
##   RISK =~                                                               
##     RISK1             1.000                               0.787    0.837
##     RISK2             0.952    0.040   24.054    0.000    0.749    0.672
##     RISK3             0.914    0.039   23.646    0.000    0.719    0.649
##   SOC =~                                                                
##     SOC1              1.000                               1.065    0.896
##     SOC2              0.696    0.067   10.369    0.000    0.741    0.610
##   EMO =~                                                                
##     EMO1              1.000                               0.485    0.513
##     EMO2              1.401    0.087   16.172    0.000    0.680    0.745
##     EMO3              1.406    0.087   16.142    0.000    0.682    0.593
##   IND =~                                                                
##     IND1              1.000                               0.697    0.758
##     IND2              1.070    0.093   11.508    0.000    0.746    0.793
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   DISC ~~                                                               
##     JOB               0.089    0.024    3.787    0.000    0.094    0.094
##     CARE              0.107    0.020    5.376    0.000    0.130    0.130
##     RISK              0.031    0.017    1.880    0.060    0.050    0.050
##     SOC               0.012    0.022    0.529    0.597    0.014    0.014
##     EMO               0.082    0.012    6.827    0.000    0.208    0.208
##     IND               0.017    0.015    1.146    0.252    0.031    0.031
##   JOB ~~                                                                
##     CARE              0.124    0.029    4.314    0.000    0.105    0.105
##     RISK              0.202    0.025    8.061    0.000    0.219    0.219
##     SOC               0.028    0.032    0.851    0.395    0.022    0.022
##     EMO               0.074    0.017    4.436    0.000    0.130    0.130
##     IND               0.123    0.023    5.318    0.000    0.151    0.151
##   CARE ~~                                                               
##     RISK              0.034    0.020    1.675    0.094    0.043    0.043
##     SOC               0.094    0.027    3.457    0.001    0.087    0.087
##     EMO               0.066    0.014    4.733    0.000    0.135    0.135
##     IND               0.050    0.019    2.688    0.007    0.071    0.071
##   RISK ~~                                                               
##     SOC               0.104    0.023    4.445    0.000    0.124    0.124
##     EMO               0.092    0.013    7.283    0.000    0.240    0.240
##     IND               0.140    0.018    7.975    0.000    0.256    0.256
##   SOC ~~                                                                
##     EMO               0.190    0.018   10.346    0.000    0.368    0.368
##     IND              -0.049    0.021   -2.294    0.022   -0.065   -0.065
##   EMO ~~                                                                
##     IND              -0.033    0.011   -3.097    0.002   -0.099   -0.099
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .DISC1             1.967    0.021   92.849    0.000    1.967    2.072
##    .DISC2             1.591    0.021   76.847    0.000    1.591    1.714
##    .DISC3             1.636    0.020   80.362    0.000    1.636    1.793
##    .DISC4             1.528    0.021   73.331    0.000    1.528    1.636
##    .DISC5             1.897    0.021   88.421    0.000    1.897    1.973
##    .DISC6             1.577    0.021   75.506    0.000    1.577    1.685
##    .JOB1              2.791    0.030   92.100    0.000    2.791    2.055
##    .JOB2              2.837    0.031   91.510    0.000    2.837    2.042
##    .JOB3              2.296    0.027   86.036    0.000    2.296    1.920
##    .JOB4              2.180    0.026   83.240    0.000    2.180    1.857
##    .JOB5              6.732    0.075   89.993    0.000    6.732    2.008
##    .CARE1             1.595    0.024   67.127    0.000    1.595    1.498
##    .CARE2             1.577    0.023   67.745    0.000    1.577    1.511
##    .CARE3             1.670    0.027   62.021    0.000    1.670    1.384
##    .CARE4             1.666    0.061   27.168    0.000    1.666    0.606
##    .RISK1             2.742    0.021  130.780    0.000    2.742    2.918
##    .RISK2             2.642    0.025  106.209    0.000    2.642    2.370
##    .RISK3             3.046    0.025  123.126    0.000    3.046    2.747
##    .SOC1              3.562    0.027  134.315    0.000    3.562    2.997
##    .SOC2              2.959    0.027  109.259    0.000    2.959    2.438
##    .EMO1              3.232    0.021  152.961    0.000    3.232    3.413
##    .EMO2              2.600    0.020  127.603    0.000    2.600    2.847
##    .EMO3              2.636    0.026  102.704    0.000    2.636    2.291
##    .IND1              4.053    0.020  197.770    0.000    4.053    4.412
##    .IND2              3.810    0.021  181.709    0.000    3.810    4.054
##     DISC              0.000                               0.000    0.000
##     JOB               0.000                               0.000    0.000
##     CARE              0.000                               0.000    0.000
##     RISK              0.000                               0.000    0.000
##     SOC               0.000                               0.000    0.000
##     EMO               0.000                               0.000    0.000
##     IND               0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .DISC1             0.250    0.011   22.729    0.000    0.250    0.277
##    .DISC2             0.430    0.015   28.315    0.000    0.430    0.500
##    .DISC3             0.331    0.012   26.535    0.000    0.331    0.397
##    .DISC4             0.411    0.015   27.898    0.000    0.411    0.471
##    .DISC5             0.263    0.011   23.031    0.000    0.263    0.284
##    .DISC6             0.508    0.017   29.262    0.000    0.508    0.580
##    .JOB1              0.469    0.023   20.426    0.000    0.469    0.254
##    .JOB2              0.629    0.027   23.718    0.000    0.629    0.326
##    .JOB3              0.532    0.021   25.238    0.000    0.532    0.372
##    .JOB4              0.550    0.021   25.957    0.000    0.550    0.399
##    .JOB5              8.203    0.271   30.323    0.000    8.203    0.730
##    .CARE1             0.104    0.006   16.674    0.000    0.104    0.092
##    .CARE2             0.124    0.006   19.510    0.000    0.124    0.114
##    .CARE3             0.251    0.010   24.596    0.000    0.251    0.172
##    .CARE4             4.427    0.144   30.720    0.000    4.427    0.586
##    .RISK1             0.264    0.022   11.822    0.000    0.264    0.299
##    .RISK2             0.683    0.029   23.562    0.000    0.683    0.549
##    .RISK3             0.712    0.029   24.707    0.000    0.712    0.579
##    .SOC1              0.279    0.105    2.647    0.008    0.279    0.197
##    .SOC2              0.925    0.059   15.804    0.000    0.925    0.628
##    .EMO1              0.661    0.025   26.512    0.000    0.661    0.737
##    .EMO2              0.371    0.026   14.137    0.000    0.371    0.445
##    .EMO3              0.858    0.037   23.289    0.000    0.858    0.648
##    .IND1              0.359    0.042    8.451    0.000    0.359    0.425
##    .IND2              0.328    0.048    6.827    0.000    0.328    0.371
##     DISC              0.652    0.028   22.961    0.000    1.000    1.000
##     JOB               1.376    0.059   23.327    0.000    1.000    1.000
##     CARE              1.030    0.036   28.587    0.000    1.000    1.000
##     RISK              0.619    0.034   18.354    0.000    1.000    1.000
##     SOC               1.134    0.114    9.985    0.000    1.000    1.000
##     EMO               0.236    0.024   10.027    0.000    1.000    1.000
##     IND               0.485    0.047   10.220    0.000    1.000    1.000

Metric model

summary(metric, standardized = TRUE, fit.measures = TRUE)
## lavaan 0.6-7 ended normally after 78 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                        192
##   Number of equality constraints                    18
##                                                       
##   Number of observations per group:                   
##     UofA                                          2445
##     Nielsen                                       2009
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                              3241.884
##   Degrees of freedom                               526
##   P-value (Chi-square)                           0.000
##   Test statistic for each group:
##     UofA                                      1683.535
##     Nielsen                                   1558.349
## 
## Model Test Baseline Model:
## 
##   Test statistic                             60554.335
##   Degrees of freedom                               600
##   P-value                                        0.000
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    0.955
##   Tucker-Lewis Index (TLI)                       0.948
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)            -149405.366
##   Loglikelihood unrestricted model (H1)             NA
##                                                       
##   Akaike (AIC)                              299158.733
##   Bayesian (BIC)                            300272.604
##   Sample-size adjusted Bayesian (BIC)       299719.701
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.048
##   90 Percent confidence interval - lower         0.047
##   90 Percent confidence interval - upper         0.050
##   P-value RMSEA <= 0.05                          0.972
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.046
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Expected
##   Information saturated (h1) model          Structured
## 
## 
## Group 1 [UofA]:
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   DISC =~                                                               
##     DISC1             1.000                               0.883    0.829
##     DISC2   (.p2.)    0.937    0.016   58.359    0.000    0.828    0.795
##     DISC3   (.p3.)    0.969    0.016   61.957    0.000    0.856    0.818
##     DISC4   (.p4.)    0.989    0.016   62.300    0.000    0.873    0.835
##     DISC5   (.p5.)    1.073    0.015   69.543    0.000    0.948    0.890
##     DISC6   (.p6.)    0.873    0.017   52.337    0.000    0.771    0.735
##   JOB =~                                                                
##     JOB1              1.000                               1.225    0.883
##     JOB2    (.p8.)    1.016    0.014   70.553    0.000    1.244    0.858
##     JOB3    (.p9.)    0.901    0.012   72.595    0.000    1.104    0.876
##     JOB4    (.10.)    0.869    0.012   71.550    0.000    1.064    0.871
##     JOB5    (.11.)    1.978    0.054   36.670    0.000    2.422    0.446
##   CARE =~                                                               
##     CARE1             1.000                               0.983    0.957
##     CARE2   (.13.)    0.987    0.007  140.887    0.000    0.970    0.962
##     CARE3   (.14.)    1.014    0.009  117.450    0.000    0.996    0.924
##     CARE4   (.15.)    1.885    0.045   42.216    0.000    1.853    0.333
##   RISK =~                                                               
##     RISK1             1.000                               0.823    0.827
##     RISK2   (.17.)    1.002    0.024   41.078    0.000    0.825    0.741
##     RISK3   (.18.)    0.957    0.024   40.682    0.000    0.788    0.734
##   SOC =~                                                                
##     SOC1              1.000                               1.096    0.895
##     SOC2    (.20.)    0.758    0.053   14.359    0.000    0.830    0.651
##   EMO =~                                                                
##     EMO1              1.000                               0.579    0.580
##     EMO2    (.22.)    1.348    0.053   25.555    0.000    0.780    0.828
##     EMO3    (.23.)    1.042    0.042   24.713    0.000    0.603    0.521
##   IND =~                                                                
##     IND1              1.000                               0.642    0.783
##     IND2    (.25.)    0.976    0.073   13.370    0.000    0.627    0.740
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   DISC ~~                                                               
##     JOB               0.361    0.025   14.386    0.000    0.334    0.334
##     CARE              0.276    0.020   14.101    0.000    0.318    0.318
##     RISK              0.139    0.017    8.057    0.000    0.191    0.191
##     SOC              -0.012    0.022   -0.521    0.603   -0.012   -0.012
##     EMO               0.157    0.014   11.447    0.000    0.307    0.307
##     IND              -0.022    0.014   -1.567    0.117   -0.038   -0.038
##   JOB ~~                                                                
##     CARE              0.224    0.026    8.568    0.000    0.186    0.186
##     RISK              0.227    0.024    9.434    0.000    0.225    0.225
##     SOC               0.079    0.031    2.538    0.011    0.059    0.059
##     EMO               0.189    0.019   10.186    0.000    0.266    0.266
##     IND               0.033    0.019    1.728    0.084    0.042    0.042
##   CARE ~~                                                               
##     RISK              0.136    0.019    7.304    0.000    0.168    0.168
##     SOC               0.086    0.024    3.518    0.000    0.080    0.080
##     EMO               0.121    0.014    8.535    0.000    0.213    0.213
##     IND               0.003    0.015    0.193    0.847    0.005    0.005
##   RISK ~~                                                               
##     SOC               0.169    0.023    7.504    0.000    0.188    0.188
##     EMO               0.122    0.013    9.294    0.000    0.256    0.256
##     IND               0.087    0.014    6.149    0.000    0.165    0.165
##   SOC ~~                                                                
##     EMO               0.131    0.017    7.684    0.000    0.206    0.206
##     IND               0.006    0.018    0.347    0.728    0.009    0.009
##   EMO ~~                                                                
##     IND               0.008    0.010    0.767    0.443    0.021    0.021
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .DISC1             1.923    0.022   89.283    0.000    1.923    1.806
##    .DISC2             1.780    0.021   84.557    0.000    1.780    1.710
##    .DISC3             1.719    0.021   81.191    0.000    1.719    1.642
##    .DISC4             1.680    0.021   79.374    0.000    1.680    1.605
##    .DISC5             1.854    0.022   86.089    0.000    1.854    1.741
##    .DISC6             1.663    0.021   78.320    0.000    1.663    1.584
##    .JOB1              2.315    0.028   82.519    0.000    2.315    1.669
##    .JOB2              2.445    0.029   83.398    0.000    2.445    1.687
##    .JOB3              2.120    0.025   83.156    0.000    2.120    1.682
##    .JOB4              2.045    0.025   82.856    0.000    2.045    1.676
##    .JOB5              5.818    0.110   52.990    0.000    5.818    1.072
##    .CARE1             1.508    0.021   72.588    0.000    1.508    1.468
##    .CARE2             1.506    0.020   73.890    0.000    1.506    1.494
##    .CARE3             1.506    0.022   69.040    0.000    1.506    1.396
##    .CARE4             3.452    0.113   30.622    0.000    3.452    0.619
##    .RISK1             2.670    0.020  132.642    0.000    2.670    2.683
##    .RISK2             2.609    0.023  115.911    0.000    2.609    2.344
##    .RISK3             2.881    0.022  132.734    0.000    2.881    2.684
##    .SOC1              3.380    0.025  136.548    0.000    3.380    2.762
##    .SOC2              2.975    0.026  115.438    0.000    2.975    2.335
##    .EMO1              2.883    0.020  142.798    0.000    2.883    2.888
##    .EMO2              2.451    0.019  128.663    0.000    2.451    2.602
##    .EMO3              2.652    0.023  113.357    0.000    2.652    2.292
##    .IND1              4.061    0.017  245.046    0.000    4.061    4.956
##    .IND2              4.207    0.017  245.676    0.000    4.207    4.968
##     DISC              0.000                               0.000    0.000
##     JOB               0.000                               0.000    0.000
##     CARE              0.000                               0.000    0.000
##     RISK              0.000                               0.000    0.000
##     SOC               0.000                               0.000    0.000
##     EMO               0.000                               0.000    0.000
##     IND               0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .DISC1             0.354    0.012   29.295    0.000    0.354    0.312
##    .DISC2             0.398    0.013   30.539    0.000    0.398    0.367
##    .DISC3             0.363    0.012   29.774    0.000    0.363    0.331
##    .DISC4             0.332    0.011   29.023    0.000    0.332    0.303
##    .DISC5             0.235    0.009   25.049    0.000    0.235    0.207
##    .DISC6             0.508    0.016   31.973    0.000    0.508    0.460
##    .JOB1              0.425    0.017   25.431    0.000    0.425    0.221
##    .JOB2              0.555    0.020   27.483    0.000    0.555    0.264
##    .JOB3              0.371    0.014   26.100    0.000    0.371    0.233
##    .JOB4              0.358    0.014   26.443    0.000    0.358    0.241
##    .JOB5             23.611    0.688   34.333    0.000   23.611    0.801
##    .CARE1             0.088    0.004   20.043    0.000    0.088    0.083
##    .CARE2             0.075    0.004   18.352    0.000    0.075    0.074
##    .CARE3             0.171    0.006   27.660    0.000    0.171    0.147
##    .CARE4            27.631    0.794   34.821    0.000   27.631    0.889
##    .RISK1             0.312    0.017   18.375    0.000    0.312    0.315
##    .RISK2             0.559    0.022   25.492    0.000    0.559    0.451
##    .RISK3             0.531    0.021   25.913    0.000    0.531    0.461
##    .SOC1              0.297    0.086    3.465    0.001    0.297    0.198
##    .SOC2              0.935    0.056   16.764    0.000    0.935    0.576
##    .EMO1              0.662    0.023   28.526    0.000    0.662    0.664
##    .EMO2              0.278    0.024   11.696    0.000    0.278    0.314
##    .EMO3              0.974    0.032   30.560    0.000    0.974    0.728
##    .IND1              0.260    0.033    7.876    0.000    0.260    0.387
##    .IND2              0.324    0.032   10.141    0.000    0.324    0.452
##     DISC              0.780    0.029   27.093    0.000    1.000    1.000
##     JOB               1.499    0.052   28.691    0.000    1.000    1.000
##     CARE              0.967    0.030   32.613    0.000    1.000    1.000
##     RISK              0.678    0.029   23.553    0.000    1.000    1.000
##     SOC               1.201    0.093   12.856    0.000    1.000    1.000
##     EMO               0.335    0.022   15.217    0.000    1.000    1.000
##     IND               0.412    0.035   11.802    0.000    1.000    1.000
## 
## 
## Group 2 [Nielsen]:
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   DISC =~                                                               
##     DISC1             1.000                               0.740    0.816
##     DISC2   (.p2.)    0.937    0.016   58.359    0.000    0.694    0.729
##     DISC3   (.p3.)    0.969    0.016   61.957    0.000    0.717    0.783
##     DISC4   (.p4.)    0.989    0.016   62.300    0.000    0.732    0.757
##     DISC5   (.p5.)    1.073    0.015   69.543    0.000    0.794    0.835
##     DISC6   (.p6.)    0.873    0.017   52.337    0.000    0.646    0.674
##   JOB =~                                                                
##     JOB1              1.000                               1.087    0.832
##     JOB2    (.p8.)    1.016    0.014   70.553    0.000    1.104    0.806
##     JOB3    (.p9.)    0.901    0.012   72.595    0.000    0.980    0.810
##     JOB4    (.10.)    0.869    0.012   71.550    0.000    0.945    0.793
##     JOB5    (.11.)    1.978    0.054   36.670    0.000    2.151    0.600
##   CARE =~                                                               
##     CARE1             1.000                               1.017    0.953
##     CARE2   (.13.)    0.987    0.007  140.887    0.000    1.003    0.945
##     CARE3   (.14.)    1.014    0.009  117.450    0.000    1.031    0.894
##     CARE4   (.15.)    1.885    0.045   42.216    0.000    1.917    0.674
##   RISK =~                                                               
##     RISK1             1.000                               0.767    0.821
##     RISK2   (.17.)    1.002    0.024   41.078    0.000    0.768    0.685
##     RISK3   (.18.)    0.957    0.024   40.682    0.000    0.734    0.659
##   SOC =~                                                                
##     SOC1              1.000                               1.022    0.861
##     SOC2    (.20.)    0.758    0.053   14.359    0.000    0.775    0.637
##   EMO =~                                                                
##     EMO1              1.000                               0.531    0.551
##     EMO2    (.22.)    1.348    0.053   25.555    0.000    0.715    0.778
##     EMO3    (.23.)    1.042    0.042   24.713    0.000    0.553    0.496
##   IND =~                                                                
##     IND1              1.000                               0.729    0.792
##     IND2    (.25.)    0.976    0.073   13.370    0.000    0.712    0.759
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   DISC ~~                                                               
##     JOB               0.081    0.020    4.003    0.000    0.100    0.100
##     CARE              0.101    0.018    5.516    0.000    0.134    0.134
##     RISK              0.030    0.015    1.976    0.048    0.052    0.052
##     SOC               0.010    0.020    0.512    0.609    0.014    0.014
##     EMO               0.086    0.012    7.424    0.000    0.218    0.218
##     IND               0.016    0.015    1.119    0.263    0.030    0.030
##   JOB ~~                                                                
##     CARE              0.113    0.027    4.221    0.000    0.102    0.102
##     RISK              0.185    0.023    8.135    0.000    0.221    0.221
##     SOC               0.022    0.030    0.739    0.460    0.020    0.020
##     EMO               0.073    0.017    4.429    0.000    0.127    0.127
##     IND               0.121    0.022    5.471    0.000    0.153    0.153
##   CARE ~~                                                               
##     RISK              0.034    0.020    1.679    0.093    0.043    0.043
##     SOC               0.096    0.027    3.564    0.000    0.092    0.092
##     EMO               0.071    0.015    4.750    0.000    0.132    0.132
##     IND               0.050    0.020    2.542    0.011    0.067    0.067
##   RISK ~~                                                               
##     SOC               0.103    0.022    4.565    0.000    0.131    0.131
##     EMO               0.091    0.013    7.143    0.000    0.223    0.223
##     IND               0.143    0.017    8.285    0.000    0.255    0.255
##   SOC ~~                                                                
##     EMO               0.195    0.018   10.764    0.000    0.359    0.359
##     IND              -0.055    0.022   -2.540    0.011   -0.074   -0.074
##   EMO ~~                                                                
##     IND              -0.039    0.012   -3.257    0.001   -0.102   -0.102
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .DISC1             1.967    0.020   97.197    0.000    1.967    2.169
##    .DISC2             1.591    0.021   74.967    0.000    1.591    1.673
##    .DISC3             1.636    0.020   80.060    0.000    1.636    1.786
##    .DISC4             1.528    0.022   70.876    0.000    1.528    1.581
##    .DISC5             1.897    0.021   89.427    0.000    1.897    1.995
##    .DISC6             1.577    0.021   73.719    0.000    1.577    1.645
##    .JOB1              2.791    0.029   95.734    0.000    2.791    2.136
##    .JOB2              2.837    0.031   92.745    0.000    2.837    2.069
##    .JOB3              2.296    0.027   85.032    0.000    2.296    1.897
##    .JOB4              2.180    0.027   82.055    0.000    2.180    1.831
##    .JOB5              6.732    0.080   84.185    0.000    6.732    1.878
##    .CARE1             1.595    0.024   66.978    0.000    1.595    1.494
##    .CARE2             1.577    0.024   66.628    0.000    1.577    1.487
##    .CARE3             1.670    0.026   64.933    0.000    1.670    1.449
##    .CARE4             1.666    0.063   26.241    0.000    1.666    0.585
##    .RISK1             2.742    0.021  131.606    0.000    2.742    2.936
##    .RISK2             2.642    0.025  105.545    0.000    2.642    2.355
##    .RISK3             3.046    0.025  122.586    0.000    3.046    2.735
##    .SOC1              3.562    0.026  134.434    0.000    3.562    2.999
##    .SOC2              2.959    0.027  109.035    0.000    2.959    2.433
##    .EMO1              3.232    0.022  150.278    0.000    3.232    3.353
##    .EMO2              2.600    0.021  126.707    0.000    2.600    2.827
##    .EMO3              2.636    0.025  105.957    0.000    2.636    2.364
##    .IND1              4.053    0.021  197.336    0.000    4.053    4.403
##    .IND2              3.810    0.021  182.161    0.000    3.810    4.064
##     DISC              0.000                               0.000    0.000
##     JOB               0.000                               0.000    0.000
##     CARE              0.000                               0.000    0.000
##     RISK              0.000                               0.000    0.000
##     SOC               0.000                               0.000    0.000
##     EMO               0.000                               0.000    0.000
##     IND               0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .DISC1             0.275    0.011   25.125    0.000    0.275    0.334
##    .DISC2             0.424    0.015   28.005    0.000    0.424    0.468
##    .DISC3             0.324    0.012   26.496    0.000    0.324    0.387
##    .DISC4             0.398    0.015   27.324    0.000    0.398    0.427
##    .DISC5             0.273    0.011   24.127    0.000    0.273    0.302
##    .DISC6             0.501    0.017   28.992    0.000    0.501    0.545
##    .JOB1              0.526    0.022   23.489    0.000    0.526    0.308
##    .JOB2              0.660    0.026   24.965    0.000    0.660    0.351
##    .JOB3              0.504    0.020   24.768    0.000    0.504    0.344
##    .JOB4              0.526    0.021   25.554    0.000    0.526    0.371
##    .JOB5              8.222    0.278   29.620    0.000    8.222    0.640
##    .CARE1             0.105    0.006   16.908    0.000    0.105    0.092
##    .CARE2             0.119    0.006   18.769    0.000    0.119    0.106
##    .CARE3             0.266    0.010   26.057    0.000    0.266    0.200
##    .CARE4             4.422    0.145   30.551    0.000    4.422    0.546
##    .RISK1             0.284    0.018   15.513    0.000    0.284    0.325
##    .RISK2             0.669    0.027   24.543    0.000    0.669    0.531
##    .RISK3             0.702    0.027   25.621    0.000    0.702    0.566
##    .SOC1              0.365    0.075    4.897    0.000    0.365    0.259
##    .SOC2              0.880    0.051   17.402    0.000    0.880    0.595
##    .EMO1              0.647    0.025   26.402    0.000    0.647    0.697
##    .EMO2              0.334    0.024   13.666    0.000    0.334    0.395
##    .EMO3              0.938    0.034   27.903    0.000    0.938    0.754
##    .IND1              0.316    0.041    7.789    0.000    0.316    0.373
##    .IND2              0.372    0.039    9.479    0.000    0.372    0.424
##     DISC              0.548    0.022   25.041    0.000    1.000    1.000
##     JOB               1.182    0.046   25.625    0.000    1.000    1.000
##     CARE              1.034    0.035   29.608    0.000    1.000    1.000
##     RISK              0.588    0.027   21.528    0.000    1.000    1.000
##     SOC               1.045    0.083   12.532    0.000    1.000    1.000
##     EMO               0.282    0.020   14.232    0.000    1.000    1.000
##     IND               0.531    0.046   11.652    0.000    1.000    1.000

Scalar model

summary(scalar, standardized = TRUE, fit.measures = TRUE)
## lavaan 0.6-7 ended normally after 118 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                        192
##   Number of equality constraints                    43
##                                                       
##   Number of observations per group:                   
##     UofA                                          2445
##     Nielsen                                       2009
##                                                       
## Model Test User Model:
##                                                       
##   Test statistic                              4462.604
##   Degrees of freedom                               551
##   P-value (Chi-square)                           0.000
##   Test statistic for each group:
##     UofA                                      2313.140
##     Nielsen                                   2149.464
## 
## Model Test Baseline Model:
## 
##   Test statistic                             60554.335
##   Degrees of freedom                               600
##   P-value                                        0.000
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    0.935
##   Tucker-Lewis Index (TLI)                       0.929
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)            -150015.726
##   Loglikelihood unrestricted model (H1)             NA
##                                                       
##   Akaike (AIC)                              300329.453
##   Bayesian (BIC)                            301283.285
##   Sample-size adjusted Bayesian (BIC)       300809.822
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.056
##   90 Percent confidence interval - lower         0.055
##   90 Percent confidence interval - upper         0.058
##   P-value RMSEA <= 0.05                          0.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.053
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Expected
##   Information saturated (h1) model          Structured
## 
## 
## Group 1 [UofA]:
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   DISC =~                                                               
##     DISC1             1.000                               0.881    0.828
##     DISC2   (.p2.)    0.941    0.016   58.029    0.000    0.829    0.794
##     DISC3   (.p3.)    0.973    0.016   61.814    0.000    0.857    0.818
##     DISC4   (.p4.)    0.993    0.016   62.030    0.000    0.875    0.834
##     DISC5   (.p5.)    1.073    0.016   69.063    0.000    0.946    0.889
##     DISC6   (.p6.)    0.877    0.017   52.273    0.000    0.773    0.735
##   JOB =~                                                                
##     JOB1              1.000                               1.245    0.885
##     JOB2    (.p8.)    1.012    0.014   71.446    0.000    1.261    0.862
##     JOB3    (.p9.)    0.887    0.012   72.793    0.000    1.105    0.874
##     JOB4    (.10.)    0.853    0.012   71.576    0.000    1.063    0.869
##     JOB5    (.11.)    1.979    0.053   37.275    0.000    2.465    0.452
##   CARE =~                                                               
##     CARE1             1.000                               0.984    0.957
##     CARE2   (.13.)    0.986    0.007  140.966    0.000    0.970    0.962
##     CARE3   (.14.)    1.015    0.009  117.348    0.000    0.998    0.923
##     CARE4   (.15.)    1.851    0.045   40.933    0.000    1.822    0.314
##   RISK =~                                                               
##     RISK1             1.000                               0.824    0.828
##     RISK2   (.17.)    0.999    0.024   41.093    0.000    0.824    0.740
##     RISK3   (.18.)    0.959    0.024   40.742    0.000    0.791    0.735
##   SOC =~                                                                
##     SOC1              1.000                               1.129    0.921
##     SOC2    (.20.)    0.713    0.051   14.035    0.000    0.805    0.632
##   EMO =~                                                                
##     EMO1              1.000                               0.593    0.586
##     EMO2    (.22.)    1.322    0.051   25.867    0.000    0.785    0.831
##     EMO3    (.23.)    1.003    0.041   24.708    0.000    0.595    0.515
##   IND =~                                                                
##     IND1              1.000                               0.656    0.800
##     IND2    (.25.)    0.937    0.075   12.549    0.000    0.614    0.713
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   DISC ~~                                                               
##     JOB               0.361    0.025   14.198    0.000    0.329    0.329
##     CARE              0.275    0.020   14.070    0.000    0.317    0.317
##     RISK              0.138    0.017    8.026    0.000    0.190    0.190
##     SOC              -0.018    0.022   -0.794    0.427   -0.018   -0.018
##     EMO               0.159    0.014   11.408    0.000    0.305    0.305
##     IND              -0.021    0.014   -1.452    0.146   -0.036   -0.036
##   JOB ~~                                                                
##     CARE              0.232    0.027    8.710    0.000    0.189    0.189
##     RISK              0.236    0.024    9.635    0.000    0.230    0.230
##     SOC               0.085    0.032    2.666    0.008    0.060    0.060
##     EMO               0.205    0.019   10.573    0.000    0.277    0.277
##     IND               0.024    0.020    1.206    0.228    0.029    0.029
##   CARE ~~                                                               
##     RISK              0.138    0.019    7.387    0.000    0.170    0.170
##     SOC               0.089    0.025    3.588    0.000    0.080    0.080
##     EMO               0.126    0.015    8.676    0.000    0.216    0.216
##     IND               0.002    0.015    0.139    0.890    0.003    0.003
##   RISK ~~                                                               
##     SOC               0.169    0.023    7.430    0.000    0.182    0.182
##     EMO               0.127    0.013    9.416    0.000    0.259    0.259
##     IND               0.088    0.014    6.093    0.000    0.163    0.163
##   SOC ~~                                                                
##     EMO               0.138    0.018    7.876    0.000    0.206    0.206
##     IND               0.008    0.019    0.406    0.685    0.010    0.010
##   EMO ~~                                                                
##     IND               0.003    0.011    0.265    0.791    0.007    0.007
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .DISC1   (.79.)    1.963    0.015  133.986    0.000    1.963    1.844
##    .DISC2   (.80.)    1.711    0.015  115.169    0.000    1.711    1.639
##    .DISC3   (.81.)    1.695    0.015  116.064    0.000    1.695    1.618
##    .DISC4   (.82.)    1.631    0.015  109.125    0.000    1.631    1.556
##    .DISC5   (.83.)    1.886    0.015  126.246    0.000    1.886    1.772
##    .DISC6   (.84.)    1.637    0.015  109.422    0.000    1.637    1.558
##    .JOB1    (.85.)    2.538    0.020  125.046    0.000    2.538    1.804
##    .JOB2    (.86.)    2.636    0.021  124.659    0.000    2.636    1.801
##    .JOB3    (.87.)    2.222    0.018  121.010    0.000    2.222    1.758
##    .JOB4    (.88.)    2.133    0.018  119.354    0.000    2.133    1.745
##    .JOB5    (.89.)    6.352    0.064   99.331    0.000    6.352    1.166
##    .CARE1   (.90.)    1.550    0.016   99.769    0.000    1.550    1.509
##    .CARE2   (.91.)    1.543    0.015  100.733    0.000    1.543    1.530
##    .CARE3   (.92.)    1.575    0.017   95.336    0.000    1.575    1.457
##    .CARE4   (.93.)    1.884    0.052   36.400    0.000    1.884    0.324
##    .RISK1   (.94.)    2.708    0.014  187.623    0.000    2.708    2.719
##    .RISK2   (.95.)    2.632    0.017  157.946    0.000    2.632    2.364
##    .RISK3   (.96.)    2.955    0.016  181.357    0.000    2.955    2.746
##    .SOC1    (.97.)    3.457    0.018  191.146    0.000    3.457    2.820
##    .SOC2    (.98.)    2.965    0.019  158.877    0.000    2.965    2.326
##    .EMO1    (.99.)    3.044    0.015  204.170    0.000    3.044    3.008
##    .EMO2    (.100)    2.522    0.014  181.127    0.000    2.522    2.669
##    .EMO3    (.101)    2.646    0.017  155.617    0.000    2.646    2.290
##    .IND1    (.102)    4.060    0.013  315.644    0.000    4.060    4.957
##    .IND2    (.103)    4.050    0.014  299.372    0.000    4.050    4.699
##     DISC              0.000                               0.000    0.000
##     JOB               0.000                               0.000    0.000
##     CARE              0.000                               0.000    0.000
##     RISK              0.000                               0.000    0.000
##     SOC               0.000                               0.000    0.000
##     EMO               0.000                               0.000    0.000
##     IND               0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .DISC1             0.356    0.012   29.324    0.000    0.356    0.315
##    .DISC2             0.402    0.013   30.542    0.000    0.402    0.369
##    .DISC3             0.363    0.012   29.722    0.000    0.363    0.331
##    .DISC4             0.334    0.012   28.997    0.000    0.334    0.304
##    .DISC5             0.237    0.009   25.121    0.000    0.237    0.210
##    .DISC6             0.508    0.016   31.943    0.000    0.508    0.460
##    .JOB1              0.429    0.017   25.257    0.000    0.429    0.216
##    .JOB2              0.552    0.020   27.281    0.000    0.552    0.258
##    .JOB3              0.376    0.014   26.267    0.000    0.376    0.236
##    .JOB4              0.365    0.014   26.672    0.000    0.365    0.244
##    .JOB5             23.608    0.688   34.314    0.000   23.608    0.795
##    .CARE1             0.088    0.004   19.985    0.000    0.088    0.083
##    .CARE2             0.075    0.004   18.345    0.000    0.075    0.074
##    .CARE3             0.172    0.006   27.682    0.000    0.172    0.147
##    .CARE4            30.408    0.873   34.839    0.000   30.408    0.902
##    .RISK1             0.312    0.017   18.359    0.000    0.312    0.315
##    .RISK2             0.560    0.022   25.558    0.000    0.560    0.452
##    .RISK3             0.532    0.021   25.869    0.000    0.532    0.460
##    .SOC1              0.229    0.093    2.468    0.014    0.229    0.152
##    .SOC2              0.977    0.055   17.870    0.000    0.977    0.601
##    .EMO1              0.672    0.024   28.341    0.000    0.672    0.656
##    .EMO2              0.277    0.024   11.639    0.000    0.277    0.310
##    .EMO3              0.981    0.032   30.798    0.000    0.981    0.735
##    .IND1              0.241    0.036    6.660    0.000    0.241    0.360
##    .IND2              0.365    0.033   11.083    0.000    0.365    0.492
##     DISC              0.777    0.029   27.026    0.000    1.000    1.000
##     JOB               1.551    0.054   28.789    0.000    1.000    1.000
##     CARE              0.968    0.030   32.618    0.000    1.000    1.000
##     RISK              0.680    0.029   23.571    0.000    1.000    1.000
##     SOC               1.275    0.100   12.692    0.000    1.000    1.000
##     EMO               0.352    0.023   15.400    0.000    1.000    1.000
##     IND               0.430    0.038   11.231    0.000    1.000    1.000
## 
## 
## Group 2 [Nielsen]:
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   DISC =~                                                               
##     DISC1             1.000                               0.739    0.814
##     DISC2   (.p2.)    0.941    0.016   58.029    0.000    0.696    0.727
##     DISC3   (.p3.)    0.973    0.016   61.814    0.000    0.719    0.784
##     DISC4   (.p4.)    0.993    0.016   62.030    0.000    0.734    0.756
##     DISC5   (.p5.)    1.073    0.016   69.063    0.000    0.794    0.833
##     DISC6   (.p6.)    0.877    0.017   52.273    0.000    0.648    0.675
##   JOB =~                                                                
##     JOB1              1.000                               1.107    0.834
##     JOB2    (.p8.)    1.012    0.014   71.446    0.000    1.120    0.810
##     JOB3    (.p9.)    0.887    0.012   72.793    0.000    0.982    0.809
##     JOB4    (.10.)    0.853    0.012   71.576    0.000    0.944    0.790
##     JOB5    (.11.)    1.979    0.053   37.275    0.000    2.190    0.607
##   CARE =~                                                               
##     CARE1             1.000                               1.019    0.953
##     CARE2   (.13.)    0.986    0.007  140.966    0.000    1.004    0.946
##     CARE3   (.14.)    1.015    0.009  117.348    0.000    1.033    0.894
##     CARE4   (.15.)    1.851    0.045   40.933    0.000    1.886    0.664
##   RISK =~                                                               
##     RISK1             1.000                               0.768    0.822
##     RISK2   (.17.)    0.999    0.024   41.093    0.000    0.768    0.684
##     RISK3   (.18.)    0.959    0.024   40.742    0.000    0.737    0.660
##   SOC =~                                                                
##     SOC1              1.000                               1.054    0.883
##     SOC2    (.20.)    0.713    0.051   14.035    0.000    0.751    0.618
##   EMO =~                                                                
##     EMO1              1.000                               0.545    0.555
##     EMO2    (.22.)    1.322    0.051   25.867    0.000    0.720    0.780
##     EMO3    (.23.)    1.003    0.041   24.708    0.000    0.546    0.489
##   IND =~                                                                
##     IND1              1.000                               0.744    0.808
##     IND2    (.25.)    0.937    0.075   12.549    0.000    0.698    0.722
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   DISC ~~                                                               
##     JOB               0.073    0.020    3.584    0.000    0.090    0.090
##     CARE              0.099    0.018    5.403    0.000    0.131    0.131
##     RISK              0.028    0.015    1.855    0.064    0.049    0.049
##     SOC               0.006    0.020    0.274    0.784    0.007    0.007
##     EMO               0.084    0.012    7.118    0.000    0.208    0.208
##     IND               0.021    0.015    1.385    0.166    0.038    0.038
##   JOB ~~                                                                
##     CARE              0.121    0.027    4.419    0.000    0.107    0.107
##     RISK              0.192    0.023    8.322    0.000    0.226    0.226
##     SOC               0.035    0.031    1.139    0.255    0.030    0.030
##     EMO               0.087    0.017    5.010    0.000    0.144    0.144
##     IND               0.110    0.023    4.820    0.000    0.134    0.134
##   CARE ~~                                                               
##     RISK              0.036    0.020    1.769    0.077    0.045    0.045
##     SOC               0.099    0.027    3.633    0.000    0.093    0.093
##     EMO               0.076    0.015    4.913    0.000    0.136    0.136
##     IND               0.044    0.020    2.171    0.030    0.057    0.057
##   RISK ~~                                                               
##     SOC               0.105    0.023    4.625    0.000    0.130    0.130
##     EMO               0.095    0.013    7.279    0.000    0.228    0.228
##     IND               0.140    0.017    8.044    0.000    0.245    0.245
##   SOC ~~                                                                
##     EMO               0.208    0.019   11.064    0.000    0.362    0.362
##     IND              -0.061    0.023   -2.683    0.007   -0.077   -0.077
##   EMO ~~                                                                
##     IND              -0.048    0.013   -3.742    0.000   -0.117   -0.117
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .DISC1   (.79.)    1.963    0.015  133.986    0.000    1.963    2.162
##    .DISC2   (.80.)    1.711    0.015  115.169    0.000    1.711    1.788
##    .DISC3   (.81.)    1.695    0.015  116.064    0.000    1.695    1.848
##    .DISC4   (.82.)    1.631    0.015  109.125    0.000    1.631    1.681
##    .DISC5   (.83.)    1.886    0.015  126.246    0.000    1.886    1.979
##    .DISC6   (.84.)    1.637    0.015  109.422    0.000    1.637    1.705
##    .JOB1    (.85.)    2.538    0.020  125.046    0.000    2.538    1.912
##    .JOB2    (.86.)    2.636    0.021  124.659    0.000    2.636    1.905
##    .JOB3    (.87.)    2.222    0.018  121.010    0.000    2.222    1.830
##    .JOB4    (.88.)    2.133    0.018  119.354    0.000    2.133    1.785
##    .JOB5    (.89.)    6.352    0.064   99.331    0.000    6.352    1.760
##    .CARE1   (.90.)    1.550    0.016   99.769    0.000    1.550    1.451
##    .CARE2   (.91.)    1.543    0.015  100.733    0.000    1.543    1.453
##    .CARE3   (.92.)    1.575    0.017   95.336    0.000    1.575    1.362
##    .CARE4   (.93.)    1.884    0.052   36.400    0.000    1.884    0.663
##    .RISK1   (.94.)    2.708    0.014  187.623    0.000    2.708    2.898
##    .RISK2   (.95.)    2.632    0.017  157.946    0.000    2.632    2.345
##    .RISK3   (.96.)    2.955    0.016  181.357    0.000    2.955    2.645
##    .SOC1    (.97.)    3.457    0.018  191.146    0.000    3.457    2.899
##    .SOC2    (.98.)    2.965    0.019  158.877    0.000    2.965    2.438
##    .EMO1    (.99.)    3.044    0.015  204.170    0.000    3.044    3.101
##    .EMO2    (.100)    2.522    0.014  181.127    0.000    2.522    2.732
##    .EMO3    (.101)    2.646    0.017  155.617    0.000    2.646    2.370
##    .IND1    (.102)    4.060    0.013  315.644    0.000    4.060    4.409
##    .IND2    (.103)    4.050    0.014  299.372    0.000    4.050    4.190
##     DISC              0.000                               0.000    0.000
##     JOB               0.000                               0.000    0.000
##     CARE              0.000                               0.000    0.000
##     RISK              0.000                               0.000    0.000
##     SOC               0.000                               0.000    0.000
##     EMO               0.000                               0.000    0.000
##     IND               0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .DISC1             0.278    0.011   25.155    0.000    0.278    0.337
##    .DISC2             0.432    0.015   28.024    0.000    0.432    0.472
##    .DISC3             0.324    0.012   26.421    0.000    0.324    0.385
##    .DISC4             0.403    0.015   27.318    0.000    0.403    0.428
##    .DISC5             0.278    0.011   24.203    0.000    0.278    0.306
##    .DISC6             0.502    0.017   28.956    0.000    0.502    0.544
##    .JOB1              0.537    0.023   23.434    0.000    0.537    0.305
##    .JOB2              0.659    0.027   24.803    0.000    0.659    0.344
##    .JOB3              0.510    0.021   24.874    0.000    0.510    0.346
##    .JOB4              0.536    0.021   25.714    0.000    0.536    0.376
##    .JOB5              8.233    0.279   29.559    0.000    8.233    0.632
##    .CARE1             0.104    0.006   16.771    0.000    0.104    0.091
##    .CARE2             0.120    0.006   18.725    0.000    0.120    0.106
##    .CARE3             0.270    0.010   26.101    0.000    0.270    0.202
##    .CARE4             4.514    0.147   30.612    0.000    4.514    0.559
##    .RISK1             0.284    0.018   15.481    0.000    0.284    0.325
##    .RISK2             0.670    0.027   24.579    0.000    0.670    0.532
##    .RISK3             0.705    0.028   25.609    0.000    0.705    0.565
##    .SOC1              0.312    0.080    3.893    0.000    0.312    0.219
##    .SOC2              0.915    0.050   18.407    0.000    0.915    0.618
##    .EMO1              0.667    0.025   26.334    0.000    0.667    0.692
##    .EMO2              0.333    0.024   13.595    0.000    0.333    0.391
##    .EMO3              0.948    0.034   28.099    0.000    0.948    0.761
##    .IND1              0.294    0.045    6.572    0.000    0.294    0.347
##    .IND2              0.447    0.041   10.918    0.000    0.447    0.479
##     DISC              0.547    0.022   24.984    0.000    1.000    1.000
##     JOB               1.224    0.048   25.683    0.000    1.000    1.000
##     CARE              1.037    0.035   29.616    0.000    1.000    1.000
##     RISK              0.590    0.027   21.542    0.000    1.000    1.000
##     SOC               1.110    0.089   12.431    0.000    1.000    1.000
##     EMO               0.297    0.021   14.363    0.000    1.000    1.000
##     IND               0.554    0.050   11.164    0.000    1.000    1.000

Chi-squared Difference test

Notes on interpretation: If p-value > 0.05, the constrained model is equivalent to the unconstrained/free model (the coefficients and intercepts do not vary by group). Thus, it would be fair to analyse the pooled data in a single global model.

If p< 0.05, the free model is significantly different from the constrained model, implying differences in coefficients/intercepts between the two groups.

*Difference between config and metric

anova(config, metric)
## Chi-Squared Difference Test
## 
##         Df    AIC    BIC  Chisq Chisq diff Df diff Pr(>Chisq)    
## config 508 298794 300023 2841.4                                  
## metric 526 299159 300273 3241.9     400.46      18  < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

*Difference between metric and scalar

anova(metric, scalar)
## Chi-Squared Difference Test
## 
##         Df    AIC    BIC  Chisq Chisq diff Df diff Pr(>Chisq)    
## metric 526 299159 300273 3241.9                                  
## scalar 551 300329 301283 4462.6     1220.7      25  < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1