Measurement Invariance and Rank-order Stability

Author

Enrico Perinelli
Department of Psychology and Cognitive Science, University of Trento

Published

Last Updated on May 02, 2026

library(lavaan)
This is lavaan 0.6-21
lavaan is FREE software! Please report any bugs.
load("../socDesWorkspace.RData")

Configural Invariance

summary(fit_MI_configural, fit.measures = TRUE, standardized = TRUE)
lavaan 0.6-21 ended normally after 30 iterations

  Estimator                                       DWLS
  Optimization method                           NLMINB
  Number of model parameters                       285

  Number of observations                          2648

Model Test User Model:
                                              Standard      Scaled
  Test Statistic                              6308.397    4604.402
  Degrees of freedom                              1545        1545
  P-value (Unknown)                                 NA       0.000
  Scaling correction factor                                  1.672
  Shift parameter                                          831.692
    simple second-order correction                                

Model Test Baseline Model:

  Test statistic                            252838.579   93417.408
  Degrees of freedom                              1770        1770
  P-value                                           NA       0.000
  Scaling correction factor                                  2.740

User Model versus Baseline Model:

  Comparative Fit Index (CFI)                    0.981       0.967
  Tucker-Lewis Index (TLI)                       0.978       0.962
                                                                  
  Robust Comparative Fit Index (CFI)                         0.925
  Robust Tucker-Lewis Index (TLI)                            0.914

Root Mean Square Error of Approximation:

  RMSEA                                          0.034       0.027
  90 Percent confidence interval - lower         0.033       0.026
  90 Percent confidence interval - upper         0.035       0.028
  P-value H_0: RMSEA <= 0.050                    1.000       1.000
  P-value H_0: RMSEA >= 0.080                    0.000       0.000
                                                                  
  Robust RMSEA                                               0.052
  90 Percent confidence interval - lower                     0.049
  90 Percent confidence interval - upper                     0.056
  P-value H_0: Robust RMSEA <= 0.050                         0.135
  P-value H_0: Robust RMSEA >= 0.080                         0.000

Standardized Root Mean Square Residual:

  SRMR                                           0.067       0.067

Parameter Estimates:

  Parameterization                               Theta
  Standard errors                           Robust.sem
  Information                                 Expected
  Information saturated (h1) model        Unstructured

Latent Variables:
                   Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
  f19 =~                                                                
    SocDes1_19        0.411    0.040   10.190    0.000    0.411    0.380
    SocDes2_19        0.546    0.041   13.148    0.000    0.546    0.479
    SocDes3_19        0.453    0.039   11.524    0.000    0.453    0.412
    SocDes4_19        0.595    0.043   13.842    0.000    0.595    0.511
    SocDes5_19        0.301    0.045    6.740    0.000    0.301    0.288
    SocDes6_19        0.553    0.041   13.581    0.000    0.553    0.484
    SocDes7_19        0.586    0.041   14.315    0.000    0.586    0.506
    SocDes8_19        0.258    0.041    6.268    0.000    0.258    0.250
    SocDes9_19        0.561    0.040   13.985    0.000    0.561    0.489
    SocDes10_19       0.578    0.043   13.584    0.000    0.578    0.500
  f20 =~                                                                
    SocDes1_20        0.347    0.039    8.921    0.000    0.347    0.328
    SocDes2_20        0.518    0.040   12.944    0.000    0.518    0.460
    SocDes3_20        0.455    0.040   11.519    0.000    0.455    0.414
    SocDes4_20        0.562    0.042   13.407    0.000    0.562    0.490
    SocDes5_20        0.333    0.043    7.745    0.000    0.333    0.316
    SocDes6_20        0.565    0.040   14.024    0.000    0.565    0.492
    SocDes7_20        0.522    0.039   13.497    0.000    0.522    0.463
    SocDes8_20        0.331    0.042    7.872    0.000    0.331    0.314
    SocDes9_20        0.645    0.043   15.134    0.000    0.645    0.542
    SocDes10_20       0.485    0.039   12.416    0.000    0.485    0.436
  f21 =~                                                                
    SocDes1_21        0.352    0.040    8.834    0.000    0.352    0.332
    SocDes2_21        0.525    0.039   13.298    0.000    0.525    0.465
    SocDes3_21        0.472    0.040   11.922    0.000    0.472    0.427
    SocDes4_21        0.651    0.045   14.464    0.000    0.651    0.546
    SocDes5_21        0.337    0.044    7.624    0.000    0.337    0.319
    SocDes6_21        0.524    0.039   13.320    0.000    0.524    0.464
    SocDes7_21        0.512    0.038   13.396    0.000    0.512    0.456
    SocDes8_21        0.306    0.043    7.147    0.000    0.306    0.293
    SocDes9_21        0.568    0.040   14.290    0.000    0.568    0.494
    SocDes10_21       0.510    0.040   12.759    0.000    0.510    0.454
  f22 =~                                                                
    SocDes1_22        0.400    0.042    9.500    0.000    0.400    0.371
    SocDes2_22        0.519    0.040   12.825    0.000    0.519    0.461
    SocDes3_22        0.457    0.040   11.448    0.000    0.457    0.416
    SocDes4_22        0.656    0.046   14.368    0.000    0.656    0.548
    SocDes5_22        0.344    0.044    7.843    0.000    0.344    0.325
    SocDes6_22        0.507    0.039   12.976    0.000    0.507    0.452
    SocDes7_22        0.536    0.039   13.824    0.000    0.536    0.473
    SocDes8_22        0.277    0.041    6.726    0.000    0.277    0.267
    SocDes9_22        0.581    0.040   14.390    0.000    0.581    0.502
    SocDes10_22       0.499    0.039   12.789    0.000    0.499    0.446
  f23 =~                                                                
    SocDes1_23        0.358    0.039    9.289    0.000    0.358    0.337
    SocDes2_23        0.537    0.039   13.612    0.000    0.537    0.473
    SocDes3_23        0.471    0.040   11.762    0.000    0.471    0.426
    SocDes4_23        0.628    0.045   14.065    0.000    0.628    0.532
    SocDes5_23        0.374    0.045    8.218    0.000    0.374    0.350
    SocDes6_23        0.573    0.040   14.178    0.000    0.573    0.497
    SocDes7_23        0.494    0.037   13.317    0.000    0.494    0.443
    SocDes8_23        0.269    0.041    6.608    0.000    0.269    0.259
    SocDes9_23        0.515    0.038   13.731    0.000    0.515    0.458
    SocDes10_23       0.431    0.037   11.567    0.000    0.431    0.396
  f24 =~                                                                
    SocDes1_24        0.352    0.040    8.715    0.000    0.352    0.332
    SocDes2_24        0.587    0.042   13.955    0.000    0.587    0.506
    SocDes3_24        0.435    0.039   11.060    0.000    0.435    0.399
    SocDes4_24        0.682    0.046   14.932    0.000    0.682    0.564
    SocDes5_24        0.295    0.045    6.604    0.000    0.295    0.283
    SocDes6_24        0.507    0.039   12.968    0.000    0.507    0.452
    SocDes7_24        0.541    0.039   13.859    0.000    0.541    0.476
    SocDes8_24        0.256    0.041    6.182    0.000    0.256    0.248
    SocDes9_24        0.579    0.040   14.461    0.000    0.579    0.501
    SocDes10_24       0.570    0.042   13.453    0.000    0.570    0.495

Covariances:
                   Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
  f19 ~~                                                                
    f20               0.927    0.015   61.395    0.000    0.927    0.927
    f21               0.926    0.016   56.171    0.000    0.926    0.926
    f22               0.885    0.016   53.828    0.000    0.885    0.885
    f23               0.901    0.017   52.014    0.000    0.901    0.901
    f24               0.884    0.018   49.599    0.000    0.884    0.884
  f20 ~~                                                                
    f21               0.914    0.016   56.356    0.000    0.914    0.914
    f22               0.893    0.016   55.051    0.000    0.893    0.893
    f23               0.929    0.016   58.513    0.000    0.929    0.929
    f24               0.902    0.017   54.661    0.000    0.902    0.902
  f21 ~~                                                                
    f22               0.926    0.015   59.849    0.000    0.926    0.926
    f23               0.957    0.014   66.316    0.000    0.957    0.957
    f24               0.916    0.015   59.585    0.000    0.916    0.916
  f22 ~~                                                                
    f23               0.958    0.015   64.539    0.000    0.958    0.958
    f24               0.935    0.015   61.831    0.000    0.935    0.935
  f23 ~~                                                                
    f24               0.931    0.015   60.116    0.000    0.931    0.931
 .SocDes1_19 ~~                                                         
   .SocDes1_20        0.680    0.026   26.635    0.000    0.680    0.680
   .SocDes1_21        0.634    0.028   22.517    0.000    0.634    0.634
   .SocDes1_22        0.676    0.027   24.943    0.000    0.676    0.676
   .SocDes1_23        0.644    0.028   22.909    0.000    0.644    0.644
   .SocDes1_24        0.660    0.027   24.022    0.000    0.660    0.660
 .SocDes1_20 ~~                                                         
   .SocDes1_21        0.698    0.025   28.131    0.000    0.698    0.698
   .SocDes1_22        0.678    0.026   25.630    0.000    0.678    0.678
   .SocDes1_23        0.642    0.028   23.220    0.000    0.642    0.642
   .SocDes1_24        0.646    0.027   23.558    0.000    0.646    0.646
 .SocDes1_21 ~~                                                         
   .SocDes1_22        0.688    0.026   26.134    0.000    0.688    0.688
   .SocDes1_23        0.712    0.025   28.823    0.000    0.712    0.712
   .SocDes1_24        0.664    0.027   24.425    0.000    0.664    0.664
 .SocDes1_22 ~~                                                         
   .SocDes1_23        0.726    0.024   29.952    0.000    0.726    0.726
   .SocDes1_24        0.721    0.024   29.522    0.000    0.721    0.721
 .SocDes1_23 ~~                                                         
   .SocDes1_24        0.725    0.024   30.254    0.000    0.725    0.725
 .SocDes2_19 ~~                                                         
   .SocDes2_20        0.721    0.022   33.224    0.000    0.721    0.721
   .SocDes2_21        0.699    0.023   30.892    0.000    0.699    0.699
   .SocDes2_22        0.660    0.024   27.099    0.000    0.660    0.660
   .SocDes2_23        0.707    0.023   31.249    0.000    0.707    0.707
   .SocDes2_24        0.644    0.025   25.333    0.000    0.644    0.644
 .SocDes2_20 ~~                                                         
   .SocDes2_21        0.744    0.021   36.169    0.000    0.744    0.744
   .SocDes2_22        0.709    0.022   31.598    0.000    0.709    0.709
   .SocDes2_23        0.692    0.023   30.283    0.000    0.692    0.692
   .SocDes2_24        0.744    0.021   34.997    0.000    0.744    0.744
 .SocDes2_21 ~~                                                         
   .SocDes2_22        0.684    0.023   29.876    0.000    0.684    0.684
   .SocDes2_23        0.723    0.021   34.040    0.000    0.723    0.723
   .SocDes2_24        0.654    0.025   26.685    0.000    0.654    0.654
 .SocDes2_22 ~~                                                         
   .SocDes2_23        0.663    0.024   28.126    0.000    0.663    0.663
   .SocDes2_24        0.699    0.023   30.931    0.000    0.699    0.699
 .SocDes2_23 ~~                                                         
   .SocDes2_24        0.711    0.022   31.881    0.000    0.711    0.711
 .SocDes3_19 ~~                                                         
   .SocDes3_20        0.549    0.029   19.023    0.000    0.549    0.549
   .SocDes3_21        0.566    0.028   19.996    0.000    0.566    0.566
   .SocDes3_22        0.559    0.029   19.516    0.000    0.559    0.559
   .SocDes3_23        0.498    0.031   15.989    0.000    0.498    0.498
   .SocDes3_24        0.530    0.030   17.776    0.000    0.530    0.530
 .SocDes3_20 ~~                                                         
   .SocDes3_21        0.593    0.027   21.808    0.000    0.593    0.593
   .SocDes3_22        0.602    0.027   22.495    0.000    0.602    0.602
   .SocDes3_23        0.568    0.028   19.938    0.000    0.568    0.568
   .SocDes3_24        0.603    0.027   22.358    0.000    0.603    0.603
 .SocDes3_21 ~~                                                         
   .SocDes3_22        0.579    0.028   20.873    0.000    0.579    0.579
   .SocDes3_23        0.572    0.029   20.010    0.000    0.572    0.572
   .SocDes3_24        0.578    0.028   20.610    0.000    0.578    0.578
 .SocDes3_22 ~~                                                         
   .SocDes3_23        0.551    0.029   18.872    0.000    0.551    0.551
   .SocDes3_24        0.599    0.027   21.934    0.000    0.599    0.599
 .SocDes3_23 ~~                                                         
   .SocDes3_24        0.594    0.028   21.395    0.000    0.594    0.594
 .SocDes4_19 ~~                                                         
   .SocDes4_20        0.754    0.021   36.002    0.000    0.754    0.754
   .SocDes4_21        0.727    0.023   32.127    0.000    0.727    0.727
   .SocDes4_22        0.715    0.024   29.817    0.000    0.715    0.715
   .SocDes4_23        0.717    0.024   30.364    0.000    0.717    0.717
   .SocDes4_24        0.725    0.024   30.452    0.000    0.725    0.725
 .SocDes4_20 ~~                                                         
   .SocDes4_21        0.757    0.021   35.589    0.000    0.757    0.757
   .SocDes4_22        0.786    0.020   38.638    0.000    0.786    0.786
   .SocDes4_23        0.740    0.022   33.687    0.000    0.740    0.740
   .SocDes4_24        0.736    0.023   32.581    0.000    0.736    0.736
 .SocDes4_21 ~~                                                         
   .SocDes4_22        0.790    0.020   39.216    0.000    0.790    0.790
   .SocDes4_23        0.747    0.022   34.331    0.000    0.747    0.747
   .SocDes4_24        0.756    0.022   34.210    0.000    0.756    0.756
 .SocDes4_22 ~~                                                         
   .SocDes4_23        0.762    0.021   36.200    0.000    0.762    0.762
   .SocDes4_24        0.768    0.021   36.065    0.000    0.768    0.768
 .SocDes4_23 ~~                                                         
   .SocDes4_24        0.772    0.021   36.795    0.000    0.772    0.772
 .SocDes5_19 ~~                                                         
   .SocDes5_20        0.653    0.032   20.112    0.000    0.653    0.653
   .SocDes5_21        0.638    0.034   18.540    0.000    0.638    0.638
   .SocDes5_22        0.608    0.037   16.530    0.000    0.608    0.608
   .SocDes5_23        0.651    0.035   18.854    0.000    0.651    0.651
   .SocDes5_24        0.529    0.040   13.295    0.000    0.529    0.529
 .SocDes5_20 ~~                                                         
   .SocDes5_21        0.644    0.034   19.115    0.000    0.644    0.644
   .SocDes5_22        0.560    0.039   14.198    0.000    0.560    0.560
   .SocDes5_23        0.696    0.032   22.079    0.000    0.696    0.696
   .SocDes5_24        0.645    0.034   18.978    0.000    0.645    0.645
 .SocDes5_21 ~~                                                         
   .SocDes5_22        0.583    0.039   15.051    0.000    0.583    0.583
   .SocDes5_23        0.666    0.034   19.607    0.000    0.666    0.666
   .SocDes5_24        0.636    0.035   17.924    0.000    0.636    0.636
 .SocDes5_22 ~~                                                         
   .SocDes5_23        0.657    0.035   18.754    0.000    0.657    0.657
   .SocDes5_24        0.642    0.035   18.073    0.000    0.642    0.642
 .SocDes5_23 ~~                                                         
   .SocDes5_24        0.717    0.031   23.344    0.000    0.717    0.717
 .SocDes6_19 ~~                                                         
   .SocDes6_20        0.663    0.024   27.234    0.000    0.663    0.663
   .SocDes6_21        0.684    0.023   29.147    0.000    0.684    0.684
   .SocDes6_22        0.645    0.025   25.740    0.000    0.645    0.645
   .SocDes6_23        0.651    0.025   25.764    0.000    0.651    0.651
   .SocDes6_24        0.627    0.026   24.185    0.000    0.627    0.627
 .SocDes6_20 ~~                                                         
   .SocDes6_21        0.695    0.023   30.072    0.000    0.695    0.695
   .SocDes6_22        0.653    0.025   26.391    0.000    0.653    0.653
   .SocDes6_23        0.673    0.024   27.504    0.000    0.673    0.673
   .SocDes6_24        0.642    0.025   25.403    0.000    0.642    0.642
 .SocDes6_21 ~~                                                         
   .SocDes6_22        0.708    0.022   32.097    0.000    0.708    0.708
   .SocDes6_23        0.672    0.024   28.441    0.000    0.672    0.672
   .SocDes6_24        0.669    0.024   28.050    0.000    0.669    0.669
 .SocDes6_22 ~~                                                         
   .SocDes6_23        0.713    0.022   32.419    0.000    0.713    0.713
   .SocDes6_24        0.709    0.022   32.300    0.000    0.709    0.709
 .SocDes6_23 ~~                                                         
   .SocDes6_24        0.699    0.023   30.729    0.000    0.699    0.699
 .SocDes7_19 ~~                                                         
   .SocDes7_20        0.670    0.023   28.909    0.000    0.670    0.670
   .SocDes7_21        0.653    0.024   27.417    0.000    0.653    0.653
   .SocDes7_22        0.623    0.025   24.698    0.000    0.623    0.623
   .SocDes7_23        0.613    0.025   24.293    0.000    0.613    0.613
   .SocDes7_24        0.566    0.027   20.808    0.000    0.566    0.566
 .SocDes7_20 ~~                                                         
   .SocDes7_21        0.704    0.021   32.758    0.000    0.704    0.704
   .SocDes7_22        0.666    0.023   28.650    0.000    0.666    0.666
   .SocDes7_23        0.636    0.024   26.305    0.000    0.636    0.636
   .SocDes7_24        0.632    0.025   25.696    0.000    0.632    0.632
 .SocDes7_21 ~~                                                         
   .SocDes7_22        0.680    0.023   30.143    0.000    0.680    0.680
   .SocDes7_23        0.667    0.023   29.589    0.000    0.667    0.667
   .SocDes7_24        0.677    0.023   29.749    0.000    0.677    0.677
 .SocDes7_22 ~~                                                         
   .SocDes7_23        0.700    0.021   32.627    0.000    0.700    0.700
   .SocDes7_24        0.648    0.024   27.078    0.000    0.648    0.648
 .SocDes7_23 ~~                                                         
   .SocDes7_24        0.702    0.022   32.642    0.000    0.702    0.702
 .SocDes8_19 ~~                                                         
   .SocDes8_20        0.480    0.035   13.722    0.000    0.480    0.480
   .SocDes8_21        0.516    0.034   15.152    0.000    0.516    0.516
   .SocDes8_22        0.540    0.033   16.181    0.000    0.540    0.540
   .SocDes8_23        0.428    0.037   11.649    0.000    0.428    0.428
   .SocDes8_24        0.443    0.036   12.237    0.000    0.443    0.443
 .SocDes8_20 ~~                                                         
   .SocDes8_21        0.554    0.032   17.191    0.000    0.554    0.554
   .SocDes8_22        0.502    0.034   14.689    0.000    0.502    0.502
   .SocDes8_23        0.503    0.034   14.647    0.000    0.503    0.503
   .SocDes8_24        0.506    0.034   15.017    0.000    0.506    0.506
 .SocDes8_21 ~~                                                         
   .SocDes8_22        0.502    0.034   14.548    0.000    0.502    0.502
   .SocDes8_23        0.533    0.033   16.074    0.000    0.533    0.533
   .SocDes8_24        0.497    0.034   14.631    0.000    0.497    0.497
 .SocDes8_22 ~~                                                         
   .SocDes8_23        0.497    0.034   14.584    0.000    0.497    0.497
   .SocDes8_24        0.443    0.036   12.379    0.000    0.443    0.443
 .SocDes8_23 ~~                                                         
   .SocDes8_24        0.517    0.033   15.604    0.000    0.517    0.517
 .SocDes9_19 ~~                                                         
   .SocDes9_20        0.767    0.020   38.978    0.000    0.767    0.767
   .SocDes9_21        0.751    0.020   37.154    0.000    0.751    0.751
   .SocDes9_22        0.746    0.021   35.744    0.000    0.746    0.746
   .SocDes9_23        0.741    0.020   36.159    0.000    0.741    0.741
   .SocDes9_24        0.724    0.022   33.168    0.000    0.724    0.724
 .SocDes9_20 ~~                                                         
   .SocDes9_21        0.774    0.020   39.296    0.000    0.774    0.774
   .SocDes9_22        0.783    0.020   38.933    0.000    0.783    0.783
   .SocDes9_23        0.728    0.021   33.882    0.000    0.728    0.728
   .SocDes9_24        0.729    0.022   33.159    0.000    0.729    0.729
 .SocDes9_21 ~~                                                         
   .SocDes9_22        0.767    0.020   39.325    0.000    0.767    0.767
   .SocDes9_23        0.760    0.019   39.599    0.000    0.760    0.760
   .SocDes9_24        0.753    0.020   37.259    0.000    0.753    0.753
 .SocDes9_22 ~~                                                         
   .SocDes9_23        0.775    0.018   41.934    0.000    0.775    0.775
   .SocDes9_24        0.744    0.020   36.351    0.000    0.744    0.744
 .SocDes9_23 ~~                                                         
   .SocDes9_24        0.787    0.018   43.024    0.000    0.787    0.787
 .SocDes10_19 ~~                                                        
   .SocDes10_20       0.529    0.029   18.208    0.000    0.529    0.529
   .SocDes10_21       0.499    0.030   16.465    0.000    0.499    0.499
   .SocDes10_22       0.513    0.030   17.114    0.000    0.513    0.513
   .SocDes10_23       0.527    0.029   18.277    0.000    0.527    0.527
   .SocDes10_24       0.430    0.033   13.219    0.000    0.430    0.430
 .SocDes10_20 ~~                                                        
   .SocDes10_21       0.579    0.027   21.472    0.000    0.579    0.579
   .SocDes10_22       0.546    0.028   19.289    0.000    0.546    0.546
   .SocDes10_23       0.553    0.027   20.186    0.000    0.553    0.553
   .SocDes10_24       0.502    0.030   16.807    0.000    0.502    0.502
 .SocDes10_21 ~~                                                        
   .SocDes10_22       0.540    0.028   19.063    0.000    0.540    0.540
   .SocDes10_23       0.531    0.028   18.854    0.000    0.531    0.531
   .SocDes10_24       0.523    0.029   17.953    0.000    0.523    0.523
 .SocDes10_22 ~~                                                        
   .SocDes10_23       0.617    0.025   24.506    0.000    0.617    0.617
   .SocDes10_24       0.520    0.029   17.972    0.000    0.520    0.520
 .SocDes10_23 ~~                                                        
   .SocDes10_24       0.608    0.026   23.387    0.000    0.608    0.608

Thresholds:
                   Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
    SocDes1_19|t1    -0.922    0.032  -28.767    0.000   -0.922   -0.853
    SocDes2_19|t1     0.440    0.029   15.005    0.000    0.440    0.386
    SocDes3_19|t1    -0.678    0.030  -22.674    0.000   -0.678   -0.617
    SocDes4_19|t1    -0.546    0.031  -17.740    0.000   -0.546   -0.469
    SocDes5_19|t1    -1.283    0.036  -35.191    0.000   -1.283   -1.229
    SocDes6_19|t1    -0.406    0.029  -13.986    0.000   -0.406   -0.356
    SocDes7_19|t1     0.048    0.028    1.709    0.087    0.048    0.042
    SocDes8_19|t1    -1.051    0.032  -32.980    0.000   -1.051   -1.018
    SocDes9_19|t1    -0.123    0.028   -4.383    0.000   -0.123   -0.107
    SocDes10_19|t1    0.497    0.030   16.482    0.000    0.497    0.430
    SocDes1_20|t1    -0.854    0.030  -28.099    0.000   -0.854   -0.807
    SocDes2_20|t1     0.452    0.029   15.592    0.000    0.452    0.401
    SocDes3_20|t1    -0.640    0.030  -21.558    0.000   -0.640   -0.582
    SocDes4_20|t1    -0.525    0.030  -17.450    0.000   -0.525   -0.458
    SocDes5_20|t1    -1.300    0.037  -35.218    0.000   -1.300   -1.233
    SocDes6_20|t1    -0.366    0.029  -12.629    0.000   -0.366   -0.319
    SocDes7_20|t1     0.142    0.028    5.152    0.000    0.142    0.126
    SocDes8_20|t1    -1.029    0.033  -31.448    0.000   -1.029   -0.977
    SocDes9_20|t1    -0.134    0.029   -4.610    0.000   -0.134   -0.113
    SocDes10_20|t1    0.518    0.029   17.876    0.000    0.518    0.466
    SocDes1_21|t1    -0.981    0.032  -30.609    0.000   -0.981   -0.925
    SocDes2_21|t1     0.412    0.029   14.307    0.000    0.412    0.365
    SocDes3_21|t1    -0.666    0.030  -22.152    0.000   -0.666   -0.603
    SocDes4_21|t1    -0.546    0.032  -17.194    0.000   -0.546   -0.458
    SocDes5_21|t1    -1.382    0.039  -35.595    0.000   -1.382   -1.310
    SocDes6_21|t1    -0.414    0.029  -14.423    0.000   -0.414   -0.367
    SocDes7_21|t1     0.068    0.027    2.486    0.013    0.068    0.061
    SocDes8_21|t1    -1.051    0.033  -32.045    0.000   -1.051   -1.005
    SocDes9_21|t1    -0.165    0.028   -5.842    0.000   -0.165   -0.143
    SocDes10_21|t1    0.453    0.029   15.676    0.000    0.453    0.404
    SocDes1_22|t1    -1.012    0.033  -30.293    0.000   -1.012   -0.940
    SocDes2_22|t1     0.418    0.029   14.501    0.000    0.418    0.371
    SocDes3_22|t1    -0.685    0.030  -22.737    0.000   -0.685   -0.623
    SocDes4_22|t1    -0.521    0.032  -16.503    0.000   -0.521   -0.436
    SocDes5_22|t1    -1.414    0.039  -35.864    0.000   -1.414   -1.337
    SocDes6_22|t1    -0.432    0.029  -15.111    0.000   -0.432   -0.385
    SocDes7_22|t1     0.013    0.028    0.466    0.641    0.013    0.011
    SocDes8_22|t1    -1.058    0.032  -32.821    0.000   -1.058   -1.019
    SocDes9_22|t1    -0.216    0.029   -7.554    0.000   -0.216   -0.187
    SocDes10_22|t1    0.467    0.029   16.226    0.000    0.467    0.418
    SocDes1_23|t1    -0.979    0.032  -30.752    0.000   -0.979   -0.922
    SocDes2_23|t1     0.451    0.029   15.457    0.000    0.451    0.397
    SocDes3_23|t1    -0.758    0.031  -24.399    0.000   -0.758   -0.685
    SocDes4_23|t1    -0.507    0.031  -16.314    0.000   -0.507   -0.429
    SocDes5_23|t1    -1.415    0.040  -35.042    0.000   -1.415   -1.325
    SocDes6_23|t1    -0.458    0.030  -15.460    0.000   -0.458   -0.397
    SocDes7_23|t1    -0.049    0.027   -1.787    0.074   -0.049   -0.044
    SocDes8_23|t1    -1.037    0.032  -32.598    0.000   -1.037   -1.002
    SocDes9_23|t1    -0.171    0.028   -6.193    0.000   -0.171   -0.152
    SocDes10_23|t1    0.455    0.028   16.312    0.000    0.455    0.418
    SocDes1_24|t1    -0.965    0.032  -30.266    0.000   -0.965   -0.911
    SocDes2_24|t1     0.390    0.030   13.210    0.000    0.390    0.337
    SocDes3_24|t1    -0.716    0.030  -23.779    0.000   -0.716   -0.657
    SocDes4_24|t1    -0.442    0.031  -14.137    0.000   -0.442   -0.365
    SocDes5_24|t1    -1.368    0.038  -36.076    0.000   -1.368   -1.312
    SocDes6_24|t1    -0.452    0.029  -15.755    0.000   -0.452   -0.404
    SocDes7_24|t1    -0.046    0.028   -1.670    0.095   -0.046   -0.041
    SocDes8_24|t1    -0.979    0.031  -31.558    0.000   -0.979   -0.948
    SocDes9_24|t1    -0.170    0.028   -5.990    0.000   -0.170   -0.147
    SocDes10_24|t1    0.454    0.030   15.226    0.000    0.454    0.394

Variances:
                   Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
    f19               1.000                               1.000    1.000
    f20               1.000                               1.000    1.000
    f21               1.000                               1.000    1.000
    f22               1.000                               1.000    1.000
    f23               1.000                               1.000    1.000
    f24               1.000                               1.000    1.000
   .SocDes1_19        1.000                               1.000    0.856
   .SocDes2_19        1.000                               1.000    0.771
   .SocDes3_19        1.000                               1.000    0.830
   .SocDes4_19        1.000                               1.000    0.738
   .SocDes5_19        1.000                               1.000    0.917
   .SocDes6_19        1.000                               1.000    0.766
   .SocDes7_19        1.000                               1.000    0.744
   .SocDes8_19        1.000                               1.000    0.937
   .SocDes9_19        1.000                               1.000    0.761
   .SocDes10_19       1.000                               1.000    0.750
   .SocDes1_20        1.000                               1.000    0.892
   .SocDes2_20        1.000                               1.000    0.788
   .SocDes3_20        1.000                               1.000    0.828
   .SocDes4_20        1.000                               1.000    0.760
   .SocDes5_20        1.000                               1.000    0.900
   .SocDes6_20        1.000                               1.000    0.758
   .SocDes7_20        1.000                               1.000    0.786
   .SocDes8_20        1.000                               1.000    0.901
   .SocDes9_20        1.000                               1.000    0.706
   .SocDes10_20       1.000                               1.000    0.810
   .SocDes1_21        1.000                               1.000    0.890
   .SocDes2_21        1.000                               1.000    0.784
   .SocDes3_21        1.000                               1.000    0.818
   .SocDes4_21        1.000                               1.000    0.702
   .SocDes5_21        1.000                               1.000    0.898
   .SocDes6_21        1.000                               1.000    0.785
   .SocDes7_21        1.000                               1.000    0.792
   .SocDes8_21        1.000                               1.000    0.914
   .SocDes9_21        1.000                               1.000    0.756
   .SocDes10_21       1.000                               1.000    0.794
   .SocDes1_22        1.000                               1.000    0.862
   .SocDes2_22        1.000                               1.000    0.788
   .SocDes3_22        1.000                               1.000    0.827
   .SocDes4_22        1.000                               1.000    0.699
   .SocDes5_22        1.000                               1.000    0.894
   .SocDes6_22        1.000                               1.000    0.796
   .SocDes7_22        1.000                               1.000    0.777
   .SocDes8_22        1.000                               1.000    0.929
   .SocDes9_22        1.000                               1.000    0.748
   .SocDes10_22       1.000                               1.000    0.801
   .SocDes1_23        1.000                               1.000    0.886
   .SocDes2_23        1.000                               1.000    0.776
   .SocDes3_23        1.000                               1.000    0.818
   .SocDes4_23        1.000                               1.000    0.717
   .SocDes5_23        1.000                               1.000    0.877
   .SocDes6_23        1.000                               1.000    0.753
   .SocDes7_23        1.000                               1.000    0.804
   .SocDes8_23        1.000                               1.000    0.933
   .SocDes9_23        1.000                               1.000    0.790
   .SocDes10_23       1.000                               1.000    0.843
   .SocDes1_24        1.000                               1.000    0.890
   .SocDes2_24        1.000                               1.000    0.744
   .SocDes3_24        1.000                               1.000    0.841
   .SocDes4_24        1.000                               1.000    0.682
   .SocDes5_24        1.000                               1.000    0.920
   .SocDes6_24        1.000                               1.000    0.795
   .SocDes7_24        1.000                               1.000    0.773
   .SocDes8_24        1.000                               1.000    0.938
   .SocDes9_24        1.000                               1.000    0.749
   .SocDes10_24       1.000                               1.000    0.755

Scales y*:
                   Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
    SocDes1_19        0.925                               0.925    1.000
    SocDes2_19        0.878                               0.878    1.000
    SocDes3_19        0.911                               0.911    1.000
    SocDes4_19        0.859                               0.859    1.000
    SocDes5_19        0.958                               0.958    1.000
    SocDes6_19        0.875                               0.875    1.000
    SocDes7_19        0.863                               0.863    1.000
    SocDes8_19        0.968                               0.968    1.000
    SocDes9_19        0.872                               0.872    1.000
    SocDes10_19       0.866                               0.866    1.000
    SocDes1_20        0.945                               0.945    1.000
    SocDes2_20        0.888                               0.888    1.000
    SocDes3_20        0.910                               0.910    1.000
    SocDes4_20        0.872                               0.872    1.000
    SocDes5_20        0.949                               0.949    1.000
    SocDes6_20        0.871                               0.871    1.000
    SocDes7_20        0.887                               0.887    1.000
    SocDes8_20        0.949                               0.949    1.000
    SocDes9_20        0.840                               0.840    1.000
    SocDes10_20       0.900                               0.900    1.000
    SocDes1_21        0.943                               0.943    1.000
    SocDes2_21        0.885                               0.885    1.000
    SocDes3_21        0.904                               0.904    1.000
    SocDes4_21        0.838                               0.838    1.000
    SocDes5_21        0.948                               0.948    1.000
    SocDes6_21        0.886                               0.886    1.000
    SocDes7_21        0.890                               0.890    1.000
    SocDes8_21        0.956                               0.956    1.000
    SocDes9_21        0.869                               0.869    1.000
    SocDes10_21       0.891                               0.891    1.000
    SocDes1_22        0.929                               0.929    1.000
    SocDes2_22        0.888                               0.888    1.000
    SocDes3_22        0.909                               0.909    1.000
    SocDes4_22        0.836                               0.836    1.000
    SocDes5_22        0.946                               0.946    1.000
    SocDes6_22        0.892                               0.892    1.000
    SocDes7_22        0.881                               0.881    1.000
    SocDes8_22        0.964                               0.964    1.000
    SocDes9_22        0.865                               0.865    1.000
    SocDes10_22       0.895                               0.895    1.000
    SocDes1_23        0.941                               0.941    1.000
    SocDes2_23        0.881                               0.881    1.000
    SocDes3_23        0.905                               0.905    1.000
    SocDes4_23        0.847                               0.847    1.000
    SocDes5_23        0.937                               0.937    1.000
    SocDes6_23        0.868                               0.868    1.000
    SocDes7_23        0.896                               0.896    1.000
    SocDes8_23        0.966                               0.966    1.000
    SocDes9_23        0.889                               0.889    1.000
    SocDes10_23       0.918                               0.918    1.000
    SocDes1_24        0.943                               0.943    1.000
    SocDes2_24        0.862                               0.862    1.000
    SocDes3_24        0.917                               0.917    1.000
    SocDes4_24        0.826                               0.826    1.000
    SocDes5_24        0.959                               0.959    1.000
    SocDes6_24        0.892                               0.892    1.000
    SocDes7_24        0.879                               0.879    1.000
    SocDes8_24        0.969                               0.969    1.000
    SocDes9_24        0.865                               0.865    1.000
    SocDes10_24       0.869                               0.869    1.000

Thresholds/loadings Invariance

summary(fit_MI_thr_load, fit.measures = TRUE, standardized = TRUE)
lavaan 0.6-21 ended normally after 39 iterations

  Estimator                                       DWLS
  Optimization method                           NLMINB
  Number of model parameters                       290
  Number of equality constraints                   100

  Number of observations                          2648

Model Test User Model:
                                              Standard      Scaled
  Test Statistic                              6608.100    4531.850
  Degrees of freedom                              1640        1640
  P-value (Unknown)                                 NA       0.000
  Scaling correction factor                                  1.801
  Shift parameter                                          862.665
    simple second-order correction                                

Model Test Baseline Model:

  Test statistic                            252838.579   93417.408
  Degrees of freedom                              1770        1770
  P-value                                           NA       0.000
  Scaling correction factor                                  2.740

User Model versus Baseline Model:

  Comparative Fit Index (CFI)                    0.980       0.968
  Tucker-Lewis Index (TLI)                       0.979       0.966
                                                                  
  Robust Comparative Fit Index (CFI)                            NA
  Robust Tucker-Lewis Index (TLI)                               NA

Root Mean Square Error of Approximation:

  RMSEA                                          0.034       0.026
  90 Percent confidence interval - lower         0.033       0.025
  90 Percent confidence interval - upper         0.035       0.027
  P-value H_0: RMSEA <= 0.050                    1.000       1.000
  P-value H_0: RMSEA >= 0.080                    0.000       0.000
                                                                  
  Robust RMSEA                                                  NA
  90 Percent confidence interval - lower                        NA
  90 Percent confidence interval - upper                        NA
  P-value H_0: Robust RMSEA <= 0.050                            NA
  P-value H_0: Robust RMSEA >= 0.080                            NA

Standardized Root Mean Square Residual:

  SRMR                                           0.068       0.068

Parameter Estimates:

  Parameterization                               Theta
  Standard errors                           Robust.sem
  Information                                 Expected
  Information saturated (h1) model        Unstructured

Latent Variables:
                   Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
  f19 =~                                                                
    ScDs1_19  (l1)    0.370    0.030   12.517    0.000    0.370    0.347
    ScDs2_19  (l2)    0.538    0.030   18.053    0.000    0.538    0.474
    ScDs3_19  (l3)    0.457    0.027   16.635    0.000    0.457    0.416
    ScDs4_19  (l4)    0.627    0.035   18.107    0.000    0.627    0.531
    ScDs5_19  (l5)    0.331    0.031   10.750    0.000    0.331    0.314
    ScDs6_19  (l6)    0.540    0.030   18.237    0.000    0.540    0.475
    ScDs7_19  (l7)    0.532    0.029   18.249    0.000    0.532    0.470
    ScDs8_19  (l8)    0.283    0.027   10.341    0.000    0.283    0.272
    ScDs9_19  (l9)    0.574    0.031   18.394    0.000    0.574    0.498
    ScD10_19 (l10)    0.510    0.027   18.840    0.000    0.510    0.454
  f20 =~                                                                
    ScDs1_20  (l1)    0.370    0.030   12.517    0.000    0.370    0.347
    ScDs2_20  (l2)    0.538    0.030   18.053    0.000    0.538    0.474
    ScDs3_20  (l3)    0.457    0.027   16.635    0.000    0.457    0.416
    ScDs4_20  (l4)    0.627    0.035   18.107    0.000    0.627    0.531
    ScDs5_20  (l5)    0.331    0.031   10.750    0.000    0.331    0.314
    ScDs6_20  (l6)    0.540    0.030   18.237    0.000    0.540    0.475
    ScDs7_20  (l7)    0.532    0.029   18.249    0.000    0.532    0.470
    ScDs8_20  (l8)    0.283    0.027   10.341    0.000    0.283    0.272
    ScDs9_20  (l9)    0.574    0.031   18.394    0.000    0.574    0.498
    ScD10_20 (l10)    0.510    0.027   18.840    0.000    0.510    0.454
  f21 =~                                                                
    ScDs1_21  (l1)    0.370    0.030   12.517    0.000    0.370    0.347
    ScDs2_21  (l2)    0.538    0.030   18.053    0.000    0.538    0.474
    ScDs3_21  (l3)    0.457    0.027   16.635    0.000    0.457    0.416
    ScDs4_21  (l4)    0.627    0.035   18.107    0.000    0.627    0.531
    ScDs5_21  (l5)    0.331    0.031   10.750    0.000    0.331    0.314
    ScDs6_21  (l6)    0.540    0.030   18.237    0.000    0.540    0.475
    ScDs7_21  (l7)    0.532    0.029   18.249    0.000    0.532    0.470
    ScDs8_21  (l8)    0.283    0.027   10.341    0.000    0.283    0.272
    ScDs9_21  (l9)    0.574    0.031   18.394    0.000    0.574    0.498
    ScD10_21 (l10)    0.510    0.027   18.840    0.000    0.510    0.454
  f22 =~                                                                
    ScDs1_22  (l1)    0.370    0.030   12.517    0.000    0.370    0.347
    ScDs2_22  (l2)    0.538    0.030   18.053    0.000    0.538    0.474
    ScDs3_22  (l3)    0.457    0.027   16.635    0.000    0.457    0.416
    ScDs4_22  (l4)    0.627    0.035   18.107    0.000    0.627    0.531
    ScDs5_22  (l5)    0.331    0.031   10.750    0.000    0.331    0.314
    ScDs6_22  (l6)    0.540    0.030   18.237    0.000    0.540    0.475
    ScDs7_22  (l7)    0.532    0.029   18.249    0.000    0.532    0.470
    ScDs8_22  (l8)    0.283    0.027   10.341    0.000    0.283    0.272
    ScDs9_22  (l9)    0.574    0.031   18.394    0.000    0.574    0.498
    ScD10_22 (l10)    0.510    0.027   18.840    0.000    0.510    0.454
  f23 =~                                                                
    ScDs1_23  (l1)    0.370    0.030   12.517    0.000    0.370    0.347
    ScDs2_23  (l2)    0.538    0.030   18.053    0.000    0.538    0.474
    ScDs3_23  (l3)    0.457    0.027   16.635    0.000    0.457    0.416
    ScDs4_23  (l4)    0.627    0.035   18.107    0.000    0.627    0.531
    ScDs5_23  (l5)    0.331    0.031   10.750    0.000    0.331    0.314
    ScDs6_23  (l6)    0.540    0.030   18.237    0.000    0.540    0.475
    ScDs7_23  (l7)    0.532    0.029   18.249    0.000    0.532    0.470
    ScDs8_23  (l8)    0.283    0.027   10.341    0.000    0.283    0.272
    ScDs9_23  (l9)    0.574    0.031   18.394    0.000    0.574    0.498
    ScD10_23 (l10)    0.510    0.027   18.840    0.000    0.510    0.454
  f24 =~                                                                
    ScDs1_24  (l1)    0.370    0.030   12.517    0.000    0.370    0.347
    ScDs2_24  (l2)    0.538    0.030   18.053    0.000    0.538    0.474
    ScDs3_24  (l3)    0.457    0.027   16.635    0.000    0.457    0.416
    ScDs4_24  (l4)    0.627    0.035   18.107    0.000    0.627    0.531
    ScDs5_24  (l5)    0.331    0.031   10.750    0.000    0.331    0.314
    ScDs6_24  (l6)    0.540    0.030   18.237    0.000    0.540    0.475
    ScDs7_24  (l7)    0.532    0.029   18.249    0.000    0.532    0.470
    ScDs8_24  (l8)    0.283    0.027   10.341    0.000    0.283    0.272
    ScDs9_24  (l9)    0.574    0.031   18.394    0.000    0.574    0.498
    ScD10_24 (l10)    0.510    0.027   18.840    0.000    0.510    0.454

Covariances:
                   Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
  f19 ~~                                                                
    f20               0.942    0.022   41.916    0.000    0.942    0.942
    f21               0.939    0.022   42.206    0.000    0.939    0.939
    f22               0.899    0.022   41.119    0.000    0.899    0.899
    f23               0.893    0.022   40.870    0.000    0.893    0.893
    f24               0.909    0.023   39.953    0.000    0.909    0.909
  f20 ~~                                                                
    f21               0.910    0.022   41.273    0.000    0.910    0.910
    f22               0.892    0.022   41.084    0.000    0.892    0.892
    f23               0.902    0.021   42.972    0.000    0.902    0.902
    f24               0.910    0.022   42.151    0.000    0.910    0.910
  f21 ~~                                                                
    f22               0.923    0.021   42.923    0.000    0.923    0.923
    f23               0.930    0.020   45.606    0.000    0.930    0.930
    f24               0.925    0.021   43.240    0.000    0.925    0.925
  f22 ~~                                                                
    f23               0.935    0.021   43.687    0.000    0.935    0.935
    f24               0.947    0.022   43.647    0.000    0.947    0.947
  f23 ~~                                                                
    f24               0.920    0.022   42.630    0.000    0.920    0.920
 .SocDes1_19 ~~                                                         
   .SocDes1_20        0.678    0.026   26.457    0.000    0.678    0.678
   .SocDes1_21        0.633    0.028   22.486    0.000    0.633    0.633
   .SocDes1_22        0.679    0.027   25.575    0.000    0.679    0.679
   .SocDes1_23        0.647    0.028   23.105    0.000    0.647    0.647
   .SocDes1_24        0.657    0.027   23.986    0.000    0.657    0.657
 .SocDes1_20 ~~                                                         
   .SocDes1_21        0.696    0.025   27.434    0.000    0.696    0.696
   .SocDes1_22        0.678    0.027   25.558    0.000    0.678    0.678
   .SocDes1_23        0.643    0.028   22.908    0.000    0.643    0.643
   .SocDes1_24        0.641    0.028   22.916    0.000    0.641    0.641
 .SocDes1_21 ~~                                                         
   .SocDes1_22        0.688    0.026   26.112    0.000    0.688    0.688
   .SocDes1_23        0.714    0.025   28.627    0.000    0.714    0.714
   .SocDes1_24        0.659    0.028   23.868    0.000    0.659    0.659
 .SocDes1_22 ~~                                                         
   .SocDes1_23        0.730    0.024   30.232    0.000    0.730    0.730
   .SocDes1_24        0.720    0.025   29.242    0.000    0.720    0.720
 .SocDes1_23 ~~                                                         
   .SocDes1_24        0.725    0.024   29.707    0.000    0.725    0.725
 .SocDes2_19 ~~                                                         
   .SocDes2_20        0.715    0.022   32.030    0.000    0.715    0.715
   .SocDes2_21        0.694    0.023   30.205    0.000    0.694    0.694
   .SocDes2_22        0.655    0.025   26.315    0.000    0.655    0.655
   .SocDes2_23        0.710    0.023   30.920    0.000    0.710    0.710
   .SocDes2_24        0.642    0.025   25.540    0.000    0.642    0.642
 .SocDes2_20 ~~                                                         
   .SocDes2_21        0.743    0.021   34.842    0.000    0.743    0.743
   .SocDes2_22        0.707    0.023   30.418    0.000    0.707    0.707
   .SocDes2_23        0.697    0.023   29.854    0.000    0.697    0.697
   .SocDes2_24        0.742    0.021   34.792    0.000    0.742    0.742
 .SocDes2_21 ~~                                                         
   .SocDes2_22        0.682    0.023   29.096    0.000    0.682    0.682
   .SocDes2_23        0.729    0.022   33.803    0.000    0.729    0.729
   .SocDes2_24        0.654    0.025   26.679    0.000    0.654    0.654
 .SocDes2_22 ~~                                                         
   .SocDes2_23        0.667    0.024   27.677    0.000    0.667    0.667
   .SocDes2_24        0.697    0.023   30.604    0.000    0.697    0.697
 .SocDes2_23 ~~                                                         
   .SocDes2_24        0.718    0.022   32.475    0.000    0.718    0.718
 .SocDes3_19 ~~                                                         
   .SocDes3_20        0.545    0.029   18.643    0.000    0.545    0.545
   .SocDes3_21        0.564    0.028   19.823    0.000    0.564    0.564
   .SocDes3_22        0.555    0.029   19.166    0.000    0.555    0.555
   .SocDes3_23        0.501    0.031   16.044    0.000    0.501    0.501
   .SocDes3_24        0.521    0.030   17.133    0.000    0.521    0.521
 .SocDes3_20 ~~                                                         
   .SocDes3_21        0.595    0.027   21.827    0.000    0.595    0.595
   .SocDes3_22        0.602    0.027   22.139    0.000    0.602    0.602
   .SocDes3_23        0.575    0.028   20.194    0.000    0.575    0.575
   .SocDes3_24        0.598    0.028   21.700    0.000    0.598    0.598
 .SocDes3_21 ~~                                                         
   .SocDes3_22        0.582    0.028   20.877    0.000    0.582    0.582
   .SocDes3_23        0.581    0.028   20.597    0.000    0.581    0.581
   .SocDes3_24        0.574    0.028   20.244    0.000    0.574    0.574
 .SocDes3_22 ~~                                                         
   .SocDes3_23        0.558    0.029   19.059    0.000    0.558    0.558
   .SocDes3_24        0.594    0.028   21.341    0.000    0.594    0.594
 .SocDes3_23 ~~                                                         
   .SocDes3_24        0.594    0.028   21.236    0.000    0.594    0.594
 .SocDes4_19 ~~                                                         
   .SocDes4_20        0.740    0.023   32.145    0.000    0.740    0.740
   .SocDes4_21        0.721    0.024   30.460    0.000    0.721    0.721
   .SocDes4_22        0.708    0.025   28.552    0.000    0.708    0.708
   .SocDes4_23        0.717    0.025   29.147    0.000    0.717    0.717
   .SocDes4_24        0.715    0.024   29.717    0.000    0.715    0.715
 .SocDes4_20 ~~                                                         
   .SocDes4_21        0.753    0.023   33.416    0.000    0.753    0.753
   .SocDes4_22        0.782    0.022   36.271    0.000    0.782    0.782
   .SocDes4_23        0.743    0.023   31.876    0.000    0.743    0.743
   .SocDes4_24        0.727    0.023   31.088    0.000    0.727    0.727
 .SocDes4_21 ~~                                                         
   .SocDes4_22        0.795    0.021   38.629    0.000    0.795    0.795
   .SocDes4_23        0.759    0.022   34.337    0.000    0.759    0.759
   .SocDes4_24        0.757    0.022   34.366    0.000    0.757    0.757
 .SocDes4_22 ~~                                                         
   .SocDes4_23        0.773    0.022   35.879    0.000    0.773    0.773
   .SocDes4_24        0.769    0.021   36.579    0.000    0.769    0.769
 .SocDes4_23 ~~                                                         
   .SocDes4_24        0.780    0.021   37.058    0.000    0.780    0.780
 .SocDes5_19 ~~                                                         
   .SocDes5_20        0.649    0.033   19.669    0.000    0.649    0.649
   .SocDes5_21        0.634    0.035   18.099    0.000    0.634    0.634
   .SocDes5_22        0.605    0.037   16.222    0.000    0.605    0.605
   .SocDes5_23        0.651    0.034   18.897    0.000    0.651    0.651
   .SocDes5_24        0.520    0.041   12.693    0.000    0.520    0.520
 .SocDes5_20 ~~                                                         
   .SocDes5_21        0.645    0.034   18.917    0.000    0.645    0.645
   .SocDes5_22        0.562    0.039   14.221    0.000    0.562    0.562
   .SocDes5_23        0.702    0.031   22.450    0.000    0.702    0.702
   .SocDes5_24        0.641    0.035   18.493    0.000    0.641    0.641
 .SocDes5_21 ~~                                                         
   .SocDes5_22        0.586    0.039   14.964    0.000    0.586    0.586
   .SocDes5_23        0.673    0.034   19.968    0.000    0.673    0.673
   .SocDes5_24        0.632    0.036   17.537    0.000    0.632    0.632
 .SocDes5_22 ~~                                                         
   .SocDes5_23        0.664    0.035   19.141    0.000    0.664    0.664
   .SocDes5_24        0.637    0.036   17.604    0.000    0.637    0.637
 .SocDes5_23 ~~                                                         
   .SocDes5_24        0.716    0.031   23.069    0.000    0.716    0.716
 .SocDes6_19 ~~                                                         
   .SocDes6_20        0.663    0.025   27.027    0.000    0.663    0.663
   .SocDes6_21        0.679    0.024   28.561    0.000    0.679    0.679
   .SocDes6_22        0.639    0.026   24.786    0.000    0.639    0.639
   .SocDes6_23        0.658    0.025   26.247    0.000    0.658    0.658
   .SocDes6_24        0.617    0.027   23.114    0.000    0.617    0.617
 .SocDes6_20 ~~                                                         
   .SocDes6_21        0.697    0.023   30.020    0.000    0.697    0.697
   .SocDes6_22        0.651    0.025   25.665    0.000    0.651    0.651
   .SocDes6_23        0.687    0.024   28.710    0.000    0.687    0.687
   .SocDes6_24        0.638    0.026   24.784    0.000    0.638    0.638
 .SocDes6_21 ~~                                                         
   .SocDes6_22        0.704    0.023   30.657    0.000    0.704    0.704
   .SocDes6_23        0.681    0.024   28.576    0.000    0.681    0.681
   .SocDes6_24        0.661    0.025   26.601    0.000    0.661    0.661
 .SocDes6_22 ~~                                                         
   .SocDes6_23        0.718    0.022   32.047    0.000    0.718    0.718
   .SocDes6_24        0.699    0.023   30.280    0.000    0.699    0.699
 .SocDes6_23 ~~                                                         
   .SocDes6_24        0.701    0.023   30.187    0.000    0.701    0.701
 .SocDes7_19 ~~                                                         
   .SocDes7_20        0.669    0.023   28.847    0.000    0.669    0.669
   .SocDes7_21        0.651    0.024   27.317    0.000    0.651    0.651
   .SocDes7_22        0.625    0.025   24.990    0.000    0.625    0.625
   .SocDes7_23        0.614    0.025   24.212    0.000    0.614    0.614
   .SocDes7_24        0.567    0.027   21.087    0.000    0.567    0.567
 .SocDes7_20 ~~                                                         
   .SocDes7_21        0.702    0.022   31.566    0.000    0.702    0.702
   .SocDes7_22        0.666    0.024   28.048    0.000    0.666    0.666
   .SocDes7_23        0.637    0.025   25.463    0.000    0.637    0.637
   .SocDes7_24        0.629    0.025   25.050    0.000    0.629    0.629
 .SocDes7_21 ~~                                                         
   .SocDes7_22        0.679    0.023   29.543    0.000    0.679    0.679
   .SocDes7_23        0.667    0.023   28.445    0.000    0.667    0.667
   .SocDes7_24        0.673    0.023   28.928    0.000    0.673    0.673
 .SocDes7_22 ~~                                                         
   .SocDes7_23        0.702    0.022   31.797    0.000    0.702    0.702
   .SocDes7_24        0.646    0.024   26.858    0.000    0.646    0.646
 .SocDes7_23 ~~                                                         
   .SocDes7_24        0.702    0.022   31.685    0.000    0.702    0.702
 .SocDes8_19 ~~                                                         
   .SocDes8_20        0.480    0.035   13.691    0.000    0.480    0.480
   .SocDes8_21        0.514    0.034   14.995    0.000    0.514    0.514
   .SocDes8_22        0.536    0.034   15.899    0.000    0.536    0.536
   .SocDes8_23        0.423    0.037   11.306    0.000    0.423    0.423
   .SocDes8_24        0.435    0.037   11.833    0.000    0.435    0.435
 .SocDes8_20 ~~                                                         
   .SocDes8_21        0.561    0.032   17.621    0.000    0.561    0.561
   .SocDes8_22        0.506    0.034   14.854    0.000    0.506    0.506
   .SocDes8_23        0.508    0.034   14.894    0.000    0.508    0.508
   .SocDes8_24        0.506    0.034   15.032    0.000    0.506    0.506
 .SocDes8_21 ~~                                                         
   .SocDes8_22        0.504    0.035   14.543    0.000    0.504    0.504
   .SocDes8_23        0.535    0.033   16.093    0.000    0.535    0.535
   .SocDes8_24        0.495    0.034   14.476    0.000    0.495    0.495
 .SocDes8_22 ~~                                                         
   .SocDes8_23        0.496    0.035   14.318    0.000    0.496    0.496
   .SocDes8_24        0.437    0.036   12.049    0.000    0.437    0.437
 .SocDes8_23 ~~                                                         
   .SocDes8_24        0.513    0.034   15.259    0.000    0.513    0.513
 .SocDes9_19 ~~                                                         
   .SocDes9_20        0.764    0.020   38.742    0.000    0.764    0.764
   .SocDes9_21        0.745    0.021   35.048    0.000    0.745    0.745
   .SocDes9_22        0.741    0.022   34.362    0.000    0.741    0.741
   .SocDes9_23        0.738    0.022   33.914    0.000    0.738    0.738
   .SocDes9_24        0.715    0.022   31.878    0.000    0.715    0.715
 .SocDes9_20 ~~                                                         
   .SocDes9_21        0.777    0.020   39.447    0.000    0.777    0.777
   .SocDes9_22        0.786    0.020   39.880    0.000    0.786    0.786
   .SocDes9_23        0.732    0.022   33.769    0.000    0.732    0.732
   .SocDes9_24        0.731    0.022   33.811    0.000    0.731    0.731
 .SocDes9_21 ~~                                                         
   .SocDes9_22        0.768    0.020   38.220    0.000    0.768    0.768
   .SocDes9_23        0.762    0.020   37.918    0.000    0.762    0.762
   .SocDes9_24        0.750    0.021   36.006    0.000    0.750    0.750
 .SocDes9_22 ~~                                                         
   .SocDes9_23        0.777    0.020   39.708    0.000    0.777    0.777
   .SocDes9_24        0.741    0.021   35.080    0.000    0.741    0.741
 .SocDes9_23 ~~                                                         
   .SocDes9_24        0.786    0.019   40.839    0.000    0.786    0.786
 .SocDes10_19 ~~                                                        
   .SocDes10_20       0.530    0.029   18.202    0.000    0.530    0.530
   .SocDes10_21       0.506    0.030   17.008    0.000    0.506    0.506
   .SocDes10_22       0.516    0.029   17.504    0.000    0.516    0.516
   .SocDes10_23       0.520    0.029   17.758    0.000    0.520    0.520
   .SocDes10_24       0.447    0.031   14.295    0.000    0.447    0.447
 .SocDes10_20 ~~                                                        
   .SocDes10_21       0.577    0.028   20.928    0.000    0.577    0.577
   .SocDes10_22       0.541    0.029   18.648    0.000    0.541    0.541
   .SocDes10_23       0.543    0.029   18.813    0.000    0.543    0.543
   .SocDes10_24       0.504    0.030   16.851    0.000    0.504    0.504
 .SocDes10_21 ~~                                                        
   .SocDes10_22       0.539    0.029   18.742    0.000    0.539    0.539
   .SocDes10_23       0.522    0.029   17.798    0.000    0.522    0.522
   .SocDes10_24       0.529    0.029   18.365    0.000    0.529    0.529
 .SocDes10_22 ~~                                                        
   .SocDes10_23       0.609    0.026   23.102    0.000    0.609    0.609
   .SocDes10_24       0.523    0.029   18.287    0.000    0.523    0.523
 .SocDes10_23 ~~                                                        
   .SocDes10_24       0.602    0.026   22.785    0.000    0.602    0.602

Intercepts:
                   Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
    f19               0.000                               0.000    0.000
    f20              -0.067    0.020   -3.372    0.001   -0.067   -0.067
    f21               0.032    0.020    1.599    0.110    0.032    0.032
    f22               0.062    0.021    2.942    0.003    0.062    0.062
    f23               0.069    0.021    3.330    0.001    0.069    0.069
    f24               0.056    0.021    2.642    0.008    0.056    0.056

Thresholds:
                   Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
    ScDs1_19|1 (a)   -0.941    0.024  -39.622    0.000   -0.941   -0.883
    ScDs1_20|1 (a)   -0.941    0.024  -39.622    0.000   -0.941   -0.883
    ScDs1_21|1 (a)   -0.941    0.024  -39.622    0.000   -0.941   -0.883
    ScDs1_22|1 (a)   -0.941    0.024  -39.622    0.000   -0.941   -0.883
    ScDs1_23|1 (a)   -0.941    0.024  -39.622    0.000   -0.941   -0.883
    ScDs1_24|1 (a)   -0.941    0.024  -39.622    0.000   -0.941   -0.883
    ScDs2_19|1 (b)    0.441    0.024   18.632    0.000    0.441    0.388
    ScDs2_20|1 (b)    0.441    0.024   18.632    0.000    0.441    0.388
    ScDs2_21|1 (b)    0.441    0.024   18.632    0.000    0.441    0.388
    ScDs2_22|1 (b)    0.441    0.024   18.632    0.000    0.441    0.388
    ScDs2_23|1 (b)    0.441    0.024   18.632    0.000    0.441    0.388
    ScDs2_24|1 (b)    0.441    0.024   18.632    0.000    0.441    0.388
    ScDs3_19|1 (c)   -0.678    0.022  -31.313    0.000   -0.678   -0.617
    ScDs3_20|1 (c)   -0.678    0.022  -31.313    0.000   -0.678   -0.617
    ScDs3_21|1 (c)   -0.678    0.022  -31.313    0.000   -0.678   -0.617
    ScDs3_22|1 (c)   -0.678    0.022  -31.313    0.000   -0.678   -0.617
    ScDs3_23|1 (c)   -0.678    0.022  -31.313    0.000   -0.678   -0.617
    ScDs3_24|1 (c)   -0.678    0.022  -31.313    0.000   -0.678   -0.617
    ScDs4_19|1 (d)   -0.498    0.026  -19.117    0.000   -0.498   -0.422
    ScDs4_20|1 (d)   -0.498    0.026  -19.117    0.000   -0.498   -0.422
    ScDs4_21|1 (d)   -0.498    0.026  -19.117    0.000   -0.498   -0.422
    ScDs4_22|1 (d)   -0.498    0.026  -19.117    0.000   -0.498   -0.422
    ScDs4_23|1 (d)   -0.498    0.026  -19.117    0.000   -0.498   -0.422
    ScDs4_24|1 (d)   -0.498    0.026  -19.117    0.000   -0.498   -0.422
    ScDs5_19|1 (e)   -1.350    0.025  -53.272    0.000   -1.350   -1.282
    ScDs5_20|1 (e)   -1.350    0.025  -53.272    0.000   -1.350   -1.282
    ScDs5_21|1 (e)   -1.350    0.025  -53.272    0.000   -1.350   -1.282
    ScDs5_22|1 (e)   -1.350    0.025  -53.272    0.000   -1.350   -1.282
    ScDs5_23|1 (e)   -1.350    0.025  -53.272    0.000   -1.350   -1.282
    ScDs5_24|1 (e)   -1.350    0.025  -53.272    0.000   -1.350   -1.282
    ScDs6_19|1 (f)   -0.408    0.023  -17.587    0.000   -0.408   -0.359
    ScDs6_20|1 (f)   -0.408    0.023  -17.587    0.000   -0.408   -0.359
    ScDs6_21|1 (f)   -0.408    0.023  -17.587    0.000   -0.408   -0.359
    ScDs6_22|1 (f)   -0.408    0.023  -17.587    0.000   -0.408   -0.359
    ScDs6_23|1 (f)   -0.408    0.023  -17.587    0.000   -0.408   -0.359
    ScDs6_24|1 (f)   -0.408    0.023  -17.587    0.000   -0.408   -0.359
    ScDs7_19|1 (g)    0.043    0.022    1.927    0.054    0.043    0.038
    ScDs7_20|1 (g)    0.043    0.022    1.927    0.054    0.043    0.038
    ScDs7_21|1 (g)    0.043    0.022    1.927    0.054    0.043    0.038
    ScDs7_22|1 (g)    0.043    0.022    1.927    0.054    0.043    0.038
    ScDs7_23|1 (g)    0.043    0.022    1.927    0.054    0.043    0.038
    ScDs7_24|1 (g)    0.043    0.022    1.927    0.054    0.043    0.038
    ScDs8_19|1 (h)   -1.026    0.020  -51.095    0.000   -1.026   -0.987
    ScDs8_20|1 (h)   -1.026    0.020  -51.095    0.000   -1.026   -0.987
    ScDs8_21|1 (h)   -1.026    0.020  -51.095    0.000   -1.026   -0.987
    ScDs8_22|1 (h)   -1.026    0.020  -51.095    0.000   -1.026   -0.987
    ScDs8_23|1 (h)   -1.026    0.020  -51.095    0.000   -1.026   -0.987
    ScDs8_24|1 (h)   -1.026    0.020  -51.095    0.000   -1.026   -0.987
    ScDs9_19|1 (i)   -0.149    0.024   -6.140    0.000   -0.149   -0.129
    ScDs9_20|1 (i)   -0.149    0.024   -6.140    0.000   -0.149   -0.129
    ScDs9_21|1 (i)   -0.149    0.024   -6.140    0.000   -0.149   -0.129
    ScDs9_22|1 (i)   -0.149    0.024   -6.140    0.000   -0.149   -0.129
    ScDs9_23|1 (i)   -0.149    0.024   -6.140    0.000   -0.149   -0.129
    ScDs9_24|1 (i)   -0.149    0.024   -6.140    0.000   -0.149   -0.129
    ScD10_19|1 (m)    0.486    0.021   22.636    0.000    0.486    0.433
    ScD10_20|1 (m)    0.486    0.021   22.636    0.000    0.486    0.433
    ScD10_21|1 (m)    0.486    0.021   22.636    0.000    0.486    0.433
    ScD10_22|1 (m)    0.486    0.021   22.636    0.000    0.486    0.433
    ScD10_23|1 (m)    0.486    0.021   22.636    0.000    0.486    0.433
    ScD10_24|1 (m)    0.486    0.021   22.636    0.000    0.486    0.433

Variances:
                   Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
    f19               1.000                               1.000    1.000
    f20               1.000                               1.000    1.000
    f21               1.000                               1.000    1.000
    f22               1.000                               1.000    1.000
    f23               1.000                               1.000    1.000
    f24               1.000                               1.000    1.000
   .SocDes1_19        1.000                               1.000    0.880
   .SocDes2_19        1.000                               1.000    0.776
   .SocDes3_19        1.000                               1.000    0.827
   .SocDes4_19        1.000                               1.000    0.718
   .SocDes5_19        1.000                               1.000    0.901
   .SocDes6_19        1.000                               1.000    0.775
   .SocDes7_19        1.000                               1.000    0.779
   .SocDes8_19        1.000                               1.000    0.926
   .SocDes9_19        1.000                               1.000    0.752
   .SocDes10_19       1.000                               1.000    0.794
   .SocDes1_20        1.000                               1.000    0.880
   .SocDes2_20        1.000                               1.000    0.776
   .SocDes3_20        1.000                               1.000    0.827
   .SocDes4_20        1.000                               1.000    0.718
   .SocDes5_20        1.000                               1.000    0.901
   .SocDes6_20        1.000                               1.000    0.775
   .SocDes7_20        1.000                               1.000    0.779
   .SocDes8_20        1.000                               1.000    0.926
   .SocDes9_20        1.000                               1.000    0.752
   .SocDes10_20       1.000                               1.000    0.794
   .SocDes1_21        1.000                               1.000    0.880
   .SocDes2_21        1.000                               1.000    0.776
   .SocDes3_21        1.000                               1.000    0.827
   .SocDes4_21        1.000                               1.000    0.718
   .SocDes5_21        1.000                               1.000    0.901
   .SocDes6_21        1.000                               1.000    0.775
   .SocDes7_21        1.000                               1.000    0.779
   .SocDes8_21        1.000                               1.000    0.926
   .SocDes9_21        1.000                               1.000    0.752
   .SocDes10_21       1.000                               1.000    0.794
   .SocDes1_22        1.000                               1.000    0.880
   .SocDes2_22        1.000                               1.000    0.776
   .SocDes3_22        1.000                               1.000    0.827
   .SocDes4_22        1.000                               1.000    0.718
   .SocDes5_22        1.000                               1.000    0.901
   .SocDes6_22        1.000                               1.000    0.775
   .SocDes7_22        1.000                               1.000    0.779
   .SocDes8_22        1.000                               1.000    0.926
   .SocDes9_22        1.000                               1.000    0.752
   .SocDes10_22       1.000                               1.000    0.794
   .SocDes1_23        1.000                               1.000    0.880
   .SocDes2_23        1.000                               1.000    0.776
   .SocDes3_23        1.000                               1.000    0.827
   .SocDes4_23        1.000                               1.000    0.718
   .SocDes5_23        1.000                               1.000    0.901
   .SocDes6_23        1.000                               1.000    0.775
   .SocDes7_23        1.000                               1.000    0.779
   .SocDes8_23        1.000                               1.000    0.926
   .SocDes9_23        1.000                               1.000    0.752
   .SocDes10_23       1.000                               1.000    0.794
   .SocDes1_24        1.000                               1.000    0.880
   .SocDes2_24        1.000                               1.000    0.776
   .SocDes3_24        1.000                               1.000    0.827
   .SocDes4_24        1.000                               1.000    0.718
   .SocDes5_24        1.000                               1.000    0.901
   .SocDes6_24        1.000                               1.000    0.775
   .SocDes7_24        1.000                               1.000    0.779
   .SocDes8_24        1.000                               1.000    0.926
   .SocDes9_24        1.000                               1.000    0.752
   .SocDes10_24       1.000                               1.000    0.794

Scales y*:
                   Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
    SocDes1_19        0.938                               0.938    1.000
    SocDes2_19        0.881                               0.881    1.000
    SocDes3_19        0.909                               0.909    1.000
    SocDes4_19        0.847                               0.847    1.000
    SocDes5_19        0.949                               0.949    1.000
    SocDes6_19        0.880                               0.880    1.000
    SocDes7_19        0.883                               0.883    1.000
    SocDes8_19        0.962                               0.962    1.000
    SocDes9_19        0.867                               0.867    1.000
    SocDes10_19       0.891                               0.891    1.000
    SocDes1_20        0.938                               0.938    1.000
    SocDes2_20        0.881                               0.881    1.000
    SocDes3_20        0.909                               0.909    1.000
    SocDes4_20        0.847                               0.847    1.000
    SocDes5_20        0.949                               0.949    1.000
    SocDes6_20        0.880                               0.880    1.000
    SocDes7_20        0.883                               0.883    1.000
    SocDes8_20        0.962                               0.962    1.000
    SocDes9_20        0.867                               0.867    1.000
    SocDes10_20       0.891                               0.891    1.000
    SocDes1_21        0.938                               0.938    1.000
    SocDes2_21        0.881                               0.881    1.000
    SocDes3_21        0.909                               0.909    1.000
    SocDes4_21        0.847                               0.847    1.000
    SocDes5_21        0.949                               0.949    1.000
    SocDes6_21        0.880                               0.880    1.000
    SocDes7_21        0.883                               0.883    1.000
    SocDes8_21        0.962                               0.962    1.000
    SocDes9_21        0.867                               0.867    1.000
    SocDes10_21       0.891                               0.891    1.000
    SocDes1_22        0.938                               0.938    1.000
    SocDes2_22        0.881                               0.881    1.000
    SocDes3_22        0.909                               0.909    1.000
    SocDes4_22        0.847                               0.847    1.000
    SocDes5_22        0.949                               0.949    1.000
    SocDes6_22        0.880                               0.880    1.000
    SocDes7_22        0.883                               0.883    1.000
    SocDes8_22        0.962                               0.962    1.000
    SocDes9_22        0.867                               0.867    1.000
    SocDes10_22       0.891                               0.891    1.000
    SocDes1_23        0.938                               0.938    1.000
    SocDes2_23        0.881                               0.881    1.000
    SocDes3_23        0.909                               0.909    1.000
    SocDes4_23        0.847                               0.847    1.000
    SocDes5_23        0.949                               0.949    1.000
    SocDes6_23        0.880                               0.880    1.000
    SocDes7_23        0.883                               0.883    1.000
    SocDes8_23        0.962                               0.962    1.000
    SocDes9_23        0.867                               0.867    1.000
    SocDes10_23       0.891                               0.891    1.000
    SocDes1_24        0.938                               0.938    1.000
    SocDes2_24        0.881                               0.881    1.000
    SocDes3_24        0.909                               0.909    1.000
    SocDes4_24        0.847                               0.847    1.000
    SocDes5_24        0.949                               0.949    1.000
    SocDes6_24        0.880                               0.880    1.000
    SocDes7_24        0.883                               0.883    1.000
    SocDes8_24        0.962                               0.962    1.000
    SocDes9_24        0.867                               0.867    1.000
    SocDes10_24       0.891                               0.891    1.000

Model Comparison

lavTestLRT(fit_MI_configural, fit_MI_thr_load)

Scaled Chi-Squared Difference Test (method = "satorra.2000")

lavaan->lavTestLRT():  
   lavaan NOTE: The "Chisq" column contains standard test statistics, not the 
   robust test that should be reported per model. A robust difference test is 
   a function of two standard (not robust) statistics.

                    Df AIC BIC  Chisq Chisq diff    RMSEA Df diff Pr(>Chisq)  
fit_MI_configural 1545         6308.4                                         
fit_MI_thr_load   1640         6608.1     127.04 0.028526      95     0.0157 *
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1