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Loading Data

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Util Value and Belonging CC

## Warning in lav_data_full(data = data, group = group, cluster = cluster, : lavaan WARNING: some cases are empty and will be ignored:
##   320 617 968 1056
## lavaan 0.6-6 ended normally after 73 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         56
##                                                       
##                                                   Used       Total
##   Number of observations                          1956        1960
##   Number of clusters [id]                         1960            
##   Number of missing patterns                        48            
##                                                                   
## Model Test User Model:
##                                                Standard      Robust
##   Test Statistic                                514.080     452.027
##   Degrees of freedom                                 79          79
##   P-value (Chi-square)                            0.000       0.000
##   Scaling correction factor                                   1.137
##        Yuan-Bentler correction (Mplus variant)                     
## 
## Model Test Baseline Model:
## 
##   Test statistic                             10004.298    7917.842
##   Degrees of freedom                               105         105
##   P-value                                        0.000       0.000
##   Scaling correction factor                                  1.264
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    0.956       0.952
##   Tucker-Lewis Index (TLI)                       0.942       0.937
##                                                                   
##   Robust Comparative Fit Index (CFI)                         0.957
##   Robust Tucker-Lewis Index (TLI)                            0.943
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -40488.545  -40488.545
##   Scaling correction factor                                  1.302
##       for the MLR correction                                      
##   Loglikelihood unrestricted model (H1)     -40231.505  -40231.505
##   Scaling correction factor                                  1.206
##       for the MLR correction                                      
##                                                                   
##   Akaike (AIC)                               81089.090   81089.090
##   Bayesian (BIC)                             81401.495   81401.495
##   Sample-size adjusted Bayesian (BIC)        81223.581   81223.581
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.053       0.049
##   90 Percent confidence interval - lower         0.049       0.045
##   90 Percent confidence interval - upper         0.057       0.053
##   P-value RMSEA <= 0.05                          0.120       0.627
##                                                                   
##   Robust RMSEA                                               0.052
##   90 Percent confidence interval - lower                     0.048
##   90 Percent confidence interval - upper                     0.057
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.034       0.034
## 
## Parameter Estimates:
## 
##   Standard errors                        Robust.cluster
##   Information                                  Observed
##   Observed information based on                 Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   util_1 =~                                                             
##     util4w1           1.000                               0.610    0.638
##     util5w1           0.942    0.057   16.598    0.000    0.574    0.601
##     util6w1           1.096    0.075   14.670    0.000    0.668    0.533
##   util_2 =~                                                             
##     util4w2           1.000                               0.856    0.723
##     util5w2           0.864    0.037   23.112    0.000    0.740    0.677
##     util6w2           0.917    0.047   19.414    0.000    0.785    0.626
##   util_3 =~                                                             
##     util4w3           1.000                               1.024    0.773
##     util5w3           0.952    0.034   27.652    0.000    0.975    0.791
##     util6w3           0.836    0.044   18.833    0.000    0.856    0.664
##   sb_cc_1 =~                                                            
##     sbcc1w1           1.000                               1.459    0.869
##     sbcc2w1           0.964    0.031   31.031    0.000    1.407    0.843
##   sb_cc_2 =~                                                            
##     sbcc1w2           1.000                               1.474    0.848
##     sbcc2w2           1.001    0.028   35.444    0.000    1.476    0.839
##   sb_cc_3 =~                                                            
##     sbcc1w3           1.000                               1.474    0.848
##     sbcc2w3           1.017    0.033   31.034    0.000    1.500    0.870
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   util_2 ~                                                              
##     util_1            1.002    0.063   15.832    0.000    0.714    0.714
##     sb_cc_1          -0.008    0.019   -0.397    0.691   -0.013   -0.013
##   sb_cc_2 ~                                                             
##     util_1            0.016    0.069    0.230    0.818    0.007    0.007
##     sb_cc_1           0.699    0.030   23.303    0.000    0.692    0.692
##   util_3 ~                                                              
##     util_2            0.802    0.049   16.360    0.000    0.671    0.671
##     sb_cc_2           0.078    0.022    3.578    0.000    0.112    0.112
##   sb_cc_3 ~                                                             
##     util_2            0.088    0.055    1.614    0.107    0.051    0.051
##     sb_cc_2           0.702    0.034   20.923    0.000    0.702    0.702
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   util_1 ~~                                                             
##     sb_cc_1           0.251    0.030    8.456    0.000    0.282    0.282
##  .util_2 ~~                                                             
##    .sb_cc_2           0.186    0.033    5.689    0.000    0.290    0.290
##  .util_3 ~~                                                             
##    .sb_cc_3           0.174    0.040    4.380    0.000    0.236    0.236
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .util4w1           6.140    0.022  279.411    0.000    6.140    6.422
##    .util5w1           5.746    0.022  261.480    0.000    5.746    6.011
##    .util6w1           5.263    0.029  182.569    0.000    5.263    4.193
##    .util4w2           5.808    0.027  211.410    0.000    5.808    4.903
##    .util5w2           5.727    0.025  224.983    0.000    5.727    5.234
##    .util6w2           5.166    0.029  176.796    0.000    5.166    4.120
##    .util4w3           5.383    0.033  163.453    0.000    5.383    4.065
##    .util5w3           5.392    0.031  175.216    0.000    5.392    4.379
##    .util6w3           4.855    0.032  153.018    0.000    4.855    3.768
##    .sbcc1w1           3.716    0.038   96.573    0.000    3.716    2.212
##    .sbcc2w1           4.092    0.038  106.889    0.000    4.092    2.452
##    .sbcc1w2           3.810    0.040   94.757    0.000    3.810    2.193
##    .sbcc2w2           4.101    0.041  100.623    0.000    4.101    2.332
##    .sbcc1w3           3.908    0.043   91.684    0.000    3.908    2.248
##    .sbcc2w3           4.009    0.042   94.917    0.000    4.009    2.324
##     util_1            0.000                               0.000    0.000
##    .util_2            0.000                               0.000    0.000
##    .util_3            0.000                               0.000    0.000
##     sb_cc_1           0.000                               0.000    0.000
##    .sb_cc_2           0.000                               0.000    0.000
##    .sb_cc_3           0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .util4w1           0.542    0.028   19.495    0.000    0.542    0.593
##    .util5w1           0.584    0.026   22.287    0.000    0.584    0.639
##    .util6w1           1.129    0.081   13.870    0.000    1.129    0.716
##    .util4w2           0.670    0.040   16.818    0.000    0.670    0.477
##    .util5w2           0.649    0.039   16.587    0.000    0.649    0.542
##    .util6w2           0.956    0.069   13.885    0.000    0.956    0.608
##    .util4w3           0.705    0.049   14.496    0.000    0.705    0.402
##    .util5w3           0.567    0.038   14.746    0.000    0.567    0.374
##    .util6w3           0.928    0.078   11.905    0.000    0.928    0.559
##    .sbcc1w1           0.690    0.075    9.190    0.000    0.690    0.245
##    .sbcc2w1           0.805    0.067   12.064    0.000    0.805    0.289
##    .sbcc1w2           0.845    0.073   11.619    0.000    0.845    0.280
##    .sbcc2w2           0.916    0.074   12.367    0.000    0.916    0.296
##    .sbcc1w3           0.851    0.086    9.914    0.000    0.851    0.281
##    .sbcc2w3           0.725    0.082    8.802    0.000    0.725    0.244
##     util_1            0.372    0.033   11.163    0.000    1.000    1.000
##    .util_2            0.364    0.044    8.272    0.000    0.496    0.496
##    .util_3            0.519    0.056    9.240    0.000    0.495    0.495
##     sb_cc_1           2.130    0.100   21.201    0.000    1.000    1.000
##    .sb_cc_2           1.126    0.080   14.040    0.000    0.519    0.519
##    .sb_cc_3           1.053    0.081   13.074    0.000    0.485    0.485
##        lhs op     rhs est.std    se      z pvalue ci.lower ci.upper
## 1   util_1 =~ util4w1   0.638 0.023 27.648  0.000    0.593    0.683
## 2   util_1 =~ util5w1   0.601 0.023 25.984  0.000    0.556    0.646
## 3   util_1 =~ util6w1   0.533 0.028 18.977  0.000    0.478    0.588
## 4   util_2 =~ util4w2   0.723 0.019 37.675  0.000    0.685    0.761
## 5   util_2 =~ util5w2   0.677 0.023 29.275  0.000    0.631    0.722
## 6   util_2 =~ util6w2   0.626 0.026 24.402  0.000    0.576    0.677
## 7   util_3 =~ util4w3   0.773 0.018 42.587  0.000    0.738    0.809
## 8   util_3 =~ util5w3   0.791 0.018 44.835  0.000    0.757    0.826
## 9   util_3 =~ util6w3   0.664 0.028 23.398  0.000    0.609    0.720
## 10 sb_cc_1 =~ sbcc1w1   0.869 0.015 56.277  0.000    0.839    0.899
## 11 sb_cc_1 =~ sbcc2w1   0.843 0.014 58.394  0.000    0.815    0.871
## 12 sb_cc_2 =~ sbcc1w2   0.848 0.015 58.428  0.000    0.820    0.877
## 13 sb_cc_2 =~ sbcc2w2   0.839 0.015 57.844  0.000    0.811    0.867
## 14 sb_cc_3 =~ sbcc1w3   0.848 0.017 50.478  0.000    0.815    0.881
## 15 sb_cc_3 =~ sbcc2w3   0.870 0.016 54.214  0.000    0.838    0.901
## 16  util_2  ~  util_1   0.714 0.032 22.465  0.000    0.651    0.776
## 17  util_2  ~ sb_cc_1  -0.013 0.033 -0.398  0.691   -0.077    0.051
## 18 sb_cc_2  ~  util_1   0.007 0.028  0.230  0.818   -0.049    0.062
## 19 sb_cc_2  ~ sb_cc_1   0.692 0.023 30.627  0.000    0.648    0.736
## 20  util_3  ~  util_2   0.671 0.033 20.391  0.000    0.606    0.735
## 21  util_3  ~ sb_cc_2   0.112 0.031  3.624  0.000    0.051    0.172
## 22 sb_cc_3  ~  util_2   0.051 0.032  1.613  0.107   -0.011    0.114
## 23 sb_cc_3  ~ sb_cc_2   0.702 0.023 30.012  0.000    0.656    0.748
## 24  util_1 ~~ sb_cc_1   0.282 0.031  9.149  0.000    0.221    0.342
## 25  util_2 ~~ sb_cc_2   0.290 0.047  6.156  0.000    0.198    0.383
## 26  util_3 ~~ sb_cc_3   0.236 0.048  4.877  0.000    0.141    0.331
## 27 util4w1 ~~ util4w1   0.593 0.029 20.164  0.000    0.536    0.651
## 28 util5w1 ~~ util5w1   0.639 0.028 22.989  0.000    0.584    0.693
## 29 util6w1 ~~ util6w1   0.716 0.030 23.963  0.000    0.658    0.775
## 30 util4w2 ~~ util4w2   0.477 0.028 17.197  0.000    0.423    0.532
## 31 util5w2 ~~ util5w2   0.542 0.031 17.334  0.000    0.481    0.603
## 32 util6w2 ~~ util6w2   0.608 0.032 18.912  0.000    0.545    0.671
## 33 util4w3 ~~ util4w3   0.402 0.028 14.320  0.000    0.347    0.457
## 34 util5w3 ~~ util5w3   0.374 0.028 13.378  0.000    0.319    0.428
## 35 util6w3 ~~ util6w3   0.559 0.038 14.814  0.000    0.485    0.633
## 36 sbcc1w1 ~~ sbcc1w1   0.245 0.027  9.120  0.000    0.192    0.297
## 37 sbcc2w1 ~~ sbcc2w1   0.289 0.024 11.870  0.000    0.241    0.337
## 38 sbcc1w2 ~~ sbcc1w2   0.280 0.025 11.371  0.000    0.232    0.328
## 39 sbcc2w2 ~~ sbcc2w2   0.296 0.024 12.163  0.000    0.248    0.344
## 40 sbcc1w3 ~~ sbcc1w3   0.281 0.028  9.885  0.000    0.226    0.337
## 41 sbcc2w3 ~~ sbcc2w3   0.244 0.028  8.739  0.000    0.189    0.298
## 42  util_1 ~~  util_1   1.000 0.000     NA     NA    1.000    1.000
## 43  util_2 ~~  util_2   0.496 0.041 12.061  0.000    0.415    0.576
## 44  util_3 ~~  util_3   0.495 0.040 12.245  0.000    0.416    0.574
## 45 sb_cc_1 ~~ sb_cc_1   1.000 0.000     NA     NA    1.000    1.000
## 46 sb_cc_2 ~~ sb_cc_2   0.519 0.028 18.282  0.000    0.463    0.574
## 47 sb_cc_3 ~~ sb_cc_3   0.485 0.030 16.317  0.000    0.426    0.543
## 48 util4w1 ~1           6.422 0.128 50.190  0.000    6.171    6.672
## 49 util5w1 ~1           6.011 0.092 65.016  0.000    5.829    6.192
## 50 util6w1 ~1           4.193 0.103 40.895  0.000    3.992    4.394
## 51 util4w2 ~1           4.903 0.112 43.830  0.000    4.683    5.122
## 52 util5w2 ~1           5.234 0.117 44.800  0.000    5.005    5.463
## 53 util6w2 ~1           4.120 0.089 46.309  0.000    3.946    4.295
## 54 util4w3 ~1           4.065 0.093 43.654  0.000    3.882    4.247
## 55 util5w3 ~1           4.379 0.104 42.291  0.000    4.176    4.582
## 56 util6w3 ~1           3.768 0.086 43.864  0.000    3.600    3.937
## 57 sbcc1w1 ~1           2.212 0.033 66.094  0.000    2.147    2.278
## 58 sbcc2w1 ~1           2.452 0.038 64.826  0.000    2.378    2.526
## 59 sbcc1w2 ~1           2.193 0.035 63.394  0.000    2.126    2.261
## 60 sbcc2w2 ~1           2.332 0.038 61.488  0.000    2.258    2.406
## 61 sbcc1w3 ~1           2.248 0.039 57.240  0.000    2.171    2.325
## 62 sbcc2w3 ~1           2.324 0.042 55.939  0.000    2.243    2.406
## 63  util_1 ~1           0.000 0.000     NA     NA    0.000    0.000
## 64  util_2 ~1           0.000 0.000     NA     NA    0.000    0.000
## 65  util_3 ~1           0.000 0.000     NA     NA    0.000    0.000
## 66 sb_cc_1 ~1           0.000 0.000     NA     NA    0.000    0.000
## 67 sb_cc_2 ~1           0.000 0.000     NA     NA    0.000    0.000
## 68 sb_cc_3 ~1           0.000 0.000     NA     NA    0.000    0.000

Util Value and Belonging PS

## Warning in lav_data_full(data = data, group = group, cluster = cluster, : lavaan WARNING: some cases are empty and will be ignored:
##   320 617 968 1056
## lavaan 0.6-6 ended normally after 84 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         86
##                                                       
##                                                   Used       Total
##   Number of observations                          1956        1960
##   Number of missing patterns                        64            
##                                                                   
## Model Test User Model:
##                                                       
##   Test statistic                              1444.174
##   Degrees of freedom                               238
##   P-value (Chi-square)                           0.000
## 
## Model Test Baseline Model:
## 
##   Test statistic                             16179.096
##   Degrees of freedom                               276
##   P-value                                        0.000
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    0.924
##   Tucker-Lewis Index (TLI)                       0.912
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -70904.070
##   Loglikelihood unrestricted model (H1)     -70181.983
##                                                       
##   Akaike (AIC)                              141980.141
##   Bayesian (BIC)                            142459.905
##   Sample-size adjusted Bayesian (BIC)       142186.680
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.051
##   90 Percent confidence interval - lower         0.048
##   90 Percent confidence interval - upper         0.053
##   P-value RMSEA <= 0.05                          0.274
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.044
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   util_1 =~                                                             
##     util4w1           1.000                               0.607    0.634
##     util5w1           0.965    0.057   17.061    0.000    0.585    0.612
##     util6w1           1.086    0.070   15.586    0.000    0.659    0.525
##   util_2 =~                                                             
##     util4w2           1.000                               0.862    0.728
##     util5w2           0.863    0.037   23.287    0.000    0.745    0.680
##     util6w2           0.896    0.042   21.466    0.000    0.773    0.616
##   util_3 =~                                                             
##     util4w3           1.000                               1.021    0.771
##     util5w3           0.964    0.036   26.532    0.000    0.984    0.799
##     util6w3           0.830    0.037   22.597    0.000    0.848    0.658
##   sb_ps_1 =~                                                            
##     sbps1w1           1.000                               1.266    0.639
##     sbps2w1           1.064    0.042   25.371    0.000    1.347    0.729
##     sbps3w1           1.276    0.047   27.311    0.000    1.616    0.840
##     sbiso1w1         -0.989    0.045  -21.856    0.000   -1.252   -0.607
##     sbiso2w1         -0.819    0.039  -21.093    0.000   -1.037   -0.586
##   sb_ps_2 =~                                                            
##     sbps1w2           1.000                               1.105    0.652
##     sbps2w2           1.248    0.046   26.932    0.000    1.380    0.774
##     sbps3w2           1.344    0.048   28.081    0.000    1.486    0.824
##     sbiso1w2         -1.126    0.051  -22.002    0.000   -1.245   -0.607
##     sbiso2w2         -1.046    0.048  -21.576    0.000   -1.156   -0.598
##   sb_ps_3 =~                                                            
##     sbps1w3           1.000                               1.268    0.742
##     sbps2w3           1.123    0.037   30.212    0.000    1.424    0.802
##     sbps3w3           1.216    0.037   32.641    0.000    1.542    0.878
##     sbiso1w3         -0.764    0.042  -18.173    0.000   -0.969   -0.489
##     sbiso2w3         -0.659    0.039  -16.714    0.000   -0.836   -0.450
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   util_2 ~                                                              
##     util_1            1.009    0.063   16.146    0.000    0.710    0.710
##     sb_ps_1          -0.009    0.019   -0.453    0.651   -0.013   -0.013
##   sb_ps_2 ~                                                             
##     util_1            0.161    0.052    3.076    0.002    0.088    0.088
##     sb_ps_1           0.533    0.030   17.530    0.000    0.611    0.611
##   util_3 ~                                                              
##     util_2            0.817    0.045   18.075    0.000    0.690    0.690
##     sb_ps_2           0.038    0.026    1.457    0.145    0.041    0.041
##   sb_ps_3 ~                                                             
##     util_2            0.152    0.042    3.579    0.000    0.103    0.103
##     sb_ps_2           0.752    0.040   18.806    0.000    0.655    0.655
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   util_1 ~~                                                             
##     sb_ps_1           0.138    0.025    5.485    0.000    0.180    0.180
##  .util_2 ~~                                                             
##    .sb_ps_2           0.105    0.023    4.538    0.000    0.201    0.201
##  .util_3 ~~                                                             
##    .sb_ps_3           0.213    0.030    7.211    0.000    0.318    0.318
##  .sbiso1w1 ~~                                                           
##    .sbiso2w1          0.347    0.063    5.516    0.000    0.347    0.148
##  .sbiso1w2 ~~                                                           
##    .sbiso2w2          0.904    0.072   12.624    0.000    0.904    0.358
##  .sbiso1w3 ~~                                                           
##    .sbiso2w3          1.368    0.085   16.093    0.000    1.368    0.476
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .util4w1           6.140    0.022  279.662    0.000    6.140    6.422
##    .util5w1           5.746    0.022  261.662    0.000    5.746    6.011
##    .util6w1           5.263    0.029  182.535    0.000    5.263    4.193
##    .util4w2           5.807    0.027  211.257    0.000    5.807    4.902
##    .util5w2           5.727    0.025  225.206    0.000    5.727    5.234
##    .util6w2           5.166    0.029  177.113    0.000    5.166    4.120
##    .util4w3           5.382    0.033  163.990    0.000    5.382    4.064
##    .util5w3           5.391    0.030  176.840    0.000    5.391    4.377
##    .util6w3           4.854    0.032  151.068    0.000    4.854    3.768
##    .sbps1w1           4.878    0.046  107.100    0.000    4.878    2.461
##    .sbps2w1           4.208    0.042   99.105    0.000    4.208    2.278
##    .sbps3w1           4.192    0.044   94.931    0.000    4.192    2.179
##    .sbiso1w1          4.084    0.047   86.128    0.000    4.084    1.979
##    .sbiso2w1          3.512    0.041   86.237    0.000    3.512    1.983
##    .sbps1w2           5.526    0.039  140.246    0.000    5.526    3.261
##    .sbps2w2           4.815    0.041  116.418    0.000    4.815    2.700
##    .sbps3w2           4.903    0.042  117.386    0.000    4.903    2.720
##    .sbiso1w2          3.413    0.048   71.548    0.000    3.413    1.665
##    .sbiso2w2          3.410    0.045   75.643    0.000    3.410    1.763
##    .sbps1w3           5.288    0.043  124.291    0.000    5.288    3.093
##    .sbps2w3           4.649    0.044  105.518    0.000    4.649    2.618
##    .sbps3w3           4.908    0.043  113.211    0.000    4.908    2.795
##    .sbiso1w3          3.452    0.050   69.020    0.000    3.452    1.740
##    .sbiso2w3          3.652    0.047   77.777    0.000    3.652    1.965
##     util_1            0.000                               0.000    0.000
##    .util_2            0.000                               0.000    0.000
##    .util_3            0.000                               0.000    0.000
##     sb_ps_1           0.000                               0.000    0.000
##    .sb_ps_2           0.000                               0.000    0.000
##    .sb_ps_3           0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .util4w1           0.546    0.026   20.880    0.000    0.546    0.597
##    .util5w1           0.571    0.026   21.870    0.000    0.571    0.625
##    .util6w1           1.142    0.045   25.287    0.000    1.142    0.725
##    .util4w2           0.659    0.033   20.052    0.000    0.659    0.470
##    .util5w2           0.643    0.029   22.407    0.000    0.643    0.537
##    .util6w2           0.975    0.039   24.735    0.000    0.975    0.620
##    .util4w3           0.711    0.039   18.321    0.000    0.711    0.405
##    .util5w3           0.549    0.033   16.473    0.000    0.549    0.362
##    .util6w3           0.941    0.041   23.043    0.000    0.941    0.567
##    .sbps1w1           2.327    0.087   26.778    0.000    2.327    0.592
##    .sbps2w1           1.597    0.066   24.136    0.000    1.597    0.468
##    .sbps3w1           1.093    0.064   17.093    0.000    1.093    0.295
##    .sbiso1w1          2.691    0.099   27.201    0.000    2.691    0.632
##    .sbiso2w1          2.060    0.075   27.392    0.000    2.060    0.657
##    .sbps1w2           1.650    0.062   26.457    0.000    1.650    0.575
##    .sbps2w2           1.277    0.056   22.733    0.000    1.277    0.401
##    .sbps3w2           1.040    0.053   19.507    0.000    1.040    0.320
##    .sbiso1w2          2.653    0.098   27.119    0.000    2.653    0.631
##    .sbiso2w2          2.407    0.088   27.222    0.000    2.407    0.643
##    .sbps1w3           1.315    0.057   22.995    0.000    1.315    0.450
##    .sbps2w3           1.127    0.054   20.718    0.000    1.127    0.357
##    .sbps3w3           0.705    0.048   14.756    0.000    0.705    0.229
##    .sbiso1w3          2.995    0.113   26.575    0.000    2.995    0.761
##    .sbiso2w3          2.754    0.103   26.793    0.000    2.754    0.798
##     util_1            0.368    0.031   12.053    0.000    1.000    1.000
##    .util_2            0.371    0.034   10.985    0.000    0.499    0.499
##    .util_3            0.530    0.042   12.550    0.000    0.508    0.508
##     sb_ps_1           1.602    0.112   14.368    0.000    1.000    1.000
##    .sb_ps_2           0.733    0.054   13.685    0.000    0.600    0.600
##    .sb_ps_3           0.848    0.059   14.461    0.000    0.527    0.527
##         lhs op      rhs est.std    se       z pvalue ci.lower ci.upper
## 1    util_1 =~  util4w1   0.634 0.021  29.558  0.000    0.592    0.677
## 2    util_1 =~  util5w1   0.612 0.022  28.084  0.000    0.569    0.655
## 3    util_1 =~  util6w1   0.525 0.023  23.089  0.000    0.480    0.569
## 4    util_2 =~  util4w2   0.728 0.016  44.778  0.000    0.696    0.760
## 5    util_2 =~  util5w2   0.680 0.017  39.540  0.000    0.647    0.714
## 6    util_2 =~  util6w2   0.616 0.019  33.198  0.000    0.580    0.653
## 7    util_3 =~  util4w3   0.771 0.015  50.991  0.000    0.742    0.801
## 8    util_3 =~  util5w3   0.799 0.015  54.958  0.000    0.770    0.827
## 9    util_3 =~  util6w3   0.658 0.018  36.179  0.000    0.622    0.694
## 10  sb_ps_1 =~  sbps1w1   0.639 0.016  39.779  0.000    0.607    0.670
## 11  sb_ps_1 =~  sbps2w1   0.729 0.014  53.887  0.000    0.703    0.756
## 12  sb_ps_1 =~  sbps3w1   0.840 0.011  76.920  0.000    0.818    0.861
## 13  sb_ps_1 =~ sbiso1w1  -0.607 0.017 -35.572  0.000   -0.640   -0.573
## 14  sb_ps_1 =~ sbiso2w1  -0.586 0.018 -33.070  0.000   -0.620   -0.551
## 15  sb_ps_2 =~  sbps1w2   0.652 0.016  41.745  0.000    0.622    0.683
## 16  sb_ps_2 =~  sbps2w2   0.774 0.012  64.387  0.000    0.750    0.797
## 17  sb_ps_2 =~  sbps3w2   0.824 0.011  77.327  0.000    0.804    0.845
## 18  sb_ps_2 =~ sbiso1w2  -0.607 0.017 -35.778  0.000   -0.641   -0.574
## 19  sb_ps_2 =~ sbiso2w2  -0.598 0.017 -34.664  0.000   -0.631   -0.564
## 20  sb_ps_3 =~  sbps1w3   0.742 0.014  54.605  0.000    0.715    0.768
## 21  sb_ps_3 =~  sbps2w3   0.802 0.012  69.536  0.000    0.779    0.824
## 22  sb_ps_3 =~  sbps3w3   0.878 0.009  92.908  0.000    0.860    0.897
## 23  sb_ps_3 =~ sbiso1w3  -0.489 0.021 -23.115  0.000   -0.530   -0.447
## 24  sb_ps_3 =~ sbiso2w3  -0.450 0.022 -20.415  0.000   -0.493   -0.407
## 25   util_2  ~   util_1   0.710 0.026  27.592  0.000    0.660    0.761
## 26   util_2  ~  sb_ps_1  -0.013 0.029  -0.453  0.651   -0.069    0.043
## 27  sb_ps_2  ~   util_1   0.088 0.028   3.109  0.002    0.033    0.144
## 28  sb_ps_2  ~  sb_ps_1   0.611 0.020  29.953  0.000    0.571    0.651
## 29   util_3  ~   util_2   0.690 0.024  28.727  0.000    0.643    0.738
## 30   util_3  ~  sb_ps_2   0.041 0.028   1.461  0.144   -0.014    0.095
## 31  sb_ps_3  ~   util_2   0.103 0.028   3.628  0.000    0.047    0.159
## 32  sb_ps_3  ~  sb_ps_2   0.655 0.020  32.136  0.000    0.615    0.695
## 33   util_1 ~~  sb_ps_1   0.180 0.031   5.763  0.000    0.119    0.241
## 34   util_2 ~~  sb_ps_2   0.201 0.042   4.781  0.000    0.119    0.284
## 35   util_3 ~~  sb_ps_3   0.318 0.039   8.165  0.000    0.241    0.394
## 36 sbiso1w1 ~~ sbiso2w1   0.148 0.025   5.859  0.000    0.098    0.197
## 37 sbiso1w2 ~~ sbiso2w2   0.358 0.022  16.084  0.000    0.314    0.401
## 38 sbiso1w3 ~~ sbiso2w3   0.476 0.020  23.520  0.000    0.437    0.516
## 39  util4w1 ~~  util4w1   0.597 0.027  21.934  0.000    0.544    0.651
## 40  util5w1 ~~  util5w1   0.625 0.027  23.422  0.000    0.573    0.678
## 41  util6w1 ~~  util6w1   0.725 0.024  30.381  0.000    0.678    0.771
## 42  util4w2 ~~  util4w2   0.470 0.024  19.846  0.000    0.423    0.516
## 43  util5w2 ~~  util5w2   0.537 0.023  22.932  0.000    0.491    0.583
## 44  util6w2 ~~  util6w2   0.620 0.023  27.081  0.000    0.575    0.665
## 45  util4w3 ~~  util4w3   0.405 0.023  17.378  0.000    0.360    0.451
## 46  util5w3 ~~  util5w3   0.362 0.023  15.566  0.000    0.316    0.407
## 47  util6w3 ~~  util6w3   0.567 0.024  23.700  0.000    0.520    0.614
## 48  sbps1w1 ~~  sbps1w1   0.592 0.021  28.885  0.000    0.552    0.632
## 49  sbps2w1 ~~  sbps2w1   0.468 0.020  23.705  0.000    0.429    0.507
## 50  sbps3w1 ~~  sbps3w1   0.295 0.018  16.098  0.000    0.259    0.331
## 51 sbiso1w1 ~~ sbiso1w1   0.632 0.021  30.543  0.000    0.591    0.673
## 52 sbiso2w1 ~~ sbiso2w1   0.657 0.021  31.657  0.000    0.616    0.698
## 53  sbps1w2 ~~  sbps1w2   0.575 0.020  28.185  0.000    0.535    0.614
## 54  sbps2w2 ~~  sbps2w2   0.401 0.019  21.596  0.000    0.365    0.438
## 55  sbps3w2 ~~  sbps3w2   0.320 0.018  18.216  0.000    0.286    0.355
## 56 sbiso1w2 ~~ sbiso1w2   0.631 0.021  30.621  0.000    0.591    0.672
## 57 sbiso2w2 ~~ sbiso2w2   0.643 0.021  31.192  0.000    0.602    0.683
## 58  sbps1w3 ~~  sbps1w3   0.450 0.020  22.324  0.000    0.410    0.489
## 59  sbps2w3 ~~  sbps2w3   0.357 0.018  19.332  0.000    0.321    0.394
## 60  sbps3w3 ~~  sbps3w3   0.229 0.017  13.781  0.000    0.196    0.261
## 61 sbiso1w3 ~~ sbiso1w3   0.761 0.021  36.858  0.000    0.721    0.802
## 62 sbiso2w3 ~~ sbiso2w3   0.798 0.020  40.216  0.000    0.759    0.836
## 63   util_1 ~~   util_1   1.000 0.000      NA     NA    1.000    1.000
## 64   util_2 ~~   util_2   0.499 0.035  14.272  0.000    0.430    0.567
## 65   util_3 ~~   util_3   0.508 0.031  16.332  0.000    0.447    0.569
## 66  sb_ps_1 ~~  sb_ps_1   1.000 0.000      NA     NA    1.000    1.000
## 67  sb_ps_2 ~~  sb_ps_2   0.600 0.024  24.898  0.000    0.553    0.647
## 68  sb_ps_3 ~~  sb_ps_3   0.527 0.025  21.044  0.000    0.478    0.576
## 69  util4w1 ~1            6.422 0.107  60.074  0.000    6.212    6.631
## 70  util5w1 ~1            6.011 0.101  59.793  0.000    5.814    6.208
## 71  util6w1 ~1            4.193 0.072  58.273  0.000    4.052    4.334
## 72  util4w2 ~1            4.902 0.084  58.405  0.000    4.738    5.067
## 73  util5w2 ~1            5.234 0.089  58.587  0.000    5.059    5.409
## 74  util6w2 ~1            4.120 0.072  57.420  0.000    3.979    4.260
## 75  util4w3 ~1            4.064 0.079  51.741  0.000    3.910    4.218
## 76  util5w3 ~1            4.377 0.084  52.054  0.000    4.212    4.541
## 77  util6w3 ~1            3.768 0.074  51.268  0.000    3.624    3.912
## 78  sbps1w1 ~1            2.461 0.046  53.260  0.000    2.370    2.551
## 79  sbps2w1 ~1            2.278 0.044  52.146  0.000    2.192    2.364
## 80  sbps3w1 ~1            2.179 0.042  51.550  0.000    2.096    2.261
## 81 sbiso1w1 ~1            1.979 0.040  50.010  0.000    1.902    2.057
## 82 sbiso2w1 ~1            1.983 0.040  50.012  0.000    1.905    2.061
## 83  sbps1w2 ~1            3.261 0.059  55.603  0.000    3.146    3.376
## 84  sbps2w2 ~1            2.700 0.050  53.759  0.000    2.602    2.798
## 85  sbps3w2 ~1            2.720 0.050  53.876  0.000    2.621    2.819
## 86 sbiso1w2 ~1            1.665 0.036  46.206  0.000    1.594    1.736
## 87 sbiso2w2 ~1            1.763 0.037  47.211  0.000    1.689    1.836
## 88  sbps1w3 ~1            3.093 0.061  50.451  0.000    2.973    3.213
## 89  sbps2w3 ~1            2.618 0.054  48.846  0.000    2.513    2.723
## 90  sbps3w3 ~1            2.795 0.056  49.693  0.000    2.685    2.906
## 91 sbiso1w3 ~1            1.740 0.040  43.795  0.000    1.663    1.818
## 92 sbiso2w3 ~1            1.965 0.043  45.702  0.000    1.881    2.050
## 93   util_1 ~1            0.000 0.000      NA     NA    0.000    0.000
## 94   util_2 ~1            0.000 0.000      NA     NA    0.000    0.000
## 95   util_3 ~1            0.000 0.000      NA     NA    0.000    0.000
## 96  sb_ps_1 ~1            0.000 0.000      NA     NA    0.000    0.000
## 97  sb_ps_2 ~1            0.000 0.000      NA     NA    0.000    0.000
## 98  sb_ps_3 ~1            0.000 0.000      NA     NA    0.000    0.000

Util Value and Belonging FS

## Warning in lav_data_full(data = data, group = group, cluster = cluster, : lavaan WARNING: some cases are empty and will be ignored:
##   320 617 968 1056
## lavaan 0.6-6 ended normally after 82 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         74
##                                                       
##                                                   Used       Total
##   Number of observations                          1956        1960
##   Number of missing patterns                        62            
##                                                                   
## Model Test User Model:
##                                                       
##   Test statistic                              1355.621
##   Degrees of freedom                               178
##   P-value (Chi-square)                           0.000
## 
## Model Test Baseline Model:
## 
##   Test statistic                             14118.308
##   Degrees of freedom                               210
##   P-value                                        0.000
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    0.915
##   Tucker-Lewis Index (TLI)                       0.900
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -58320.060
##   Loglikelihood unrestricted model (H1)     -57642.249
##                                                       
##   Akaike (AIC)                              116788.120
##   Bayesian (BIC)                            117200.941
##   Sample-size adjusted Bayesian (BIC)       116965.840
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.058
##   90 Percent confidence interval - lower         0.055
##   90 Percent confidence interval - upper         0.061
##   P-value RMSEA <= 0.05                          0.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.047
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   util_1 =~                                                             
##     util4w1           1.000                               0.618    0.647
##     util5w1           0.923    0.053   17.507    0.000    0.571    0.597
##     util6w1           1.068    0.067   15.947    0.000    0.660    0.526
##   util_2 =~                                                             
##     util4w2           1.000                               0.859    0.725
##     util5w2           0.860    0.037   23.403    0.000    0.738    0.675
##     util6w2           0.912    0.042   21.696    0.000    0.784    0.625
##   util_3 =~                                                             
##     util4w3           1.000                               1.030    0.778
##     util5w3           0.941    0.035   26.770    0.000    0.969    0.787
##     util6w3           0.829    0.036   22.726    0.000    0.854    0.663
##   sb_fs_1 =~                                                            
##     sbfs1w1           1.000                               1.352    0.863
##     sbfs2w1           0.929    0.026   36.282    0.000    1.256    0.799
##     sbfs3w1           0.715    0.030   23.594    0.000    0.967    0.550
##     sbfu1w1           0.623    0.024   25.587    0.000    0.843    0.589
##   sb_fs_2 =~                                                            
##     sbfs1w2           1.000                               1.397    0.846
##     sbfs2w2           0.983    0.025   38.715    0.000    1.372    0.822
##     sbfs3w2           0.735    0.030   24.860    0.000    1.026    0.571
##     sbfu1w2           0.606    0.024   25.043    0.000    0.847    0.580
##   sb_fs_3 =~                                                            
##     sbfs1w3           1.000                               1.464    0.890
##     sbfs2w3           0.934    0.025   36.694    0.000    1.367    0.822
##     sbfs3w3           0.759    0.030   25.306    0.000    1.111    0.605
##     sbfu1w3           0.719    0.026   27.531    0.000    1.053    0.652
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   util_2 ~                                                              
##     util_1            1.009    0.064   15.671    0.000    0.727    0.727
##     sb_fs_1          -0.031    0.020   -1.555    0.120   -0.049   -0.049
##   sb_fs_2 ~                                                             
##     util_1            0.065    0.067    0.961    0.336    0.029    0.029
##     sb_fs_1           0.666    0.030   22.397    0.000    0.645    0.645
##   util_3 ~                                                              
##     util_2            0.797    0.046   17.310    0.000    0.665    0.665
##     sb_fs_2           0.078    0.022    3.586    0.000    0.106    0.106
##   sb_fs_3 ~                                                             
##     util_2            0.052    0.052    1.012    0.312    0.031    0.031
##     sb_fs_2           0.688    0.032   21.774    0.000    0.656    0.656
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   util_1 ~~                                                             
##     sb_fs_1           0.289    0.029    9.970    0.000    0.346    0.346
##  .util_2 ~~                                                             
##    .sb_fs_2           0.239    0.029    8.248    0.000    0.375    0.375
##  .util_3 ~~                                                             
##    .sb_fs_3           0.279    0.034    8.180    0.000    0.353    0.353
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .util4w1           6.140    0.022  279.667    0.000    6.140    6.421
##    .util5w1           5.746    0.022  261.613    0.000    5.746    6.011
##    .util6w1           5.263    0.029  182.527    0.000    5.263    4.193
##    .util4w2           5.808    0.027  211.250    0.000    5.808    4.902
##    .util5w2           5.727    0.025  225.174    0.000    5.727    5.234
##    .util6w2           5.166    0.029  177.150    0.000    5.166    4.120
##    .util4w3           5.380    0.033  164.215    0.000    5.380    4.064
##    .util5w3           5.390    0.030  177.025    0.000    5.390    4.379
##    .util6w3           4.853    0.032  151.200    0.000    4.853    3.768
##    .sbfs1w1           4.788    0.036  133.220    0.000    4.788    3.057
##    .sbfs2w1           4.979    0.036  137.985    0.000    4.979    3.169
##    .sbfs3w1           3.217    0.040   79.462    0.000    3.217    1.828
##    .sbfu1w1           5.338    0.033  161.905    0.000    5.338    3.729
##    .sbfs1w2           4.475    0.038  117.059    0.000    4.475    2.710
##    .sbfs2w2           4.844    0.039  125.366    0.000    4.844    2.902
##    .sbfs3w2           3.105    0.042   74.097    0.000    3.105    1.727
##    .sbfu1w2           5.184    0.034  152.312    0.000    5.184    3.548
##    .sbfs1w3           4.280    0.041  105.393    0.000    4.280    2.602
##    .sbfs2w3           4.624    0.041  112.193    0.000    4.624    2.782
##    .sbfs3w3           3.081    0.046   66.785    0.000    3.081    1.679
##    .sbfu1w3           4.653    0.041  114.874    0.000    4.653    2.880
##     util_1            0.000                               0.000    0.000
##    .util_2            0.000                               0.000    0.000
##    .util_3            0.000                               0.000    0.000
##     sb_fs_1           0.000                               0.000    0.000
##    .sb_fs_2           0.000                               0.000    0.000
##    .sb_fs_3           0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .util4w1           0.532    0.026   20.796    0.000    0.532    0.582
##    .util5w1           0.588    0.026   22.910    0.000    0.588    0.644
##    .util6w1           1.139    0.045   25.483    0.000    1.139    0.723
##    .util4w2           0.666    0.033   20.383    0.000    0.666    0.474
##    .util5w2           0.652    0.029   22.741    0.000    0.652    0.545
##    .util6w2           0.958    0.039   24.548    0.000    0.958    0.609
##    .util4w3           0.693    0.038   18.059    0.000    0.693    0.395
##    .util5w3           0.577    0.033   17.418    0.000    0.577    0.381
##    .util6w3           0.930    0.041   22.886    0.000    0.930    0.561
##    .sbfs1w1           0.625    0.041   15.360    0.000    0.625    0.255
##    .sbfs2w1           0.892    0.043   20.962    0.000    0.892    0.361
##    .sbfs3w1           2.161    0.076   28.433    0.000    2.161    0.698
##    .sbfu1w1           1.339    0.048   27.890    0.000    1.339    0.653
##    .sbfs1w2           0.777    0.043   18.181    0.000    0.777    0.285
##    .sbfs2w2           0.903    0.044   20.375    0.000    0.903    0.324
##    .sbfs3w2           2.179    0.078   27.902    0.000    2.179    0.674
##    .sbfu1w2           1.418    0.051   27.811    0.000    1.418    0.664
##    .sbfs1w3           0.562    0.042   13.244    0.000    0.562    0.208
##    .sbfs2w3           0.894    0.047   18.962    0.000    0.894    0.324
##    .sbfs3w3           2.134    0.083   25.670    0.000    2.134    0.634
##    .sbfu1w3           1.501    0.060   25.042    0.000    1.501    0.575
##     util_1            0.382    0.031   12.502    0.000    1.000    1.000
##    .util_2            0.364    0.034   10.808    0.000    0.494    0.494
##    .util_3            0.527    0.042   12.582    0.000    0.497    0.497
##     sb_fs_1           1.829    0.085   21.517    0.000    1.000    1.000
##    .sb_fs_2           1.113    0.065   17.112    0.000    0.571    0.571
##    .sb_fs_3           1.188    0.069   17.151    0.000    0.555    0.555
##        lhs op     rhs est.std    se      z pvalue ci.lower ci.upper
## 1   util_1 =~ util4w1   0.647 0.021 31.146  0.000    0.606    0.687
## 2   util_1 =~ util5w1   0.597 0.022 27.691  0.000    0.555    0.639
## 3   util_1 =~ util6w1   0.526 0.022 23.474  0.000    0.482    0.570
## 4   util_2 =~ util4w2   0.725 0.016 44.779  0.000    0.693    0.757
## 5   util_2 =~ util5w2   0.675 0.017 39.114  0.000    0.641    0.709
## 6   util_2 =~ util6w2   0.625 0.018 34.114  0.000    0.589    0.661
## 7   util_3 =~ util4w3   0.778 0.015 52.376  0.000    0.749    0.807
## 8   util_3 =~ util5w3   0.787 0.015 53.618  0.000    0.758    0.816
## 9   util_3 =~ util6w3   0.663 0.018 36.724  0.000    0.627    0.698
## 10 sb_fs_1 =~ sbfs1w1   0.863 0.010 84.819  0.000    0.843    0.883
## 11 sb_fs_1 =~ sbfs2w1   0.799 0.011 69.843  0.000    0.777    0.822
## 12 sb_fs_1 =~ sbfs3w1   0.550 0.018 30.344  0.000    0.514    0.585
## 13 sb_fs_1 =~ sbfu1w1   0.589 0.017 34.288  0.000    0.555    0.622
## 14 sb_fs_2 =~ sbfs1w2   0.846 0.010 85.033  0.000    0.826    0.865
## 15 sb_fs_2 =~ sbfs2w2   0.822 0.010 79.029  0.000    0.802    0.842
## 16 sb_fs_2 =~ sbfs3w2   0.571 0.018 32.301  0.000    0.536    0.605
## 17 sb_fs_2 =~ sbfu1w2   0.580 0.017 33.211  0.000    0.545    0.614
## 18 sb_fs_3 =~ sbfs1w3   0.890 0.009 94.843  0.000    0.872    0.908
## 19 sb_fs_3 =~ sbfs2w3   0.822 0.011 73.414  0.000    0.800    0.844
## 20 sb_fs_3 =~ sbfs3w3   0.605 0.018 33.669  0.000    0.570    0.641
## 21 sb_fs_3 =~ sbfu1w3   0.652 0.017 39.423  0.000    0.619    0.684
## 22  util_2  ~  util_1   0.727 0.029 25.124  0.000    0.670    0.783
## 23  util_2  ~ sb_fs_1  -0.049 0.031 -1.556  0.120   -0.110    0.013
## 24 sb_fs_2  ~  util_1   0.029 0.030  0.962  0.336   -0.030    0.087
## 25 sb_fs_2  ~ sb_fs_1   0.645 0.022 29.804  0.000    0.602    0.687
## 26  util_3  ~  util_2   0.665 0.026 25.457  0.000    0.614    0.716
## 27  util_3  ~ sb_fs_2   0.106 0.029  3.617  0.000    0.049    0.164
## 28 sb_fs_3  ~  util_2   0.031 0.030  1.013  0.311   -0.029    0.090
## 29 sb_fs_3  ~ sb_fs_2   0.656 0.022 29.478  0.000    0.612    0.700
## 30  util_1 ~~ sb_fs_1   0.346 0.029 11.803  0.000    0.288    0.403
## 31  util_2 ~~ sb_fs_2   0.375 0.042  9.015  0.000    0.293    0.456
## 32  util_3 ~~ sb_fs_3   0.353 0.038  9.316  0.000    0.279    0.427
## 33 util4w1 ~~ util4w1   0.582 0.027 21.661  0.000    0.529    0.634
## 34 util5w1 ~~ util5w1   0.644 0.026 25.009  0.000    0.593    0.694
## 35 util6w1 ~~ util6w1   0.723 0.024 30.675  0.000    0.677    0.769
## 36 util4w2 ~~ util4w2   0.474 0.023 20.204  0.000    0.428    0.520
## 37 util5w2 ~~ util5w2   0.545 0.023 23.395  0.000    0.499    0.590
## 38 util6w2 ~~ util6w2   0.609 0.023 26.618  0.000    0.565    0.654
## 39 util4w3 ~~ util4w3   0.395 0.023 17.107  0.000    0.350    0.440
## 40 util5w3 ~~ util5w3   0.381 0.023 16.476  0.000    0.335    0.426
## 41 util6w3 ~~ util6w3   0.561 0.024 23.434  0.000    0.514    0.608
## 42 sbfs1w1 ~~ sbfs1w1   0.255 0.018 14.495  0.000    0.220    0.289
## 43 sbfs2w1 ~~ sbfs2w1   0.361 0.018 19.742  0.000    0.325    0.397
## 44 sbfs3w1 ~~ sbfs3w1   0.698 0.020 35.040  0.000    0.659    0.737
## 45 sbfu1w1 ~~ sbfu1w1   0.653 0.020 32.327  0.000    0.614    0.693
## 46 sbfs1w2 ~~ sbfs1w2   0.285 0.017 16.937  0.000    0.252    0.318
## 47 sbfs2w2 ~~ sbfs2w2   0.324 0.017 18.955  0.000    0.291    0.358
## 48 sbfs3w2 ~~ sbfs3w2   0.674 0.020 33.440  0.000    0.635    0.714
## 49 sbfu1w2 ~~ sbfu1w2   0.664 0.020 32.840  0.000    0.625    0.704
## 50 sbfs1w3 ~~ sbfs1w3   0.208 0.017 12.442  0.000    0.175    0.241
## 51 sbfs2w3 ~~ sbfs2w3   0.324 0.018 17.563  0.000    0.288    0.360
## 52 sbfs3w3 ~~ sbfs3w3   0.634 0.022 29.104  0.000    0.591    0.676
## 53 sbfu1w3 ~~ sbfu1w3   0.575 0.022 26.695  0.000    0.533    0.617
## 54  util_1 ~~  util_1   1.000 0.000     NA     NA    1.000    1.000
## 55  util_2 ~~  util_2   0.494 0.035 13.925  0.000    0.425    0.564
## 56  util_3 ~~  util_3   0.497 0.030 16.307  0.000    0.437    0.557
## 57 sb_fs_1 ~~ sb_fs_1   1.000 0.000     NA     NA    1.000    1.000
## 58 sb_fs_2 ~~ sb_fs_2   0.571 0.024 23.982  0.000    0.524    0.617
## 59 sb_fs_3 ~~ sb_fs_3   0.555 0.025 22.197  0.000    0.506    0.604
## 60 util4w1 ~1           6.421 0.107 60.067  0.000    6.212    6.631
## 61 util5w1 ~1           6.011 0.101 59.784  0.000    5.813    6.208
## 62 util6w1 ~1           4.193 0.072 58.268  0.000    4.052    4.334
## 63 util4w2 ~1           4.902 0.084 58.406  0.000    4.738    5.067
## 64 util5w2 ~1           5.234 0.089 58.582  0.000    5.059    5.409
## 65 util6w2 ~1           4.120 0.072 57.428  0.000    3.979    4.261
## 66 util4w3 ~1           4.064 0.078 51.784  0.000    3.910    4.217
## 67 util5w3 ~1           4.379 0.084 52.110  0.000    4.214    4.543
## 68 util6w3 ~1           3.768 0.073 51.287  0.000    3.624    3.912
## 69 sbfs1w1 ~1           3.057 0.055 55.642  0.000    2.949    3.164
## 70 sbfs2w1 ~1           3.169 0.057 56.023  0.000    3.058    3.280
## 71 sbfs3w1 ~1           1.828 0.038 48.504  0.000    1.754    1.902
## 72 sbfu1w1 ~1           3.729 0.065 57.206  0.000    3.601    3.857
## 73 sbfs1w2 ~1           2.710 0.050 53.968  0.000    2.611    2.808
## 74 sbfs2w2 ~1           2.902 0.053 54.721  0.000    2.798    3.006
## 75 sbfs3w2 ~1           1.727 0.037 46.934  0.000    1.655    1.800
## 76 sbfu1w2 ~1           3.548 0.063 56.266  0.000    3.424    3.672
## 77 sbfs1w3 ~1           2.602 0.053 48.755  0.000    2.498    2.707
## 78 sbfs2w3 ~1           2.782 0.056 49.374  0.000    2.672    2.893
## 79 sbfs3w3 ~1           1.679 0.040 42.115  0.000    1.601    1.757
## 80 sbfu1w3 ~1           2.880 0.058 49.507  0.000    2.766    2.994
## 81  util_1 ~1           0.000 0.000     NA     NA    0.000    0.000
## 82  util_2 ~1           0.000 0.000     NA     NA    0.000    0.000
## 83  util_3 ~1           0.000 0.000     NA     NA    0.000    0.000
## 84 sb_fs_1 ~1           0.000 0.000     NA     NA    0.000    0.000
## 85 sb_fs_2 ~1           0.000 0.000     NA     NA    0.000    0.000
## 86 sb_fs_3 ~1           0.000 0.000     NA     NA    0.000    0.000

Confidence and Belonging CC

## Warning in lav_data_full(data = data, group = group, cluster = cluster, : lavaan WARNING: some cases are empty and will be ignored:
##   320 617 968 1056
## lavaan 0.6-6 ended normally after 61 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         47
##                                                       
##                                                   Used       Total
##   Number of observations                          1956        1960
##   Number of clusters [id]                         1960            
##   Number of missing patterns                        46            
##                                                                   
## Model Test User Model:
##                                                Standard      Robust
##   Test Statistic                                402.595     338.901
##   Degrees of freedom                                 43          43
##   P-value (Chi-square)                            0.000       0.000
##   Scaling correction factor                                   1.188
##        Yuan-Bentler correction (Mplus variant)                     
## 
## Model Test Baseline Model:
## 
##   Test statistic                             12166.198    8922.960
##   Degrees of freedom                                66          66
##   P-value                                        0.000       0.000
##   Scaling correction factor                                  1.363
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    0.970       0.967
##   Tucker-Lewis Index (TLI)                       0.954       0.949
##                                                                   
##   Robust Comparative Fit Index (CFI)                         0.971
##   Robust Tucker-Lewis Index (TLI)                            0.955
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -33569.290  -33569.290
##   Scaling correction factor                                  1.274
##       for the MLR correction                                      
##   Loglikelihood unrestricted model (H1)     -33367.993  -33367.993
##   Scaling correction factor                                  1.233
##       for the MLR correction                                      
##                                                                   
##   Akaike (AIC)                               67232.580   67232.580
##   Bayesian (BIC)                             67494.777   67494.777
##   Sample-size adjusted Bayesian (BIC)        67345.457   67345.457
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.065       0.059
##   90 Percent confidence interval - lower         0.060       0.054
##   90 Percent confidence interval - upper         0.071       0.065
##   P-value RMSEA <= 0.05                          0.000       0.002
##                                                                   
##   Robust RMSEA                                               0.065
##   90 Percent confidence interval - lower                     0.058
##   90 Percent confidence interval - upper                     0.071
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.026       0.026
## 
## Parameter Estimates:
## 
##   Standard errors                        Robust.cluster
##   Information                                  Observed
##   Observed information based on                 Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   conf_1 =~                                                             
##     conf1w1           1.000                               1.127    0.872
##     conf2w1           0.952    0.034   28.120    0.000    1.073    0.793
##   conf_2 =~                                                             
##     conf1w2           1.000                               1.299    0.887
##     conf2w2           0.995    0.026   37.751    0.000    1.292    0.841
##   conf_3 =~                                                             
##     conf1w3           1.000                               1.484    0.924
##     conf2w3           0.942    0.026   36.039    0.000    1.399    0.847
##   sb_cc_1 =~                                                            
##     sbcc1w1           1.000                               1.470    0.875
##     sbcc2w1           0.950    0.028   33.889    0.000    1.396    0.837
##   sb_cc_2 =~                                                            
##     sbcc1w2           1.000                               1.477    0.850
##     sbcc2w2           0.999    0.028   35.731    0.000    1.476    0.839
##   sb_cc_3 =~                                                            
##     sbcc1w3           1.000                               1.474    0.847
##     sbcc2w3           1.020    0.031   32.432    0.000    1.503    0.871
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   conf_2 ~                                                              
##     conf_1            0.752    0.039   19.274    0.000    0.653    0.653
##     sb_cc_1           0.082    0.027    3.013    0.003    0.092    0.092
##   sb_cc_2 ~                                                             
##     conf_1            0.071    0.039    1.833    0.067    0.054    0.054
##     sb_cc_1           0.668    0.033   20.353    0.000    0.665    0.665
##   conf_3 ~                                                              
##     conf_2            0.796    0.039   20.357    0.000    0.697    0.697
##     sb_cc_2           0.080    0.029    2.765    0.006    0.079    0.079
##   sb_cc_3 ~                                                             
##     conf_2            0.122    0.040    3.037    0.002    0.108    0.108
##     sb_cc_2           0.656    0.038   17.264    0.000    0.658    0.658
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   conf_1 ~~                                                             
##     sb_cc_1           0.795    0.050   15.928    0.000    0.480    0.480
##  .conf_2 ~~                                                             
##    .sb_cc_2           0.374    0.042    8.902    0.000    0.379    0.379
##  .conf_3 ~~                                                             
##    .sb_cc_3           0.403    0.053    7.545    0.000    0.394    0.394
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .conf1w1           5.136    0.030  173.434    0.000    5.136    3.973
##    .conf2w1           5.077    0.031  163.595    0.000    5.077    3.750
##    .conf1w2           4.754    0.034  140.522    0.000    4.754    3.248
##    .conf2w2           4.630    0.036  130.141    0.000    4.630    3.014
##    .conf1w3           4.504    0.039  114.399    0.000    4.504    2.804
##    .conf2w3           4.274    0.041  105.250    0.000    4.274    2.587
##    .sbcc1w1           3.716    0.038   96.612    0.000    3.716    2.213
##    .sbcc2w1           4.092    0.038  106.953    0.000    4.092    2.453
##    .sbcc1w2           3.811    0.040   94.829    0.000    3.811    2.194
##    .sbcc2w2           4.102    0.041  100.687    0.000    4.102    2.332
##    .sbcc1w3           3.902    0.043   91.051    0.000    3.902    2.242
##    .sbcc2w3           4.001    0.042   94.364    0.000    4.001    2.318
##     conf_1            0.000                               0.000    0.000
##    .conf_2            0.000                               0.000    0.000
##    .conf_3            0.000                               0.000    0.000
##     sb_cc_1           0.000                               0.000    0.000
##    .sb_cc_2           0.000                               0.000    0.000
##    .sb_cc_3           0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .conf1w1           0.401    0.042    9.660    0.000    0.401    0.240
##    .conf2w1           0.681    0.054   12.633    0.000    0.681    0.372
##    .conf1w2           0.456    0.043   10.530    0.000    0.456    0.213
##    .conf2w2           0.691    0.053   13.044    0.000    0.691    0.293
##    .conf1w3           0.377    0.051    7.396    0.000    0.377    0.146
##    .conf2w3           0.771    0.063   12.320    0.000    0.771    0.283
##    .sbcc1w1           0.659    0.069    9.623    0.000    0.659    0.234
##    .sbcc2w1           0.833    0.064   13.047    0.000    0.833    0.300
##    .sbcc1w2           0.835    0.072   11.524    0.000    0.835    0.277
##    .sbcc2w2           0.915    0.074   12.430    0.000    0.915    0.296
##    .sbcc1w3           0.856    0.084   10.191    0.000    0.856    0.283
##    .sbcc2w3           0.720    0.078    9.275    0.000    0.720    0.242
##     conf_1            1.271    0.062   20.401    0.000    1.000    1.000
##    .conf_2            0.857    0.065   13.091    0.000    0.508    0.508
##    .conf_3            0.997    0.081   12.267    0.000    0.453    0.453
##     sb_cc_1           2.160    0.096   22.461    0.000    1.000    1.000
##    .sb_cc_2           1.135    0.080   14.222    0.000    0.520    0.520
##    .sb_cc_3           1.052    0.079   13.362    0.000    0.484    0.484
##        lhs op     rhs est.std    se      z pvalue ci.lower ci.upper
## 1   conf_1 =~ conf1w1   0.872 0.014 61.173  0.000    0.844    0.900
## 2   conf_1 =~ conf2w1   0.793 0.018 44.227  0.000    0.758    0.828
## 3   conf_2 =~ conf1w2   0.887 0.012 76.188  0.000    0.864    0.910
## 4   conf_2 =~ conf2w2   0.841 0.014 61.258  0.000    0.814    0.868
## 5   conf_3 =~ conf1w3   0.924 0.011 83.434  0.000    0.902    0.946
## 6   conf_3 =~ conf2w3   0.847 0.014 60.778  0.000    0.820    0.874
## 7  sb_cc_1 =~ sbcc1w1   0.875 0.014 62.429  0.000    0.848    0.903
## 8  sb_cc_1 =~ sbcc2w1   0.837 0.014 60.316  0.000    0.810    0.864
## 9  sb_cc_2 =~ sbcc1w2   0.850 0.014 59.068  0.000    0.822    0.879
## 10 sb_cc_2 =~ sbcc2w2   0.839 0.014 58.162  0.000    0.811    0.867
## 11 sb_cc_3 =~ sbcc1w3   0.847 0.016 51.626  0.000    0.815    0.879
## 12 sb_cc_3 =~ sbcc2w3   0.871 0.015 57.429  0.000    0.841    0.901
## 13  conf_2  ~  conf_1   0.653 0.029 22.687  0.000    0.596    0.709
## 14  conf_2  ~ sb_cc_1   0.092 0.031  3.007  0.003    0.032    0.152
## 15 sb_cc_2  ~  conf_1   0.054 0.030  1.841  0.066   -0.004    0.112
## 16 sb_cc_2  ~ sb_cc_1   0.665 0.027 24.838  0.000    0.612    0.717
## 17  conf_3  ~  conf_2   0.697 0.028 24.785  0.000    0.642    0.752
## 18  conf_3  ~ sb_cc_2   0.079 0.029  2.774  0.006    0.023    0.135
## 19 sb_cc_3  ~  conf_2   0.108 0.035  3.057  0.002    0.039    0.177
## 20 sb_cc_3  ~ sb_cc_2   0.658 0.030 21.791  0.000    0.599    0.717
## 21  conf_1 ~~ sb_cc_1   0.480 0.024 20.404  0.000    0.434    0.526
## 22  conf_2 ~~ sb_cc_2   0.379 0.036 10.457  0.000    0.308    0.451
## 23  conf_3 ~~ sb_cc_3   0.394 0.041  9.497  0.000    0.313    0.475
## 24 conf1w1 ~~ conf1w1   0.240 0.025  9.656  0.000    0.191    0.289
## 25 conf2w1 ~~ conf2w1   0.372 0.028 13.081  0.000    0.316    0.427
## 26 conf1w2 ~~ conf1w2   0.213 0.021 10.303  0.000    0.172    0.253
## 27 conf2w2 ~~ conf2w2   0.293 0.023 12.685  0.000    0.248    0.338
## 28 conf1w3 ~~ conf1w3   0.146 0.020  7.141  0.000    0.106    0.186
## 29 conf2w3 ~~ conf2w3   0.283 0.024 11.977  0.000    0.236    0.329
## 30 sbcc1w1 ~~ sbcc1w1   0.234 0.025  9.527  0.000    0.186    0.282
## 31 sbcc2w1 ~~ sbcc2w1   0.300 0.023 12.895  0.000    0.254    0.345
## 32 sbcc1w2 ~~ sbcc1w2   0.277 0.024 11.306  0.000    0.229    0.325
## 33 sbcc2w2 ~~ sbcc2w2   0.296 0.024 12.225  0.000    0.249    0.343
## 34 sbcc1w3 ~~ sbcc1w3   0.283 0.028 10.171  0.000    0.228    0.337
## 35 sbcc2w3 ~~ sbcc2w3   0.242 0.026  9.150  0.000    0.190    0.293
## 36  conf_1 ~~  conf_1   1.000 0.000     NA     NA    1.000    1.000
## 37  conf_2 ~~  conf_2   0.508 0.029 17.742  0.000    0.452    0.564
## 38  conf_3 ~~  conf_3   0.453 0.031 14.442  0.000    0.391    0.514
## 39 sb_cc_1 ~~ sb_cc_1   1.000 0.000     NA     NA    1.000    1.000
## 40 sb_cc_2 ~~ sb_cc_2   0.520 0.028 18.509  0.000    0.465    0.576
## 41 sb_cc_3 ~~ sb_cc_3   0.484 0.029 16.689  0.000    0.428    0.541
## 42 conf1w1 ~1           3.973 0.074 53.713  0.000    3.828    4.118
## 43 conf2w1 ~1           3.750 0.074 50.458  0.000    3.604    3.895
## 44 conf1w2 ~1           3.248 0.062 52.107  0.000    3.125    3.370
## 45 conf2w2 ~1           3.014 0.057 52.982  0.000    2.903    3.126
## 46 conf1w3 ~1           2.804 0.058 48.110  0.000    2.689    2.918
## 47 conf2w3 ~1           2.587 0.050 51.595  0.000    2.489    2.686
## 48 sbcc1w1 ~1           2.213 0.033 66.145  0.000    2.148    2.279
## 49 sbcc2w1 ~1           2.453 0.038 64.869  0.000    2.379    2.527
## 50 sbcc1w2 ~1           2.194 0.035 63.435  0.000    2.126    2.262
## 51 sbcc2w2 ~1           2.332 0.038 61.512  0.000    2.258    2.407
## 52 sbcc1w3 ~1           2.242 0.039 56.961  0.000    2.165    2.320
## 53 sbcc2w3 ~1           2.318 0.042 55.728  0.000    2.237    2.400
## 54  conf_1 ~1           0.000 0.000     NA     NA    0.000    0.000
## 55  conf_2 ~1           0.000 0.000     NA     NA    0.000    0.000
## 56  conf_3 ~1           0.000 0.000     NA     NA    0.000    0.000
## 57 sb_cc_1 ~1           0.000 0.000     NA     NA    0.000    0.000
## 58 sb_cc_2 ~1           0.000 0.000     NA     NA    0.000    0.000
## 59 sb_cc_3 ~1           0.000 0.000     NA     NA    0.000    0.000

Confidence and Belonging PS

## Warning in lav_data_full(data = data, group = group, cluster = cluster, : lavaan WARNING: some cases are empty and will be ignored:
##   320 617 968 1056
## lavaan 0.6-6 ended normally after 74 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         77
##                                                       
##                                                   Used       Total
##   Number of observations                          1956        1960
##   Number of missing patterns                        60            
##                                                                   
## Model Test User Model:
##                                                       
##   Test statistic                              1460.476
##   Degrees of freedom                               175
##   P-value (Chi-square)                           0.000
## 
## Model Test Baseline Model:
## 
##   Test statistic                             17940.504
##   Degrees of freedom                               210
##   P-value                                        0.000
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    0.927
##   Tucker-Lewis Index (TLI)                       0.913
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -64248.955
##   Loglikelihood unrestricted model (H1)     -63518.717
##                                                       
##   Akaike (AIC)                              128651.909
##   Bayesian (BIC)                            129081.466
##   Sample-size adjusted Bayesian (BIC)       128836.834
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.061
##   90 Percent confidence interval - lower         0.058
##   90 Percent confidence interval - upper         0.064
##   P-value RMSEA <= 0.05                          0.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.050
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   conf_1 =~                                                             
##     conf1w1           1.000                               1.111    0.860
##     conf2w1           0.979    0.034   28.846    0.000    1.088    0.803
##   conf_2 =~                                                             
##     conf1w2           1.000                               1.288    0.879
##     conf2w2           1.012    0.026   38.302    0.000    1.303    0.848
##   conf_3 =~                                                             
##     conf1w3           1.000                               1.488    0.926
##     conf2w3           0.939    0.027   35.138    0.000    1.398    0.846
##   sb_ps_1 =~                                                            
##     sbps1w1           1.000                               1.267    0.639
##     sbps2w1           1.065    0.042   25.399    0.000    1.349    0.730
##     sbps3w1           1.273    0.047   27.322    0.000    1.613    0.838
##     sbiso1w1         -0.988    0.045  -21.859    0.000   -1.251   -0.606
##     sbiso2w1         -0.819    0.039  -21.107    0.000   -1.038   -0.586
##   sb_ps_2 =~                                                            
##     sbps1w2           1.000                               1.103    0.651
##     sbps2w2           1.252    0.047   26.884    0.000    1.381    0.774
##     sbps3w2           1.350    0.048   28.038    0.000    1.489    0.826
##     sbiso1w2         -1.125    0.051  -21.917    0.000   -1.241   -0.605
##     sbiso2w2         -1.049    0.049  -21.554    0.000   -1.157   -0.598
##   sb_ps_3 =~                                                            
##     sbps1w3           1.000                               1.268    0.742
##     sbps2w3           1.123    0.037   30.274    0.000    1.425    0.803
##     sbps3w3           1.215    0.037   32.677    0.000    1.541    0.878
##     sbiso1w3         -0.758    0.042  -18.042    0.000   -0.961   -0.485
##     sbiso2w3         -0.658    0.039  -16.708    0.000   -0.835   -0.449
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   conf_2 ~                                                              
##     conf_1            0.815    0.032   25.306    0.000    0.704    0.704
##     sb_ps_1          -0.011    0.024   -0.486    0.627   -0.011   -0.011
##   sb_ps_2 ~                                                             
##     conf_1            0.044    0.024    1.785    0.074    0.044    0.044
##     sb_ps_1           0.539    0.030   17.699    0.000    0.620    0.620
##   conf_3 ~                                                              
##     conf_2            0.847    0.030   28.195    0.000    0.733    0.733
##     sb_ps_2           0.041    0.031    1.301    0.193    0.030    0.030
##   sb_ps_3 ~                                                             
##     conf_2            0.134    0.025    5.284    0.000    0.136    0.136
##     sb_ps_2           0.751    0.040   18.988    0.000    0.653    0.653
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   conf_1 ~~                                                             
##     sb_ps_1           0.234    0.040    5.844    0.000    0.166    0.166
##  .conf_2 ~~                                                             
##    .sb_ps_2           0.138    0.028    4.932    0.000    0.176    0.176
##  .conf_3 ~~                                                             
##    .sb_ps_3           0.268    0.036    7.470    0.000    0.292    0.292
##  .sbiso1w1 ~~                                                           
##    .sbiso2w1          0.347    0.063    5.515    0.000    0.347    0.147
##  .sbiso1w2 ~~                                                           
##    .sbiso2w2          0.908    0.072   12.666    0.000    0.908    0.359
##  .sbiso1w3 ~~                                                           
##    .sbiso2w3          1.375    0.085   16.141    0.000    1.375    0.477
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .conf1w1           5.136    0.030  173.464    0.000    5.136    3.974
##    .conf2w1           5.077    0.031  163.548    0.000    5.077    3.751
##    .conf1w2           4.754    0.034  140.604    0.000    4.754    3.247
##    .conf2w2           4.629    0.036  130.284    0.000    4.629    3.013
##    .conf1w3           4.501    0.039  114.872    0.000    4.501    2.799
##    .conf2w3           4.270    0.041  105.355    0.000    4.270    2.584
##    .sbps1w1           4.878    0.046  107.102    0.000    4.878    2.461
##    .sbps2w1           4.208    0.042   99.109    0.000    4.208    2.278
##    .sbps3w1           4.192    0.044   94.932    0.000    4.192    2.179
##    .sbiso1w1          4.084    0.047   86.127    0.000    4.084    1.979
##    .sbiso2w1          3.512    0.041   86.237    0.000    3.512    1.983
##    .sbps1w2           5.526    0.039  140.223    0.000    5.526    3.261
##    .sbps2w2           4.815    0.041  116.401    0.000    4.815    2.700
##    .sbps3w2           4.902    0.042  117.352    0.000    4.902    2.719
##    .sbiso1w2          3.413    0.048   71.543    0.000    3.413    1.665
##    .sbiso2w2          3.410    0.045   75.639    0.000    3.410    1.762
##    .sbps1w3           5.286    0.043  124.298    0.000    5.286    3.092
##    .sbps2w3           4.647    0.044  105.529    0.000    4.647    2.617
##    .sbps3w3           4.905    0.043  113.200    0.000    4.905    2.794
##    .sbiso1w3          3.454    0.050   69.049    0.000    3.454    1.741
##    .sbiso2w3          3.654    0.047   77.816    0.000    3.654    1.966
##     conf_1            0.000                               0.000    0.000
##    .conf_2            0.000                               0.000    0.000
##    .conf_3            0.000                               0.000    0.000
##     sb_ps_1           0.000                               0.000    0.000
##    .sb_ps_2           0.000                               0.000    0.000
##    .sb_ps_3           0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .conf1w1           0.436    0.038   11.379    0.000    0.436    0.261
##    .conf2w1           0.650    0.040   16.200    0.000    0.650    0.355
##    .conf1w2           0.486    0.036   13.627    0.000    0.486    0.227
##    .conf2w2           0.662    0.040   16.763    0.000    0.662    0.281
##    .conf1w3           0.370    0.049    7.545    0.000    0.370    0.143
##    .conf2w3           0.778    0.050   15.518    0.000    0.778    0.285
##    .sbps1w1           2.324    0.087   26.760    0.000    2.324    0.592
##    .sbps2w1           1.592    0.066   24.093    0.000    1.592    0.467
##    .sbps3w1           1.100    0.064   17.206    0.000    1.100    0.297
##    .sbiso1w1          2.691    0.099   27.196    0.000    2.691    0.632
##    .sbiso2w1          2.059    0.075   27.392    0.000    2.059    0.657
##    .sbps1w2           1.656    0.063   26.493    0.000    1.656    0.576
##    .sbps2w2           1.274    0.056   22.687    0.000    1.274    0.401
##    .sbps3w2           1.034    0.053   19.401    0.000    1.034    0.318
##    .sbiso1w2          2.663    0.098   27.150    0.000    2.663    0.634
##    .sbiso2w2          2.406    0.088   27.220    0.000    2.406    0.643
##    .sbps1w3           1.313    0.057   22.992    0.000    1.313    0.449
##    .sbps2w3           1.122    0.054   20.683    0.000    1.122    0.356
##    .sbps3w3           0.707    0.048   14.822    0.000    0.707    0.229
##    .sbiso1w3          3.010    0.113   26.607    0.000    3.010    0.765
##    .sbiso2w3          2.755    0.103   26.800    0.000    2.755    0.798
##     conf_1            1.235    0.063   19.496    0.000    1.000    1.000
##    .conf_2            0.841    0.050   16.795    0.000    0.507    0.507
##    .conf_3            1.005    0.064   15.609    0.000    0.454    0.454
##     sb_ps_1           1.605    0.112   14.382    0.000    1.000    1.000
##    .sb_ps_2           0.736    0.054   13.676    0.000    0.605    0.605
##    .sb_ps_3           0.837    0.058   14.447    0.000    0.520    0.520
##         lhs op      rhs est.std    se       z pvalue ci.lower ci.upper
## 1    conf_1 =~  conf1w1   0.860 0.014  62.514  0.000    0.833    0.887
## 2    conf_1 =~  conf2w1   0.803 0.014  56.808  0.000    0.776    0.831
## 3    conf_2 =~  conf1w2   0.879 0.010  88.335  0.000    0.860    0.899
## 4    conf_2 =~  conf2w2   0.848 0.011  80.707  0.000    0.828    0.869
## 5    conf_3 =~  conf1w3   0.926 0.011  87.860  0.000    0.905    0.946
## 6    conf_3 =~  conf2w3   0.846 0.012  72.737  0.000    0.823    0.869
## 7   sb_ps_1 =~  sbps1w1   0.639 0.016  39.841  0.000    0.608    0.671
## 8   sb_ps_1 =~  sbps2w1   0.730 0.014  54.060  0.000    0.704    0.757
## 9   sb_ps_1 =~  sbps3w1   0.838 0.011  76.679  0.000    0.817    0.860
## 10  sb_ps_1 =~ sbiso1w1  -0.606 0.017 -35.540  0.000   -0.640   -0.573
## 11  sb_ps_1 =~ sbiso2w1  -0.586 0.018 -33.095  0.000   -0.621   -0.551
## 12  sb_ps_2 =~  sbps1w2   0.651 0.016  41.540  0.000    0.620    0.682
## 13  sb_ps_2 =~  sbps2w2   0.774 0.012  64.498  0.000    0.751    0.798
## 14  sb_ps_2 =~  sbps3w2   0.826 0.011  77.670  0.000    0.805    0.847
## 15  sb_ps_2 =~ sbiso1w2  -0.605 0.017 -35.550  0.000   -0.639   -0.572
## 16  sb_ps_2 =~ sbiso2w2  -0.598 0.017 -34.682  0.000   -0.632   -0.564
## 17  sb_ps_3 =~  sbps1w3   0.742 0.014  54.719  0.000    0.715    0.769
## 18  sb_ps_3 =~  sbps2w3   0.803 0.011  69.858  0.000    0.780    0.825
## 19  sb_ps_3 =~  sbps3w3   0.878 0.009  92.984  0.000    0.859    0.896
## 20  sb_ps_3 =~ sbiso1w3  -0.485 0.021 -22.845  0.000   -0.526   -0.443
## 21  sb_ps_3 =~ sbiso2w3  -0.449 0.022 -20.396  0.000   -0.493   -0.406
## 22   conf_2  ~   conf_1   0.704 0.018  39.986  0.000    0.669    0.738
## 23   conf_2  ~  sb_ps_1  -0.011 0.023  -0.485  0.627   -0.057    0.034
## 24  sb_ps_2  ~   conf_1   0.044 0.025   1.787  0.074   -0.004    0.092
## 25  sb_ps_2  ~  sb_ps_1   0.620 0.020  31.029  0.000    0.580    0.659
## 26   conf_3  ~   conf_2   0.733 0.017  43.068  0.000    0.699    0.766
## 27   conf_3  ~  sb_ps_2   0.030 0.023   1.302  0.193   -0.015    0.075
## 28  sb_ps_3  ~   conf_2   0.136 0.025   5.370  0.000    0.087    0.186
## 29  sb_ps_3  ~  sb_ps_2   0.653 0.020  33.103  0.000    0.615    0.692
## 30   conf_1 ~~  sb_ps_1   0.166 0.027   6.139  0.000    0.113    0.219
## 31   conf_2 ~~  sb_ps_2   0.176 0.034   5.131  0.000    0.109    0.243
## 32   conf_3 ~~  sb_ps_3   0.292 0.035   8.400  0.000    0.224    0.360
## 33 sbiso1w1 ~~ sbiso2w1   0.147 0.025   5.857  0.000    0.098    0.197
## 34 sbiso1w2 ~~ sbiso2w2   0.359 0.022  16.157  0.000    0.315    0.402
## 35 sbiso1w3 ~~ sbiso2w3   0.477 0.020  23.627  0.000    0.438    0.517
## 36  conf1w1 ~~  conf1w1   0.261 0.024  11.025  0.000    0.214    0.307
## 37  conf2w1 ~~  conf2w1   0.355 0.023  15.603  0.000    0.310    0.399
## 38  conf1w2 ~~  conf1w2   0.227 0.018  12.948  0.000    0.192    0.261
## 39  conf2w2 ~~  conf2w2   0.281 0.018  15.739  0.000    0.246    0.316
## 40  conf1w3 ~~  conf1w3   0.143 0.020   7.339  0.000    0.105    0.181
## 41  conf2w3 ~~  conf2w3   0.285 0.020  14.476  0.000    0.246    0.323
## 42  sbps1w1 ~~  sbps1w1   0.592 0.021  28.845  0.000    0.551    0.632
## 43  sbps2w1 ~~  sbps2w1   0.467 0.020  23.644  0.000    0.428    0.505
## 44  sbps3w1 ~~  sbps3w1   0.297 0.018  16.202  0.000    0.261    0.333
## 45 sbiso1w1 ~~ sbiso1w1   0.632 0.021  30.542  0.000    0.592    0.673
## 46 sbiso2w1 ~~ sbiso2w1   0.657 0.021  31.649  0.000    0.616    0.697
## 47  sbps1w2 ~~  sbps1w2   0.576 0.020  28.270  0.000    0.536    0.616
## 48  sbps2w2 ~~  sbps2w2   0.401 0.019  21.545  0.000    0.364    0.437
## 49  sbps3w2 ~~  sbps3w2   0.318 0.018  18.111  0.000    0.284    0.352
## 50 sbiso1w2 ~~ sbiso1w2   0.634 0.021  30.735  0.000    0.593    0.674
## 51 sbiso2w2 ~~ sbiso2w2   0.643 0.021  31.181  0.000    0.602    0.683
## 52  sbps1w3 ~~  sbps1w3   0.449 0.020  22.328  0.000    0.410    0.489
## 53  sbps2w3 ~~  sbps2w3   0.356 0.018  19.293  0.000    0.320    0.392
## 54  sbps3w3 ~~  sbps3w3   0.229 0.017  13.843  0.000    0.197    0.262
## 55 sbiso1w3 ~~ sbiso1w3   0.765 0.021  37.215  0.000    0.725    0.805
## 56 sbiso2w3 ~~ sbiso2w3   0.798 0.020  40.300  0.000    0.759    0.837
## 57   conf_1 ~~   conf_1   1.000 0.000      NA     NA    1.000    1.000
## 58   conf_2 ~~   conf_2   0.507 0.024  21.270  0.000    0.461    0.554
## 59   conf_3 ~~   conf_3   0.454 0.024  19.077  0.000    0.407    0.500
## 60  sb_ps_1 ~~  sb_ps_1   1.000 0.000      NA     NA    1.000    1.000
## 61  sb_ps_2 ~~  sb_ps_2   0.605 0.024  25.145  0.000    0.558    0.652
## 62  sb_ps_3 ~~  sb_ps_3   0.520 0.025  20.914  0.000    0.471    0.569
## 63  conf1w1 ~1            3.974 0.068  58.015  0.000    3.840    4.108
## 64  conf2w1 ~1            3.751 0.065  57.588  0.000    3.623    3.878
## 65  conf1w2 ~1            3.247 0.058  55.861  0.000    3.133    3.361
## 66  conf2w2 ~1            3.013 0.055  54.915  0.000    2.906    3.121
## 67  conf1w3 ~1            2.799 0.057  49.506  0.000    2.688    2.910
## 68  conf2w3 ~1            2.584 0.053  48.467  0.000    2.479    2.688
## 69  sbps1w1 ~1            2.461 0.046  53.260  0.000    2.370    2.551
## 70  sbps2w1 ~1            2.278 0.044  52.148  0.000    2.193    2.364
## 71  sbps3w1 ~1            2.179 0.042  51.550  0.000    2.096    2.261
## 72 sbiso1w1 ~1            1.979 0.040  50.009  0.000    1.902    2.057
## 73 sbiso2w1 ~1            1.983 0.040  50.012  0.000    1.905    2.061
## 74  sbps1w2 ~1            3.261 0.059  55.593  0.000    3.146    3.376
## 75  sbps2w2 ~1            2.700 0.050  53.749  0.000    2.601    2.798
## 76  sbps3w2 ~1            2.719 0.050  53.859  0.000    2.620    2.818
## 77 sbiso1w2 ~1            1.665 0.036  46.203  0.000    1.594    1.736
## 78 sbiso2w2 ~1            1.762 0.037  47.208  0.000    1.689    1.836
## 79  sbps1w3 ~1            3.092 0.061  50.456  0.000    2.972    3.212
## 80  sbps2w3 ~1            2.617 0.054  48.855  0.000    2.512    2.722
## 81  sbps3w3 ~1            2.794 0.056  49.702  0.000    2.684    2.904
## 82 sbiso1w3 ~1            1.741 0.040  43.826  0.000    1.663    1.819
## 83 sbiso2w3 ~1            1.966 0.043  45.736  0.000    1.882    2.051
## 84   conf_1 ~1            0.000 0.000      NA     NA    0.000    0.000
## 85   conf_2 ~1            0.000 0.000      NA     NA    0.000    0.000
## 86   conf_3 ~1            0.000 0.000      NA     NA    0.000    0.000
## 87  sb_ps_1 ~1            0.000 0.000      NA     NA    0.000    0.000
## 88  sb_ps_2 ~1            0.000 0.000      NA     NA    0.000    0.000
## 89  sb_ps_3 ~1            0.000 0.000      NA     NA    0.000    0.000

Confidence and Belonging FS

## Warning in lav_data_full(data = data, group = group, cluster = cluster, : lavaan WARNING: some cases are empty and will be ignored:
##   320 617 968 1056
## lavaan 0.6-6 ended normally after 69 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         65
##                                                       
##                                                   Used       Total
##   Number of observations                          1956        1960
##   Number of missing patterns                        59            
##                                                                   
## Model Test User Model:
##                                                       
##   Test statistic                              1206.525
##   Degrees of freedom                               124
##   P-value (Chi-square)                           0.000
## 
## Model Test Baseline Model:
## 
##   Test statistic                             16157.099
##   Degrees of freedom                               153
##   P-value                                        0.000
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    0.932
##   Tucker-Lewis Index (TLI)                       0.917
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -51443.554
##   Loglikelihood unrestricted model (H1)     -50840.291
##                                                       
##   Akaike (AIC)                              103017.108
##   Bayesian (BIC)                            103379.720
##   Sample-size adjusted Bayesian (BIC)       103173.213
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.067
##   90 Percent confidence interval - lower         0.063
##   90 Percent confidence interval - upper         0.070
##   P-value RMSEA <= 0.05                          0.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.045
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   conf_1 =~                                                             
##     conf1w1           1.000                               1.118    0.865
##     conf2w1           0.967    0.031   30.975    0.000    1.081    0.799
##   conf_2 =~                                                             
##     conf1w2           1.000                               1.298    0.887
##     conf2w2           0.995    0.025   39.502    0.000    1.292    0.841
##   conf_3 =~                                                             
##     conf1w3           1.000                               1.495    0.930
##     conf2w3           0.930    0.025   37.336    0.000    1.391    0.842
##   sb_fs_1 =~                                                            
##     sbfs1w1           1.000                               1.342    0.857
##     sbfs2w1           0.941    0.026   36.623    0.000    1.263    0.804
##     sbfs3w1           0.727    0.031   23.809    0.000    0.976    0.554
##     sbfu1w1           0.627    0.024   25.621    0.000    0.842    0.588
##   sb_fs_2 =~                                                            
##     sbfs1w2           1.000                               1.403    0.850
##     sbfs2w2           0.974    0.025   38.934    0.000    1.367    0.819
##     sbfs3w2           0.735    0.029   25.079    0.000    1.032    0.574
##     sbfu1w2           0.601    0.024   25.060    0.000    0.844    0.578
##   sb_fs_3 =~                                                            
##     sbfs1w3           1.000                               1.456    0.884
##     sbfs2w3           0.945    0.025   37.349    0.000    1.376    0.827
##     sbfs3w3           0.764    0.030   25.319    0.000    1.113    0.606
##     sbfu1w3           0.728    0.026   27.781    0.000    1.060    0.656
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   conf_2 ~                                                              
##     conf_1            0.802    0.036   22.273    0.000    0.691    0.691
##     sb_fs_1           0.016    0.026    0.626    0.531    0.017    0.017
##   sb_fs_2 ~                                                             
##     conf_1            0.105    0.035    3.007    0.003    0.084    0.084
##     sb_fs_1           0.641    0.031   20.412    0.000    0.613    0.613
##   conf_3 ~                                                              
##     conf_2            0.786    0.034   23.354    0.000    0.683    0.683
##     sb_fs_2           0.112    0.029    3.902    0.000    0.106    0.106
##   sb_fs_3 ~                                                             
##     conf_2            0.152    0.034    4.493    0.000    0.135    0.135
##     sb_fs_2           0.623    0.033   18.847    0.000    0.601    0.601
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   conf_1 ~~                                                             
##     sb_fs_1           0.701    0.046   15.328    0.000    0.467    0.467
##  .conf_2 ~~                                                             
##    .sb_fs_2           0.408    0.037   11.180    0.000    0.416    0.416
##  .conf_3 ~~                                                             
##    .sb_fs_3           0.455    0.042   10.938    0.000    0.423    0.423
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .conf1w1           5.136    0.030  173.443    0.000    5.136    3.973
##    .conf2w1           5.077    0.031  163.528    0.000    5.077    3.750
##    .conf1w2           4.754    0.034  140.679    0.000    4.754    3.248
##    .conf2w2           4.630    0.036  130.317    0.000    4.630    3.014
##    .conf1w3           4.500    0.039  115.087    0.000    4.500    2.799
##    .conf2w3           4.271    0.040  105.465    0.000    4.271    2.585
##    .sbfs1w1           4.789    0.036  133.246    0.000    4.789    3.057
##    .sbfs2w1           4.980    0.036  138.022    0.000    4.980    3.169
##    .sbfs3w1           3.217    0.040   79.472    0.000    3.217    1.828
##    .sbfu1w1           5.338    0.033  161.916    0.000    5.338    3.729
##    .sbfs1w2           4.475    0.038  117.082    0.000    4.475    2.710
##    .sbfs2w2           4.844    0.039  125.364    0.000    4.844    2.902
##    .sbfs3w2           3.106    0.042   74.115    0.000    3.106    1.728
##    .sbfu1w2           5.184    0.034  152.304    0.000    5.184    3.548
##    .sbfs1w3           4.274    0.041  105.309    0.000    4.274    2.597
##    .sbfs2w3           4.618    0.041  112.133    0.000    4.618    2.776
##    .sbfs3w3           3.076    0.046   66.682    0.000    3.076    1.675
##    .sbfu1w3           4.649    0.040  114.810    0.000    4.649    2.875
##     conf_1            0.000                               0.000    0.000
##    .conf_2            0.000                               0.000    0.000
##    .conf_3            0.000                               0.000    0.000
##     sb_fs_1           0.000                               0.000    0.000
##    .sb_fs_2           0.000                               0.000    0.000
##    .sb_fs_3           0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .conf1w1           0.420    0.035   11.990    0.000    0.420    0.252
##    .conf2w1           0.664    0.037   17.893    0.000    0.664    0.362
##    .conf1w2           0.458    0.034   13.460    0.000    0.458    0.214
##    .conf2w2           0.689    0.038   18.119    0.000    0.689    0.292
##    .conf1w3           0.349    0.044    7.854    0.000    0.349    0.135
##    .conf2w3           0.796    0.047   17.053    0.000    0.796    0.292
##    .sbfs1w1           0.651    0.040   16.171    0.000    0.651    0.265
##    .sbfs2w1           0.874    0.042   20.838    0.000    0.874    0.354
##    .sbfs3w1           2.145    0.076   28.381    0.000    2.145    0.693
##    .sbfu1w1           1.341    0.048   27.932    0.000    1.341    0.654
##    .sbfs1w2           0.759    0.042   17.978    0.000    0.759    0.278
##    .sbfs2w2           0.916    0.044   20.735    0.000    0.916    0.329
##    .sbfs3w2           2.167    0.078   27.910    0.000    2.167    0.671
##    .sbfu1w2           1.423    0.051   27.892    0.000    1.423    0.666
##    .sbfs1w3           0.591    0.041   14.267    0.000    0.591    0.218
##    .sbfs2w3           0.874    0.046   19.081    0.000    0.874    0.316
##    .sbfs3w3           2.134    0.083   25.681    0.000    2.134    0.633
##    .sbfu1w3           1.490    0.060   25.023    0.000    1.490    0.570
##     conf_1            1.251    0.062   20.271    0.000    1.000    1.000
##    .conf_2            0.862    0.051   17.069    0.000    0.512    0.512
##    .conf_3            1.010    0.063   16.131    0.000    0.452    0.452
##     sb_fs_1           1.802    0.084   21.366    0.000    1.000    1.000
##    .sb_fs_2           1.120    0.065   17.261    0.000    0.569    0.569
##    .sb_fs_3           1.146    0.066   17.240    0.000    0.541    0.541
##        lhs op     rhs est.std    se      z pvalue ci.lower ci.upper
## 1   conf_1 =~ conf1w1   0.865 0.013 68.804  0.000    0.841    0.890
## 2   conf_1 =~ conf2w1   0.799 0.013 60.312  0.000    0.773    0.824
## 3   conf_2 =~ conf1w2   0.887 0.009 94.068  0.000    0.868    0.905
## 4   conf_2 =~ conf2w2   0.841 0.010 81.961  0.000    0.821    0.861
## 5   conf_3 =~ conf1w3   0.930 0.010 97.555  0.000    0.911    0.949
## 6   conf_3 =~ conf2w3   0.842 0.011 76.617  0.000    0.820    0.863
## 7  sb_fs_1 =~ sbfs1w1   0.857 0.010 84.192  0.000    0.837    0.877
## 8  sb_fs_1 =~ sbfs2w1   0.804 0.011 71.435  0.000    0.782    0.826
## 9  sb_fs_1 =~ sbfs3w1   0.554 0.018 30.797  0.000    0.519    0.590
## 10 sb_fs_1 =~ sbfu1w1   0.588 0.017 34.261  0.000    0.554    0.622
## 11 sb_fs_2 =~ sbfs1w2   0.850 0.010 86.879  0.000    0.830    0.869
## 12 sb_fs_2 =~ sbfs2w2   0.819 0.010 78.660  0.000    0.799    0.840
## 13 sb_fs_2 =~ sbfs3w2   0.574 0.018 32.723  0.000    0.540    0.608
## 14 sb_fs_2 =~ sbfu1w2   0.578 0.017 33.101  0.000    0.543    0.612
## 15 sb_fs_3 =~ sbfs1w3   0.884 0.009 95.441  0.000    0.866    0.902
## 16 sb_fs_3 =~ sbfs2w3   0.827 0.011 76.180  0.000    0.806    0.848
## 17 sb_fs_3 =~ sbfs3w3   0.606 0.018 33.701  0.000    0.571    0.641
## 18 sb_fs_3 =~ sbfu1w3   0.656 0.016 40.022  0.000    0.624    0.688
## 19  conf_2  ~  conf_1   0.691 0.023 30.402  0.000    0.646    0.735
## 20  conf_2  ~ sb_fs_1   0.017 0.027  0.626  0.531   -0.036    0.070
## 21 sb_fs_2  ~  conf_1   0.084 0.028  3.019  0.003    0.029    0.138
## 22 sb_fs_2  ~ sb_fs_1   0.613 0.024 25.556  0.000    0.566    0.660
## 23  conf_3  ~  conf_2   0.683 0.023 30.077  0.000    0.638    0.727
## 24  conf_3  ~ sb_fs_2   0.106 0.027  3.919  0.000    0.053    0.158
## 25 sb_fs_3  ~  conf_2   0.135 0.030  4.536  0.000    0.077    0.194
## 26 sb_fs_3  ~ sb_fs_2   0.601 0.026 23.320  0.000    0.550    0.651
## 27  conf_1 ~~ sb_fs_1   0.467 0.023 20.439  0.000    0.422    0.512
## 28  conf_2 ~~ sb_fs_2   0.416 0.031 13.468  0.000    0.355    0.476
## 29  conf_3 ~~ sb_fs_3   0.423 0.031 13.514  0.000    0.362    0.484
## 30 conf1w1 ~~ conf1w1   0.252 0.022 11.561  0.000    0.209    0.294
## 31 conf2w1 ~~ conf2w1   0.362 0.021 17.136  0.000    0.321    0.404
## 32 conf1w2 ~~ conf1w2   0.214 0.017 12.771  0.000    0.181    0.246
## 33 conf2w2 ~~ conf2w2   0.292 0.017 16.916  0.000    0.258    0.326
## 34 conf1w3 ~~ conf1w3   0.135 0.018  7.623  0.000    0.100    0.170
## 35 conf2w3 ~~ conf2w3   0.292 0.018 15.762  0.000    0.255    0.328
## 36 sbfs1w1 ~~ sbfs1w1   0.265 0.017 15.211  0.000    0.231    0.300
## 37 sbfs2w1 ~~ sbfs2w1   0.354 0.018 19.583  0.000    0.319    0.390
## 38 sbfs3w1 ~~ sbfs3w1   0.693 0.020 34.712  0.000    0.654    0.732
## 39 sbfu1w1 ~~ sbfu1w1   0.654 0.020 32.424  0.000    0.615    0.694
## 40 sbfs1w2 ~~ sbfs1w2   0.278 0.017 16.738  0.000    0.246    0.311
## 41 sbfs2w2 ~~ sbfs2w2   0.329 0.017 19.283  0.000    0.296    0.362
## 42 sbfs3w2 ~~ sbfs3w2   0.671 0.020 33.303  0.000    0.631    0.710
## 43 sbfu1w2 ~~ sbfu1w2   0.666 0.020 33.057  0.000    0.627    0.706
## 44 sbfs1w3 ~~ sbfs1w3   0.218 0.016 13.311  0.000    0.186    0.250
## 45 sbfs2w3 ~~ sbfs2w3   0.316 0.018 17.593  0.000    0.281    0.351
## 46 sbfs3w3 ~~ sbfs3w3   0.633 0.022 29.059  0.000    0.590    0.676
## 47 sbfu1w3 ~~ sbfu1w3   0.570 0.021 26.517  0.000    0.528    0.612
## 48  conf_1 ~~  conf_1   1.000 0.000     NA     NA    1.000    1.000
## 49  conf_2 ~~  conf_2   0.512 0.024 21.548  0.000    0.465    0.558
## 50  conf_3 ~~  conf_3   0.452 0.023 19.416  0.000    0.406    0.498
## 51 sb_fs_1 ~~ sb_fs_1   1.000 0.000     NA     NA    1.000    1.000
## 52 sb_fs_2 ~~ sb_fs_2   0.569 0.024 24.158  0.000    0.523    0.615
## 53 sb_fs_3 ~~ sb_fs_3   0.541 0.024 22.202  0.000    0.493    0.589
## 54 conf1w1 ~1           3.973 0.068 58.003  0.000    3.839    4.107
## 55 conf2w1 ~1           3.750 0.065 57.578  0.000    3.622    3.878
## 56 conf1w2 ~1           3.248 0.058 55.893  0.000    3.134    3.361
## 57 conf2w2 ~1           3.014 0.055 54.934  0.000    2.907    3.122
## 58 conf1w3 ~1           2.799 0.056 49.597  0.000    2.689    2.910
## 59 conf2w3 ~1           2.585 0.053 48.514  0.000    2.480    2.689
## 60 sbfs1w1 ~1           3.057 0.055 55.654  0.000    2.950    3.165
## 61 sbfs2w1 ~1           3.169 0.057 56.038  0.000    3.058    3.280
## 62 sbfs3w1 ~1           1.828 0.038 48.511  0.000    1.754    1.902
## 63 sbfu1w1 ~1           3.729 0.065 57.211  0.000    3.601    3.857
## 64 sbfs1w2 ~1           2.710 0.050 53.977  0.000    2.611    2.808
## 65 sbfs2w2 ~1           2.902 0.053 54.722  0.000    2.798    3.006
## 66 sbfs3w2 ~1           1.728 0.037 46.945  0.000    1.656    1.800
## 67 sbfu1w2 ~1           3.548 0.063 56.263  0.000    3.424    3.671
## 68 sbfs1w3 ~1           2.597 0.053 48.670  0.000    2.492    2.701
## 69 sbfs2w3 ~1           2.776 0.056 49.287  0.000    2.665    2.886
## 70 sbfs3w3 ~1           1.675 0.040 42.003  0.000    1.597    1.753
## 71 sbfu1w3 ~1           2.875 0.058 49.414  0.000    2.761    2.990
## 72  conf_1 ~1           0.000 0.000     NA     NA    0.000    0.000
## 73  conf_2 ~1           0.000 0.000     NA     NA    0.000    0.000
## 74  conf_3 ~1           0.000 0.000     NA     NA    0.000    0.000
## 75 sb_fs_1 ~1           0.000 0.000     NA     NA    0.000    0.000
## 76 sb_fs_2 ~1           0.000 0.000     NA     NA    0.000    0.000
## 77 sb_fs_3 ~1           0.000 0.000     NA     NA    0.000    0.000

Interest and Belonging CC

## Warning in lav_data_full(data = data, group = group, cluster = cluster, : lavaan WARNING: some cases are empty and will be ignored:
##   320 617 968 1056
## lavaan 0.6-6 ended normally after 77 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         56
##                                                       
##                                                   Used       Total
##   Number of observations                          1956        1960
##   Number of clusters [id]                         1960            
##   Number of missing patterns                        45            
##                                                                   
## Model Test User Model:
##                                                Standard      Robust
##   Test Statistic                                633.161     552.146
##   Degrees of freedom                                 79          79
##   P-value (Chi-square)                            0.000       0.000
##   Scaling correction factor                                   1.147
##        Yuan-Bentler correction (Mplus variant)                     
## 
## Model Test Baseline Model:
## 
##   Test statistic                             14603.603   11295.826
##   Degrees of freedom                               105         105
##   P-value                                        0.000       0.000
##   Scaling correction factor                                  1.293
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    0.962       0.958
##   Tucker-Lewis Index (TLI)                       0.949       0.944
##                                                                   
##   Robust Comparative Fit Index (CFI)                         0.962
##   Robust Tucker-Lewis Index (TLI)                            0.950
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -38480.784  -38480.784
##   Scaling correction factor                                  1.356
##       for the MLR correction                                      
##   Loglikelihood unrestricted model (H1)     -38164.203  -38164.203
##   Scaling correction factor                                  1.234
##       for the MLR correction                                      
##                                                                   
##   Akaike (AIC)                               77073.568   77073.568
##   Bayesian (BIC)                             77385.972   77385.972
##   Sample-size adjusted Bayesian (BIC)        77208.059   77208.059
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.060       0.055
##   90 Percent confidence interval - lower         0.056       0.051
##   90 Percent confidence interval - upper         0.064       0.059
##   P-value RMSEA <= 0.05                          0.000       0.015
##                                                                   
##   Robust RMSEA                                               0.059
##   90 Percent confidence interval - lower                     0.055
##   90 Percent confidence interval - upper                     0.064
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.034       0.034
## 
## Parameter Estimates:
## 
##   Standard errors                        Robust.cluster
##   Information                                  Observed
##   Observed information based on                 Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   int_1 =~                                                              
##     int5w1            1.000                               0.913    0.842
##     int6w1            0.895    0.025   36.203    0.000    0.817    0.739
##     int7w1            0.871    0.028   31.543    0.000    0.795    0.758
##   int_2 =~                                                              
##     int5w2            1.000                               1.037    0.858
##     int6w2            0.954    0.026   36.697    0.000    0.989    0.778
##     int7w2            0.894    0.025   35.530    0.000    0.927    0.796
##   int_3 =~                                                              
##     int5w3            1.000                               1.115    0.883
##     int6w3            0.943    0.028   33.388    0.000    1.052    0.783
##     int7w3            0.847    0.028   30.752    0.000    0.945    0.788
##   sb_cc_1 =~                                                            
##     sbcc1w1           1.000                               1.463    0.871
##     sbcc2w1           0.959    0.030   31.941    0.000    1.404    0.841
##   sb_cc_2 =~                                                            
##     sbcc1w2           1.000                               1.478    0.850
##     sbcc2w2           0.998    0.028   35.753    0.000    1.474    0.838
##   sb_cc_3 =~                                                            
##     sbcc1w3           1.000                               1.478    0.848
##     sbcc2w3           1.019    0.033   31.214    0.000    1.506    0.871
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   int_2 ~                                                               
##     int_1             0.848    0.035   24.088    0.000    0.746    0.746
##     sb_cc_1          -0.010    0.018   -0.589    0.556   -0.015   -0.015
##   sb_cc_2 ~                                                             
##     int_1             0.064    0.042    1.506    0.132    0.039    0.039
##     sb_cc_1           0.687    0.030   22.961    0.000    0.680    0.680
##   int_3 ~                                                               
##     int_2             0.856    0.035   24.479    0.000    0.796    0.796
##     sb_cc_2           0.040    0.019    2.086    0.037    0.053    0.053
##   sb_cc_3 ~                                                             
##     int_2             0.140    0.041    3.367    0.001    0.098    0.098
##     sb_cc_2           0.683    0.034   20.316    0.000    0.683    0.683
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   int_1 ~~                                                              
##     sb_cc_1           0.455    0.037   12.177    0.000    0.340    0.340
##  .int_2 ~~                                                              
##    .sb_cc_2           0.234    0.032    7.315    0.000    0.316    0.316
##  .int_3 ~~                                                              
##    .sb_cc_3           0.159    0.033    4.749    0.000    0.241    0.241
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .int5w1            5.802    0.025  233.569    0.000    5.802    5.353
##    .int6w1            5.794    0.025  228.463    0.000    5.794    5.236
##    .int7w1            5.133    0.024  213.629    0.000    5.133    4.892
##    .int5w2            5.655    0.028  203.216    0.000    5.655    4.680
##    .int6w2            5.690    0.029  193.638    0.000    5.690    4.472
##    .int7w2            5.022    0.027  186.562    0.000    5.022    4.310
##    .int5w3            5.500    0.031  177.949    0.000    5.500    4.355
##    .int6w3            5.535    0.033  165.912    0.000    5.535    4.121
##    .int7w3            4.823    0.029  164.913    0.000    4.823    4.022
##    .sbcc1w1           3.716    0.038   96.560    0.000    3.716    2.213
##    .sbcc2w1           4.093    0.038  106.888    0.000    4.093    2.453
##    .sbcc1w2           3.811    0.040   94.783    0.000    3.811    2.193
##    .sbcc2w2           4.102    0.041  100.668    0.000    4.102    2.332
##    .sbcc1w3           3.901    0.043   91.204    0.000    3.901    2.238
##    .sbcc2w3           4.002    0.042   94.325    0.000    4.002    2.314
##     int_1             0.000                               0.000    0.000
##    .int_2             0.000                               0.000    0.000
##    .int_3             0.000                               0.000    0.000
##     sb_cc_1           0.000                               0.000    0.000
##    .sb_cc_2           0.000                               0.000    0.000
##    .sb_cc_3           0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .int5w1            0.341    0.030   11.530    0.000    0.341    0.291
##    .int6w1            0.556    0.027   20.413    0.000    0.556    0.454
##    .int7w1            0.468    0.034   13.944    0.000    0.468    0.425
##    .int5w2            0.384    0.025   15.113    0.000    0.384    0.263
##    .int6w2            0.640    0.036   17.926    0.000    0.640    0.395
##    .int7w2            0.498    0.037   13.547    0.000    0.498    0.367
##    .int5w3            0.351    0.026   13.631    0.000    0.351    0.220
##    .int6w3            0.697    0.044   15.968    0.000    0.697    0.387
##    .int7w3            0.545    0.043   12.599    0.000    0.545    0.379
##    .sbcc1w1           0.680    0.073    9.326    0.000    0.680    0.241
##    .sbcc2w1           0.814    0.065   12.524    0.000    0.814    0.292
##    .sbcc1w2           0.836    0.072   11.670    0.000    0.836    0.277
##    .sbcc2w2           0.922    0.075   12.373    0.000    0.922    0.298
##    .sbcc1w3           0.854    0.087    9.857    0.000    0.854    0.281
##    .sbcc2w3           0.721    0.081    8.935    0.000    0.721    0.241
##     int_1             0.833    0.045   18.583    0.000    1.000    1.000
##    .int_2             0.484    0.049    9.890    0.000    0.450    0.450
##    .int_3             0.415    0.038   10.818    0.000    0.334    0.334
##     sb_cc_1           2.141    0.099   21.595    0.000    1.000    1.000
##    .sb_cc_2           1.130    0.080   14.136    0.000    0.517    0.517
##    .sb_cc_3           1.043    0.079   13.149    0.000    0.478    0.478
##        lhs op     rhs est.std    se      z pvalue ci.lower ci.upper
## 1    int_1 =~  int5w1   0.842 0.014 58.894  0.000    0.814    0.870
## 2    int_1 =~  int6w1   0.739 0.015 49.102  0.000    0.709    0.768
## 3    int_1 =~  int7w1   0.758 0.017 44.710  0.000    0.725    0.791
## 4    int_2 =~  int5w2   0.858 0.011 77.593  0.000    0.837    0.880
## 5    int_2 =~  int6w2   0.778 0.015 52.092  0.000    0.748    0.807
## 6    int_2 =~  int7w2   0.796 0.016 49.855  0.000    0.765    0.827
## 7    int_3 =~  int5w3   0.883 0.010 89.406  0.000    0.864    0.902
## 8    int_3 =~  int6w3   0.783 0.016 48.918  0.000    0.752    0.815
## 9    int_3 =~  int7w3   0.788 0.017 45.039  0.000    0.754    0.822
## 10 sb_cc_1 =~ sbcc1w1   0.871 0.015 58.208  0.000    0.842    0.901
## 11 sb_cc_1 =~ sbcc2w1   0.841 0.014 59.530  0.000    0.813    0.869
## 12 sb_cc_2 =~ sbcc1w2   0.850 0.014 59.701  0.000    0.823    0.878
## 13 sb_cc_2 =~ sbcc2w2   0.838 0.015 57.400  0.000    0.809    0.866
## 14 sb_cc_3 =~ sbcc1w3   0.848 0.017 50.243  0.000    0.815    0.881
## 15 sb_cc_3 =~ sbcc2w3   0.871 0.016 55.642  0.000    0.840    0.902
## 16   int_2  ~   int_1   0.746 0.023 33.020  0.000    0.702    0.791
## 17   int_2  ~ sb_cc_1  -0.015 0.025 -0.590  0.555   -0.064    0.034
## 18 sb_cc_2  ~   int_1   0.039 0.026  1.513  0.130   -0.012    0.091
## 19 sb_cc_2  ~ sb_cc_1   0.680 0.023 29.309  0.000    0.635    0.726
## 20   int_3  ~   int_2   0.796 0.021 38.151  0.000    0.756    0.837
## 21   int_3  ~ sb_cc_2   0.053 0.025  2.087  0.037    0.003    0.102
## 22 sb_cc_3  ~   int_2   0.098 0.029  3.384  0.001    0.041    0.155
## 23 sb_cc_3  ~ sb_cc_2   0.683 0.024 28.282  0.000    0.636    0.731
## 24   int_1 ~~ sb_cc_1   0.340 0.025 13.655  0.000    0.292    0.389
## 25   int_2 ~~ sb_cc_2   0.316 0.039  8.161  0.000    0.240    0.392
## 26   int_3 ~~ sb_cc_3   0.241 0.049  4.938  0.000    0.146    0.337
## 27  int5w1 ~~  int5w1   0.291 0.024 12.066  0.000    0.243    0.338
## 28  int6w1 ~~  int6w1   0.454 0.022 20.435  0.000    0.411    0.498
## 29  int7w1 ~~  int7w1   0.425 0.026 16.553  0.000    0.375    0.476
## 30  int5w2 ~~  int5w2   0.263 0.019 13.860  0.000    0.226    0.300
## 31  int6w2 ~~  int6w2   0.395 0.023 17.019  0.000    0.350    0.441
## 32  int7w2 ~~  int7w2   0.367 0.025 14.429  0.000    0.317    0.416
## 33  int5w3 ~~  int5w3   0.220 0.017 12.616  0.000    0.186    0.254
## 34  int6w3 ~~  int6w3   0.387 0.025 15.416  0.000    0.337    0.436
## 35  int7w3 ~~  int7w3   0.379 0.028 13.752  0.000    0.325    0.433
## 36 sbcc1w1 ~~ sbcc1w1   0.241 0.026  9.244  0.000    0.190    0.292
## 37 sbcc2w1 ~~ sbcc2w1   0.292 0.024 12.304  0.000    0.246    0.339
## 38 sbcc1w2 ~~ sbcc1w2   0.277 0.024 11.421  0.000    0.229    0.324
## 39 sbcc2w2 ~~ sbcc2w2   0.298 0.024 12.181  0.000    0.250    0.346
## 40 sbcc1w3 ~~ sbcc1w3   0.281 0.029  9.828  0.000    0.225    0.337
## 41 sbcc2w3 ~~ sbcc2w3   0.241 0.027  8.844  0.000    0.188    0.295
## 42   int_1 ~~   int_1   1.000 0.000     NA     NA    1.000    1.000
## 43   int_2 ~~   int_2   0.450 0.031 14.391  0.000    0.389    0.512
## 44   int_3 ~~   int_3   0.334 0.027 12.420  0.000    0.281    0.387
## 45 sb_cc_1 ~~ sb_cc_1   1.000 0.000     NA     NA    1.000    1.000
## 46 sb_cc_2 ~~ sb_cc_2   0.517 0.028 18.384  0.000    0.462    0.573
## 47 sb_cc_3 ~~ sb_cc_3   0.478 0.029 16.295  0.000    0.420    0.535
## 48  int5w1 ~1           5.353 0.115 46.724  0.000    5.128    5.577
## 49  int6w1 ~1           5.236 0.107 49.051  0.000    5.027    5.446
## 50  int7w1 ~1           4.892 0.090 54.427  0.000    4.716    5.068
## 51  int5w2 ~1           4.680 0.114 40.964  0.000    4.456    4.904
## 52  int6w2 ~1           4.472 0.109 41.046  0.000    4.258    4.685
## 53  int7w2 ~1           4.310 0.097 44.213  0.000    4.119    4.501
## 54  int5w3 ~1           4.355 0.106 41.055  0.000    4.147    4.563
## 55  int6w3 ~1           4.121 0.102 40.552  0.000    3.922    4.320
## 56  int7w3 ~1           4.022 0.089 45.356  0.000    3.848    4.196
## 57 sbcc1w1 ~1           2.213 0.033 66.080  0.000    2.147    2.278
## 58 sbcc2w1 ~1           2.453 0.038 64.831  0.000    2.378    2.527
## 59 sbcc1w2 ~1           2.193 0.035 63.394  0.000    2.125    2.261
## 60 sbcc2w2 ~1           2.332 0.038 61.507  0.000    2.257    2.406
## 61 sbcc1w3 ~1           2.238 0.039 56.797  0.000    2.161    2.315
## 62 sbcc2w3 ~1           2.314 0.042 55.504  0.000    2.232    2.396
## 63   int_1 ~1           0.000 0.000     NA     NA    0.000    0.000
## 64   int_2 ~1           0.000 0.000     NA     NA    0.000    0.000
## 65   int_3 ~1           0.000 0.000     NA     NA    0.000    0.000
## 66 sb_cc_1 ~1           0.000 0.000     NA     NA    0.000    0.000
## 67 sb_cc_2 ~1           0.000 0.000     NA     NA    0.000    0.000
## 68 sb_cc_3 ~1           0.000 0.000     NA     NA    0.000    0.000

Interest and Belonging PS

## Warning in lav_data_full(data = data, group = group, cluster = cluster, : lavaan WARNING: some cases are empty and will be ignored:
##   320 617 968 1056
## lavaan 0.6-6 ended normally after 85 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         86
##                                                       
##                                                   Used       Total
##   Number of observations                          1956        1960
##   Number of missing patterns                        57            
##                                                                   
## Model Test User Model:
##                                                       
##   Test statistic                              1608.312
##   Degrees of freedom                               238
##   P-value (Chi-square)                           0.000
## 
## Model Test Baseline Model:
## 
##   Test statistic                             20705.597
##   Degrees of freedom                               276
##   P-value                                        0.000
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    0.933
##   Tucker-Lewis Index (TLI)                       0.922
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -68955.239
##   Loglikelihood unrestricted model (H1)     -68151.084
##                                                       
##   Akaike (AIC)                              138082.479
##   Bayesian (BIC)                            138562.243
##   Sample-size adjusted Bayesian (BIC)       138289.019
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.054
##   90 Percent confidence interval - lower         0.052
##   90 Percent confidence interval - upper         0.057
##   P-value RMSEA <= 0.05                          0.003
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.044
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   int_1 =~                                                              
##     int5w1            1.000                               0.915    0.844
##     int6w1            0.900    0.027   32.938    0.000    0.823    0.744
##     int7w1            0.862    0.026   33.144    0.000    0.788    0.751
##   int_2 =~                                                              
##     int5w2            1.000                               1.038    0.859
##     int6w2            0.954    0.025   38.269    0.000    0.991    0.779
##     int7w2            0.889    0.023   38.804    0.000    0.923    0.792
##   int_3 =~                                                              
##     int5w3            1.000                               1.114    0.882
##     int6w3            0.952    0.028   34.494    0.000    1.060    0.789
##     int7w3            0.845    0.025   34.117    0.000    0.941    0.785
##   sb_ps_1 =~                                                            
##     sbps1w1           1.000                               1.266    0.639
##     sbps2w1           1.066    0.042   25.380    0.000    1.349    0.730
##     sbps3w1           1.275    0.047   27.308    0.000    1.614    0.839
##     sbiso1w1         -0.989    0.045  -21.854    0.000   -1.252   -0.607
##     sbiso2w1         -0.819    0.039  -21.086    0.000   -1.037   -0.586
##   sb_ps_2 =~                                                            
##     sbps1w2           1.000                               1.106    0.653
##     sbps2w2           1.247    0.046   26.944    0.000    1.379    0.773
##     sbps3w2           1.344    0.048   28.104    0.000    1.486    0.824
##     sbiso1w2         -1.124    0.051  -21.999    0.000   -1.244   -0.607
##     sbiso2w2         -1.045    0.048  -21.591    0.000   -1.156   -0.598
##   sb_ps_3 =~                                                            
##     sbps1w3           1.000                               1.274    0.744
##     sbps2w3           1.122    0.037   30.259    0.000    1.428    0.803
##     sbps3w3           1.210    0.037   32.652    0.000    1.542    0.876
##     sbiso1w3         -0.762    0.042  -18.164    0.000   -0.970   -0.489
##     sbiso2w3         -0.659    0.039  -16.750    0.000   -0.840   -0.452
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   int_2 ~                                                               
##     int_1             0.838    0.030   27.692    0.000    0.738    0.738
##     sb_ps_1           0.017    0.018    0.964    0.335    0.021    0.021
##   sb_ps_2 ~                                                             
##     int_1             0.091    0.030    3.074    0.002    0.076    0.076
##     sb_ps_1           0.539    0.030   17.768    0.000    0.617    0.617
##   int_3 ~                                                               
##     int_2             0.872    0.030   29.364    0.000    0.813    0.813
##     sb_ps_2           0.012    0.022    0.549    0.583    0.012    0.012
##   sb_ps_3 ~                                                             
##     int_2             0.140    0.033    4.203    0.000    0.114    0.114
##     sb_ps_2           0.754    0.040   18.888    0.000    0.655    0.655
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   int_1 ~~                                                              
##     sb_ps_1           0.160    0.032    4.914    0.000    0.138    0.138
##  .int_2 ~~                                                              
##    .sb_ps_2           0.135    0.022    6.120    0.000    0.225    0.225
##  .int_3 ~~                                                              
##    .sb_ps_3           0.184    0.025    7.257    0.000    0.310    0.310
##  .sbiso1w1 ~~                                                           
##    .sbiso2w1          0.347    0.063    5.512    0.000    0.347    0.147
##  .sbiso1w2 ~~                                                           
##    .sbiso2w2          0.905    0.072   12.648    0.000    0.905    0.358
##  .sbiso1w3 ~~                                                           
##    .sbiso2w3          1.367    0.085   16.081    0.000    1.367    0.476
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .int5w1            5.802    0.025  233.882    0.000    5.802    5.352
##    .int6w1            5.794    0.025  228.600    0.000    5.794    5.236
##    .int7w1            5.133    0.024  213.572    0.000    5.133    4.892
##    .int5w2            5.655    0.028  203.141    0.000    5.655    4.682
##    .int6w2            5.690    0.029  193.584    0.000    5.690    4.473
##    .int7w2            5.022    0.027  186.610    0.000    5.022    4.311
##    .int5w3            5.499    0.031  179.840    0.000    5.499    4.353
##    .int6w3            5.533    0.033  168.575    0.000    5.533    4.117
##    .int7w3            4.822    0.029  164.573    0.000    4.822    4.022
##    .sbps1w1           4.878    0.046  107.100    0.000    4.878    2.461
##    .sbps2w1           4.208    0.042   99.107    0.000    4.208    2.278
##    .sbps3w1           4.192    0.044   94.932    0.000    4.192    2.179
##    .sbiso1w1          4.084    0.047   86.128    0.000    4.084    1.979
##    .sbiso2w1          3.512    0.041   86.237    0.000    3.512    1.983
##    .sbps1w2           5.526    0.039  140.236    0.000    5.526    3.261
##    .sbps2w2           4.815    0.041  116.411    0.000    4.815    2.700
##    .sbps3w2           4.902    0.042  117.372    0.000    4.902    2.720
##    .sbiso1w2          3.414    0.048   71.560    0.000    3.414    1.665
##    .sbiso2w2          3.411    0.045   75.657    0.000    3.411    1.763
##    .sbps1w3           5.285    0.043  124.079    0.000    5.285    3.087
##    .sbps2w3           4.646    0.044  105.301    0.000    4.646    2.612
##    .sbps3w3           4.904    0.043  112.918    0.000    4.904    2.788
##    .sbiso1w3          3.455    0.050   69.031    0.000    3.455    1.741
##    .sbiso2w3          3.654    0.047   77.788    0.000    3.654    1.966
##     int_1             0.000                               0.000    0.000
##    .int_2             0.000                               0.000    0.000
##    .int_3             0.000                               0.000    0.000
##     sb_ps_1           0.000                               0.000    0.000
##    .sb_ps_2           0.000                               0.000    0.000
##    .sb_ps_3           0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .int5w1            0.338    0.020   17.024    0.000    0.338    0.288
##    .int6w1            0.547    0.023   23.828    0.000    0.547    0.447
##    .int7w1            0.479    0.020   23.441    0.000    0.479    0.435
##    .int5w2            0.381    0.020   18.953    0.000    0.381    0.261
##    .int6w2            0.636    0.026   24.166    0.000    0.636    0.393
##    .int7w2            0.505    0.022   23.465    0.000    0.505    0.372
##    .int5w3            0.355    0.023   15.221    0.000    0.355    0.223
##    .int6w3            0.682    0.031   21.910    0.000    0.682    0.378
##    .int7w3            0.553    0.025   22.013    0.000    0.553    0.384
##    .sbps1w1           2.328    0.087   26.779    0.000    2.328    0.592
##    .sbps2w1           1.592    0.066   24.091    0.000    1.592    0.467
##    .sbps3w1           1.097    0.064   17.160    0.000    1.097    0.296
##    .sbiso1w1          2.690    0.099   27.192    0.000    2.690    0.632
##    .sbiso2w1          2.060    0.075   27.393    0.000    2.060    0.657
##    .sbps1w2           1.649    0.062   26.460    0.000    1.649    0.574
##    .sbps2w2           1.279    0.056   22.766    0.000    1.279    0.402
##    .sbps3w2           1.041    0.053   19.535    0.000    1.041    0.320
##    .sbiso1w2          2.656    0.098   27.147    0.000    2.656    0.632
##    .sbiso2w2          2.407    0.088   27.235    0.000    2.407    0.643
##    .sbps1w3           1.308    0.057   22.920    0.000    1.308    0.447
##    .sbps2w3           1.122    0.054   20.652    0.000    1.122    0.355
##    .sbps3w3           0.717    0.048   14.946    0.000    0.717    0.232
##    .sbiso1w3          2.997    0.113   26.571    0.000    2.997    0.761
##    .sbiso2w3          2.751    0.103   26.782    0.000    2.751    0.796
##     int_1             0.837    0.040   20.794    0.000    1.000    1.000
##    .int_2             0.485    0.029   16.799    0.000    0.450    0.450
##    .int_3             0.414    0.029   14.158    0.000    0.334    0.334
##     sb_ps_1           1.602    0.112   14.366    0.000    1.000    1.000
##    .sb_ps_2           0.735    0.054   13.709    0.000    0.601    0.601
##    .sb_ps_3           0.845    0.058   14.469    0.000    0.521    0.521
##         lhs op      rhs est.std    se       z pvalue ci.lower ci.upper
## 1     int_1 =~   int5w1   0.844 0.011  79.212  0.000    0.823    0.865
## 2     int_1 =~   int6w1   0.744 0.013  57.157  0.000    0.718    0.769
## 3     int_1 =~   int7w1   0.751 0.013  58.598  0.000    0.726    0.777
## 4     int_2 =~   int5w2   0.859 0.009  98.543  0.000    0.842    0.877
## 5     int_2 =~   int6w2   0.779 0.011  70.214  0.000    0.757    0.801
## 6     int_2 =~   int7w2   0.792 0.011  73.835  0.000    0.771    0.813
## 7     int_3 =~   int5w3   0.882 0.009  97.060  0.000    0.864    0.899
## 8     int_3 =~   int6w3   0.789 0.012  65.661  0.000    0.765    0.812
## 9     int_3 =~   int7w3   0.785 0.012  64.329  0.000    0.761    0.808
## 10  sb_ps_1 =~  sbps1w1   0.639 0.016  39.769  0.000    0.607    0.670
## 11  sb_ps_1 =~  sbps2w1   0.730 0.014  54.021  0.000    0.704    0.757
## 12  sb_ps_1 =~  sbps3w1   0.839 0.011  76.760  0.000    0.817    0.860
## 13  sb_ps_1 =~ sbiso1w1  -0.607 0.017 -35.577  0.000   -0.640   -0.573
## 14  sb_ps_1 =~ sbiso2w1  -0.586 0.018 -33.068  0.000   -0.620   -0.551
## 15  sb_ps_2 =~  sbps1w2   0.653 0.016  41.808  0.000    0.622    0.683
## 16  sb_ps_2 =~  sbps2w2   0.773 0.012  64.356  0.000    0.750    0.797
## 17  sb_ps_2 =~  sbps3w2   0.824 0.011  77.394  0.000    0.804    0.845
## 18  sb_ps_2 =~ sbiso1w2  -0.607 0.017 -35.735  0.000   -0.640   -0.573
## 19  sb_ps_2 =~ sbiso2w2  -0.598 0.017 -34.681  0.000   -0.631   -0.564
## 20  sb_ps_3 =~  sbps1w3   0.744 0.014  54.972  0.000    0.717    0.770
## 21  sb_ps_3 =~  sbps2w3   0.803 0.011  69.878  0.000    0.781    0.826
## 22  sb_ps_3 =~  sbps3w3   0.876 0.009  92.325  0.000    0.858    0.895
## 23  sb_ps_3 =~ sbiso1w3  -0.489 0.021 -23.098  0.000   -0.530   -0.448
## 24  sb_ps_3 =~ sbiso2w3  -0.452 0.022 -20.483  0.000   -0.495   -0.408
## 25    int_2  ~    int_1   0.738 0.016  46.939  0.000    0.708    0.769
## 26    int_2  ~  sb_ps_1   0.021 0.022   0.965  0.335   -0.022    0.064
## 27  sb_ps_2  ~    int_1   0.076 0.024   3.096  0.002    0.028    0.123
## 28  sb_ps_2  ~  sb_ps_1   0.617 0.020  31.168  0.000    0.578    0.656
## 29    int_3  ~    int_2   0.813 0.015  54.910  0.000    0.784    0.842
## 30    int_3  ~  sb_ps_2   0.012 0.022   0.549  0.583   -0.031    0.055
## 31  sb_ps_3  ~    int_2   0.114 0.027   4.257  0.000    0.062    0.167
## 32  sb_ps_3  ~  sb_ps_2   0.655 0.020  32.318  0.000    0.615    0.694
## 33    int_1 ~~  sb_ps_1   0.138 0.027   5.078  0.000    0.085    0.191
## 34    int_2 ~~  sb_ps_2   0.225 0.034   6.550  0.000    0.158    0.293
## 35    int_3 ~~  sb_ps_3   0.310 0.039   8.020  0.000    0.235    0.386
## 36 sbiso1w1 ~~ sbiso2w1   0.147 0.025   5.854  0.000    0.098    0.197
## 37 sbiso1w2 ~~ sbiso2w2   0.358 0.022  16.118  0.000    0.315    0.402
## 38 sbiso1w3 ~~ sbiso2w3   0.476 0.020  23.495  0.000    0.436    0.516
## 39   int5w1 ~~   int5w1   0.288 0.018  15.995  0.000    0.252    0.323
## 40   int6w1 ~~   int6w1   0.447 0.019  23.080  0.000    0.409    0.485
## 41   int7w1 ~~   int7w1   0.435 0.019  22.588  0.000    0.398    0.473
## 42   int5w2 ~~   int5w2   0.261 0.015  17.437  0.000    0.232    0.291
## 43   int6w2 ~~   int6w2   0.393 0.017  22.748  0.000    0.359    0.427
## 44   int7w2 ~~   int7w2   0.372 0.017  21.911  0.000    0.339    0.406
## 45   int5w3 ~~   int5w3   0.223 0.016  13.901  0.000    0.191    0.254
## 46   int6w3 ~~   int6w3   0.378 0.019  19.939  0.000    0.341    0.415
## 47   int7w3 ~~   int7w3   0.384 0.019  20.087  0.000    0.347    0.422
## 48  sbps1w1 ~~  sbps1w1   0.592 0.021  28.889  0.000    0.552    0.632
## 49  sbps2w1 ~~  sbps2w1   0.467 0.020  23.644  0.000    0.428    0.505
## 50  sbps3w1 ~~  sbps3w1   0.296 0.018  16.160  0.000    0.260    0.332
## 51 sbiso1w1 ~~ sbiso1w1   0.632 0.021  30.526  0.000    0.591    0.672
## 52 sbiso2w1 ~~ sbiso2w1   0.657 0.021  31.658  0.000    0.616    0.698
## 53  sbps1w2 ~~  sbps1w2   0.574 0.020  28.177  0.000    0.534    0.614
## 54  sbps2w2 ~~  sbps2w2   0.402 0.019  21.631  0.000    0.366    0.438
## 55  sbps3w2 ~~  sbps3w2   0.320 0.018  18.236  0.000    0.286    0.355
## 56 sbiso1w2 ~~ sbiso1w2   0.632 0.021  30.684  0.000    0.592    0.672
## 57 sbiso2w2 ~~ sbiso2w2   0.643 0.021  31.217  0.000    0.603    0.683
## 58  sbps1w3 ~~  sbps1w3   0.447 0.020  22.174  0.000    0.407    0.486
## 59  sbps2w3 ~~  sbps2w3   0.355 0.018  19.222  0.000    0.319    0.391
## 60  sbps3w3 ~~  sbps3w3   0.232 0.017  13.931  0.000    0.199    0.264
## 61 sbiso1w3 ~~ sbiso1w3   0.761 0.021  36.749  0.000    0.720    0.801
## 62 sbiso2w3 ~~ sbiso2w3   0.796 0.020  39.962  0.000    0.757    0.835
## 63    int_1 ~~    int_1   1.000 0.000      NA     NA    1.000    1.000
## 64    int_2 ~~    int_2   0.450 0.023  19.931  0.000    0.406    0.494
## 65    int_3 ~~    int_3   0.334 0.022  15.317  0.000    0.291    0.377
## 66  sb_ps_1 ~~  sb_ps_1   1.000 0.000      NA     NA    1.000    1.000
## 67  sb_ps_2 ~~  sb_ps_2   0.601 0.024  24.983  0.000    0.553    0.648
## 68  sb_ps_3 ~~  sb_ps_3   0.521 0.025  20.947  0.000    0.472    0.570
## 69   int5w1 ~1            5.352 0.090  59.342  0.000    5.175    5.529
## 70   int6w1 ~1            5.236 0.088  59.313  0.000    5.063    5.409
## 71   int7w1 ~1            4.892 0.083  59.011  0.000    4.730    5.055
## 72   int5w2 ~1            4.682 0.080  58.384  0.000    4.524    4.839
## 73   int6w2 ~1            4.473 0.077  58.053  0.000    4.322    4.624
## 74   int7w2 ~1            4.311 0.075  57.802  0.000    4.165    4.457
## 75   int5w3 ~1            4.353 0.084  51.728  0.000    4.188    4.518
## 76   int6w3 ~1            4.117 0.080  51.251  0.000    3.960    4.275
## 77   int7w3 ~1            4.022 0.079  51.120  0.000    3.867    4.176
## 78  sbps1w1 ~1            2.461 0.046  53.259  0.000    2.370    2.551
## 79  sbps2w1 ~1            2.278 0.044  52.147  0.000    2.192    2.364
## 80  sbps3w1 ~1            2.179 0.042  51.550  0.000    2.096    2.261
## 81 sbiso1w1 ~1            1.979 0.040  50.009  0.000    1.902    2.057
## 82 sbiso2w1 ~1            1.983 0.040  50.012  0.000    1.905    2.061
## 83  sbps1w2 ~1            3.261 0.059  55.595  0.000    3.146    3.376
## 84  sbps2w2 ~1            2.700 0.050  53.751  0.000    2.601    2.798
## 85  sbps3w2 ~1            2.720 0.050  53.865  0.000    2.621    2.818
## 86 sbiso1w2 ~1            1.665 0.036  46.215  0.000    1.595    1.736
## 87 sbiso2w2 ~1            1.763 0.037  47.221  0.000    1.690    1.836
## 88  sbps1w3 ~1            3.087 0.061  50.308  0.000    2.967    3.208
## 89  sbps2w3 ~1            2.612 0.054  48.689  0.000    2.507    2.717
## 90  sbps3w3 ~1            2.788 0.056  49.509  0.000    2.678    2.899
## 91 sbiso1w3 ~1            1.741 0.040  43.812  0.000    1.663    1.819
## 92 sbiso2w3 ~1            1.966 0.043  45.716  0.000    1.881    2.050
## 93    int_1 ~1            0.000 0.000      NA     NA    0.000    0.000
## 94    int_2 ~1            0.000 0.000      NA     NA    0.000    0.000
## 95    int_3 ~1            0.000 0.000      NA     NA    0.000    0.000
## 96  sb_ps_1 ~1            0.000 0.000      NA     NA    0.000    0.000
## 97  sb_ps_2 ~1            0.000 0.000      NA     NA    0.000    0.000
## 98  sb_ps_3 ~1            0.000 0.000      NA     NA    0.000    0.000

Interest and Belonging FS

## Warning in lav_data_full(data = data, group = group, cluster = cluster, : lavaan WARNING: some cases are empty and will be ignored:
##   320 617 968 1056
## lavaan 0.6-6 ended normally after 82 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         74
##                                                       
##                                                   Used       Total
##   Number of observations                          1956        1960
##   Number of missing patterns                        58            
##                                                                   
## Model Test User Model:
##                                                       
##   Test statistic                              1456.320
##   Degrees of freedom                               178
##   P-value (Chi-square)                           0.000
## 
## Model Test Baseline Model:
## 
##   Test statistic                             18625.267
##   Degrees of freedom                               210
##   P-value                                        0.000
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    0.931
##   Tucker-Lewis Index (TLI)                       0.918
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -56349.281
##   Loglikelihood unrestricted model (H1)     -55621.120
##                                                       
##   Akaike (AIC)                              112846.561
##   Bayesian (BIC)                            113259.382
##   Sample-size adjusted Bayesian (BIC)       113024.281
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.061
##   90 Percent confidence interval - lower         0.058
##   90 Percent confidence interval - upper         0.063
##   P-value RMSEA <= 0.05                          0.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.047
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   int_1 =~                                                              
##     int5w1            1.000                               0.915    0.844
##     int6w1            0.894    0.027   33.127    0.000    0.818    0.739
##     int7w1            0.867    0.026   33.459    0.000    0.793    0.756
##   int_2 =~                                                              
##     int5w2            1.000                               1.037    0.858
##     int6w2            0.956    0.025   38.257    0.000    0.991    0.779
##     int7w2            0.892    0.023   38.828    0.000    0.925    0.794
##   int_3 =~                                                              
##     int5w3            1.000                               1.111    0.881
##     int6w3            0.948    0.027   34.478    0.000    1.053    0.784
##     int7w3            0.851    0.025   34.240    0.000    0.946    0.789
##   sb_fs_1 =~                                                            
##     sbfs1w1           1.000                               1.352    0.863
##     sbfs2w1           0.930    0.026   36.338    0.000    1.257    0.800
##     sbfs3w1           0.717    0.030   23.646    0.000    0.969    0.551
##     sbfu1w1           0.622    0.024   25.560    0.000    0.841    0.587
##   sb_fs_2 =~                                                            
##     sbfs1w2           1.000                               1.399    0.847
##     sbfs2w2           0.983    0.025   38.751    0.000    1.375    0.824
##     sbfs3w2           0.732    0.029   24.825    0.000    1.024    0.569
##     sbfu1w2           0.603    0.024   24.992    0.000    0.844    0.578
##   sb_fs_3 =~                                                            
##     sbfs1w3           1.000                               1.469    0.892
##     sbfs2w3           0.932    0.025   36.627    0.000    1.368    0.822
##     sbfs3w3           0.758    0.030   25.287    0.000    1.113    0.606
##     sbfu1w3           0.718    0.026   27.518    0.000    1.055    0.653
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   int_2 ~                                                               
##     int_1             0.850    0.032   26.326    0.000    0.749    0.749
##     sb_fs_1          -0.019    0.018   -1.038    0.299   -0.025   -0.025
##   sb_fs_2 ~                                                             
##     int_1             0.103    0.039    2.628    0.009    0.067    0.067
##     sb_fs_1           0.653    0.029   22.421    0.000    0.631    0.631
##   int_3 ~                                                               
##     int_2             0.844    0.031   27.529    0.000    0.788    0.788
##     sb_fs_2           0.058    0.019    3.131    0.002    0.074    0.074
##   sb_fs_3 ~                                                             
##     int_2             0.124    0.041    3.030    0.002    0.087    0.087
##     sb_fs_2           0.666    0.031   21.350    0.000    0.635    0.635
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   int_1 ~~                                                              
##     sb_fs_1           0.439    0.036   12.186    0.000    0.355    0.355
##  .int_2 ~~                                                              
##    .sb_fs_2           0.236    0.027    8.705    0.000    0.321    0.321
##  .int_3 ~~                                                              
##    .sb_fs_3           0.205    0.029    7.150    0.000    0.294    0.294
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .int5w1            5.801    0.025  233.896    0.000    5.801    5.352
##    .int6w1            5.793    0.025  228.591    0.000    5.793    5.236
##    .int7w1            5.132    0.024  213.581    0.000    5.132    4.892
##    .int5w2            5.655    0.028  203.070    0.000    5.655    4.680
##    .int6w2            5.690    0.029  193.535    0.000    5.690    4.472
##    .int7w2            5.022    0.027  186.571    0.000    5.022    4.310
##    .int5w3            5.498    0.031  180.113    0.000    5.498    4.357
##    .int6w3            5.533    0.033  168.762    0.000    5.533    4.121
##    .int7w3            4.821    0.029  164.769    0.000    4.821    4.023
##    .sbfs1w1           4.788    0.036  133.241    0.000    4.788    3.057
##    .sbfs2w1           4.980    0.036  137.997    0.000    4.980    3.169
##    .sbfs3w1           3.217    0.040   79.465    0.000    3.217    1.828
##    .sbfu1w1           5.338    0.033  161.907    0.000    5.338    3.729
##    .sbfs1w2           4.475    0.038  117.032    0.000    4.475    2.709
##    .sbfs2w2           4.844    0.039  125.348    0.000    4.844    2.902
##    .sbfs3w2           3.105    0.042   74.092    0.000    3.105    1.727
##    .sbfu1w2           5.184    0.034  152.285    0.000    5.184    3.547
##    .sbfs1w3           4.275    0.041  105.120    0.000    4.275    2.595
##    .sbfs2w3           4.619    0.041  111.917    0.000    4.619    2.775
##    .sbfs3w3           3.077    0.046   66.647    0.000    3.077    1.675
##    .sbfu1w3           4.650    0.041  114.682    0.000    4.650    2.875
##     int_1             0.000                               0.000    0.000
##    .int_2             0.000                               0.000    0.000
##    .int_3             0.000                               0.000    0.000
##     sb_fs_1           0.000                               0.000    0.000
##    .sb_fs_2           0.000                               0.000    0.000
##    .sb_fs_3           0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .int5w1            0.338    0.020   17.292    0.000    0.338    0.287
##    .int6w1            0.556    0.023   24.234    0.000    0.556    0.454
##    .int7w1            0.472    0.020   23.343    0.000    0.472    0.429
##    .int5w2            0.384    0.020   19.040    0.000    0.384    0.263
##    .int6w2            0.636    0.026   24.155    0.000    0.636    0.393
##    .int7w2            0.502    0.021   23.360    0.000    0.502    0.370
##    .int5w3            0.358    0.023   15.361    0.000    0.358    0.225
##    .int6w3            0.693    0.031   22.164    0.000    0.693    0.385
##    .int7w3            0.542    0.025   21.722    0.000    0.542    0.377
##    .sbfs1w1           0.626    0.041   15.435    0.000    0.626    0.255
##    .sbfs2w1           0.889    0.042   20.939    0.000    0.889    0.360
##    .sbfs3w1           2.158    0.076   28.429    0.000    2.158    0.697
##    .sbfu1w1           1.343    0.048   27.936    0.000    1.343    0.655
##    .sbfs1w2           0.772    0.043   18.094    0.000    0.772    0.283
##    .sbfs2w2           0.896    0.044   20.264    0.000    0.896    0.321
##    .sbfs3w2           2.184    0.078   27.923    0.000    2.184    0.676
##    .sbfu1w2           1.423    0.051   27.859    0.000    1.423    0.666
##    .sbfs1w3           0.557    0.043   13.097    0.000    0.557    0.205
##    .sbfs2w3           0.898    0.047   18.995    0.000    0.898    0.324
##    .sbfs3w3           2.135    0.083   25.678    0.000    2.135    0.633
##    .sbfu1w3           1.502    0.060   25.036    0.000    1.502    0.574
##     int_1             0.837    0.040   20.885    0.000    1.000    1.000
##    .int_2             0.485    0.029   16.716    0.000    0.451    0.451
##    .int_3             0.409    0.029   14.205    0.000    0.331    0.331
##     sb_fs_1           1.827    0.085   21.524    0.000    1.000    1.000
##    .sb_fs_2           1.111    0.065   17.164    0.000    0.568    0.568
##    .sb_fs_3           1.185    0.069   17.227    0.000    0.549    0.549
##        lhs op     rhs est.std    se      z pvalue ci.lower ci.upper
## 1    int_1 =~  int5w1   0.844 0.010 80.404  0.000    0.824    0.865
## 2    int_1 =~  int6w1   0.739 0.013 56.650  0.000    0.713    0.765
## 3    int_1 =~  int7w1   0.756 0.013 59.742  0.000    0.731    0.781
## 4    int_2 =~  int5w2   0.858 0.009 98.091  0.000    0.841    0.876
## 5    int_2 =~  int6w2   0.779 0.011 70.227  0.000    0.757    0.801
## 6    int_2 =~  int7w2   0.794 0.011 74.307  0.000    0.773    0.815
## 7    int_3 =~  int5w3   0.881 0.009 96.802  0.000    0.863    0.898
## 8    int_3 =~  int6w3   0.784 0.012 64.744  0.000    0.761    0.808
## 9    int_3 =~  int7w3   0.789 0.012 65.380  0.000    0.765    0.813
## 10 sb_fs_1 =~ sbfs1w1   0.863 0.010 84.979  0.000    0.843    0.883
## 11 sb_fs_1 =~ sbfs2w1   0.800 0.011 70.070  0.000    0.778    0.822
## 12 sb_fs_1 =~ sbfs3w1   0.551 0.018 30.434  0.000    0.515    0.586
## 13 sb_fs_1 =~ sbfu1w1   0.587 0.017 34.156  0.000    0.553    0.621
## 14 sb_fs_2 =~ sbfs1w2   0.847 0.010 85.478  0.000    0.827    0.866
## 15 sb_fs_2 =~ sbfs2w2   0.824 0.010 79.551  0.000    0.803    0.844
## 16 sb_fs_2 =~ sbfs3w2   0.569 0.018 32.170  0.000    0.535    0.604
## 17 sb_fs_2 =~ sbfu1w2   0.578 0.017 33.026  0.000    0.543    0.612
## 18 sb_fs_3 =~ sbfs1w3   0.892 0.009 95.336  0.000    0.873    0.910
## 19 sb_fs_3 =~ sbfs2w3   0.822 0.011 73.199  0.000    0.800    0.844
## 20 sb_fs_3 =~ sbfs3w3   0.606 0.018 33.680  0.000    0.571    0.641
## 21 sb_fs_3 =~ sbfu1w3   0.653 0.017 39.468  0.000    0.620    0.685
## 22   int_2  ~   int_1   0.749 0.018 41.455  0.000    0.714    0.785
## 23   int_2  ~ sb_fs_1  -0.025 0.024 -1.038  0.299   -0.071    0.022
## 24 sb_fs_2  ~   int_1   0.067 0.026  2.637  0.008    0.017    0.117
## 25 sb_fs_2  ~ sb_fs_1   0.631 0.021 29.710  0.000    0.589    0.672
## 26   int_3  ~   int_2   0.788 0.017 46.028  0.000    0.754    0.822
## 27   int_3  ~ sb_fs_2   0.074 0.023  3.135  0.002    0.028    0.120
## 28 sb_fs_3  ~   int_2   0.087 0.029  3.049  0.002    0.031    0.143
## 29 sb_fs_3  ~ sb_fs_2   0.635 0.022 28.211  0.000    0.591    0.679
## 30   int_1 ~~ sb_fs_1   0.355 0.025 14.441  0.000    0.307    0.404
## 31   int_2 ~~ sb_fs_2   0.321 0.034  9.562  0.000    0.255    0.387
## 32   int_3 ~~ sb_fs_3   0.294 0.038  7.773  0.000    0.220    0.369
## 33  int5w1 ~~  int5w1   0.287 0.018 16.218  0.000    0.253    0.322
## 34  int6w1 ~~  int6w1   0.454 0.019 23.548  0.000    0.416    0.492
## 35  int7w1 ~~  int7w1   0.429 0.019 22.423  0.000    0.391    0.466
## 36  int5w2 ~~  int5w2   0.263 0.015 17.513  0.000    0.234    0.293
## 37  int6w2 ~~  int6w2   0.393 0.017 22.734  0.000    0.359    0.427
## 38  int7w2 ~~  int7w2   0.370 0.017 21.784  0.000    0.336    0.403
## 39  int5w3 ~~  int5w3   0.225 0.016 14.025  0.000    0.193    0.256
## 40  int6w3 ~~  int6w3   0.385 0.019 20.228  0.000    0.347    0.422
## 41  int7w3 ~~  int7w3   0.377 0.019 19.813  0.000    0.340    0.415
## 42 sbfs1w1 ~~ sbfs1w1   0.255 0.018 14.560  0.000    0.221    0.290
## 43 sbfs2w1 ~~ sbfs2w1   0.360 0.018 19.714  0.000    0.324    0.396
## 44 sbfs3w1 ~~ sbfs3w1   0.697 0.020 34.986  0.000    0.658    0.736
## 45 sbfu1w1 ~~ sbfu1w1   0.655 0.020 32.462  0.000    0.616    0.695
## 46 sbfs1w2 ~~ sbfs1w2   0.283 0.017 16.853  0.000    0.250    0.316
## 47 sbfs2w2 ~~ sbfs2w2   0.321 0.017 18.841  0.000    0.288    0.355
## 48 sbfs3w2 ~~ sbfs3w2   0.676 0.020 33.521  0.000    0.636    0.715
## 49 sbfu1w2 ~~ sbfu1w2   0.666 0.020 32.990  0.000    0.627    0.706
## 50 sbfs1w3 ~~ sbfs1w3   0.205 0.017 12.301  0.000    0.172    0.238
## 51 sbfs2w3 ~~ sbfs2w3   0.324 0.018 17.561  0.000    0.288    0.360
## 52 sbfs3w3 ~~ sbfs3w3   0.633 0.022 29.037  0.000    0.590    0.676
## 53 sbfu1w3 ~~ sbfu1w3   0.574 0.022 26.607  0.000    0.532    0.616
## 54   int_1 ~~   int_1   1.000 0.000     NA     NA    1.000    1.000
## 55   int_2 ~~   int_2   0.451 0.023 19.823  0.000    0.406    0.496
## 56   int_3 ~~   int_3   0.331 0.022 15.399  0.000    0.289    0.374
## 57 sb_fs_1 ~~ sb_fs_1   1.000 0.000     NA     NA    1.000    1.000
## 58 sb_fs_2 ~~ sb_fs_2   0.568 0.024 24.018  0.000    0.521    0.614
## 59 sb_fs_3 ~~ sb_fs_3   0.549 0.025 22.210  0.000    0.501    0.598
## 60  int5w1 ~1           5.352 0.090 59.347  0.000    5.176    5.529
## 61  int6w1 ~1           5.236 0.088 59.313  0.000    5.063    5.409
## 62  int7w1 ~1           4.892 0.083 59.012  0.000    4.730    5.055
## 63  int5w2 ~1           4.680 0.080 58.365  0.000    4.523    4.837
## 64  int6w2 ~1           4.472 0.077 58.038  0.000    4.321    4.623
## 65  int7w2 ~1           4.310 0.075 57.788  0.000    4.164    4.456
## 66  int5w3 ~1           4.357 0.084 51.815  0.000    4.193    4.522
## 67  int6w3 ~1           4.121 0.080 51.319  0.000    3.964    4.279
## 68  int7w3 ~1           4.023 0.079 51.192  0.000    3.869    4.177
## 69 sbfs1w1 ~1           3.057 0.055 55.650  0.000    2.950    3.165
## 70 sbfs2w1 ~1           3.169 0.057 56.028  0.000    3.058    3.280
## 71 sbfs3w1 ~1           1.828 0.038 48.506  0.000    1.754    1.902
## 72 sbfu1w1 ~1           3.729 0.065 57.207  0.000    3.601    3.857
## 73 sbfs1w2 ~1           2.709 0.050 53.949  0.000    2.610    2.807
## 74 sbfs2w2 ~1           2.902 0.053 54.705  0.000    2.798    3.005
## 75 sbfs3w2 ~1           1.727 0.037 46.929  0.000    1.655    1.799
## 76 sbfu1w2 ~1           3.547 0.063 56.250  0.000    3.424    3.671
## 77 sbfs1w3 ~1           2.595 0.053 48.559  0.000    2.490    2.700
## 78 sbfs2w3 ~1           2.775 0.056 49.187  0.000    2.665    2.886
## 79 sbfs3w3 ~1           1.675 0.040 41.985  0.000    1.597    1.753
## 80 sbfu1w3 ~1           2.875 0.058 49.368  0.000    2.761    2.989
## 81   int_1 ~1           0.000 0.000     NA     NA    0.000    0.000
## 82   int_2 ~1           0.000 0.000     NA     NA    0.000    0.000
## 83   int_3 ~1           0.000 0.000     NA     NA    0.000    0.000
## 84 sb_fs_1 ~1           0.000 0.000     NA     NA    0.000    0.000
## 85 sb_fs_2 ~1           0.000 0.000     NA     NA    0.000    0.000
## 86 sb_fs_3 ~1           0.000 0.000     NA     NA    0.000    0.000

Attainment Value and Belonging CC

## Warning in lav_data_full(data = data, group = group, cluster = cluster, : lavaan WARNING: some cases are empty and will be ignored:
##   320 617 968 1056
## lavaan 0.6-6 ended normally after 67 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         56
##                                                       
##                                                   Used       Total
##   Number of observations                          1956        1960
##   Number of clusters [id]                         1960            
##   Number of missing patterns                        44            
##                                                                   
## Model Test User Model:
##                                                Standard      Robust
##   Test Statistic                                504.623     432.295
##   Degrees of freedom                                 79          79
##   P-value (Chi-square)                            0.000       0.000
##   Scaling correction factor                                   1.167
##        Yuan-Bentler correction (Mplus variant)                     
## 
## Model Test Baseline Model:
## 
##   Test statistic                             14837.162   11221.701
##   Degrees of freedom                               105         105
##   P-value                                        0.000       0.000
##   Scaling correction factor                                  1.322
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    0.971       0.968
##   Tucker-Lewis Index (TLI)                       0.962       0.958
##                                                                   
##   Robust Comparative Fit Index (CFI)                         0.972
##   Robust Tucker-Lewis Index (TLI)                            0.963
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -40432.040  -40432.040
##   Scaling correction factor                                  1.338
##       for the MLR correction                                      
##   Loglikelihood unrestricted model (H1)     -40179.729  -40179.729
##   Scaling correction factor                                  1.238
##       for the MLR correction                                      
##                                                                   
##   Akaike (AIC)                               80976.081   80976.081
##   Bayesian (BIC)                             81288.486   81288.486
##   Sample-size adjusted Bayesian (BIC)        81110.572   81110.572
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.052       0.048
##   90 Percent confidence interval - lower         0.048       0.044
##   90 Percent confidence interval - upper         0.057       0.052
##   P-value RMSEA <= 0.05                          0.170       0.805
##                                                                   
##   Robust RMSEA                                               0.052
##   90 Percent confidence interval - lower                     0.047
##   90 Percent confidence interval - upper                     0.056
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.031       0.031
## 
## Parameter Estimates:
## 
##   Standard errors                        Robust.cluster
##   Information                                  Observed
##   Observed information based on                 Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   att_1 =~                                                              
##     att4w1            1.000                               1.153    0.836
##     att5w1            0.847    0.024   36.014    0.000    0.976    0.812
##     att6w1            0.843    0.023   36.342    0.000    0.972    0.784
##   att_2 =~                                                              
##     att4w2            1.000                               1.240    0.868
##     att5w2            0.866    0.023   38.291    0.000    1.074    0.811
##     att6w2            0.834    0.023   35.563    0.000    1.035    0.784
##   att_3 =~                                                              
##     att4w3            1.000                               1.344    0.898
##     att5w3            0.869    0.024   36.442    0.000    1.168    0.826
##     att6w3            0.777    0.027   29.247    0.000    1.044    0.774
##   sb_cc_1 =~                                                            
##     sbcc1w1           1.000                               1.477    0.880
##     sbcc2w1           0.941    0.030   31.285    0.000    1.390    0.833
##   sb_cc_2 =~                                                            
##     sbcc1w2           1.000                               1.478    0.851
##     sbcc2w2           0.997    0.028   35.302    0.000    1.474    0.838
##   sb_cc_3 =~                                                            
##     sbcc1w3           1.000                               1.480    0.851
##     sbcc2w3           1.009    0.033   30.858    0.000    1.494    0.866
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   att_2 ~                                                               
##     att_1             0.742    0.030   24.839    0.000    0.690    0.690
##     sb_cc_1           0.011    0.021    0.527    0.598    0.013    0.013
##   sb_cc_2 ~                                                             
##     att_1             0.020    0.032    0.609    0.543    0.015    0.015
##     sb_cc_1           0.690    0.029   23.575    0.000    0.689    0.689
##   att_3 ~                                                               
##     att_2             0.718    0.032   22.130    0.000    0.662    0.662
##     sb_cc_2           0.074    0.024    3.040    0.002    0.081    0.081
##   sb_cc_3 ~                                                             
##     att_2             0.043    0.034    1.278    0.201    0.036    0.036
##     sb_cc_2           0.706    0.033   21.711    0.000    0.705    0.705
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   att_1 ~~                                                              
##     sb_cc_1           0.394    0.051    7.760    0.000    0.231    0.231
##  .att_2 ~~                                                              
##    .sb_cc_2           0.214    0.039    5.484    0.000    0.225    0.225
##  .att_3 ~~                                                              
##    .sb_cc_3           0.256    0.047    5.456    0.000    0.253    0.253
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .att4w1            4.780    0.032  151.165    0.000    4.780    3.465
##    .att5w1            5.241    0.028  190.294    0.000    5.241    4.358
##    .att6w1            4.655    0.028  163.726    0.000    4.655    3.754
##    .att4w2            4.780    0.033  144.900    0.000    4.780    3.346
##    .att5w2            5.252    0.031  171.582    0.000    5.252    3.967
##    .att6w2            4.681    0.031  153.076    0.000    4.681    3.548
##    .att4w3            4.609    0.037  125.943    0.000    4.609    3.081
##    .att5w3            5.035    0.035  143.890    0.000    5.035    3.561
##    .att6w3            4.539    0.033  136.333    0.000    4.539    3.366
##    .sbcc1w1           3.716    0.038   96.551    0.000    3.716    2.212
##    .sbcc2w1           4.092    0.038  106.878    0.000    4.092    2.453
##    .sbcc1w2           3.811    0.040   94.766    0.000    3.811    2.193
##    .sbcc2w2           4.102    0.041  100.633    0.000    4.102    2.332
##    .sbcc1w3           3.911    0.043   91.528    0.000    3.911    2.250
##    .sbcc2w3           4.012    0.042   94.682    0.000    4.012    2.326
##     att_1             0.000                               0.000    0.000
##    .att_2             0.000                               0.000    0.000
##    .att_3             0.000                               0.000    0.000
##     sb_cc_1           0.000                               0.000    0.000
##    .sb_cc_2           0.000                               0.000    0.000
##    .sb_cc_3           0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .att4w1            0.574    0.035   16.222    0.000    0.574    0.301
##    .att5w1            0.493    0.029   17.063    0.000    0.493    0.341
##    .att6w1            0.594    0.048   12.279    0.000    0.594    0.386
##    .att4w2            0.503    0.035   14.315    0.000    0.503    0.246
##    .att5w2            0.600    0.031   19.104    0.000    0.600    0.342
##    .att6w2            0.670    0.055   12.229    0.000    0.670    0.385
##    .att4w3            0.432    0.034   12.647    0.000    0.432    0.193
##    .att5w3            0.633    0.038   16.619    0.000    0.633    0.317
##    .att6w3            0.728    0.066   10.997    0.000    0.728    0.400
##    .sbcc1w1           0.639    0.075    8.533    0.000    0.639    0.226
##    .sbcc2w1           0.852    0.067   12.778    0.000    0.852    0.306
##    .sbcc1w2           0.834    0.072   11.532    0.000    0.834    0.276
##    .sbcc2w2           0.923    0.074   12.403    0.000    0.923    0.298
##    .sbcc1w3           0.832    0.087    9.577    0.000    0.832    0.275
##    .sbcc2w3           0.744    0.083    8.985    0.000    0.744    0.250
##     att_1             1.329    0.063   21.251    0.000    1.000    1.000
##    .att_2             0.800    0.055   14.608    0.000    0.520    0.520
##    .att_3             0.954    0.061   15.590    0.000    0.528    0.528
##     sb_cc_1           2.182    0.101   21.649    0.000    1.000    1.000
##    .sb_cc_2           1.135    0.081   14.039    0.000    0.520    0.520
##    .sb_cc_3           1.070    0.083   12.932    0.000    0.489    0.489
##        lhs op     rhs est.std    se      z pvalue ci.lower ci.upper
## 1    att_1 =~  att4w1   0.836 0.011 73.527  0.000    0.814    0.858
## 2    att_1 =~  att5w1   0.812 0.013 64.003  0.000    0.787    0.837
## 3    att_1 =~  att6w1   0.784 0.018 43.836  0.000    0.749    0.819
## 4    att_2 =~  att4w2   0.868 0.010 83.990  0.000    0.848    0.888
## 5    att_2 =~  att5w2   0.811 0.012 67.036  0.000    0.787    0.835
## 6    att_2 =~  att6w2   0.784 0.018 42.619  0.000    0.748    0.820
## 7    att_3 =~  att4w3   0.898 0.009 98.570  0.000    0.880    0.916
## 8    att_3 =~  att5w3   0.826 0.013 64.416  0.000    0.801    0.852
## 9    att_3 =~  att6w3   0.774 0.022 35.107  0.000    0.731    0.818
## 10 sb_cc_1 =~ sbcc1w1   0.880 0.015 57.882  0.000    0.850    0.909
## 11 sb_cc_1 =~ sbcc2w1   0.833 0.015 57.185  0.000    0.805    0.862
## 12 sb_cc_2 =~ sbcc1w2   0.851 0.014 59.096  0.000    0.823    0.879
## 13 sb_cc_2 =~ sbcc2w2   0.838 0.015 57.445  0.000    0.809    0.866
## 14 sb_cc_3 =~ sbcc1w3   0.851 0.017 50.350  0.000    0.818    0.884
## 15 sb_cc_3 =~ sbcc2w3   0.866 0.016 53.544  0.000    0.834    0.898
## 16   att_2  ~   att_1   0.690 0.022 30.972  0.000    0.646    0.733
## 17   att_2  ~ sb_cc_1   0.013 0.025  0.527  0.598   -0.036    0.062
## 18 sb_cc_2  ~   att_1   0.015 0.025  0.609  0.542   -0.034    0.065
## 19 sb_cc_2  ~ sb_cc_1   0.689 0.022 31.546  0.000    0.647    0.732
## 20   att_3  ~   att_2   0.662 0.024 27.709  0.000    0.615    0.709
## 21   att_3  ~ sb_cc_2   0.081 0.027  3.039  0.002    0.029    0.134
## 22 sb_cc_3  ~   att_2   0.036 0.028  1.281  0.200   -0.019    0.091
## 23 sb_cc_3  ~ sb_cc_2   0.705 0.022 31.523  0.000    0.662    0.749
## 24   att_1 ~~ sb_cc_1   0.231 0.028  8.182  0.000    0.176    0.287
## 25   att_2 ~~ sb_cc_2   0.225 0.039  5.731  0.000    0.148    0.302
## 26   att_3 ~~ sb_cc_3   0.253 0.042  6.061  0.000    0.171    0.335
## 27  att4w1 ~~  att4w1   0.301 0.019 15.862  0.000    0.264    0.339
## 28  att5w1 ~~  att5w1   0.341 0.021 16.558  0.000    0.301    0.381
## 29  att6w1 ~~  att6w1   0.386 0.028 13.776  0.000    0.331    0.441
## 30  att4w2 ~~  att4w2   0.246 0.018 13.737  0.000    0.211    0.282
## 31  att5w2 ~~  att5w2   0.342 0.020 17.454  0.000    0.304    0.381
## 32  att6w2 ~~  att6w2   0.385 0.029 13.332  0.000    0.328    0.441
## 33  att4w3 ~~  att4w3   0.193 0.016 11.787  0.000    0.161    0.225
## 34  att5w3 ~~  att5w3   0.317 0.021 14.943  0.000    0.275    0.358
## 35  att6w3 ~~  att6w3   0.400 0.034 11.716  0.000    0.333    0.467
## 36 sbcc1w1 ~~ sbcc1w1   0.226 0.027  8.472  0.000    0.174    0.279
## 37 sbcc2w1 ~~ sbcc2w1   0.306 0.024 12.598  0.000    0.258    0.353
## 38 sbcc1w2 ~~ sbcc1w2   0.276 0.024 11.280  0.000    0.228    0.324
## 39 sbcc2w2 ~~ sbcc2w2   0.298 0.024 12.202  0.000    0.250    0.346
## 40 sbcc1w3 ~~ sbcc1w3   0.275 0.029  9.563  0.000    0.219    0.332
## 41 sbcc2w3 ~~ sbcc2w3   0.250 0.028  8.930  0.000    0.195    0.305
## 42   att_1 ~~   att_1   1.000 0.000     NA     NA    1.000    1.000
## 43   att_2 ~~   att_2   0.520 0.028 18.525  0.000    0.465    0.575
## 44   att_3 ~~   att_3   0.528 0.030 17.847  0.000    0.470    0.586
## 45 sb_cc_1 ~~ sb_cc_1   1.000 0.000     NA     NA    1.000    1.000
## 46 sb_cc_2 ~~ sb_cc_2   0.520 0.028 18.327  0.000    0.464    0.575
## 47 sb_cc_3 ~~ sb_cc_3   0.489 0.030 16.331  0.000    0.430    0.547
## 48  att4w1 ~1           3.465 0.064 54.431  0.000    3.340    3.590
## 49  att5w1 ~1           4.358 0.086 50.725  0.000    4.189    4.526
## 50  att6w1 ~1           3.754 0.070 53.867  0.000    3.618    3.891
## 51  att4w2 ~1           3.346 0.063 53.194  0.000    3.222    3.469
## 52  att5w2 ~1           3.967 0.087 45.351  0.000    3.795    4.138
## 53  att6w2 ~1           3.548 0.069 51.343  0.000    3.413    3.683
## 54  att4w3 ~1           3.081 0.064 48.081  0.000    2.955    3.206
## 55  att5w3 ~1           3.561 0.081 44.210  0.000    3.404    3.719
## 56  att6w3 ~1           3.366 0.072 46.510  0.000    3.224    3.508
## 57 sbcc1w1 ~1           2.212 0.033 66.076  0.000    2.147    2.278
## 58 sbcc2w1 ~1           2.453 0.038 64.824  0.000    2.378    2.527
## 59 sbcc1w2 ~1           2.193 0.035 63.373  0.000    2.126    2.261
## 60 sbcc2w2 ~1           2.332 0.038 61.486  0.000    2.257    2.406
## 61 sbcc1w3 ~1           2.250 0.039 57.299  0.000    2.173    2.327
## 62 sbcc2w3 ~1           2.326 0.042 55.971  0.000    2.244    2.407
## 63   att_1 ~1           0.000 0.000     NA     NA    0.000    0.000
## 64   att_2 ~1           0.000 0.000     NA     NA    0.000    0.000
## 65   att_3 ~1           0.000 0.000     NA     NA    0.000    0.000
## 66 sb_cc_1 ~1           0.000 0.000     NA     NA    0.000    0.000
## 67 sb_cc_2 ~1           0.000 0.000     NA     NA    0.000    0.000
## 68 sb_cc_3 ~1           0.000 0.000     NA     NA    0.000    0.000

Attainment Value and Belonging PS

## Warning in lav_data_full(data = data, group = group, cluster = cluster, : lavaan WARNING: some cases are empty and will be ignored:
##   320 617 968 1056
## lavaan 0.6-6 ended normally after 81 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         86
##                                                       
##                                                   Used       Total
##   Number of observations                          1956        1960
##   Number of missing patterns                        60            
##                                                                   
## Model Test User Model:
##                                                       
##   Test statistic                              1514.297
##   Degrees of freedom                               238
##   P-value (Chi-square)                           0.000
## 
## Model Test Baseline Model:
## 
##   Test statistic                             21085.765
##   Degrees of freedom                               276
##   P-value                                        0.000
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    0.939
##   Tucker-Lewis Index (TLI)                       0.929
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -70850.453
##   Loglikelihood unrestricted model (H1)     -70093.305
##                                                       
##   Akaike (AIC)                              141872.907
##   Bayesian (BIC)                            142352.671
##   Sample-size adjusted Bayesian (BIC)       142079.446
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.052
##   90 Percent confidence interval - lower         0.050
##   90 Percent confidence interval - upper         0.055
##   P-value RMSEA <= 0.05                          0.060
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.046
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   att_1 =~                                                              
##     att4w1            1.000                               1.152    0.836
##     att5w1            0.848    0.023   37.072    0.000    0.978    0.813
##     att6w1            0.842    0.023   36.137    0.000    0.971    0.783
##   att_2 =~                                                              
##     att4w2            1.000                               1.240    0.868
##     att5w2            0.868    0.022   39.911    0.000    1.076    0.813
##     att6w2            0.832    0.022   38.307    0.000    1.032    0.782
##   att_3 =~                                                              
##     att4w3            1.000                               1.336    0.893
##     att5w3            0.881    0.023   38.347    0.000    1.177    0.833
##     att6w3            0.781    0.022   35.104    0.000    1.043    0.774
##   sb_ps_1 =~                                                            
##     sbps1w1           1.000                               1.263    0.637
##     sbps2w1           1.066    0.042   25.340    0.000    1.347    0.729
##     sbps3w1           1.280    0.047   27.286    0.000    1.617    0.840
##     sbiso1w1         -0.991    0.045  -21.844    0.000   -1.252   -0.607
##     sbiso2w1         -0.821    0.039  -21.081    0.000   -1.037   -0.586
##   sb_ps_2 =~                                                            
##     sbps1w2           1.000                               1.102    0.650
##     sbps2w2           1.253    0.047   26.850    0.000    1.381    0.774
##     sbps3w2           1.349    0.048   27.993    0.000    1.487    0.825
##     sbiso1w2         -1.130    0.051  -21.959    0.000   -1.246   -0.608
##     sbiso2w2         -1.051    0.049  -21.557    0.000   -1.159   -0.599
##   sb_ps_3 =~                                                            
##     sbps1w3           1.000                               1.266    0.740
##     sbps2w3           1.126    0.037   30.179    0.000    1.426    0.803
##     sbps3w3           1.220    0.037   32.592    0.000    1.544    0.879
##     sbiso1w3         -0.764    0.042  -18.108    0.000   -0.966   -0.487
##     sbiso2w3         -0.660    0.040  -16.692    0.000   -0.836   -0.450
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   att_2 ~                                                               
##     att_1             0.748    0.028   26.393    0.000    0.695    0.695
##     sb_ps_1          -0.014    0.022   -0.610    0.542   -0.014   -0.014
##   sb_ps_2 ~                                                             
##     att_1             0.018    0.023    0.767    0.443    0.019    0.019
##     sb_ps_1           0.544    0.031   17.681    0.000    0.623    0.623
##   att_3 ~                                                               
##     att_2             0.721    0.029   24.489    0.000    0.669    0.669
##     sb_ps_2           0.095    0.029    3.257    0.001    0.078    0.078
##   sb_ps_3 ~                                                             
##     att_2             0.112    0.026    4.353    0.000    0.110    0.110
##     sb_ps_2           0.760    0.040   19.092    0.000    0.662    0.662
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   att_1 ~~                                                              
##     sb_ps_1           0.246    0.041    6.063    0.000    0.169    0.169
##  .att_2 ~~                                                              
##    .sb_ps_2           0.125    0.027    4.708    0.000    0.163    0.163
##  .att_3 ~~                                                              
##    .sb_ps_3           0.227    0.033    6.809    0.000    0.254    0.254
##  .sbiso1w1 ~~                                                           
##    .sbiso2w1          0.347    0.063    5.520    0.000    0.347    0.148
##  .sbiso1w2 ~~                                                           
##    .sbiso2w2          0.901    0.072   12.587    0.000    0.901    0.357
##  .sbiso1w3 ~~                                                           
##    .sbiso2w3          1.371    0.085   16.110    0.000    1.371    0.477
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .att4w1            4.780    0.032  151.260    0.000    4.780    3.465
##    .att5w1            5.241    0.028  190.247    0.000    5.241    4.358
##    .att6w1            4.655    0.028  163.795    0.000    4.655    3.754
##    .att4w2            4.780    0.033  144.854    0.000    4.780    3.345
##    .att5w2            5.252    0.031  171.531    0.000    5.252    3.967
##    .att6w2            4.681    0.031  153.252    0.000    4.681    3.548
##    .att4w3            4.607    0.037  125.679    0.000    4.607    3.080
##    .att5w3            5.032    0.035  144.595    0.000    5.032    3.560
##    .att6w3            4.537    0.033  136.147    0.000    4.537    3.365
##    .sbps1w1           4.878    0.046  107.105    0.000    4.878    2.461
##    .sbps2w1           4.208    0.042   99.110    0.000    4.208    2.278
##    .sbps3w1           4.192    0.044   94.942    0.000    4.192    2.179
##    .sbiso1w1          4.084    0.047   86.131    0.000    4.084    1.979
##    .sbiso2w1          3.512    0.041   86.240    0.000    3.512    1.983
##    .sbps1w2           5.526    0.039  140.201    0.000    5.526    3.260
##    .sbps2w2           4.814    0.041  116.377    0.000    4.814    2.699
##    .sbps3w2           4.902    0.042  117.331    0.000    4.902    2.719
##    .sbiso1w2          3.414    0.048   71.556    0.000    3.414    1.665
##    .sbiso2w2          3.411    0.045   75.650    0.000    3.411    1.763
##    .sbps1w3           5.292    0.043  124.409    0.000    5.292    3.095
##    .sbps2w3           4.653    0.044  105.651    0.000    4.653    2.620
##    .sbps3w3           4.912    0.043  113.364    0.000    4.912    2.797
##    .sbiso1w3          3.450    0.050   68.979    0.000    3.450    1.739
##    .sbiso2w3          3.650    0.047   77.746    0.000    3.650    1.964
##     att_1             0.000                               0.000    0.000
##    .att_2             0.000                               0.000    0.000
##    .att_3             0.000                               0.000    0.000
##     sb_ps_1           0.000                               0.000    0.000
##    .sb_ps_2           0.000                               0.000    0.000
##    .sb_ps_3           0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .att4w1            0.574    0.030   19.030    0.000    0.574    0.302
##    .att5w1            0.491    0.024   20.743    0.000    0.491    0.339
##    .att6w1            0.596    0.026   22.830    0.000    0.596    0.387
##    .att4w2            0.504    0.028   17.705    0.000    0.504    0.247
##    .att5w2            0.595    0.027   22.026    0.000    0.595    0.339
##    .att6w2            0.676    0.028   23.825    0.000    0.676    0.388
##    .att4w3            0.452    0.033   13.578    0.000    0.452    0.202
##    .att5w3            0.612    0.032   19.055    0.000    0.612    0.306
##    .att6w3            0.729    0.032   22.529    0.000    0.729    0.401
##    .sbps1w1           2.333    0.087   26.809    0.000    2.333    0.594
##    .sbps2w1           1.597    0.066   24.163    0.000    1.597    0.468
##    .sbps3w1           1.087    0.064   17.048    0.000    1.087    0.294
##    .sbiso1w1          2.691    0.099   27.218    0.000    2.691    0.632
##    .sbiso2w1          2.060    0.075   27.404    0.000    2.060    0.657
##    .sbps1w2           1.658    0.063   26.487    0.000    1.658    0.577
##    .sbps2w2           1.273    0.056   22.659    0.000    1.273    0.400
##    .sbps3w2           1.038    0.053   19.443    0.000    1.038    0.319
##    .sbiso1w2          2.652    0.098   27.106    0.000    2.652    0.631
##    .sbiso2w2          2.402    0.088   27.195    0.000    2.402    0.641
##    .sbps1w3           1.322    0.057   23.050    0.000    1.322    0.452
##    .sbps2w3           1.122    0.054   20.632    0.000    1.122    0.356
##    .sbps3w3           0.701    0.048   14.646    0.000    0.701    0.227
##    .sbiso1w3          3.001    0.113   26.584    0.000    3.001    0.763
##    .sbiso2w3          2.755    0.103   26.794    0.000    2.755    0.798
##     att_1             1.328    0.063   20.934    0.000    1.000    1.000
##    .att_2             0.799    0.043   18.416    0.000    0.520    0.520
##    .att_3             0.943    0.052   18.193    0.000    0.528    0.528
##     sb_ps_1           1.596    0.111   14.337    0.000    1.000    1.000
##    .sb_ps_2           0.738    0.054   13.656    0.000    0.607    0.607
##    .sb_ps_3           0.842    0.058   14.416    0.000    0.526    0.526
##         lhs op      rhs est.std    se       z pvalue ci.lower ci.upper
## 1     att_1 =~   att4w1   0.836 0.010  82.092  0.000    0.816    0.855
## 2     att_1 =~   att5w1   0.813 0.011  75.598  0.000    0.792    0.834
## 3     att_1 =~   att6w1   0.783 0.011  68.220  0.000    0.760    0.805
## 4     att_2 =~   att4w2   0.868 0.009  99.729  0.000    0.851    0.885
## 5     att_2 =~   att5w2   0.813 0.010  79.351  0.000    0.793    0.833
## 6     att_2 =~   att6w2   0.782 0.011  70.507  0.000    0.761    0.804
## 7     att_3 =~   att4w3   0.893 0.009 100.156  0.000    0.876    0.911
## 8     att_3 =~   att5w3   0.833 0.011  79.072  0.000    0.812    0.853
## 9     att_3 =~   att6w3   0.774 0.012  62.994  0.000    0.750    0.798
## 10  sb_ps_1 =~  sbps1w1   0.637 0.016  39.638  0.000    0.606    0.669
## 11  sb_ps_1 =~  sbps2w1   0.729 0.014  53.914  0.000    0.703    0.756
## 12  sb_ps_1 =~  sbps3w1   0.840 0.011  77.222  0.000    0.819    0.862
## 13  sb_ps_1 =~ sbiso1w1  -0.607 0.017 -35.593  0.000   -0.640   -0.573
## 14  sb_ps_1 =~ sbiso2w1  -0.586 0.018 -33.091  0.000   -0.620   -0.551
## 15  sb_ps_2 =~  sbps1w2   0.650 0.016  41.440  0.000    0.620    0.681
## 16  sb_ps_2 =~  sbps2w2   0.774 0.012  64.475  0.000    0.751    0.798
## 17  sb_ps_2 =~  sbps3w2   0.825 0.011  77.391  0.000    0.804    0.846
## 18  sb_ps_2 =~ sbiso1w2  -0.608 0.017 -35.793  0.000   -0.641   -0.574
## 19  sb_ps_2 =~ sbiso2w2  -0.599 0.017 -34.766  0.000   -0.633   -0.565
## 20  sb_ps_3 =~  sbps1w3   0.740 0.014  54.323  0.000    0.713    0.767
## 21  sb_ps_3 =~  sbps2w3   0.803 0.012  69.686  0.000    0.780    0.825
## 22  sb_ps_3 =~  sbps3w3   0.879 0.009  93.002  0.000    0.860    0.897
## 23  sb_ps_3 =~ sbiso1w3  -0.487 0.021 -23.010  0.000   -0.529   -0.446
## 24  sb_ps_3 =~ sbiso2w3  -0.450 0.022 -20.394  0.000   -0.493   -0.406
## 25    att_2  ~    att_1   0.695 0.017  41.303  0.000    0.662    0.728
## 26    att_2  ~  sb_ps_1  -0.014 0.023  -0.610  0.542   -0.058    0.031
## 27  sb_ps_2  ~    att_1   0.019 0.024   0.767  0.443   -0.029    0.066
## 28  sb_ps_2  ~  sb_ps_1   0.623 0.020  31.234  0.000    0.584    0.662
## 29    att_3  ~    att_2   0.669 0.018  36.597  0.000    0.634    0.705
## 30    att_3  ~  sb_ps_2   0.078 0.024   3.277  0.001    0.032    0.125
## 31  sb_ps_3  ~    att_2   0.110 0.025   4.404  0.000    0.061    0.159
## 32  sb_ps_3  ~  sb_ps_2   0.662 0.019  34.162  0.000    0.624    0.699
## 33    att_1 ~~  sb_ps_1   0.169 0.027   6.365  0.000    0.117    0.221
## 34    att_2 ~~  sb_ps_2   0.163 0.034   4.852  0.000    0.097    0.228
## 35    att_3 ~~  sb_ps_3   0.254 0.034   7.421  0.000    0.187    0.322
## 36 sbiso1w1 ~~ sbiso2w1   0.148 0.025   5.862  0.000    0.098    0.197
## 37 sbiso1w2 ~~ sbiso2w2   0.357 0.022  16.027  0.000    0.313    0.401
## 38 sbiso1w3 ~~ sbiso2w3   0.477 0.020  23.562  0.000    0.437    0.516
## 39   att4w1 ~~   att4w1   0.302 0.017  17.754  0.000    0.269    0.335
## 40   att5w1 ~~   att5w1   0.339 0.017  19.401  0.000    0.305    0.373
## 41   att6w1 ~~   att6w1   0.387 0.018  21.574  0.000    0.352    0.423
## 42   att4w2 ~~   att4w2   0.247 0.015  16.360  0.000    0.217    0.277
## 43   att5w2 ~~   att5w2   0.339 0.017  20.384  0.000    0.307    0.372
## 44   att6w2 ~~   att6w2   0.388 0.017  22.355  0.000    0.354    0.422
## 45   att4w3 ~~   att4w3   0.202 0.016  12.671  0.000    0.171    0.233
## 46   att5w3 ~~   att5w3   0.306 0.018  17.463  0.000    0.272    0.341
## 47   att6w3 ~~   att6w3   0.401 0.019  21.104  0.000    0.364    0.438
## 48  sbps1w1 ~~  sbps1w1   0.594 0.020  28.963  0.000    0.554    0.634
## 49  sbps2w1 ~~  sbps2w1   0.468 0.020  23.735  0.000    0.430    0.507
## 50  sbps3w1 ~~  sbps3w1   0.294 0.018  16.058  0.000    0.258    0.330
## 51 sbiso1w1 ~~ sbiso1w1   0.632 0.021  30.572  0.000    0.592    0.673
## 52 sbiso2w1 ~~ sbiso2w1   0.657 0.021  31.678  0.000    0.616    0.698
## 53  sbps1w2 ~~  sbps1w2   0.577 0.020  28.275  0.000    0.537    0.617
## 54  sbps2w2 ~~  sbps2w2   0.400 0.019  21.516  0.000    0.364    0.437
## 55  sbps3w2 ~~  sbps3w2   0.319 0.018  18.155  0.000    0.285    0.354
## 56 sbiso1w2 ~~ sbiso1w2   0.631 0.021  30.584  0.000    0.590    0.671
## 57 sbiso2w2 ~~ sbiso2w2   0.641 0.021  31.104  0.000    0.601    0.682
## 58  sbps1w3 ~~  sbps1w3   0.452 0.020  22.412  0.000    0.413    0.492
## 59  sbps2w3 ~~  sbps2w3   0.356 0.018  19.241  0.000    0.320    0.392
## 60  sbps3w3 ~~  sbps3w3   0.227 0.017  13.688  0.000    0.195    0.260
## 61 sbiso1w3 ~~ sbiso1w3   0.763 0.021  36.969  0.000    0.722    0.803
## 62 sbiso2w3 ~~ sbiso2w3   0.798 0.020  40.235  0.000    0.759    0.837
## 63    att_1 ~~    att_1   1.000 0.000      NA     NA    1.000    1.000
## 64    att_2 ~~    att_2   0.520 0.023  23.003  0.000    0.475    0.564
## 65    att_3 ~~    att_3   0.528 0.024  22.140  0.000    0.481    0.575
## 66  sb_ps_1 ~~  sb_ps_1   1.000 0.000      NA     NA    1.000    1.000
## 67  sb_ps_2 ~~  sb_ps_2   0.607 0.024  25.178  0.000    0.560    0.655
## 68  sb_ps_3 ~~  sb_ps_3   0.526 0.025  21.052  0.000    0.477    0.575
## 69   att4w1 ~1            3.465 0.061  57.044  0.000    3.346    3.584
## 70   att5w1 ~1            4.358 0.074  58.620  0.000    4.212    4.504
## 71   att6w1 ~1            3.754 0.065  57.646  0.000    3.627    3.882
## 72   att4w2 ~1            3.345 0.060  56.060  0.000    3.228    3.462
## 73   att5w2 ~1            3.967 0.069  57.242  0.000    3.831    4.102
## 74   att6w2 ~1            3.548 0.063  56.431  0.000    3.424    3.671
## 75   att4w3 ~1            3.080 0.061  50.568  0.000    2.960    3.199
## 76   att5w3 ~1            3.560 0.069  51.585  0.000    3.424    3.695
## 77   att6w3 ~1            3.365 0.066  51.131  0.000    3.236    3.494
## 78  sbps1w1 ~1            2.461 0.046  53.263  0.000    2.370    2.551
## 79  sbps2w1 ~1            2.278 0.044  52.150  0.000    2.193    2.364
## 80  sbps3w1 ~1            2.179 0.042  51.556  0.000    2.096    2.262
## 81 sbiso1w1 ~1            1.979 0.040  50.012  0.000    1.902    2.057
## 82 sbiso2w1 ~1            1.983 0.040  50.015  0.000    1.906    2.061
## 83  sbps1w2 ~1            3.260 0.059  55.582  0.000    3.145    3.375
## 84  sbps2w2 ~1            2.699 0.050  53.735  0.000    2.601    2.798
## 85  sbps3w2 ~1            2.719 0.050  53.847  0.000    2.620    2.818
## 86 sbiso1w2 ~1            1.665 0.036  46.213  0.000    1.595    1.736
## 87 sbiso2w2 ~1            1.763 0.037  47.217  0.000    1.690    1.836
## 88  sbps1w3 ~1            3.095 0.061  50.502  0.000    2.975    3.215
## 89  sbps2w3 ~1            2.620 0.054  48.911  0.000    2.515    2.725
## 90  sbps3w3 ~1            2.797 0.056  49.761  0.000    2.687    2.907
## 91 sbiso1w3 ~1            1.739 0.040  43.746  0.000    1.661    1.817
## 92 sbiso2w3 ~1            1.964 0.043  45.659  0.000    1.880    2.048
## 93    att_1 ~1            0.000 0.000      NA     NA    0.000    0.000
## 94    att_2 ~1            0.000 0.000      NA     NA    0.000    0.000
## 95    att_3 ~1            0.000 0.000      NA     NA    0.000    0.000
## 96  sb_ps_1 ~1            0.000 0.000      NA     NA    0.000    0.000
## 97  sb_ps_2 ~1            0.000 0.000      NA     NA    0.000    0.000
## 98  sb_ps_3 ~1            0.000 0.000      NA     NA    0.000    0.000

Attainment Value and Belonging FS

## Warning in lav_data_full(data = data, group = group, cluster = cluster, : lavaan WARNING: some cases are empty and will be ignored:
##   320 617 968 1056
## lavaan 0.6-6 ended normally after 74 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of free parameters                         74
##                                                       
##                                                   Used       Total
##   Number of observations                          1956        1960
##   Number of missing patterns                        57            
##                                                                   
## Model Test User Model:
##                                                       
##   Test statistic                              1360.761
##   Degrees of freedom                               178
##   P-value (Chi-square)                           0.000
## 
## Model Test Baseline Model:
## 
##   Test statistic                             18922.881
##   Degrees of freedom                               210
##   P-value                                        0.000
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    0.937
##   Tucker-Lewis Index (TLI)                       0.925
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -58285.000
##   Loglikelihood unrestricted model (H1)     -57604.619
##                                                       
##   Akaike (AIC)                              116718.000
##   Bayesian (BIC)                            117130.820
##   Sample-size adjusted Bayesian (BIC)       116895.720
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.058
##   90 Percent confidence interval - lower         0.055
##   90 Percent confidence interval - upper         0.061
##   P-value RMSEA <= 0.05                          0.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.044
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   att_1 =~                                                              
##     att4w1            1.000                               1.155    0.837
##     att5w1            0.846    0.023   37.153    0.000    0.977    0.813
##     att6w1            0.839    0.023   36.170    0.000    0.969    0.781
##   att_2 =~                                                              
##     att4w2            1.000                               1.240    0.868
##     att5w2            0.868    0.022   40.012    0.000    1.076    0.812
##     att6w2            0.833    0.022   38.385    0.000    1.033    0.783
##   att_3 =~                                                              
##     att4w3            1.000                               1.342    0.897
##     att5w3            0.870    0.023   38.572    0.000    1.168    0.827
##     att6w3            0.779    0.022   35.208    0.000    1.046    0.775
##   sb_fs_1 =~                                                            
##     sbfs1w1           1.000                               1.352    0.863
##     sbfs2w1           0.929    0.026   36.211    0.000    1.256    0.799
##     sbfs3w1           0.717    0.030   23.611    0.000    0.969    0.551
##     sbfu1w1           0.624    0.024   25.551    0.000    0.843    0.589
##   sb_fs_2 =~                                                            
##     sbfs1w2           1.000                               1.400    0.848
##     sbfs2w2           0.979    0.025   38.661    0.000    1.370    0.821
##     sbfs3w2           0.737    0.029   25.005    0.000    1.032    0.574
##     sbfu1w2           0.602    0.024   24.960    0.000    0.843    0.577
##   sb_fs_3 =~                                                            
##     sbfs1w3           1.000                               1.460    0.888
##     sbfs2w3           0.935    0.025   36.773    0.000    1.366    0.822
##     sbfs3w3           0.763    0.030   25.376    0.000    1.115    0.608
##     sbfu1w3           0.724    0.026   27.609    0.000    1.058    0.655
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   att_2 ~                                                               
##     att_1             0.743    0.029   25.909    0.000    0.692    0.692
##     sb_fs_1           0.002    0.021    0.093    0.926    0.002    0.002
##   sb_fs_2 ~                                                             
##     att_1             0.015    0.029    0.503    0.615    0.012    0.012
##     sb_fs_1           0.675    0.028   23.796    0.000    0.651    0.651
##   att_3 ~                                                               
##     att_2             0.707    0.030   23.609    0.000    0.653    0.653
##     sb_fs_2           0.103    0.024    4.318    0.000    0.107    0.107
##   sb_fs_3 ~                                                             
##     att_2             0.065    0.031    2.111    0.035    0.055    0.055
##     sb_fs_2           0.679    0.030   22.511    0.000    0.650    0.650
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   att_1 ~~                                                              
##     sb_fs_1           0.397    0.044    9.085    0.000    0.254    0.254
##  .att_2 ~~                                                              
##    .sb_fs_2           0.257    0.033    7.776    0.000    0.271    0.271
##  .att_3 ~~                                                              
##    .sb_fs_3           0.330    0.039    8.537    0.000    0.313    0.313
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .att4w1            4.780    0.032  151.245    0.000    4.780    3.465
##    .att5w1            5.241    0.028  190.225    0.000    5.241    4.358
##    .att6w1            4.655    0.028  163.774    0.000    4.655    3.754
##    .att4w2            4.781    0.033  144.871    0.000    4.781    3.346
##    .att5w2            5.252    0.031  171.543    0.000    5.252    3.967
##    .att6w2            4.681    0.031  153.267    0.000    4.681    3.548
##    .att4w3            4.606    0.037  125.794    0.000    4.606    3.079
##    .att5w3            5.032    0.035  144.641    0.000    5.032    3.560
##    .att6w3            4.537    0.033  136.230    0.000    4.537    3.365
##    .sbfs1w1           4.788    0.036  133.220    0.000    4.788    3.057
##    .sbfs2w1           4.979    0.036  137.995    0.000    4.979    3.169
##    .sbfs3w1           3.217    0.040   79.463    0.000    3.217    1.828
##    .sbfu1w1           5.338    0.033  161.894    0.000    5.338    3.729
##    .sbfs1w2           4.475    0.038  117.042    0.000    4.475    2.709
##    .sbfs2w2           4.844    0.039  125.352    0.000    4.844    2.902
##    .sbfs3w2           3.105    0.042   74.103    0.000    3.105    1.727
##    .sbfu1w2           5.184    0.034  152.285    0.000    5.184    3.548
##    .sbfs1w3           4.282    0.041  105.504    0.000    4.282    2.604
##    .sbfs2w3           4.626    0.041  112.306    0.000    4.626    2.784
##    .sbfs3w3           3.082    0.046   66.850    0.000    3.082    1.680
##    .sbfu1w3           4.655    0.040  114.972    0.000    4.655    2.881
##     att_1             0.000                               0.000    0.000
##    .att_2             0.000                               0.000    0.000
##    .att_3             0.000                               0.000    0.000
##     sb_fs_1           0.000                               0.000    0.000
##    .sb_fs_2           0.000                               0.000    0.000
##    .sb_fs_3           0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .att4w1            0.569    0.030   18.949    0.000    0.569    0.299
##    .att5w1            0.491    0.024   20.828    0.000    0.491    0.340
##    .att6w1            0.599    0.026   22.981    0.000    0.599    0.390
##    .att4w2            0.505    0.028   17.801    0.000    0.505    0.247
##    .att5w2            0.596    0.027   22.127    0.000    0.596    0.340
##    .att6w2            0.674    0.028   23.843    0.000    0.674    0.387
##    .att4w3            0.436    0.033   13.347    0.000    0.436    0.195
##    .att5w3            0.633    0.032   19.767    0.000    0.633    0.317
##    .att6w3            0.725    0.032   22.380    0.000    0.725    0.399
##    .sbfs1w1           0.627    0.041   15.342    0.000    0.627    0.256
##    .sbfs2w1           0.892    0.043   20.929    0.000    0.892    0.361
##    .sbfs3w1           2.157    0.076   28.406    0.000    2.157    0.697
##    .sbfu1w1           1.339    0.048   27.872    0.000    1.339    0.653
##    .sbfs1w2           0.768    0.043   17.987    0.000    0.768    0.282
##    .sbfs2w2           0.909    0.045   20.412    0.000    0.909    0.326
##    .sbfs3w2           2.166    0.078   27.850    0.000    2.166    0.670
##    .sbfu1w2           1.424    0.051   27.851    0.000    1.424    0.667
##    .sbfs1w3           0.572    0.042   13.511    0.000    0.572    0.212
##    .sbfs2w3           0.896    0.047   19.094    0.000    0.896    0.324
##    .sbfs3w3           2.125    0.083   25.633    0.000    2.125    0.631
##    .sbfu1w3           1.492    0.060   24.959    0.000    1.492    0.571
##     att_1             1.334    0.063   21.006    0.000    1.000    1.000
##    .att_2             0.799    0.043   18.453    0.000    0.520    0.520
##    .att_3             0.943    0.052   18.279    0.000    0.523    0.523
##     sb_fs_1           1.827    0.085   21.479    0.000    1.000    1.000
##    .sb_fs_2           1.120    0.065   17.122    0.000    0.572    0.572
##    .sb_fs_3           1.182    0.069   17.177    0.000    0.554    0.554
##        lhs op     rhs est.std    se       z pvalue ci.lower ci.upper
## 1    att_1 =~  att4w1   0.837 0.010  82.805  0.000    0.817    0.857
## 2    att_1 =~  att5w1   0.813 0.011  75.711  0.000    0.792    0.834
## 3    att_1 =~  att6w1   0.781 0.011  68.014  0.000    0.759    0.804
## 4    att_2 =~  att4w2   0.868 0.009 100.131  0.000    0.851    0.885
## 5    att_2 =~  att5w2   0.812 0.010  79.512  0.000    0.792    0.832
## 6    att_2 =~  att6w2   0.783 0.011  70.735  0.000    0.761    0.804
## 7    att_3 =~  att4w3   0.897 0.009 103.032  0.000    0.880    0.914
## 8    att_3 =~  att5w3   0.827 0.011  78.065  0.000    0.806    0.847
## 9    att_3 =~  att6w3   0.775 0.012  63.216  0.000    0.751    0.800
## 10 sb_fs_1 =~ sbfs1w1   0.863 0.010  84.384  0.000    0.843    0.883
## 11 sb_fs_1 =~ sbfs2w1   0.799 0.011  69.708  0.000    0.777    0.822
## 12 sb_fs_1 =~ sbfs3w1   0.551 0.018  30.426  0.000    0.515    0.586
## 13 sb_fs_1 =~ sbfu1w1   0.589 0.017  34.260  0.000    0.555    0.622
## 14 sb_fs_2 =~ sbfs1w2   0.848 0.010  85.535  0.000    0.828    0.867
## 15 sb_fs_2 =~ sbfs2w2   0.821 0.010  78.482  0.000    0.800    0.841
## 16 sb_fs_2 =~ sbfs3w2   0.574 0.018  32.644  0.000    0.540    0.609
## 17 sb_fs_2 =~ sbfu1w2   0.577 0.018  32.960  0.000    0.543    0.611
## 18 sb_fs_3 =~ sbfs1w3   0.888 0.009  94.484  0.000    0.870    0.906
## 19 sb_fs_3 =~ sbfs2w3   0.822 0.011  73.651  0.000    0.800    0.844
## 20 sb_fs_3 =~ sbfs3w3   0.608 0.018  33.889  0.000    0.572    0.643
## 21 sb_fs_3 =~ sbfu1w3   0.655 0.016  39.747  0.000    0.622    0.687
## 22   att_2  ~   att_1   0.692 0.018  39.295  0.000    0.658    0.727
## 23   att_2  ~ sb_fs_1   0.002 0.023   0.093  0.926   -0.043    0.047
## 24 sb_fs_2  ~   att_1   0.012 0.024   0.503  0.615   -0.035    0.060
## 25 sb_fs_2  ~ sb_fs_1   0.651 0.020  33.141  0.000    0.613    0.690
## 26   att_3  ~   att_2   0.653 0.019  33.546  0.000    0.615    0.692
## 27   att_3  ~ sb_fs_2   0.107 0.025   4.342  0.000    0.059    0.156
## 28 sb_fs_3  ~   att_2   0.055 0.026   2.117  0.034    0.004    0.107
## 29 sb_fs_3  ~ sb_fs_2   0.650 0.021  31.436  0.000    0.610    0.691
## 30   att_1 ~~ sb_fs_1   0.254 0.026   9.931  0.000    0.204    0.304
## 31   att_2 ~~ sb_fs_2   0.271 0.033   8.333  0.000    0.208    0.335
## 32   att_3 ~~ sb_fs_3   0.313 0.033   9.553  0.000    0.249    0.377
## 33  att4w1 ~~  att4w1   0.299 0.017  17.671  0.000    0.266    0.332
## 34  att5w1 ~~  att5w1   0.340 0.017  19.472  0.000    0.305    0.374
## 35  att6w1 ~~  att6w1   0.390 0.018  21.723  0.000    0.355    0.425
## 36  att4w2 ~~  att4w2   0.247 0.015  16.439  0.000    0.218    0.277
## 37  att5w2 ~~  att5w2   0.340 0.017  20.471  0.000    0.307    0.372
## 38  att6w2 ~~  att6w2   0.387 0.017  22.362  0.000    0.353    0.421
## 39  att4w3 ~~  att4w3   0.195 0.016  12.468  0.000    0.164    0.225
## 40  att5w3 ~~  att5w3   0.317 0.018  18.092  0.000    0.282    0.351
## 41  att6w3 ~~  att6w3   0.399 0.019  20.953  0.000    0.361    0.436
## 42 sbfs1w1 ~~ sbfs1w1   0.256 0.018  14.482  0.000    0.221    0.290
## 43 sbfs2w1 ~~ sbfs2w1   0.361 0.018  19.718  0.000    0.325    0.397
## 44 sbfs3w1 ~~ sbfs3w1   0.697 0.020  34.933  0.000    0.658    0.736
## 45 sbfu1w1 ~~ sbfu1w1   0.653 0.020  32.289  0.000    0.614    0.693
## 46 sbfs1w2 ~~ sbfs1w2   0.282 0.017  16.761  0.000    0.249    0.314
## 47 sbfs2w2 ~~ sbfs2w2   0.326 0.017  19.001  0.000    0.293    0.360
## 48 sbfs3w2 ~~ sbfs3w2   0.670 0.020  33.187  0.000    0.631    0.710
## 49 sbfu1w2 ~~ sbfu1w2   0.667 0.020  33.007  0.000    0.627    0.707
## 50 sbfs1w3 ~~ sbfs1w3   0.212 0.017  12.674  0.000    0.179    0.244
## 51 sbfs2w3 ~~ sbfs2w3   0.324 0.018  17.673  0.000    0.288    0.360
## 52 sbfs3w3 ~~ sbfs3w3   0.631 0.022  28.960  0.000    0.588    0.674
## 53 sbfu1w3 ~~ sbfu1w3   0.571 0.022  26.504  0.000    0.529    0.614
## 54   att_1 ~~   att_1   1.000 0.000      NA     NA    1.000    1.000
## 55   att_2 ~~   att_2   0.520 0.023  23.066  0.000    0.476    0.564
## 56   att_3 ~~   att_3   0.523 0.024  22.153  0.000    0.477    0.570
## 57 sb_fs_1 ~~ sb_fs_1   1.000 0.000      NA     NA    1.000    1.000
## 58 sb_fs_2 ~~ sb_fs_2   0.572 0.024  23.959  0.000    0.525    0.618
## 59 sb_fs_3 ~~ sb_fs_3   0.554 0.025  22.257  0.000    0.505    0.603
## 60  att4w1 ~1           3.465 0.061  57.037  0.000    3.346    3.584
## 61  att5w1 ~1           4.358 0.074  58.612  0.000    4.212    4.503
## 62  att6w1 ~1           3.754 0.065  57.638  0.000    3.626    3.882
## 63  att4w2 ~1           3.346 0.060  56.069  0.000    3.229    3.463
## 64  att5w2 ~1           3.967 0.069  57.249  0.000    3.831    4.103
## 65  att6w2 ~1           3.548 0.063  56.439  0.000    3.425    3.671
## 66  att4w3 ~1           3.079 0.061  50.607  0.000    2.960    3.199
## 67  att5w3 ~1           3.560 0.069  51.601  0.000    3.425    3.695
## 68  att6w3 ~1           3.365 0.066  51.152  0.000    3.236    3.494
## 69 sbfs1w1 ~1           3.057 0.055  55.642  0.000    2.949    3.164
## 70 sbfs2w1 ~1           3.169 0.057  56.027  0.000    3.058    3.280
## 71 sbfs3w1 ~1           1.828 0.038  48.505  0.000    1.754    1.902
## 72 sbfu1w1 ~1           3.729 0.065  57.201  0.000    3.601    3.857
## 73 sbfs1w2 ~1           2.709 0.050  53.960  0.000    2.611    2.808
## 74 sbfs2w2 ~1           2.902 0.053  54.716  0.000    2.798    3.006
## 75 sbfs3w2 ~1           1.727 0.037  46.938  0.000    1.655    1.800
## 76 sbfu1w2 ~1           3.548 0.063  56.256  0.000    3.424    3.671
## 77 sbfs1w3 ~1           2.604 0.053  48.810  0.000    2.499    2.708
## 78 sbfs2w3 ~1           2.784 0.056  49.425  0.000    2.673    2.894
## 79 sbfs3w3 ~1           1.680 0.040  42.161  0.000    1.602    1.758
## 80 sbfu1w3 ~1           2.881 0.058  49.547  0.000    2.767    2.995
## 81   att_1 ~1           0.000 0.000      NA     NA    0.000    0.000
## 82   att_2 ~1           0.000 0.000      NA     NA    0.000    0.000
## 83   att_3 ~1           0.000 0.000      NA     NA    0.000    0.000
## 84 sb_fs_1 ~1           0.000 0.000      NA     NA    0.000    0.000
## 85 sb_fs_2 ~1           0.000 0.000      NA     NA    0.000    0.000
## 86 sb_fs_3 ~1           0.000 0.000      NA     NA    0.000    0.000

Multilevel SEM Model