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. 2022 Mar 9;13:830850. doi: 10.3389/fpsyg.2022.830850

TABLE 2.

Measurement invariance models comparing the Italian and Belgian sample.

Model Compared model χ2 df CFI ΔCFI RMSEA ΔRMSEA SRMR BIC ΔBIC
0 Configural inv. 235.02 160 0.956 0.044 0.054 20,456
1 Weak factorial inv. a 0 248.31 170 0.954 −0.002 0.044 0.000 0.062 20,413 −43
2 Strong factorial inv. b 1 295.53 180 0.932 −0.022 0.052 + 0.008 0.070 20,405 −8
2.1 Partial strong factorial inv. c 1 277.97 179 0.941 −0.013 0.048 + 0.004 0.067 20,391 −22
3 Strict factorial inv. d 2.1 321.96 194 0.924 −0.017 0.053 + 0.005 0.083 20,355 −36
3.1 Partial strict factorial inv. e 2.1 313.55 193 0.929 −0.012 0.051 + 0.003 0.079 20,351 −40
3.2 Partial strict factorial inv. f 2.1 304.13 192 0.934 −0.007 0.050 + 0.002 0.078 20,346 −45
4 Factor (co)var. inv. g 3.2 345.97 207 0.918 −0.016 0.053 + 0.003 0.103 20,309 −37
4.1 Partial factor (co)var. inv. h 3.2 333.58 206 0.924 −0.010 0.051 + 0.001 0.099 20,299 −47
5 Factor means inv. i 4.1 385.40 211 0.897 −0.027 0.059 + 0.008 0.113 20,329 + 30
5.1 Partial factor means inv. j 4.1 342.47 210 0.922 −0.002 0.052 + 0.001 0.103 20,284 −15

CFI, Comparative fit index; RMSEA, Root mean square error of approximation; SRMR, Standardized root mean square residual; BIC, Bayesian information criterion; inv., invariance; (co)var., (co)variance.

a Model with constrained factor loadings across countries. b Model with constrained intercepts and free latent means on top of the constraints of Model 1. c Model as Model 2, with the intercept of item 9 released, so it could vary across countries. d Model with constrained residual variances on top of the constraints of Model 2.1. e Model as Model 3, with the residual variance of item 7 released.f Model as Model 3.1, with the residual variance of item 2 released. g Model with constrained factor (co)variances on top of the constraints of Model 3.2. h Model as Model 4, with the factor variance of Non-Intervention released. i Model with constrained factor means on top of the constraints of Model 4.1. j Model as Model 5, with the factor mean of Group Discussion released.