Invariance step | χ2 value | df | Scaling correction | χ2 difference testa | CFI | ΔCFI | TLI | ΔTLI | RMSEA (90% CI) | ΔRMSEA | SRMR | ΔSRMR | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | Weak invariance (loadings) | 468.41 | 203 | 1.06 | – | 0.925 | – | 0.899 | – | 0.053 (0.047–0.059) | – | 0.047 | – |
2 | Strong invariance (loadings, intercepts) | 506.94 | 223 | 1.06 | Model 2 vs. 1 Δχ2 = 38.70** | 0.92 | 0.005 | 0.902 | − 0.003 | 0.052 (0.046–0.058) | 0.001 | 0.05 | − 0.003 |
3 | Strict Invariance (loadings, intercepts, residual variances) | 595.42 | 251 | 1.08 | Model 3 vs. 2 Δχ2 = 86.39*** | 0.903 | 0.017 | 0.894 | 0.008 | 0.054 (0.049–0.06) | − 0.002 | 0.069 | − 0.019 |
3p | P. strict variance (loadings, intercepts, residual variances) | 561.85 | 249 | 1.08 | Model 3p vs. 2 Δχ2 = 55.23*** | 0.911 | 0.009 | 0.903 | − 0.001 | 0.052 (0.046–0.058) | 0 | 0.06 | − 0.01 |
4 | Loadings, intercepts, residual variances (p), factor variances and covariances | 620.81 | 269 | 1.08 | Model 4 vs. 3p Δχ2 = 58.16*** | 0.9 | 0.011 | 0.899 | 0.004 | 0.053 (0.047–0.058) | − 0.001 | 0.09 | − 0.03 |