Table 1.
Model | Invariance level | Chi-2 (df) | RMSEA (90% CI) | CFI | TLI | ΔRMSEA | ΔCFI | |
---|---|---|---|---|---|---|---|---|
Main analysis (ELSA: n = 3,246) | Bifactor model | Configural | 1691 (357) | 0.034 (0.032, 0.036) | 0.981 | 0.975 | ||
Scalar | 1962 (441) | 0.033 (0.031, 0.034) | 0.978 | 0.977 | 0.001 | −0.003 | ||
Correlated factors model | Configural | 1874 (375) | 0.035 (0.034, 0.037) | 0.978 | 0.973 | |||
Scalar | 2374 (429) | 0.037 (0.036, 0.039) | 0.972 | 0.970 | −0.002 | −0.006 | ||
Comparative analysis (CHARLS: n = 5,57l) | Bifactor model | Configural | 2378 (234) | 0.041 (0.039, 0.042) | 0.958 | 0.945 | ||
Scalar | 2789 (289) | 0.039 (0.038, 0.041) | 0.951 | 0.948 | 0.002 | −0.007 | ||
Correlated factors model | Configural | 2118 (253) | 0.036 (0.035, 0.038) | 0.963 | 0.956 | |||
Scalar | 2967 (289) | 0.041 (0.039, 0.042) | 0.947 | 0.944 | −0.005 | −0.016 |
Note. df: degrees of freedom; RMSEA: Root Mean Square Error of Approximation; CFI: Comparative Fit Index; TLI: Tucker-Lewis Index; ΔRMSEA: difference in RMSEA; ΔCFI: difference in TLI. Scalar invariance is usually deemed to hold if the difference between the configural model in the RMSEA (ΔRMSEA) and the Comparative Fit Index (CFI) is smaller than 0.015 and 0.010, respectively. Configural invariance is usually deemed to hold if the values of the root mean square error of approximation (RMSEA) and the Tucker-Lewis Index (TLI) for the configural model were below 0.060 and above 0.950, respectively (24).