Table 5.
Model fit indices summary for single-group and multiple-group comparisons
| Model type | Constraints | SB χ2 | df | RMSEA | RMSEA (90 % CI) | CFI | TLI | Model comparison | ∆SB χ2 | ∆df | P value | ∆CFI |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Factor structure in single group | ||||||||||||
| 1. Interviewer administration | None | 799.64 | 485 | 0.0647 | (0.0566, 0.0726) | 0.963 | 0.960 | NA | NA | NA | NA | NA |
| 2. Self-administration | None | 1066.81 | 485 | 0.0716 | (0.0658, 0.0774) | 0.977 | 0.975 | NA | NA | NA | NA | NA |
| Multiple-group comparisons | ||||||||||||
| 3. Full configural invariance | Factor structure | 1804.21 | 970 | 0.0665 | (0.0617, 0.0712) | 0.962 | 0.958 | NA | NA | NA | NA | NA |
| 4. Full metric invariance | Factor structure, factor loadings | 1837.51 | 998 | 0.0658 | (0.0610, 0.0705) | 0.962 | 0.959 | 3 vs 4 | 33.29 | 28 | 0.225 | 0.000 |
| 5. Full scalar invariance | Factor structure, factor loadings, intercepts | 1964.54 | 1026 | 0.0686 | (0.0640, 0.0731) | 0.957 | 0.956 | 3 vs 5 | 127.04 | 28 | 0.000 | -0.005 |
| 6. Partial scalar invariance | Factor structure, factor loadings, intercepts (GF1, GP3, GS3 freely estimated) | 1862.34 | 1023 | 0.0649 | (0.0603, 0.0696) | 0.962 | 0.960 | 4 vs 6 | 24.83 | 25 | 0.472 | 0.000 |
| 7. Partial strict factorial invariance | Factor structure, factor loadings, intercepts (GF1, GP3, GS3 freely estimated), error variance (GF1, GP3, GS3 freely estimated) | 1839.99 | 1053 | 0.0620 | (0.0573, 0.0667) | 0.964 | 0.964 | 6 vs 7 | 22.35 | 30 | 0.841 | 0.002 |
SB Satorra–Bentler, df degree of freedom, RMSEA root mean square error of approximation, CFI comparative fit index, TLI Tucker–Lewis index