Table 4.
Type of invariance | χ2 | df | CFI | TLI | RMSEA [90% CI] | χ2 difference testa | df | p |
---|---|---|---|---|---|---|---|---|
Configural | 364.903** | 276 | .986 | .986 | .040 [.028, .051] | --- | --- | --- |
Weak factorial/matric | 355.216** | 289 | .989 | .990 | .034 [.020, .045] | 10.332 | 13 | .667 |
Strong factorial/scalar | 371.943** | 302 | .989 | .990 | .034 [.020, .045] | 14.679 | 17 | .619 |
Strict factorialb | 371.943** | 302 | .989 | .990 | .034 [.020, .045] | 22.517 | 17 | .166 |
Factor variance | 362.178* | 306 | .991 | .992 | .030 [.014, .042] | 3.539 | 4 | .472 |
Factor covariance | 340.518 | 312 | .995 | .996 | .021 [.000, .035] | 4.730 | 6 | .579 |
Factor mean | 335.966 | 316 | .997 | .997 | .018 [.000, .033] | 3.089 | 4 | .543 |
Note. df = Degrees of freedom; CFI = Comparative Fit Index; TLI = Tucker-Lewis Index; RMSEA = root mean square error of approximation;
CI = confidence interval.
p < .01,
p < .05
χ2 difference test computed using the DIFFTEST option in Mplus.
Fit statistics for the strict factorial invariance model are the same as the strong factorial/scalar invariance model but the model was compared to one that allowed residual variances to be freely estimated across groups, as indicated with results of the χ2 difference test.