Table 4.
Comparative Goodness-of-Fit of Four-Group Structural Equation Models for Religiosity and Behavioral Adjustment
| Model Label | χ2 | df | p(exact) | CFI | RMSEA | p(close) | Δχ2 | Δdf | p(d) |
|---|---|---|---|---|---|---|---|---|---|
| Church Attendance Predicting Internalizing and Externalizing Symptomatology | |||||||||
| Configural Invariance | 0 | 60 | 1.00 | ||||||
| Equal Gender Effect | 12.57 | 12 | .40 | .99 | .01 | .89 | 12.57 | 12 | .40 |
| Equal Maltreatment Effect | 25.37 | 18 | .12 | .93 | .04 | .76 | 12.80 | 6 | < .05 |
| Importance of Faith Predicting Internalizing and Externalizing Symptomatology | |||||||||
| Configural Invariance | 0 | 60 | 1.00 | ||||||
| Equal Gender Effect | 16.20 | 12 | .18 | .96 | .03 | .74 | 16.20 | 12 | .18 |
| Equal Maltreatment Effect | 28.95 | 18 | .05 | .88 | .04 | .61 | 12.74 | 6 | < .05 |
Note. p(exact) = probability of an exact fit to the data; CFI = comparative-fit index; RMSEA = root mean square error of approximation; p(close) = probability of a close fit to the data; Δχ2 = difference in likelihood ratio tests; Δdf = difference in df; p(d) = probability of the difference tests.