Table 3.
Fit Statistics for Invariance of GBI across Racial Groups
| Model | n | χ2 | Df | p | Δχ2 | Δdf | p | CFI | ΔCFI | RMSEA | RMSEA CI | SRMR |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 GBI White Participants | 985 | 1011.58 | 167 | .00 | - | - | - | .938 | - | .072 | 067–.076 | .041 |
| 2 GBI Black Participants | 285 | 508.83 | 167 | .00 | - | - | - | .934 | - | .085 | .076–.093 | .036 |
| 3 Configural Invariance | 1270 | 1534.92 | 334 | .00 | - | - | - | .937 | - | .075 | .071–.079 | .040 |
| 4 Weak Invariance | 1270 | 1578.21 | 355 | .00 | 35.98 | 21 | .43 | .936 | −.001 | .074 | .070–.077 | .068 |
| 5 Strong Invariance | 1270 | 1674.99 | 373 | .00 | 104.10 | 18 | .09 | .932 | −.004 | .074 | .071–.078 | .069 |
| 6 Strict Invariance | 1270 | 2954.33 | 430 | .00 | 1384.01 | 57 | .00 | .867 | −.065 | .096 | .093–.099 | .250 |
| 7* Invariant Factor Means | 1270 | 1676.40 | 374 | .00 | 1.41 | 1 | .97 | .932 | 0 | .074 | .070–.078 | .069 |
| 8* Invariant Factor Variances | 1270 | 1670.23 | 371 | .00 | 4.76 | 2 | .94 | .932 | 0 | .074 | .071–.078 | .045 |
Note.
*
Change in chi-square was calculated using the Satorra-Bentler Chi-Square difference test formula. Models 1 and 2 refer to the CFAs with White and Black participants, respectively.
*
Models 7 and 8 were evaluated relative to the strong (scalar) invariance model.