Table 3.
Goodness of Fit Statistics for Factorial Invariance Models across Language and Heritage; Total N = 5,313
| Model | S-Bχ2 | df | CFI | SRMR | RMSEA | Reference Model # |
ΔCFI | ΔSRMR | ΔRMSEA | Δ S-B χ2 | Δdf | Δp |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
|
| ||||||||||||
| Spanish | 279.02 | 48 | .977 | .028 | .035 | |||||||
| English | 129.09 | 48 | .966 | .035 | .039 | |||||||
| 1. Configural | 408.11 | 96 | .972 | .032 | .037 | |||||||
| 2. Metric | 449.22 | 104 | .973 | .032 | .036 | 1 | .001 | .000 | .001 | 41.06 | 8 | <.001 |
| 3. Scalar | 682.86 | 112 | .955 | .038 | .044 | 2 | .018 | .006 | .008 | 256.28 | 8 | <.001 |
| 4. Factor | 809.05 | 122 | .946 | .062 | .047 | 3 | .009 | .024 | .003 | 128.75 | 10 | <.001 |
|
| ||||||||||||
| Mexican | 273.42 | 48 | .955 | .038 | .048 | |||||||
| Puerto Rican | 99.68 | 48 | .975 | .033 | .035 | |||||||
| Cuban | 76.82 | 48 | .986 | .030 | .029 | |||||||
| Central American | 64.13 | 48 | .988 | .031 | .025 | |||||||
| Dominican | 74.84 | 48 | .980 | .038 | .032 | |||||||
| South American | 57.19 | 48 | .989 | .043 | .024 | |||||||
| 5. Configural | 646.08 | 288 | .979 | .036 | .032 | |||||||
| 6. Metric | 695.95 | 328 | .971 | .038 | .037 | 5 | .008 | .002 | .005 | 48.41 | 40 | .170 |
| 7. Scalar | 905.35 | 368 | .957 | .042 | .042 | 6 | .014 | .004 | .005 | 229.68 | 40 | <.001 |
| 8. Factor | 1036.59 | 418 | .951 | .055 | .042 | 7 | .006 | .013 | .000 | 131.63 | 50 | <.001 |
Note. S-Bχ2 = Satorra-Bentler chi-square; df = degrees of freedom; CFI = comparative fit index; SRMR = standardized root mean square residual; RMSEA = root mean square error of approximation