Table 2.
Tests of measurement invariance between groups.
| Model | X2 | df | p | SCF | ΔX2 | p | CFI | TLI | AIC | SABIC | RMSEA [90% CI] |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Religiosity | |||||||||||
| Raised Religious Identity Between Catholics, Protestants, and Other (n=1036): | |||||||||||
| Configural invariance | 0.999 | 3 | 0.801 | 1.280 | -- | -- | 1.000 | 1.004 | 26343.943 | 26445.300 | 0.000 [0.000, 0.038] |
| Metric invariance | 10.252 | 9 | 0.331 | 1.073 | 9.544 | 0.145 | 1.000 | 0.999 | 26341.665 | 26427.429 | 0.013 [0.000, 0.043] |
| Constraining the latent | 11.012 | 11 | 0.442 | 1.000 | 1.132 | 0.568 | 1.000 | 1.000 | 26337.679 | 26418.245 | 0.001 [0.000, 0.037] |
| Constraining the latent /> & covariance |
11.359 | 13 | 0.581 | 1.045 | 0.268 | 0.874 | 1.000 | 1.001 | 26334.531 | 26409.900 | 0.000 [0.000, 0.031] |
| Current Religious Identity Between Catholics, Protestants, and Other (n=1636):: | |||||||||||
| Configural invariance | 2.383 | 3 | 0.497 | 1.085 | -- | -- | 1.000 | 1.002 | 17288.792 | 17375.496 | 0.000 [0.000, 0.066] |
| Metric invariance | 13.372 | 9 | 0.147 | 1.063 | 10.446 | 0.107 | 0.998 | 0.995 | 17288.422 | 17361.787 | 0.030 [0.000, 0.061] |
| Constraining the latent | 17.119 | 11 | 0.104 | 1.015 | 4.690 | 0.096 | 0.997 | 0.995 | 17287.588 | 17356.507 | 0.032 [0.00. 0.060] |
| Constraining the latent /> & covariance |
39.528 | 13 | 0.000 | 1.074 | 16.024 | 0.000 | 0.986 | 0.980 | 17308.669 | 17373.142 | 0.061 [0.040, 0.083] |
| Internalized Homonegativity | |||||||||||
| Raised Religious Identity Between Catholics, Protestants, and Other (n=1030): | |||||||||||
| Configural | 53.532 | 33 | 0.013 | 1.159 | -- | -- | 0.992 | 0.984 | 67484.811 | 67671.811 | 0.028 [0.013, 0.041] |
| Metric 1st Order | 65.186 | 41 | 0.010 | 1.165 | 9.795 | 0.280 | 0.990 | 0.985 | 67482.766 | 67648.989 | 0.027 [0.014, 0.039] |
| Metric 2nd Order | 71.864 | 45 | 0.007 | 1.161 | 5.962 | 0.202 | 0.989 | 0.985 | 67482.256 | 67638.090 | 0.027 [0.015, 0.039] |
| Current Religious Identity Between Catholics, Protestants, and Other (n=1634): | |||||||||||
| Configural | 60.061 | 33 | 0.003 | 1.148 | -- | -- | 0.985 | 0.971 | 46461.827 | 46621.808 | 0.039 [0.023, 0.054] |
| Metric 1st Order | 70.383 | 41 | 0.003 | 1.159 | 8.570 | 0.380 | 0.984 | 0.975 | 46458.461 | 46600.666 | 0.036 [0.021, 0.050] |
| Metric 2nd Order | 75.378 | 45 | 0.003 | 1.156 | 4.439 | 0.350 | 0.983 | 0.976 | 46456.034 | 46589.352 | 0.035 [0.021, 0.049] |
NOTE: SCF=Scaling Correction Factor, CFI=Comparative Fit Index, TLI=Tucker-Lewis Index, AIC=Akaike Information Criterion, SABIC=Sample Size Adjusted Bayes Information Criteria, RMSEA=Root Mean Square Error of Approximation. R1: How important is religion in your life? R2: How religious are you? R3: How often do you pray? R4: How spiritual are you?