Table 2.
Model Comparison for Measurement Invariance
| Study 1 | ||||||||
|---|---|---|---|---|---|---|---|---|
| Gender | ||||||||
| Model | χ2 | df | CFI | RMSEA | SRMR | Δχ2 | Δdf | p-value |
| Configural | 330.521 | 38 | .940 | .087 | .048 | - | - | - |
| Metric | 343.865 | 45 | .938 | .081 | .051 | 13.344 | 7 | .064 |
| Scalar | 392.461 | 52 | .930 | .080 | .055 | 48.596 | 7 | <.001 |
| Scalar – i=8 | 386.803 | 51 | .931 | .080 | .054 | 42.938 | 6 | <.001 |
| Scalar – i=4,8 | 358.674 | 50 | .936 | .078 | .052 | 14.809 | 5 | .011 |
| Education | ||||||||
| Configural | 366.760 | 73 | .936 | .089 | .049 | - | - | - |
| Metric | 418.274 | 97 | .929 | .081 | .062 | 51.514 | 24 | <.001 |
| Metric – i=4 | 398.611 | 94 | .933 | .080 | .057 | 31.851 | 21 | .061 |
| Scalar – i=4 | 477.010 | 112 | .920 | .080 | .062 | 78.399 | 18 | <.001 |
| Scalar— i=1,4 | 442.555 | 109 | .927 | .078 | .060 | 43.944 | 15 | <.001 |
| Scalar— i=1,4,8 | 420.421 | 106 | .931 | .076 | .058 | 21.810 | 12 | .040 |
| Race | ||||||||
| Configural | 362.330 | 76 | .940 | .086 | .048 | - | - | - |
| Metric | 391.384 | 97 | .939 | .077 | .054 | 29.054 | 21 | .113 |
| Scalar | 432.118 | 118 | .935 | .073 | .056 | 40.734 | 21 | .006 |
| Scalar – i=4 | 429.963 | 115 | .934 | .074 | .056 | 38.579 | 18 | .003 |
| Study 2 | ||||||||
| Gender | ||||||||
| Model | χ2 | df | CFI | RMSEA | SRMR | χ2 diff | df | p-value |
| Configural | 203.570 | 38 | .931 | .129 | .056 | - | - | - |
| Metric | 226.160 | 45 | .924 | .124 | .083 | 22.590 | 7 | .002 |
| Metric – i=8 | 222.697 | 44 | .925 | .125 | .078 | 19.127 | 6 | .004 |
| Metric – i=4,8 | 213.567 | 43 | .929 | .123 | .066 | 9.997 | 5 | .075 |
| Scalar – i=4,8 | 217.500 | 48 | .929 | .116 | .067 | 3.933 | 5 | .559 |
| Education (high school degree and up to college degree) | ||||||||
| Configural | 194.722 | 38 | .930 | .131 | .056 | - | - | - |
| Metric | 198.335 | 45 | .932 | .119 | .061 | 3.613 | 7 | .823 |
| Scalar | 203.153 | 52 | .933 | .110 | .061 | 4.818 | 7 | .682 |
Note: χ2=chi-square statistic; Δχ2=chi-square difference; df=degrees of freedom; i=item free to vary