An IERI – International Educational Research Institute Journal
From: A comparison of three approaches to covariate effects on latent factors
Model | # Free parameters | Chi-square value | Chi-square scale factor | Chi-square DF | Chi-square p-value | CFI | TLI | RMSEA estimate | 90% CI RMSEA | RMSEA p-value | SRMR | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
1. Single-factor CFA | 21 | 931.68 | 2.85 | 14 | < 0.001 | 0.879 | 0.819 | 0.090 | 0.085 | 0.095 | < 0.001 | 0.062 |
2. Single-factor CFA with Correlated Residuals | 24 | 91.97 | 2.50 | 11 | < 0.001 | 0.989 | 0.980 | 0.030 | 0.025 | 0.036 | 1.000 | 0.019 |
3. MIMIC Model | 32 | 553.43 | 1.73 | 59 | < 0.001 | 0.963 | 0.951 | 0.032 | 0.030 | 0.035 | 1.000 | 0.028 |
4. Multiple Group Measurement Invariance—Student Sex | ||||||||||||
 4a. Configural Invariance Model | 48 | 133.62 | 2.11 | 22 | < 0.001 | 0.986 | 0.973 | 0.035 | 0.030 | 0.041 | 1.000 | 0.021 |
 4b. Metric Model | 42 | 135.36 | 2.37 | 28 | < 0.001 | 0.987 | 0.980 | 0.031 | 0.026 | 0.036 | 1.000 | 0.031 |
 4c. Scalar Model | 36 | 228.70 | 2.22 | 34 | < 0.001 | 0.976 | 0.970 | 0.037 | 0.033 | 0.042 | 1.000 | 0.043 |
5. Multiple Group Measurement Invariance—Language At Home | ||||||||||||
 5a. Configural Invariance Model | 48 | 1.94 | 126.03 | 22 | < 0.001 | 0.990 | 0.980 | 0.034 | 0.029 | 0.040 | 1.000 | 0.019 |
 5b. Metric Model | 42 | 1.83 | 138.77 | 28 | < 0.001 | 0.989 | 0.983 | 0.031 | 0.026 | 0.037 | 1.000 | 0.023 |
 5c. Scalar Model | 36 | 1.74 | 163.93 | 34 | < 0.001 | 0.987 | 0.984 | 0.031 | 0.026 | 0.036 | 1.000 | 0.024 |
6. Multiple Group Measurement Invariance—Home Resources | ||||||||||||
 6a. Configural Invariance Model | 72 | 2.02 | 139.50 | 33 | < 0.001 | 0.990 | 0.980 | 0.035 | 0.029 | 0.041 | 1.000 | 0.020 |
 6b. Metric Model | 60 | 1.85 | 190.56 | 45 | < 0.001 | 0.986 | 0.980 | 0.035 | 0.030 | 0.040 | 1.000 | 0.042 |
 6c. Scalar Model | 48 | 1.75 | 240.19 | 57 | < 0.001 | 0.982 | 0.980 | 0.035 | 0.030 | 0.039 | 1.000 | 0.042 |
7. Multiple Group Measurement Invariance—Achievement Category | ||||||||||||
 7a. Configural Invariance Model | 120 | 1.66 | 213.79 | 55 | < 0.001 | 0.984 | 0.969 | 0.042 | 0.036 | 0.048 | 0.986 | 0.021 |
 7b. Metric Model | 96 | 1.79 | 537.53 | 79 | < 0.001 | 0.954 | 0.939 | 0.060 | 0.055 | 0.064 | < 0.001 | 0.107 |
 7c. Scalar Model | 72 | 1.76 | 825.92 | 103 | < 0.001 | 0.927 | 0.926 | 0.066 | 0.061 | 0.070 | < 0.001 | 0.115 |