Table 3.
Results of tests of invariance for the VETERAN (N = 314) and DOPPS (N = 3,300) samples
| Comparative Statistics | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| Model | χ2 | df | Contrast with Model # | Δχ2 | Δdf | Unadj. p < | Bonf. Adj. p < | ΔCFI | w2 |
| 1. Baseline model: Two factors (KDCS & SF-36) with no invariance constraints | 2796.225 | 178 | - - | - - | - - | - - | - - | - - | - - |
| 2. KDCS factor loadings invariant | 2819.092 | 184 | 1 | 22.867 | 6 | .00085 | .025 | .0003 | .08 |
| 3. SF-36 factor loadings invariant | 2804.771 | 185 | 1 | 8.546 | 7 | .29 | ns | .0002 | .05 |
| 4. KDCS Burden subscale loading invariant | 2796.239 | 179 | 1 | 0.014 | 1 | .91 | ns | <.0001 | <.01 |
| 5. KDCS Social Interaction subscale loading invariant | 2799.730 | 179 | 1 | 3.505 | 1 | .062 | ns | .0004 | .03 |
| 6. KDCS Cognitive subscale loading invariant | 2796.928 | 179 | 1 | 0.703 | 1 | .41 | ns | <.0001 | .01 |
| 7. KDCS Effects subscale loading invariant | 2798.687 | 179 | 1 | 2.462 | 1 | .12 | ns | .0005 | .03 |
| 8. KDCS Sleep subscale loading invariant | 2811.091 | 179 | 1 | 14.866 | 1 | .00012 | .0036 | .0003 | .06 |
| 9. KDCS Social Support subscale loading invariant | 2803.528 | 179 | 1 | 7.303 | 1 | .0069 | ns | .0001 | .04 |
| 10. Partially metric invariant model (factor loadings for KDCS Sleep & Social Support subscales noninvariant) | 2810.567 | 189 | 1 | 14.342 | 11 | .22 | ns | .0003 | .06 |
| 11. Partially invariant model with 5 metric invariant KDCS subscale intercepts invariant | 2894.471 | 194 | 10 | 83.904 | 5 | .000001 | .00005 | .0019 | .15 |
| 12. Partially invariant model with 8 metric invariant SF36 subscale intercepts invariant | 2964.251 | 197 | 10 | 153.684 | 8 | .000001 | .00005 | .0040 | .21 |
| 13. Partially invariant model with intercept of KDCS Burden subscale invariant | 2812.836 | 190 | 10 | 2.269 | 1 | .14 | ns | .0003 | .03 |
| 14. Partially invariant model with intercept of KDCS Social Interaction subscale invariant | 2838.461 | 190 | 10 | 27.894 | 1 | .000001 | .00005 | .0008 | .09 |
| 15. Partially invariant model with intercept of KDCS Cognitive subscale invariant | 2835.202 | 190 | 10 | 24.635 | 1 | .000001 | .00005 | .0007 | .08 |
| 16. Partially invariant model with intercept of KDCS Symptoms subscale invariant | 2877.711 | 190 | 10 | 67.144 | 1 | .000001 | .00005 | .0015 | .14 |
| 17. Partially invariant model with intercept of KDCS Effects subscale invariant | 2839.951 | 190 | 10 | 29.384 | 1 | .000001 | .00005 | .0008 | .09 |
| 18. Partially invariant model with intercept of SF-36 PF subscale invariant | 2815.734 | 190 | 10 | 5.167 | 1 | .024 | ns | .0004 | .04 |
| 19. Partially invariant model with intercept of SF-36 RP subscale invariant | 2846.345 | 190 | 10 | 35.778 | 1 | .000001 | .00005 | .0001 | .10 |
| 20. Partially invariant model with intercept of SF-36 BP subscale invariant | 2819.639 | 190 | 10 | 9.072 | 1 | .0026 | ns | .0004 | .05 |
| 21. Partially invariant model with intercept of SF-36 GH subscale invariant | 2810.568 | 190 | 10 | 0.001 | 1 | .98 | ns | .0003 | <.01 |
| 22. Partially invariant model with intercept of SF-36 MH subscale invariant | 2837.769 | 190 | 10 | 27.202 | 1 | .000001 | .00005 | .0008 | .09 |
| 23. Partially invariant model with intercept of SF-36 RE subscale invariant | 2900.352 | 190 | 10 | 89.785 | 1 | .000001 | .00005 | .0018 | .16 |
| 24. Partially invariant model with intercept of SF-36 SF subscale invariant | 2831.587 | 190 | 10 | 21.020 | 1 | .000005 | .00016 | .0007 | .08 |
| 25. Partially invariant model with intercept of SF-36 VT subscale invariant | 2810.914 | 190 | 10 | 0.347 | 1 | .56 | ns | .0003 | <.01 |
| 26. Partially metric invariant model with two-factor variances & covariance invariant | 2816.786 | 192 | 10 | 6.219 | 3 | .11 | ns | .0005 | .04 |
| 27. Partially metric invariant model with factor variances-covariance & unique error variances for KDCS subscales invariant | 2866.086 | 199 | 26 | 49.300 | 7 | .000001 | .00005 | .0007 | .12 |
| 28. Partially metric invariant model with factor variances-covariance & unique error variances for SF-36 subscales invariant | 2840.570 | 200 | 26 | 23.784 | 8 | .0025 | ns | <.0001 | .09 |
| 29. Partially metric invariant model with factor variances-covariance & unique error variance for KDCS Burden subscale invariant | 2827.202 | 193 | 26 | 10.416 | 1 | .0013 | .036 | .0003 | .07 |
| 30. Partially metric invariant model with factor variances-covariance & unique error variance for KDCS Social Interaction subscale invariant | 2816.909 | 193 | 26 | 0.123 | 1 | .73 | ns | .0006 | .01 |
| 31. Partially metric invariant model with factor variances-covariance & unique error variance for KDCS Cognitive subscale invariant | 2821.228 | 193 | 26 | 4.442 | 1 | .036 | ns | .0001 | .04 |
| 32. Partially metric invariant model with factor variances-covariance & unique error variance for KDCS Symptoms subscale invariant | 2825.083 | 193 | 26 | 8.297 | 1 | .004 | ns | .0001 | .05 |
| 33. Partially metric invariant model with factor variances-covariance & unique error variance for KDCS Effects subscale invariant | 2816.917 | 193 | 26 | 0.131 | 1 | .72 | ns | .0006 | .01 |
| 34. Partially metric invariant model with factor variances-covariance & unique error variance for KDCS Sleep subscale invariant | 2838.330 | 193 | 26 | 21.544 | 1 | .000004 | .00013 | <.0001 | .08 |
| 35. Partially metric invariant model with factor variances-covariance & unique error variance for KDCS Social Support subscale invariant | 2821.074 | 193 | 26 | 4.288 | 1 | .039 | ns | .0009 | .03 |
| 36. Partially metric invariant model with factor variances-covariance & unique error variance for SF-36 PF subscale invariant | 2817.060 | 193 | 26 | 0.274 | 1 | .61 | ns | .0006 | .01 |
| 37. Partially metric invariant model with factor variances-covariance & unique error variance for SF-36 RP subscale invariant | 2818.194 | 193 | 26 | 1.408 | 1 | .24 | ns | .0004 | .02 |
| 38. Partially metric invariant model with factor variances-covariance & unique error variance for SF-36 BP subscale invariant | 2816.855 | 193 | 26 | 0.069 | 1 | .80 | ns | .0007 | <.01 |
| 39. Partially metric invariant model with factor variances-covariance & unique error variance for SF-36 GH subscale invariant | 2819.464 | 193 | 26 | 2.678 | 1 | .11 | ns | .0003 | .03 |
| 40. Partially metric invariant model with factor variances-covariance & unique error variance for SF-36 MH subscale invariant | 2817.791 | 193 | 26 | 1.005 | 1 | .32 | ns | .0009 | .02 |
| 41. Partially metric invariant model with factor variances-covariance & unique error variance for SF-36 RE subscale invariant | 2821.873 | 193 | 26 | 5.087 | 1 | .025 | ns | .0011 | .09 |
| 42. Partially metric invariant model with factor variances-covariance & unique error variance for SF-36 SF subscale invariant | 2821.253 | 193 | 26 | 4.467 | .035 | ns | .0002 | .04 | |
| 43. Partially metric invariant model with factor variances-covariance & unique error variance for SF-36 VT subscale invariant | 2826.729 | 193 | 26 | 9.943 | .0017 | .045 | .0002 | .05 | |