Table 3.
Comparison of the bifactor models of interest for the third research question of the simulation study
| Statistics | Length of specific factors | Model | |||
|---|---|---|---|---|---|
| RTM | ETM | GSM | CORB | ||
| 0.850 | 0.846 | 0.850 | 0.868 | ||
| 3 items | (0.083) | (0.084) | (0.084) | (0.071) | |
| 0.865 | 0.866 | 0.862 | 0.893 | ||
| 5 items | (0.098) | (0.126) | (0.101) | (0.064) | |
| 0.849 | 0.862 | 0.849 | 0.894 | ||
| Average correlation of the general factor EAP point estimates with their true values (SD) | 7 items | (0.133) | (0.153) | (0.132) | (0.072) |
| 0.307 | 0.332 | 0.546 | 0.384 | ||
| 3 items | (0.361) | (0.371) | (0.179) | (0.438) | |
| 0.349 | 0.360 | 0.624 | 0.421 | ||
| 5 items | (0.411) | (0.405) | (0.159) | (0.462) | |
| 0.383 | 0.401 | 0.673 | 0.454 | ||
| Average correlation of specific factors EAP point-estimates with their true values (SD) | 7 items | (0.430) | (0.417) | (0.148) | (0.479) |
| 0.740 | 0.769 | 0.813 | 0.768 | ||
| 3 items | (0.128) | (0.090) | (0.090) | (0.095) | |
| 0.774 | 0.804 | 0.863 | 0.803 | ||
| 5 items | (0.118) | (0.078) | (0.066) | (0.102) | |
| 0.771 | 0.820 | 0.879 | 0.815 | ||
| Average EAP reliability of the general factor (SD) | 7 items | (0.152) | (0.096) | (0.089) | (0.106) |
| 0.339 | 0.392 | 0.430 | 0.493 | ||
| 3 items | (0.138) | (0.118) | (0.113) | (0.109) | |
| 0.432 | 0.471 | 0.547 | 0.569 | ||
| 5 items | (0.154) | (0.133) | (0.119) | (0.114) | |
| 0.508 | 0.531 | 0.633 | 0.642 | ||
| Average EAP reliability of the specific factors (SD) | 7 items | (0.163) | (0.148) | (0.116) | (0.113) |
| 36133.58 | 35988.58 | 35664.30 | 35568.71 | ||
| 3 items | (1398.77) | (1337.36) | (1315.10) | (1323.55) | |
| 55848.24 | 55656.65 | 55099.90 | 54986.73 | ||
| 5 items | (2064.83) | (2088.40) | (2016.15) | (1994.92) | |
| 74980.44 | 74311.80 | 73853.91 | 73716.20 | ||
| Average AIC (SD) | 7 items | (3645.04) | (3527.21) | (3575.12) | (3570.18) |
| 36268.00 | 36151.01 | 35849.13 | 35787.14 | ||
| 3 items | (1398.77) | (1337.36) | (1315.10) | (1323.55) | |
| 56038.68 | 55875.08 | 55340.73 | 55261.18 | ||
| 5 items | (2064.83) | (2088.40) | (2016.15) | (1994.92) | |
| 75226.88 | 74586.25 | 74150.75 | 74046.65 | ||
| Average BIC (SD) | 7 items | (3645.04) | (3527.21) | (3575.12) | (3570.18) |
| 0.343 | 0.295 | 0.347 | 0.101 | ||
| 3 items | (0.054) | (0.055) | (0.149) | (0.040) | |
| 0.339 | 0.277 | 0.311 | 0.093 | ||
| 5 items | (0.051) | (0.051) | (0.084) | (0.033) | |
| 0.344 | 0.281 | 0.319 | 0.089 | ||
| Average RMSE of correlation matrix (SD) | 7 items | (0.051) | (0.053) | (0.094) | (0.042) |
| 0.073 | 0.011 | 0.408 | −0.077 | ||
| 3 items | (0.649) | (0.429) | (0.661) | (0.260) | |
| 0 | −0.052 | 0.387 | −0.093 | ||
| 5 items | (0.541) | (0.332) | (0.541) | (0.254) | |
| 0.009 | −0.079 | 0.457 | −0.126 | ||
| Average bias of the general factor variance (SD) | 7 items | (0.672) | (0.290) | (0.735) | (0.280) |
| −0.204 | −0.455 | −0.276 | 0.025 | ||
| 3 items | (1.002) | (0.867) | (1.780) | (0.411) | |
| −0.155 | −0.143 | −0.153 | −0.014 | ||
| 5 items | (0.723) | (0.652) | (1.618) | (0.280) | |
| −0.189 | −0.094 | −0.094 | −0.060 | ||
| Average bias of the specific factor variances (SD) | 7 items | (0.787) | (0.654) | (2.431) | (0.284) |