Table 2.
Comparison of the bifactor models of interest for the second research question of the simulation study
| Statistics | Number of specific factors | Model | |||
|---|---|---|---|---|---|
| RTM | ETM | GSM | CORB | ||
| 0.695 | 0.688 | 0.710 | 0.750 | ||
| 3 | (0.194) | (0.180) | (0.186) | (0.147) | |
| 0.767 | 0.768 | 0.771 | 0.795 | ||
| 4 | (0.135) | (0.143) | (0.130) | (0.115) | |
| 0.790 | 0.779 | 0.796 | 0.814 | ||
| Average correlation of the general factor EAP point estimates with their true values (SD) | 5 | (0.131) | (0.148) | (0.130) | (0.110) |
| 0.524 | 0.532 | 0.504 | 0.643 | ||
| 3 | (0.164) | (0.200) | (0.188) | (0.144) | |
| 0.383 | 0.385 | 0.527 | 0.472 | ||
| 4 | (0.328) | (0.348) | (0.172) | (0.384) | |
| 0.304 | 0.324 | 0.558 | 0.375 | ||
| Average correlation of specific factors EAP point-estimates with their true values (SD) | 5 | (0.350) | (0.349) | (0.168) | (0.425) |
| 0.517 | 0.601 | 0.673 | 0.601 | ||
| 3 | (0.239) | (0.180) | (0.157) | (0.171) | |
| 0.626 | 0.694 | 0.747 | 0.690 | ||
| 4 | (0.186) | (0.122) | (0.114) | (0.131) | |
| 0.650 | 0.685 | 0.767 | 0.713 | ||
| Average EAP reliability of the general factor (SD) | 5 | (0.193) | (0.162) | (0.125) | (0.147) |
| 0.320 | 0.378 | 0.395 | 0.466 | ||
| 3 | (0.151) | (0.142) | (0.132) | (0.130) | |
| 0.321 | 0.377 | 0.412 | 0.461 | ||
| 4 | (0.144) | (0.138) | (0.120) | (0.123) | |
| 0.338 | 0.379 | 0.439 | 0.482 | ||
| Average EAP reliability of the specific factors (SD) | 5 | (0.146) | (0.121) | (0.119) | (0.113) |
| 20256.51 | 20150.09 | 20095.42 | 20059.69 | ||
| 3 | (691.54) | (671.80) | (668.94) | (670.87) | |
| 26347.71 | 26166.26 | 26028.61 | 25997.71 | ||
| 4 | (689.87) | (654.67) | (653.10) | (651.39) | |
| 32190.70 | 32043.03 | 31744.09 | 31726.26 | ||
| Average AIC (SD) | 5 | (1042.07) | (1068.81) | (986.44) | (992.03) |
| 20334.93 | 20245.30 | 20185.03 | 20171.71 | ||
| 3 | (691.54) | (671.80) | (668.94) | (670.87) | |
| 26448.52 | 26289.48 | 26157.44 | 26154.53 | ||
| 4 | (689.87) | (654.67) | (653.10) | (651.39) | |
| 32313.92 | 32194.26 | 31917.72 | 31933.49 | ||
| Average BIC (SD) | 5 | (1042.07) | (1068.81) | (986.44) | (992.03) |
| 0.392 | 0.343 | 0.423 | 0.170 | ||
| 3 | (0.075) | (0.097) | (0.134) | (0.093) | |
| 0.364 | 0.315 | 0.380 | 0.169 | ||
| 4 | (0.071) | (0.072) | (0.134) | (0.077) | |
| 0.339 | 0.295 | 0.322 | 0.158 | ||
| Average RMSE of correlation matrix (SD) | 5 | (0.051) | (0.052) | (0.087) | (0.055) |
| −0.073 | 0.082 | 0.503 | −0.191 | ||
| 3 | (1.046) | (0.787) | (1.055) | (0.541) | |
| 0.037 | 0.074 | 0.574 | −0.078 | ||
| 4 | (0.843) | (0.623) | (0.837) | (0.450) | |
| 0.056 | 0.053 | 0.548 | −0.130 | ||
| Average bias of the general factor variance (SD) | 5 | (0.685) | (0.452) | (0.679) | (0.400) |
| −0.203 | −0.253 | −0.662 | −0.186 | ||
| 3 | (1.224) | (1.245) | (1.341) | (0.548) | |
| −0.192 | −0.374 | −0.316 | −0.151 | ||
| 4 | (1.081) | (1.023) | (1.554) | (0.529) | |
| −0.102 | −0.285 | −0.085 | −0.071 | ||
| Average bias of the specific factor variances (SD) | 5 | (1.064) | (0.945) | (1.705) | (0.524) |