Table 5.
Mean and Standard Deviation (SD) of True Reliabilities, Empirical Reliabilities, and RMSEs of Trait Score Estimates Based on Estimated Item Parameters and Intertrait Correlations
| Number of traits | Estimation method | Keyed direction | Estimate intertrait correlations | True reliability | Empirical reliability | RMSE of estimates | |||
|---|---|---|---|---|---|---|---|---|---|
| Mean | SD | Mean | SD | Mean | SD | ||||
| 5 | QMCEM | Same | Y | .69 | .06 | .76 | .08 | .85 | .06 |
| N | .70 | .06 | .77 | .06 | .79 | .06 | |||
| Mixed | Y | .78 | .05 | .83 | .03 | .67 | .05 | ||
| N | .78 | .06 | .83 | .05 | .68 | .05 | |||
| MHRM | Same | Y | .70 | .06 | .77 | .07 | .78 | .07 | |
| N | .70 | .06 | .77 | .06 | .78 | .06 | |||
| Mixed | Y | .78 | .05 | .83 | .03 | .65 | .05 | ||
| N | .78 | .05 | .83 | .03 | .65 | .05 | |||
| 15 | QMCEM | Same | N | .67 | .09 | .73 | .08 | 1.15 | .04 |
| Mixed | N | .75 | .07 | .78 | .08 | .99 | .04 | ||
| MHRM | Same | N | .67 | .09 | .76 | .08 | .83 | .05 | |
| Mixed | N | .76 | .06 | .81 | .06 | .63 | .04 | ||