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. Author manuscript; available in PMC: 2025 Aug 30.
Published in final edited form as: J Educ Behav Stat. 2024 Jun 18;50(3):497–525. doi: 10.3102/10769986241256030

Table 3.

Average Relative Biases and RMSEs of Item Parameter Estimates and Standard Errors (SE) in Simulated Data

No. of traits Est. method Keyed direction Estimate intertrait correlations Est. time (min) Discrimination Intercept
Estimate SE Estimate SE
Rel. bias RMSE Percent inestimable (%) Rel. bias RMSE Rel. bias RMSE Percent inestimable (%) Rel. bias RMSE
5 QMCEM Same Y 34 .00 .24 0 .03 .05 −.01 .14 0 .13 .06
N 29 .00 .26 0 .08 .06 −.01 .14 0 .12 .05
Mixed Y 37 .00 .22 0 .03 .06 −.01 .15 0 .11 .07
N 31 .00 .28 0 .07 .06 −.01 .16 0 .10 .07
MHRM Same Y 52 .00 .14 11 −.09 .07 .00 .14 6 −.08 .07
N 51 .00 .14 9 .00 .07 .00 .14 6 −.03 .07
Mixed Y 54 .00 .14 13 .19 .10 .01 .15 8 .08 .09
N 54 .00 .14 9 .05 .08 .01 .15 6 .01 .08
15a QMCEM Same N 354 −.02 .55 .02 .33
Mixed N 370 −.01 .56 .03 .36
MHRM Same N 1270 .00 .17 10 −.11 .10 −.01 .16 5 −.08 .11
Mixed N 890 .00 .19 4 −.09 .11 .01 .17 2 −.04 .12

Note. — = Standard errors of item parameters were not estimated in this condition due to extremely long run time.

a

Intertrait correlations were fixed in this condition due to estimation difficulty.