A Noniterative Equating Coefficients Estimation in EM Cycles of the Continuous Response Model

Abstract

In this study, we proposed an estimation method for equating coefficients of the continuous response model based on the common examinees design. This method applies the EM algorithm according to the Shojima (2003) method, but does not require numerical approximation in E-step or numerical iteration in M-step. We also presented a general framework for when data were missing at random and confirmed the unbiasedness of the proposed estimator using simulation studies. Finally, we illustrated an example of numerical analysis on a real data.