On Person Parameter Estimation in the Dichotomous Rasch Model

Abstract

An overview is given of person parameter estimation in the Rasch model. In Section 4.2 some notation is introduced. Section 4.3 presents four types of estimators: the maximum likelihood, the Bayes modal, the weighted maximum likelihood, and the Bayes expected a posteriori estimator. In Section 4.4 a simulation study is presented in which properties of the estimators are evaluated. Section 4.5 covers randomized confidence intervals for person parameters. In Section 4.6 some sample statistics are mentioned that were computed using estimates of θ. Finally, a short discussion of the estimators is given in Section 4.7.