A Bayesian/IRT Index of Objective Performance 1

Abstract

This paper presents a combination Bayesian/Item Response Theory procedure for pooling performance on a particular objective with information about an examinee’s overall test performance in order to produce more stable objective scores. The procedure, including the calculation of a posterior distribution, is described. A split-half cross validation study finds that a credibility interval based on the posterior distribution is sufficiently accurate to be useful for scoring reports for teachers.

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