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Bayesian Item Selection Criteria for Adaptive Testing

1998/06/01 by Wim J. van der Linden · 1 citation
Decision Sciences · Computer Science · Social Sciences · #Psychometric Methodologies and Testing #Advanced Statistical Modeling Techniques #Educational Assessment and Pedagogy

paper · pdf · doi:10.1007/bf02294775

Abstract

Owen (1975) proposed an approximate empirical Bayes procedure for item selection in computerized adaptive testing (CAT). The procedure replaces the true posterior by a normal approximation with closed-form expressions for its first two moments. This approximation was necessary to minimize the computational complexity involved in a fully Bayesian approach but is no longer necessary given the computational power currently available for adaptive testing. This paper suggests several item selection criteria for adaptive testing which are all based on the use of the true posterior. Some of the statistical properties of the ability estimator produced by these criteria are discussed and empirically characterized.

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