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A Bayesian Method for Evaluating Passing Scores: The PPoP Curve

Howard Wainer, X. A. Wang, William P. Skorupski and Eric T. Bradlow
Journal of Educational Measurement
Vol. 42, No. 3 (Fall, 2005), pp. 271-281
Stable URL: http://www.jstor.org/stable/20461793
Page Count: 11
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A Bayesian Method for Evaluating Passing Scores: The PPoP Curve
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Abstract

In this note, we demonstrate an interesting use of the posterior distributions (and corresponding posterior samples of proficiency) that are yielded by fitting a fully Bayesian test scoring model to a complex assessment. Specifically, we examine the efficacy of the test in combination with the specific passing score that was chosen through expert judgment, or, in general, any external a priori criterion. In addition, we study the robustness of the test's efficacy with respect to choice of the passing score.

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