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A Bayesian Method for Evaluating Passing Scores: The PPoP Curve
Authors:Howard Wainer  X A Wang  William P Skorupski  Eric T Bradlow
Institution:National Board of Medical Examiners; University of Virginia; University of Kansas; University of Pennsylvania
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.
Keywords:
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