BAYESIAN DIAGNOSTICS FOR TEST DESIGN AND ANALYSIS
Keywords:classical test theory, empirical bayes, item response theory, markov chain monte carlo, JAGS
This paper attempts to bridge the gap between classical test theory and item response theory. It is demonstrated that the familiar and popular statistics used in classical test theory can be translated into a Bayesian framework where all of the advantages of the Bayesian paradigm can be realized. In particular, prior opinion can be introduced and inferences can be obtained using posterior distributions. In addition, the use of the JAGS programming language facilitates extensions to more complex scenarios involving the assessment of tests and questionnaires.
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