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Pan, Tianshu; Yin, Yue – Applied Measurement in Education, 2017
In this article, we propose using the Bayes factors (BF) to evaluate person fit in item response theory models under the framework of Bayesian evaluation of an informative diagnostic hypothesis. We first discuss the theoretical foundation for this application and how to analyze person fit using BF. To demonstrate the feasibility of this approach,…
Descriptors: Bayesian Statistics, Goodness of Fit, Item Response Theory, Monte Carlo Methods