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BAYESIAN ITEM FIT ANALYSIS FOR DICHOTOMOUS ITEM RESPONSE THEORY MODELS

BAYESIAN ITEM FIT ANALYSIS FOR DICHOTOMOUS ITEM RESPONSE THEORY MODELS

ABSTRACT Detecting item fit for common dichotomous item response theory (IRT) models has always been an issue of enormous interest, but there exists no unanimously agreed upon item fit diagnostic for the models. This paper employs the posterior predictive model checking method (Guttman, 1967; Rubin, 1981, 1984), a popular Bayesian …