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Person-fit methods based on classical test theory and item response theory (IRT), and methods investigating particular types of response behavior on tests, are examined. Similarities and differences among person-fit methods and their advantages and disadvantages are discussed. Sound person-fit methods have been derived for the Rasch model. For other IRT models, the empirical and theoretical distributions differ for most person-fit statistics when used with short and moderate length tests. Thedoi:10.1177/01466210122031957 fatcat:wudx5ghjvnf7lkakuedlodma64