A Person Fit Test For Irt Models For Polytomous Items

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A Systematic Review of the Methodology for Person Fit Research in Item Response Theory: Lessons about Generalizability of Inferences from the Design of Simulation Studies (2013, background): “Notably, only a few researchers have systematically investigated person fit for polytomous IRT models (Emons, 2008, 2009; Glas & Dagohoy, 2007) or continuousresponse IRT models (Ferrando, 2010).”
Detection of Item Preknowledge Using Likelihood Ratio Test and Score Test (2017, methodology): “…context of person-fit assessment, Romero, Riascos, and Jara (2015) used the LRT to detect whether an examinee was involved in answer copying, and Glas and Dagohoy (2007) used the score test to examine whether the performance of an examinee varied over several subtests (involving polytomous…”
A Didactic Presentation of Snijders’s lz* Index of Person Fit With Emphasis on Response Model Selection and Ability Estimation (2012, background): “Recently, some person fit indexes and tests for misfit have been introduced for polytomous items (Emons, 2009; Glas & Dagohoy, 2007).”
Statistical Tests of Conditional Independence Between Responses and/or Response Times on Test Items (2010, methodology): “LM tests have been used earlier to diagnose other violations of the fit of IRT models; for the current research, the results in Glas (1999), Glas and Dagohoy (2007), and Glas and Suárez Falcón (2003) are particularly important.”