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Kim, Hyung Jin; Lee, Won-Chan – Journal of Educational Measurement, 2022
Orlando and Thissen (2000) introduced the "S - X[superscript 2]" item-fit index for testing goodness-of-fit with dichotomous item response theory (IRT) models. This study considers and evaluates an alternative approach for computing "S - X[superscript 2]" values and other factors associated with collapsing tables of observed…
Descriptors: Goodness of Fit, Test Items, Item Response Theory, Computation
Chon, Kyong Hee; Lee, Won-Chan; Dunbar, Stephen B. – Journal of Educational Measurement, 2010
In this study we examined procedures for assessing model-data fit of item response theory (IRT) models for mixed format data. The model fit indices used in this study include PARSCALE's G[superscript 2], Orlando and Thissen's S-X[superscript 2] and S-G[superscript 2], and Stone's chi[superscript 2*] and G[superscript 2*]. To investigate the…
Descriptors: Test Length, Goodness of Fit, Item Response Theory, Simulation