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- Title
A Comparison of Item Fit Statistics for Mixed IRT Models.
- Authors
Kyong Hee Chon; Won-Chan Lee; Dunbar, Stephen B.
- Abstract
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 , Orlando and Thissen's and , and Stone's and . To investigate the relative performance of the fit statistics at the item level, we conducted two simulation studies: Type I error and power studies. We evaluated the performance of the item fit indices for various conditions of test length, sample size, and IRT models. Among the competing measures, the summed score-based indices and were found to be the sensible and efficient choice for assessing model fit for mixed format data. These indices performed well, particularly with short tests. The pseudo-observed score indices, and , showed inflated Type I error rates in some simulation conditions. Consistent with the findings of current literature, the PARSCALE's index was rarely useful, although it provided reasonable results for long tests.
- Subjects
ITEM response theory; EDUCATIONAL evaluation; EDUCATIONAL tests &; measurements; MATHEMATICAL models; SIMULATION methods &; models
- Publication
Journal of Educational Measurement, 2010, Vol 47, Issue 3, p318
- ISSN
0022-0655
- Publication type
Article
- DOI
10.1111/j.1745-3984.2010.00116.x