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ERIC Number: EJ901765
Record Type: Journal
Publication Date: 2010-Jun
Pages: 35
Abstractor: As Provided
Reference Count: 61
ISSN: ISSN-1076-9986
A Multilevel Mixture IRT Model with an Application to DIF
Cho, Sun-Joo; Cohen, Allan S.
Journal of Educational and Behavioral Statistics, v35 n3 p336-370 Jun 2010
Mixture item response theory models have been suggested as a potentially useful methodology for identifying latent groups formed along secondary, possibly nuisance dimensions. In this article, we describe a multilevel mixture item response theory (IRT) model (MMixIRTM) that allows for the possibility that this nuisance dimensionality may function differently at different levels. A MMixIRT model is described that enables simultaneous detection of differences in latent class composition at both examinee and school levels. The MMixIRTM can be viewed as a combination of an IRT model, an unrestricted latent class model, and a multilevel model. A Bayesian estimation of the MMixIRTM is described including analysis of label switching, use of priors, and model selection strategies. Results of a simulation study indicated that the generated parameters were recovered very well for the conditions considered. Use of MMixIRTM also was illustrated with the standardized mathematics test. (Contains 10 tables and 3 figures.)
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A