A Mixture Item Response Model for Multiple-Choice Data

A Mixture Item Response Model for Multiple-Choice Data

A mixture item response model is proposed for investigating individual differences in the selection of response categories in multiple-choice items. The model accounts for local dependence among response categories by assuming that examinees belong to discrete latent classes that have different prop...

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Bibliographische Detailangaben
Veröffentlicht in:Journal of Educational and Behavioral Statistics. - SAGE Publishing, 1976. - 26(2001), 4, Seite 381-409
1. Verfasser: Bolt, Daniel M. (VerfasserIn)
Weitere Verfasser: Cohen, Allan S., Wollack, James A.
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2001
Zugriff auf das übergeordnete Werk:Journal of Educational and Behavioral Statistics
Schlagworte:Cognitive Diagnosis Differential Alternative Functioning Item Response Theory Markov Chain Monte Carlo Estimation Mixture Modeling Nominal Response Model Mathematics Information science Behavioral sciences Linguistics Applied sciences
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520 |a A mixture item response model is proposed for investigating individual differences in the selection of response categories in multiple-choice items. The model accounts for local dependence among response categories by assuming that examinees belong to discrete latent classes that have different propensities towards those responses. Varying response category propensities are captured by allowing the category intercept parameters in a nominal response model (Bock, 1972) to assume different values across classes. A Markov Chain Monte Carlo algorithm for the estimation of model parameters and classification of examinees is described. A real-data example illustrates how the model can be used to distinguish examinees that are disproportionately attracted to different types of distractors in a test of English usage. A simulation study evaluates item parameter recovery and classification accuracy in a hypothetical multiple-choice test designed to be diagnostic. Implications for test construction and the use of multiple-choice tests to perform cognitive diagnoses of item response patterns are discussed. 
540 |a Copyright 2002 American Educational Research Association and the American Statistical Association 
650 4 |a Cognitive Diagnosis 
650 4 |a Differential Alternative Functioning 
650 4 |a Item Response Theory 
650 4 |a Markov Chain Monte Carlo Estimation 
650 4 |a Mixture Modeling 
650 4 |a Nominal Response Model 
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700 1 |a Cohen, Allan S.  |e verfasserin  |4 aut 
700 1 |a Wollack, James A.  |e verfasserin  |4 aut 
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952 |d 26  |j 2001  |e 4  |h 381-409