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BUGS Code for Item Response Theory

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  • Curtis, S. McKay

Abstract

I present BUGS code to fit common models from item response theory (IRT), such as the two parameter logistic model, three parameter logisitic model, graded response model, generalized partial credit model, testlet model, and generalized testlet models. I demonstrate how the code in this article can easily be extended to fit more complicated IRT models, when the data at hand require a more sophisticated approach. Specifically, I describe modifications to the BUGS code that accommodate longitudinal item response data.

Suggested Citation

  • Curtis, S. McKay, 2010. "BUGS Code for Item Response Theory," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 36(c01).
    • Handle: RePEc:jss:jstsof:v:036:c01
    DOI: http://hdl.handle.net/10.18637/jss.v036.c01
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    Cited by:

    1. Martin Hernani Merino & Enver Gerald Tarazona Vargas & Antonieta Hamann Pastorino & José Afonso Mazzon, 2014. "Validation of Sustainable Development Practices Scale Using the Bayesian Approach to Item Response Theory," Tržište/Market, Faculty of Economics and Business, University of Zagreb, vol. 26(2), pages 147-162.
    2. Yang Liu & Jan Hannig, 2017. "Generalized Fiducial Inference for Logistic Graded Response Models," Psychometrika, Springer;The Psychometric Society, vol. 82(4), pages 1097-1125, December.
    3. Chun Wang & Steven W. Nydick, 2020. "On Longitudinal Item Response Theory Models: A Didactic," Journal of Educational and Behavioral Statistics, , vol. 45(3), pages 339-368, June.
    4. Peida Zhan & Hong Jiao & Kaiwen Man & Lijun Wang, 2019. "Using JAGS for Bayesian Cognitive Diagnosis Modeling: A Tutorial," Journal of Educational and Behavioral Statistics, , vol. 44(4), pages 473-503, August.
    5. Pascal Jordan & Meike C Shedden-Mora & Bernd Löwe, 2017. "Psychometric analysis of the Generalized Anxiety Disorder scale (GAD-7) in primary care using modern item response theory," PLOS ONE, Public Library of Science, vol. 12(8), pages 1-14, August.
    6. Wheadon, Chris, 2014. "Classification Accuracy and Consistency under Item Response Theory Models Using the Package classify," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 56(i10).
    7. Lei Guo & Wenjie Zhou & Xiao Li, 2024. "Cognitive Diagnosis Testlet Model for Multiple-Choice Items," Journal of Educational and Behavioral Statistics, , vol. 49(1), pages 32-60, February.

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