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Bayesian Analysis Methods for Two-Level Diagnosis Classification Models

Author

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  • Kazuhiro Yamaguchi

    (University of Tsukuba)

Abstract

Understanding whether or not different types of students master various attributes can aid future learning remediation. In this study, two-level diagnostic classification models (DCMs) were developed to represent the probabilistic relationship between external latent classes and attribute mastery patterns. Furthermore, variational Bayesian (VB) inference and Gibbs sampling Markov chain Monte Carlo methods were developed for parameter estimation of the two-level DCMs. The results of a parameter recovery simulation study show that both techniques appropriately recovered the true parameters; Gibbs sampling in particular was slightly more accurate than VB, whereas VB performed estimation much faster than Gibbs sampling. The two-level DCMs with the proposed Bayesian estimation methods were further applied to fourth-grade data obtained from the Trends in International Mathematics and Science Study 2007 and indicated that mathematical activities in the classroom could be organized into four latent classes, with each latent class connected to different attribute mastery patterns. This information can be employed in educational intervention to focus on specific latent classes and elucidate attribute patterns.

Suggested Citation

  • Kazuhiro Yamaguchi, 2023. "Bayesian Analysis Methods for Two-Level Diagnosis Classification Models," Journal of Educational and Behavioral Statistics, , vol. 48(6), pages 773-809, December.
    • Handle: RePEc:sae:jedbes:v:48:y:2023:i:6:p:773-809
    DOI: 10.3102/10769986231173594
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    References listed on IDEAS

    as
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    Cited by:

    1. Steven Andrew Culpepper & Gongjun Xu, 2023. "Introduction to JEBS Special Issue on Diagnostic Statistical Models," Journal of Educational and Behavioral Statistics, , vol. 48(6), pages 687-689, December.

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