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Computational Strategies and Estimation Performance With Bayesian Semiparametric Item Response Theory Models

Author

Listed:
  • Sally Paganin
  • Christopher J. Paciorek

    (University of California, Berkeley)

  • Claudia Wehrhahn

    (University of California, Santa Cruz)

  • Abel Rodríguez

    (University of Washington, Seattle)

  • Sophia Rabe-Hesketh
  • Perry de Valpine

    (University of California, Berkeley)

Abstract

Item response theory (IRT) models typically rely on a normality assumption for subject-specific latent traits, which is often unrealistic in practice. Semiparametric extensions based on Dirichlet process mixtures (DPMs) offer a more flexible representation of the unknown distribution of the latent trait. However, the use of such models in the IRT literature has been extremely limited, in good part because of the lack of comprehensive studies and accessible software tools. This article provides guidance for practitioners on semiparametric IRT models and their implementation. In particular, we rely on NIMBLE, a flexible software system for hierarchical models that enables the use of DPMs. We highlight efficient sampling strategies for model estimation and compare inferential results under parametric and semiparametric models.

Suggested Citation

  • Sally Paganin & Christopher J. Paciorek & Claudia Wehrhahn & Abel Rodríguez & Sophia Rabe-Hesketh & Perry de Valpine, 2023. "Computational Strategies and Estimation Performance With Bayesian Semiparametric Item Response Theory Models," Journal of Educational and Behavioral Statistics, , vol. 48(2), pages 147-188, April.
    • Handle: RePEc:sae:jedbes:v:48:y:2023:i:2:p:147-188
    DOI: 10.3102/10769986221136105
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    References listed on IDEAS

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