Direct Estimation of Diagnostic Classification Model Attribute Mastery Profiles via a Collapsed Gibbs Sampling Algorithm

Kazuhiro Yamaguchi () and Jonathan Templin
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Kazuhiro Yamaguchi: University of Tsukuba
Jonathan Templin: The University of Iowa

Psychometrika, 2022, vol. 87, issue 4, No 9, 1390-1421

Abstract: Abstract This paper proposes a novel collapsed Gibbs sampling algorithm that marginalizes model parameters and directly samples latent attribute mastery patterns in diagnostic classification models. This estimation method makes it possible to avoid boundary problems in the estimation of model item parameters by eliminating the need to estimate such parameters. A simulation study showed the collapsed Gibbs sampling algorithm can accurately recover the true attribute mastery status in various conditions. A second simulation showed the collapsed Gibbs sampling algorithm was computationally more efficient than another MCMC sampling algorithm, implemented by JAGS. In an analysis of real data, the collapsed Gibbs sampling algorithm indicated good classification agreement with results from a previous study.

Keywords: diagnostic classification models; Markov chain Monte Carlo method; Gibbs sampling; Bayesian inference (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s11336-022-09857-7

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