Variational Estimation for Multidimensional Generalized Partial Credit Model

Chengyu Cui, Chun Wang () and Gongjun Xu ()
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Chengyu Cui: University of Michigan
Chun Wang: University of Washington
Gongjun Xu: University of Michigan

Psychometrika, 2024, vol. 89, issue 3, No 9, 929-957

Abstract: Abstract Multidimensional item response theory (MIRT) models have generated increasing interest in the psychometrics literature. Efficient approaches for estimating MIRT models with dichotomous responses have been developed, but constructing an equally efficient and robust algorithm for polytomous models has received limited attention. To address this gap, this paper presents a novel Gaussian variational estimation algorithm for the multidimensional generalized partial credit model. The proposed algorithm demonstrates both fast and accurate performance, as illustrated through a series of simulation studies and two real data analyses.

Keywords: marginal maximum likelihood estimation; variational method; multidimensional item response theory; expectation-maximization algorithm (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s11336-024-09955-8

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