#3211. A Gibbs sampler for the multidimensional four-parameter logistic item response model via a data augmentation scheme

September 2026publication date
Proposal available till 12-05-2025
4 total number of authors per manuscript0 $

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Journal’s subject area:
Statistics and Probability;
Arts and Humanities (miscellaneous);
Psychology (all);
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Abstract:
The four-parameter logistic (4PL) item response model, which includes an upper asymptote for the correct response probability, has drawn increasing interest. The research proposes a new Gibbs sampling algorithm for estimation of the multidimensional 4PL model based on an efficient data augmentation scheme. Simulation studies are conducted to evaluate the proposed method and several popular alternatives. An empirical data set was analysed using the 4PL model to show its improved performance over the three-parameter and two-parameter logistic models.
Keywords:
Bayes estimation; data augmentation; deviance information criterion; Gibbs sampling; multidimensional four-parameter logistic item response theory model

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