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Joemari Olea; Kevin Carl Santos – Journal of Educational and Behavioral Statistics, 2024
Although the generalized deterministic inputs, noisy "and" gate model (G-DINA; de la Torre, 2011) is a general cognitive diagnosis model (CDM), it does not account for the heterogeneity that is rooted from the existing latent groups in the population of examinees. To address this, this study proposes the mixture G-DINA model, a CDM that…
Descriptors: Cognitive Measurement, Models, Algorithms, Simulation
Yamaguchi, Kazuhiro; Okada, Kensuke – Journal of Educational and Behavioral Statistics, 2020
In this article, we propose a variational Bayes (VB) inference method for the deterministic input noisy AND gate model of cognitive diagnostic assessment. The proposed method, which applies the iterative algorithm for optimization, is derived based on the optimal variational posteriors of the model parameters. The proposed VB inference enables…
Descriptors: Bayesian Statistics, Statistical Inference, Cognitive Measurement, Mathematics
Zhan, Peida; Jiao, Hong; Man, Kaiwen; Wang, Lijun – Journal of Educational and Behavioral Statistics, 2019
In this article, we systematically introduce the just another Gibbs sampler (JAGS) software program to fit common Bayesian cognitive diagnosis models (CDMs) including the deterministic inputs, noisy "and" gate model; the deterministic inputs, noisy "or" gate model; the linear logistic model; the reduced reparameterized unified…
Descriptors: Bayesian Statistics, Computer Software, Models, Test Items