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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
Daoxuan Fu; Chunying Qin; Zhaosheng Luo; Yujun Li; Xiaofeng Yu; Ziyu Ye – Journal of Educational and Behavioral Statistics, 2025
One of the central components of cognitive diagnostic assessment is the Q-matrix, which is an essential loading indicator matrix and is typically constructed by subject matter experts. Nonetheless, to a large extent, the construction of Q-matrix remains a subjective process and might lead to misspecifications. Many researchers have recognized the…
Descriptors: Q Methodology, Matrices, Diagnostic Tests, Cognitive Measurement
Culpepper, Steven Andrew – Journal of Educational and Behavioral Statistics, 2015
A Bayesian model formulation of the deterministic inputs, noisy "and" gate (DINA) model is presented. Gibbs sampling is employed to simulate from the joint posterior distribution of item guessing and slipping parameters, subject attribute parameters, and latent class probabilities. The procedure extends concepts in Béguin and Glas,…
Descriptors: Bayesian Statistics, Models, Sampling, Computation