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A sequential exploratory diagnostic model using a Pólya‐gamma data augmentation strategy.
- Source :
-
British Journal of Mathematical & Statistical Psychology . Nov2023, Vol. 76 Issue 3, p513-538. 26p. - Publication Year :
- 2023
-
Abstract
- Cognitive diagnostic models provide a framework for classifying individuals into latent proficiency classes, also known as attribute profiles. Recent research has examined the implementation of a Pólya‐gamma data augmentation strategy binary response model using logistic item response functions within a Bayesian Gibbs sampling procedure. In this paper, we propose a sequential exploratory diagnostic model for ordinal response data using a logit‐link parameterization at the category level and extend the Pólya‐gamma data augmentation strategy to ordinal response processes. A Gibbs sampling procedure is presented for efficient Markov chain Monte Carlo (MCMC) estimation methods. We provide results from a Monte Carlo study for model performance and present an application of the model. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00071102
- Volume :
- 76
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- British Journal of Mathematical & Statistical Psychology
- Publication Type :
- Academic Journal
- Accession number :
- 172755832
- Full Text :
- https://doi.org/10.1111/bmsp.12307