@article{bb57031dbe6a4b3da059f31d90a1a637,
title = "A sequential exploratory diagnostic model using a P{\'o}lya-gamma data augmentation strategy",
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 P{\'o}lya-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 P{\'o}lya-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.",
keywords = "Bayesian estimation, P{\'o}lya-gamma data augmentation, sequential response model",
author = "Auburn Jimenez and Balamuta, {James Joseph} and Culpepper, {Steven Andrew}",
note = "Funding Information: This research was partially supported by National Science Foundation Methodology, Measurement, and Statistics program grants 1758631 and 1951057. This work made use of the Illinois Campus Cluster, a computing resource that is operated by the Illinois Campus Cluster Program (ICCP) in conjunction with the National Center for Supercomputing Applications (NCSA) and that is supported by funds from the University of Illinois at Urbana‐Champaign. Funding Information: This research was partially supported by National Science Foundation Methodology, Measurement, and Statistics program grants 1758631 and 1951057. This work made use of the Illinois Campus Cluster, a computing resource that is operated by the Illinois Campus Cluster Program (ICCP) in conjunction with the National Center for Supercomputing Applications (NCSA) and that is supported by funds from the University of Illinois at Urbana-Champaign. Publisher Copyright: {\textcopyright} 2023 British Psychological Society.",
year = "2023",
month = nov,
doi = "10.1111/bmsp.12307",
language = "English (US)",
volume = "76",
pages = "513--538",
journal = "British Journal of Mathematical and Statistical Psychology",
issn = "0007-1102",
publisher = "Wiley-Blackwell",
number = "3",
}