Bayesian inference for dynamic <i>Q</i> matrices and attribute trajectories in hidden Markov diagnostic classification models
Hidden Markov diagnostic classification models capture how students' cognitive attributes evolve over time. This paper introduces a Bayesian Markov chain Monte Carlo algorithm for diagnostic classification models that jointly estimates time-varying Q matrices, latent attributes, item parameters, attribute class proportions and transition matrices across multiple occasions. Using the R package hmdcm developed for this study, Monte Carlo simulations demonstrate accurate parameter recovery, and an empirical probability-concept assessment confirmed the algorithm's ability to trace attribute trajectories, supporting its value for longitudinal diagnostic classification in both research and instructional practice.
Authors
- Chen‐Wei Liu (ORCID: https://orcid.org/0000-0003-2826-465X)
Institutions
- National Taiwan Normal University (TW)
Publication Details
- Journal
- British Journal of Mathematical and Statistical Psychology
- Published
- 2026-01-20
- DOI
- https://doi.org/10.1111/bmsp.70028
- Primary Topic
- Psychometric Methodologies and Testing
- Type
- article
- Field-Weighted Citation Impact
- 0.00