Latent structureCognitive Diagnosis
DINA Model
The DINA Model (Deterministic Inputs, Noisy Outputs) is a cognitive diagnostic model developed by Junker and Sijtsma (2001) that classifies examinees into latent skill classes based on their item response patterns. DINA assumes a deterministic relationship between skill mastery and correct responses, with probabilistic error accounting for guessing and slips.
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Sources
- Junker, B. W., & Sijtsma, K. (2001). Cognitive assessment models with few assumptions, and connections with nonparametric item response theory. Applied Psychological Measurement, 25(3), 258-272. DOI: 10.1177/01466216010253005 ↗
- Haertel, E. H. (1989). Using restricted latent class models to map the skill structure of achievement items. Journal of Educational Measurement, 26(4), 301-321. DOI: 10.1111/j.1745-3984.1989.tb00336.x ↗
- de la Torre, J. (2009). DINA model and parameter estimation: A didactic perspective. Journal of Educational and Behavioral Statistics, 34(1), 115-130. DOI: 10.3102/1076998607039337 ↗