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DINA Model and Parameter Estimation: A Didactic
Abstract
Cognitive and skills diagnosis models are psychometric models that have immense potential to provide rich information relevant for instruction and learning. However, wider applications of these models have been hampered by their novelty and the lack of commercially available software that can be used to analyze data from this psychometric framework. To address this issue, this article focuses on one tractable and interpretable skills diagnosis model—the DINA model—and presents it didactically. The article also discusses expectation-maximization and Markov chain Monte Carlo algorithms in estimating its model parameters. Finally, analyses of simulated and real data are presented.
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Citations
Cited by
The Generalized DINA Model Framework
de la Torre, J. (2011) · Psychometrika · doi:10.1007/s11336-011-9207-7 · Cited by 772
Self-citationRupp, A. A., & Templin, J. L. (2008) · Measurement: Interdisciplinary Research & Perspective · doi:10.1080/15366360802490866 · Cited by 291
AI-assisted knowledge assessment techniques for adaptive learning environments
Minn, S. (2022) · Computers and Education: Artificial Intelligence · doi:10.1016/j.caeai.2022.100050 · Cited by 166
BNMI-DINA: A Bayesian Cognitive Diagnosis Model for Enhanced Personalized Learning
Chen, Y., & Liang, S. (2023) · Big Data and Cognitive Computing · doi:10.3390/bdcc8010004 · Cited by 6
Survey of Computerized Adaptive Testing: A Machine Learning Perspective
Zhuang, Y., Liu, Q., Bi, H., Huang, Z., Huang, W., Li, J., Yu, J., Liu, Z., Hu, Z., Hong, Y., et al. (2026) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2026.3672850 · Cited by 9
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Metadata
- Authors
- de la Torre, J.
- Venue
- Journal of Educational and Behavioral Statistics
- Published
- 2009-03
- Volume
- 34
- Issue
- 1
- Pages
- 115-130
- ISSN
- 1076-9986 (ISSN-L)
- 1935-1054
- OpenAlex
- W2160920329
- Cited by
- 671
- References
- 0
- FWCI
- 10.25
- Type
- journal article
- Language
- en
- Open access
- closed
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