Statistical analysis of Q-matrix based diagnostic classification models

Chen, Yunxiao ORCID: 0000-0002-7215-2324, Liu, Jingchen, Xu, Gongjun and Ying, Zhiliang (2015) Statistical analysis of Q-matrix based diagnostic classification models. Journal of the American Statistical Association, 110 (510). 850 - 866. ISSN 0162-1459

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Abstract

Diagnostic classification models (DMCs) have recently gained prominence in educational assessment, psychiatric evaluation, and many other disciplines. Central to the model specification is the so-called Q-matrix that provides a qualitative specification of the item-attribute relationship. In this article, we develop theories on the identifiability for the Q-matrix under the DINA and the DINO models. We further propose an estimation procedure for the Q-matrix through the regularized maximum likelihood. The applicability of this procedure is not limited to the DINA or the DINO model and it can be applied to essentially all Q-matrix based DMCs. Simulation studies show that the proposed method admits high probability recovering the true Q-matrix. Furthermore, two case studies are presented. The first case is a dataset on fraction subtraction (educational application) and the second case is a subsample of the National Epidemiological Survey on Alcohol and Related Conditions concerning the social anxiety disorder (psychiatric application).

Item Type:	Article
Official URL:	https://www.tandfonline.com/toc/uasa20/current
Additional Information:	© 2015 American Statistical Association
Divisions:	Statistics
Subjects:	H Social Sciences > HA Statistics
Date Deposited:	27 Jan 2020 12:00
Last Modified:	11 Nov 2025 03:30
URI:	http://eprints.lse.ac.uk/id/eprint/103183

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