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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

[img] Text (Statistical Analysis of Q-Matrix Based Diagnostic Classification Models) - Accepted Version
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Identification Number: 10.1080/01621459.2014.934827


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:
Additional Information: © 2015 American Statistical Association
Divisions: Statistics
Subjects: H Social Sciences > HA Statistics
Date Deposited: 27 Jan 2020 12:00
Last Modified: 20 Oct 2021 03:29

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