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Mutual Information Item Selection Method in Cognitive Diagnostic Computerized Adaptive Testing With Short Test Length

Bibliographic Data

ID20284355
AuthorsChun Wang (0009-0002-7869-0892, University of Minnesota, Minneapolis, MN, USA, corresponding author)
Year2013
Volume73
Issue6
Pages1017-1035
Publication date2013-12-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueEducational and Psychological Measurement (JOURNAL)
Journal identifiersISSN: 0013-1644 • E-ISSN: 1552-3888
PublisherSAGE Publications (PUBLISHER • US)
DOI10.1177/0013164413498256
OpenAlexW1999669349
LanguageEN
Citations received5
References cited34

Cognitive diagnostic computerized adaptive testing (CD-CAT) purports to combine the strengths of both CAT and cognitive diagnosis. Cognitive diagnosis models aim at classifying examinees into the correct mastery profile group so as to pinpoint the strengths and weakness of each examinee whereas CAT algorithms choose items to determine those strengths and weakness as efficiently as possible. Most of the existing CD-CAT item selection algorithms are evaluated when test length is relatively long whereas several applications of CD-CAT, such as in interim assessment, require an item selection algorithm that is able to accurately recover examinees’ mastery profile with short test length. In this article, we introduce the mutual information item selection method in the context of CD-CAT and then provide a computationally easier formula to make the method more amenable in real time. Mutual information is then evaluated against common item selection methods, such as Kullback–Leibler information, posterior weighted Kullback–Leibler information, and Shannon entropy. Based on our simulations, mutual information consistently results in nearly the highest attribute and pattern recovery rate in more than half of the conditions. We conclude by discussing how the number of attributes, Q-matrix structure, correlations among the attributes, and item quality affect estimation accuracy

Cognition · Computerized adaptive testing · Context (archaeology) · Data mining · Entropy (arrow of time) · Item response theory · Machine learning · Mutual information · Psychometrics · Selection (genetic algorithm) · Statistics · Test (biology) · Artificial Intelligence · Cognitive Abilities and Testing · Computer Science · Mathematics · Psychology · Psychometric Methodologies and Testing

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  • Balancing exposure and efficiency

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  • Diagnostic Classification Model for Forced-Choice Items and Noncognitive Tests

    Open Access•Hung‐Yu Huang•Educational and Psychological…•2023

  • A Note on the Relationship of the Shannon Entropy Procedure and the Jensen–Shannon Divergence in Cognitive Diagnostic Computerized Adaptive Testing

    Open Access•Wenyi Wang, Lihong Song et al.•SAGE Open•2020

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    Open Access•Brian W Junker, Klaas Sijtsma•Applied Psychological Measurement•2001

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    Open Access•Kikumi K Tatsuoka•Journal of Educational Measurement•1983

  • Measurement of psychological disorders using cognitive diagnosis models.

    Jonathan Templin, Jonathan L Templin et al.•Psychological Methods•2006

  • Higher-Order Latent Trait Models for Cognitive Diagnosis

    Open Access•Jimmy de la Torre, Jeffrey A Douglas•Psychometrika•2004

  • A Mathematical Theory of Communication

    Claude E Shannon•Bell System Technical Journal•1948

  • Mutual Information Item Selection in Adaptive Classification Testing

    Open Access•Alexander Weissman•Educational and Psychological…•2007

Unique citing works5
Citations per year0,45
Citation span2015 - 2026 (12)
Citation velocitycurrent
Highly citedNo
Citation typesNeutral: 3

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