Theory of the Self-learning Q -Matrix

Cognitive assessment is a growing area in psychological and educational measurement, where tests are given to assess mastery/deficiency of attributes or skills. A key issue is the correct identification of attributes associated with items in a test. In this paper, we set up a mathematical framework...

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Bibliographic Details
Published inBernoulli : official journal of the Bernoulli Society for Mathematical Statistics and Probability Vol. 19; no. 5A; p. 1790
Main Authors Liu, Jingchen, Xu, Gongjun, Ying, Zhiliang
Format Journal Article
LanguageEnglish
Published England 01.11.2013
Subjects
Q-matrix
Classification model
cognitive assessment
self-learning
diagnostic
consistency
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Summary:Cognitive assessment is a growing area in psychological and educational measurement, where tests are given to assess mastery/deficiency of attributes or skills. A key issue is the correct identification of attributes associated with items in a test. In this paper, we set up a mathematical framework under which theoretical properties may be discussed. We establish sufficient conditions to ensure that the attributes required by each item are learnable from the data.
ISSN:1350-7265
DOI:10.3150/12-BEJ430