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arXiv · 1010.6120

Theory of self-learning $Q$-matrix

Jingchen Liu·Gongjun Xu·Zhiliang Ying
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Abstract

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.

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Jingchen Liu, Gongjun Xu, Zhiliang Ying. 2013-12-10. Theory of self-learning $Q$-matrix. https://doi.org/10.3150/12-bej430

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