• Bernoulli
  • Volume 19, Number 5A (2013), 1790-1817.

Theory of self-learning $Q$-matrix

Jingchen Liu, Gongjun Xu, and Zhiliang Ying

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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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Bernoulli, Volume 19, Number 5A (2013), 1790-1817.

First available in Project Euclid: 5 November 2013

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classification model cognitive assessment consistency diagnostic $Q$-matrix self-learning


Liu, Jingchen; Xu, Gongjun; Ying, Zhiliang. Theory of self-learning $Q$-matrix. Bernoulli 19 (2013), no. 5A, 1790--1817. doi:10.3150/12-BEJ430.

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