Theory of self-learning Q-matrix

Jingchen Liu, Gongjun Xu, Zhiliang Ying

Research output: Contribution to journalArticlepeer-review

46 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)1790-1817
Number of pages28
Issue number5 A
StatePublished - 2013


  • Classification model
  • Cognitive assessment
  • Consistency
  • Diagnostic
  • Q-matrix
  • Self-learning


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