Theory of self-learning $Q$-matrix
Statistics Theory
2015-03-17 v3 Statistics Theory
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.
Keywords
Cite
@article{arxiv.1010.6120,
title = {Theory of self-learning $Q$-matrix},
author = {Jingchen Liu and Gongjun Xu and Zhiliang Ying},
journal= {arXiv preprint arXiv:1010.6120},
year = {2015}
}
Comments
Published in at http://dx.doi.org/10.3150/12-BEJ430 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)