Theory of the Self-learning Q-Matrix.

Theory of the Self-learning Q-Matrix.
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DOI:
10.3150/12-bej430
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发表时间:
2013-11-01
期刊:
Bernoulli : official journal of the Bernoulli Society for Mathematical Statistics and Probability
影响因子:
--
通讯作者:
Ying Z
Ying Z
中科院分区:
其他
文献类型:
--
作者:
Liu J;Xu G;Ying Z

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认知评估是心理和教育测量中一个不断发展的领域,其中测试用于评估属性或技能的掌握/不足。一个关键问题是正确识别与测试中的项目相关的属性。在本文中,我们建立了一个数学框架下,理论性质可以讨论。我们建立了充分的条件,以确保每个项目所需的属性是从数据中学习。
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.