| 基于Q矩阵和广义距离的认知诊断方法 |
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| 引用本文： | 孙佳楠,张淑梅,辛涛,包钰. 基于Q矩阵和广义距离的认知诊断方法[J]. 心理学报, 2011, 43(9): 1095-1102. DOI: |
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| 作者姓名： | 孙佳楠 张淑梅 辛涛 包钰 |
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| 作者单位： | (;1.北京师范大学数学科学学院, 数学与复杂系统教育部重点实验室, 北京 100875) ;(;2. 北京师范大学发展心理研究所, 北京 100875) (;3.北京师范大学心理学院, 北京 100875) ; |
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| 基金项目： | 国家自然科学基金(10871026,30670718); 教育部新世纪优秀人才支持计划(NCET-07-0097)资助 |
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| 摘 要： | 规则空间方法(RSM)和属性层级方法(AHM)是两种重要的认知诊断方法, 近年来受到了广泛关注。本文在属性层级方法和丁树良等人(2009, 2010)改进的Q矩阵理论的基础上, 通过定义观察反应模式与理想反应模式之间的广义距离, 给出了一种识别被试知识状态的认知诊断方法, 即广义距离判别法。通过DINA模型生成被试的作答反应矩阵进行模拟研究, 以模式判准率和属性判准率作为衡量被试知识状态分类准确率指标, 将广义距离判别法、RSM和AHM的分类A方法分别与DINA模型进行比较。结果表明, 本文提出的广义距离判别法具有更好的分类效果。
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| 关 键 词： | RSM AHM Q矩阵 知识状态 广义距离 |
| 收稿时间： | 2011-01-07 |
A Cognitive Diagnosis Method Based on Q-Matrix and Generalized Distance |
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| SUN Jia-Nan,ZHANG Shu-Mei,XIN Tao,BAO Yu. A Cognitive Diagnosis Method Based on Q-Matrix and Generalized Distance[J]. Acta Psychologica Sinica, 2011, 43(9): 1095-1102. DOI: |
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| Authors: | SUN Jia-Nan ZHANG Shu-Mei XIN Tao BAO Yu |
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| Affiliation: | (;1. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China) (;2. Institute of Developmental Psychology, Beijing Normal University, Beijing 100875, China) ; (;3. School of Psychology, Beijing Normal University, Beijing 100875, China) ; |
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| Abstract: | In recent years,cognitive diagnosis research has become a popular issue in psychological and educational measurement.Researchers are always challenging the problem how to develop a Cognitive Diagnosis Model(CDM) that has promising performance for respondent classification.Although many researchers gave some theoretical framework or structures to classify the existing CDMs,systematic comparisons of those CDMs from the aspect of classification accuracy has not been given,except for that between RSM and AHM(e.... |
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| Keywords: | RSM AHM Q-matrix knowledge states generalized distance |
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