[1]汪文义,汪 腾,宋丽红,等.基于可达阵的补偿模型Q矩阵标定方法[J].江西师范大学学报(自然科学版),2018,(05):441-446.[doi:10.16357/j.cnki.issn1000-5862.2018.05.01]
　WANG Wenyi,WANG Teng,SONG Lihong,et al.The Method for Compensatory Model's Q-Matrix Specification Based on the Reachability Matrix[J].Journal of Jiangxi Normal University:Natural Science Edition,2018,(05):441-446.[doi:10.16357/j.cnki.issn1000-5862.2018.05.01]
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基于可达阵的补偿模型Q矩阵标定方法()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2018年05期
页码:
441-446
栏目:
心理与教育测量
出版日期:
2018-10-20

文章信息/Info

Title:
The Method for Compensatory Model's Q-Matrix Specification Based on the Reachability Matrix
文章编号:
1000-5862(2018)05-0441-06
作者:
汪文义1; 汪 腾1; 宋丽红2; 高 朋1
1.江西师范大学计算机信息工程学院,江西 南昌 330022; 2.江西师范大学初等教育学院,江西 南昌 330022
Author(s):
WANG Wenyi1; WANG Teng1; SONG Lihong2; GAO Peng1
1.College of Computer Information Engineering,Jiangxi Normal University,Nanchang Jiangxi 330022,China; 2.Elementary Educational College,Jiangxi Normal University,Nanchang Jiangxi 330022,China
关键词:
认知诊断评估;  可达阵;  补偿模型;  Q矩阵标定
Keywords:
cognitive diagnostic model;  the reachability matrix;  compensatory model;  Q-matrix specification
分类号:
B 841
DOI:
10.16357/j.cnki.issn1000-5862.2018.05.01
文献标志码:
A
摘要:
Q矩阵标定是认知诊断评估中研究的热点问题,Q矩阵的好坏决定了认知诊断评估的准确性.根据确定性输入噪声“与”门模型(DINA)中可达阵R与简化Q矩阵存在布尔“与”的关系,提出基于确定性输入噪声“或”门模型(DINO)的可达阵R与简化Q矩阵在列向量上存在布尔“或”的关系,并由此推导出基于可达阵的补偿模型Q矩阵标定方法.实验结果表明:当可达阵失误与猜测小于0.20且待标定项目参数小于0.25时,该方法所得Q矩阵元素返真率达到90%以上,且在可达阵失误与猜测参数均小于0.25时真实Q矩阵与估计Q矩阵之间的差异较小.
Abstract:
It is very important that the calibration method of Q-matrix in cognitive diagnosis,which directly determines the correctness of the classification of individual.The augment algorithm provides fact that any column of the reduced Q-matrix can be expressed by the columns of the reachability matrix under the logical OR operation.The purpose of this study is to propose a method for compensatory model's Q-matrix specification based on the reachability matrix.Simulation results show that the performance of the new method is promising in terms of correct classification rates of examinees' attributes.

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相似文献/References:

[1]宋丽红,汪文义,丁树良.测验Q矩阵的修正方法及其比较研究[J].江西师范大学学报(自然科学版),2015,(06):623.
　SONG Lihong,WANG Wenyi,DING Shuliang.The Q-Matrix Validation Methods and Comparison to Three Existing Methods[J].Journal of Jiangxi Normal University:Natural Science Edition,2015,(05):623.

备注/Memo

备注/Memo:
收稿日期:2018-05-13
基金项目:国家自然科学基金(31500909,31360237,31160203,30860084),全国教育科学规划教育部重点课题(DHA150285)和江西省自然科学基金(20161BAB212044)资助项目.
作者简介:汪文义(1983-),男,湖南衡山人,副教授,博士,主要从事教育测量与信息处理的研究.E-mail:wenyiwang@jxnu.edu.cn
更新日期/Last Update: 2018-10-20