[1]汪文义,高 朋,宋丽红,等.带噪音预处理的改进探索性Q矩阵标定方法[J].江西师范大学学报(自然科学版),2020,(02):136-141.[doi:10.16357/j.cnki.issn1000-5862.2020.02.04]
　WANG Wenyi,GAO Peng,SONG Lihong,et al.The Improved Exploratory Method of Q-Matrix Specification with Noise Preprocessing[J].Journal of Jiangxi Normal University:Natural Science Edition,2020,(02):136-141.[doi:10.16357/j.cnki.issn1000-5862.2020.02.04]
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带噪音预处理的改进探索性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:
2020年02期
页码:
136-141
栏目:
心理与教育测量
出版日期:
2020-04-10

文章信息/Info

Title:
The Improved Exploratory Method of Q-Matrix Specification with Noise Preprocessing
文章编号:
1000-5862(2020)02-0136-06
作者:
汪文义1; 高 朋1; 宋丽红2; 汪 腾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; GAO Peng1; SONG Lihong2;  WANG Teng1
1.College of Computer and Information Engineering,Jiangxi Normal University,Nanchang Jiangxi 330022,China; 2.Elementary Education Collage,Jiangxi Normal University,Nanchang Jiangxi 330022,China
关键词:
认知诊断;  Q矩阵;  探索性因素分析方法;  四分相关系数;  数据预处理
Keywords:
cognitive diagnosis;  Q-matrix;  exploratory factor analysis method;  tetrachoric correlation correlation;  data preprocessing
分类号:
B 841
DOI:
10.16357/j.cnki.issn1000-5862.2020.02.04
文献标志码:
A
摘要:
考虑到在实际应用中学生在做题时的猜测和失误(统称为噪音)会影响探索性因素分析法所使用的四分相关矩阵的质量,该文提出四分相关矩阵的一种噪音修正方法,并将其应用于Q矩阵标定.模拟研究结果表明:猜测和失误这2种噪音会对Q矩阵的标定产生不利的影响; 基于修正后的四分相关矩阵的探索性因素分析法,在样本量较大和噪音较大等情况下,均能有效地提高Q矩阵标定的准确率.
Abstract:
Considering that the noises of guessing and slip that students answer problems can influence the quality of the tetrachoric correlation coefficient matrix for the exploratory factor analysis method in practical application,a noise preprocessing method of the tetrachoric correlation coefficient matrix is proposed and is used for Q-matrix specification.Simulation studies show that the noises of guessing and slip have an adverse impact on the calibration of the Q-matrix.The exploratory factor analysis method based on the modified tetrachoric correlation coefficient matrix can effectively improve the accuracy of Q-matrix specification when the sample size is relatively large and the noise is relatively high.

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备注/Memo

备注/Memo:
收稿日期:2019-04-25
基金项目:国家自然科学基金(61967009,31500909,31360237,31160203,30860084),全国教育科学规划教育部重点课题(DHA150285),江西省社会科学规划(17JY10)和江西师范大学教学改革研究(JXSDJG1848)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: 2020-04-10