[1]丁树良,罗 芬,汪文义,等.Q矩阵标定的一种简便方法[J].江西师范大学学报(自然科学版),2018,(02):130-133.[doi:10.16357/j.cnki.issn1000-5862.2018.02.02]
　DING Shuliang,LUO Fen,WANG Wenyi,et al.A Simple Method to Specify Q Matrix[J].Journal of Jiangxi Normal University:Natural Science Edition,2018,(02):130-133.[doi:10.16357/j.cnki.issn1000-5862.2018.02.02]
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Q矩阵标定的一种简便方法()
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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02期
页码:
130-133
栏目:
心理与教育测量
出版日期:
2018-04-20

文章信息/Info

Title:
A Simple Method to Specify Q Matrix
文章编号:
1000-5862(2018)02-0130-04
作者:
丁树良; 罗 芬; 汪文义; 熊建华
江西师范大学计算机信息工程学院,江西 南昌 330022
Author(s):
DING Shuliang; LUO Fen; WANG Wenyi; XIONG Jianhua
College of Computer Information Engineering,Jiangxi Normal University,Nanchang Jiangxi 330022,China
关键词:
认知诊断;  Q矩阵标定;  累赘表达式;  Q矩阵理论
Keywords:
cognitive diagnosis;  specification of Q matrix;  redundant expression;  Q matrix theory
分类号:
B 841.7
DOI:
10.16357/j.cnki.issn1000-5862.2018.02.02
文献标志码:
A
摘要:
基于认知诊断的Q矩阵理论,由潜在Q矩阵向量的累赘表达式的分解,给出一种简便的Q矩阵标定方法,并且给出这种方法的证明.
Abstract:
Based on the Q matrix theory,using the decomposing of the redundant expression of a column of the potential Q matrix,it can offered a simple method to calibrate attribute vector,and the method is proved mathematically.

参考文献/References:

[1] Leighton J P,Gierl M J,Hunka S M.The attribute hierarchy method for cognitive assessment: a variation on Tatsuoka's rule-space approach[J].Journal of Educational Measurement,2004,41(3):205-237.
[2] Ding Shuliang,Luo Fen,Cai Yan,et al.Complement to Tatsuoka's Q matrix theory[C]∥Shigemasu K,Okada A,Imaizumi T,et al.New Trends in Psychometrics.Tokyo:Universal Academy Press,2008:417-423.
[3] 杨淑群,蔡声镇,丁树良,等.求解简化Q矩阵的扩张算法[J].兰州大学学报:自然科学版,2008,44(3):87-91,96.
[4] Tatsuoka K K.Architecture of knowledge structure and cognitive diagnosis:a statistical pattern recognition and classification approach[C]∥Nichols P D,Chipman S F,Brennan R L.Cognitively diagnostic assessment.Hillsdale,NJ:Erlbaum,1995:327-361.
[5] Tatsuoka K K.Cognitive assessment:an introduction to the rule space method[M].New York:Taylor & Francis Group,2009.
[6] Tatsuoka K K.Toward an integration of item-response theory and cognitive error diagnosis[C]∥Frederiksen N,Glaser R,Lesgold A,et al.Diagnostic monitoring of skill and knowledge acquisition.Hillsdale,NJ:Erlbaum,1990:453-488.
[7] de la Torre J.An empirically based method of Q-matrix validation for the DINA model: development and applications[J].Journal of Educational Measurement,2008,45(4):343-362.
[8] De Carlo L T.Recognizing uncertainty in the Q-matrix via a Bayesian extension of the DINA model[J].Applied Psychological Measurement,2012,36(6):447-468.
[9] 涂冬波,蔡艳,戴海琦.基于 DINA 模型的Q矩阵修正方法[J].心理学报,2012,44(4):558-568.
[10] 汪文义,丁树良,游晓锋.计算机化自适应诊断测验中原始题的属性标定[J].心理学报,2011,43(8):964-976.
[11] 喻晓锋,罗照盛,秦春影,等.基于作答数据的模型参数和Q矩阵联合估计[J].心理学报,2015,47(3):273-282.
[12] Liu Jingchen,Xu Gongjun,Ying Zhiliang.Data-driven learning of Q-matrix[J].Applied Psychological Measurement,2012,36(7):548-564.
[13] 陈平,辛涛.认知诊断计算机化自适应测验中在线标定方法的开发[J].心理学报,2011,43(6):710-724.
[14] 丁树良,罗芬,汪文义,等.知识状态的不同表达及其应用[J].江西师范大学学报:自然科学版,2017,41(3):296-301.
[15] Chen Jinsong,de la Torre J.A general cognitive diagnosis model for expert-defined polytomous attributes[J].Applied Psychological Measurement,2013,37(6):419-437.
[16] Sun Jianan,Xin Tao,Zhang Shumei,et al.A polytomous extension of the generalized distance discriminating method[J].Applied Psychological Measurement,2013,37(7):503-521.
[17] 丁树良,汪文义,罗芬,等.可达阵功能的不可替代性[J].江西师范大学学报:自然科学版,2016,40(3):290-294,298.
[18] 丁树良,毛萌萌,汪文义,等.教育认知诊断测验与认知模型一致性的评估[J].心理学报,2012,44(11):1535-1546.

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备注/Memo

备注/Memo:
收稿日期:2017-08-06
基金项目:国家自然科学基金(31500909,31360237,31300876),教育部人文社会科学研究青年基金(BYJC880060)和江西省教育科学2013年一般课题(BYB032)资助项目.
作者简介:丁树良(1949-),男,江西樟树人,教授,主要从事计算机辅助教学及教育和心理测量方面的研究.E-mail:ding06026@163.com
更新日期/Last Update: 2018-04-20