[1]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,(03):296-301.
 DING Shuliang,LUO Fen,WANG Wenyi,et al.The Different Expressions of a Knowledge State and Their Applications[J].,2017,(03):296-301.
点击复制

知识状态的不同表达及其应用()
分享到:

《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2017年03期
页码:
296-301
栏目:
出版日期:
2017-05-01

文章信息/Info

Title:
The Different Expressions of a Knowledge State and Their Applications
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 ShuliangLUO FenWANG WenyiXIONG Jianhua
College of Computer Information Engineering,Jiangxi Normal University,Nanchang Jiangxi 330022,China
关键词:
扩张算法 累赘表达式 R-等价类 多值Q矩阵
Keywords:
the augment algorithm redundant expression R-equivalent class polytomous Q matrix
分类号:
B 841.7
文献标志码:
A
摘要:
知识状态可用可达阵R的列的布尔并表示,但表示方式不唯一,由此引出累赘表达式和简洁表达式的概念及其作用,并将某些结果推广到多值Q矩阵.
Abstract:
For boolean matrices,any knowledge state is a column of a student Q matrix and it can be expressed as a boolean union of the columns of the reachability matrix R based on the augment algorithm.So there may be several expression forms,a redundant expression and a concise expression are defined,and their applications are given.Some analogues for polytomous Q matrix are given.

参考文献/References:

[1] 左孝凌,李为鑑,刘永才.离散数学 [M].上海:上海科学技术文献出版社,1982.
[2] Tatsuoka K K.Cognitive assessment:an introduction to the rule space method [M].New York:Taylor & Francis Group,2009.
[3] 杨淑群,丁树良.有效对象的判定理论与方法 [J].江西师范大学学报:自然科学版,2011,35(1):1-4.
[4] 丁树良,罗芬.求偏序关系Hasse图的算法 [J].江西师范大学学报:自然科学版,2005,29(2):150-152.
[5] Ding Shuliang,Luo Fen,Cai Yan,et al.Complement to Tatsuoka’s Q matrix theory [A].Shigemasu K,Okada A,Imaizumi T,et al.New trends in psychometrics [C].Tokyo:Universal Academy Press:2008:417-423.
[6] 丁树良,祝玉芳,林海菁,等.Tatsuoka Q矩阵理论的修正 [J].心理学报,2009,41(2):175-181.
[7] 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.
[8] Yang Shuqun,Ding Shuliang,Ding Qiulin.The incremental augment algorithm of Qr matrix [J].Transactions of Nanjing University of Aeronautics & Astronautics,2010,27(2):183-189.
[9] 丁树良,杨淑群,汪文义.可达矩阵在认知诊断测验编制中的重要作用 [J].江西师范大学学报:自然科学版,2010,34(5):490-495.
[10] 丁树良,汪文义,杨淑群.认知诊断测验蓝图的设计 [J].心理科学,2011.34(2):258-265.
[11] 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.
[12] Tatsuoka K K.Architecture of knowledge structure and cognitive diagnosis:a statistical pattern recognition and classification approach [A].Nichols P D,Chipman S F,Brennan R L.Cognitively diagnostic assessment [C].Hillsdale,NJ:Erlbaum,1995:327-361.
[13] 丁树良,罗芬,汪文义,等.0-1和多值可达矩阵的性质及应用 [J].江西师范大学学报:自然科学版,2015,39(1):64-68.
[14] 丁树良,汪文义,罗芬,等.多值Q矩阵理论 [J].江西师范大学学报:自然科学版,2015,39(4):365-370.
[15] Sun Jianan,Xin Tao,Zhang Shumei,et al.A polytomousextension of the generalized distance discriminating method [J].Applied Psychological Measurement,2013,37(7),503-521.
[16] Luo Fen,Ding Shuliang,Wang Xiaoqing,et al.Application study on online multistage intelligent adaptive testing for cognitive diagnosis [A].Abdries van der Ark L,Daniel M Bolt,Wang Wenchung,et al.Quantitative Psychology Research [C].Switzerland:Springer Proceedings in Mathematics & Statistics,2016:265-275.

相似文献/References:

[1]丁树良,汪文义,罗芬,等.多值Q矩阵理论[J].江西师范大学学报(自然科学版),2015,(04):365.
 DING Shuliang,WANG Wenyi,LUO Fen,et al.The Polytomous Q-Matrix Theory[J].,2015,(03):365.

备注/Memo

备注/Memo:
收稿日期:2017-02-12基金项目:国家自然科学基金(31360237,31500909,31300876,31160203,31100756,30860084,11401271)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: 1900-01-01