[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):365-370.
　DING Shuliang,WANG Wenyi,LUO Fen,et al.The Polytomous Q-Matrix Theory[J].Journal of Jiangxi Normal University:Natural Science Edition,2015,(04):365-370.
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多值Q矩阵理论()
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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:
2015年04期
页码:
365-370
栏目:
出版日期:
2015-07-01

文章信息/Info

Title:
The Polytomous Q-Matrix Theory
作者:
丁树良；汪文义；罗芬；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；WANG Wenyi；LUO Fen；XIONG Jianhua
关键词:
多值Q矩阵; Q矩阵理论; 扩张算法; 认知诊断测验蓝图
Keywords:
polytomous Q-matrix; Q-matrix theory:expansion algorithm; test blueprint of diagnostic testing
分类号:
B841.7；TP301.6
文献标志码:
A
摘要:
罗列了特殊多值Q矩阵与0-1可达阵的相互转换算法，给出多值扩张算法和多值理想反应模式的计算方法。在多值扩张算法的基础上，证明了在一定条件下，多值拟可达阵作为测验Q矩阵的子矩阵，可以使得多值的知识状态和理想反应模式一一对应，从而可指导多级评分认知诊断测验蓝图编制。
Abstract:
An algorithm to make the translation from the polytomous quasi-reachability matrix( Rp )to a dichoto-mous reachability matrix( R2 )has been given. An expansion algorithm of Rp and a method to compute polytomous ideal response patterns( PIRP)are also provided under the polytomous Q-matrix. Given certain item scoring rules proposed by Sun Jia'nan,et al,the statement that the Rp matrix can be used as the submatrix of the polytomous Q-matrix to guarantee bijective mapping from the set of PIRP to the set of the polytomous knowledge states has been proved. This statement has not been proved in the study of Sun Jia'nan.

参考文献/References:

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相似文献/References:

[1]丁树良,王文义,罗芬.认知诊断中Q矩阵和Q矩阵理论[J].江西师范大学学报(自然科学版),2012,(05):441.
　DING Shu-liang,WANG Wen-yi,LUO Fen.Q Matrix and Q Matrix Theory in Cognitive Diagnosis[J].Journal of Jiangxi Normal University:Natural Science Edition,2012,(04):441.

备注/Memo

备注/Memo:
国家自然科学基金(30860084，31160203，31100756，31360237)；教育部人文社会科学研究青年基金(13YJC880060)；江西省教育厅科技计划(GJJ13207，GJJ13208，GJJ13209，GJJ13226，GJJ13227)
更新日期/Last Update: 1900-01-01