| 多值Q矩阵理论 |
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| 引用本文： | 丁树良,汪文义,罗芬,熊建华.多值Q矩阵理论[J].江西师范大学学报(自然科学版),2015,0(4):365-370. |
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| 作者姓名： | 丁树良 汪文义 罗芬 熊建华 |
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| 作者单位： | 江西师范大学计算机信息工程学院,江西 南昌,330022 |
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| 基金项目： | 国家自然科学基金，教育部人文社会科学研究青年基金，江西省教育厅科技计划 |
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| 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。
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| 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 |
The Polytomous Q-Matrix Theory |
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| DING Shuliang,WANG Wenyi,LUO Fen,XIONG Jianhua.The Polytomous Q-Matrix Theory[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2015,0(4):365-370. |
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| Authors: | DING Shuliang WANG Wenyi LUO Fen XIONG Jianhua |
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| 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. |
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| Keywords: | polytomous Q-matrix Q-matrix theory:expansion algorithm test blueprint of diagnostic testing |
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