[1]丁树良,汪文义,罗芬.多级评分认知诊断测验蓝图的设计——根树型结构[J].江西师范大学学报(自然科学版),2014,(02):111-118.
 DING Shu-liang,WANG Wen-yi,LUO Fen.Design of Polytomous Cognitively Diagnostic Test Blueprint——For the Rooted Tree Type[J].,2014,(02):111-118.
点击复制

多级评分认知诊断测验蓝图的设计——根树型结构()
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:
2014年02期
页码:
111-118
栏目:
出版日期:
2014-04-30

文章信息/Info

Title:
Design of Polytomous Cognitively Diagnostic Test Blueprint——For the Rooted Tree Type
作者:
丁树良;汪文义;罗芬
江西师范大学计算机信息工程学院,江西南昌,330022
Author(s):
DING Shu-liang;WANG Wen-yi;LUO Fen
关键词:
多级评分认知诊断测验蓝图设计根树型完备Q阵
Keywords:
polytomous scoringcognitive diagnosisdesign of test blueprintrooted tree typeperfect Q matrix
分类号:
B841.7;TP301.6
文献标志码:
A
摘要:
在某种给定的评分方式下,假设属性之间没有补偿作用,讨论多级评分认知诊断测验蓝图设计问题.根据图论,将J.P.Leighton等定义的线型、发散型、无结构型属性层级结构归结为根树型,构造出相应的完备测验Q阵,即是使知识状态与期望反应模式一一对应,且列数最少的测验Q阵.完备Q矩阵均受到测验Q阵的秩的制约.
Abstract:
Giving a polytomous scoring rule,suppose that there is no compensation among the attributes,for the rooted tree type(RTT)which concludes the linear type,the divergent type and the unstructured type named by Leighton and her colleagues,the design of polytomous cognitively diagnostic test blueprint is discussed in this paper.The concepts of basic perfect Q matrix and perfect Q matrix are given.A perfect Q matrix is the Q matrix which contains the fewest columns and is the bijective mapping between the set of knowledge states and the set of the expected response patterns.The perfect Q matrix corresponding to the RTT and for polytomous scoring is proposed and proved.The number of the items in the perfect Q matrices is equal to the number of the leaves in the rooted tree and is restricted by the rank of the Q matrix.It is obvious that there is a difference between the related results for dichotomous and polytomous,respectively.

参考文献/References:

[1] Tao Jian,Shi Ningzhong,Chang Huahua.Item-weighted likelihood method for ability estimation in tests composed of both dichotomous and polytomous items [J].Journal of Educational and Behavioral Statistics,2012,37(2):298-315.
[2] 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.
[3] 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.
[4] 丁树良,罗芬,汪文义.认知诊断分类中心的确定 [J].心理学探新,2013,33(5):396-401.
[5] 孙佳楠,张淑梅,辛涛,等.基于Q矩阵和广义距离的认知诊断方法 [J].心理学报,2011,43(9):1095-1102.
[6] Sun Jianan,Xin Tao,Zhang Shumei,et al.A polytomousextension of the generalized distance discriminating method [J].Applied Psychological Measurement,2013(7):503-521.
[7] 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.
[8] 丁树良,罗芬,汪文义.Q矩阵理论的扩展 [J].心理学探新,2012,32(5):410-422.
[9] 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.
[10] Tatsuoka K K.Architecture of knowledge structures and cognitive diagnosis:a statistical pattern classiflcation approach,in cognitively diagnostic assessments [D].Erlbaum:Hillsdale,1995:327-359.
[11] Tatsuoka K K.Cognitive assessment:an introduction to the rule space method [M].New York:Taylor & Francis Group,2009.
[12] 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.
[13] 丁树良,汪文义,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,2012,36(5):441-445.
[14] 田伟,辛涛.基于等级反应模型的规则空间方法 [J].心理学报,2012,44(2):249-262.
[15] 祝玉芳,丁树良.基于等级反应模型的属性层级方法 [J].心理学,2009,41(3):267-275.
[16] 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,2004,41:205-237.
[16] 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.

相似文献/References:

[1]李娟,丁树良,罗芬.基于等级反应模型的广义距离判别法[J].江西师范大学学报(自然科学版),2012,(06):636.
 HU Hai,GAN Deng-wen,WANG Wen-yi,et al.The Generalized Distance Discrimination Based on Graded Response Model[J].,2012,(02):636.
[2]丁树良,罗芬.由偏序关系的可达阵导出Hasse图的有效算法——兼谈其在认知诊断中的作用[J].江西师范大学学报(自然科学版),2013,(05):441.
 DING Shu-liang,LUO Fen.An Efficient Algorithm of Deriving Hasse Diagram from the Reachibility Matrix of a Partial Order Relation——Together with Its Application to Cognitive Diagnosis[J].,2013,(02):441.
[3]艾国金,甘登文,丁树良,等.不定长认知诊断计算机化自适应测验终止规则研究[J].江西师范大学学报(自然科学版),2014,(05):441.
 AI Guo-jin,GAN Deng-wen,DING Shu-liang,et al.Research on Variable-Length Termination Rules for Computerized Adaptive Testing with Cognitive Diagnosis[J].,2014,(02):441.
[4]艾国金,甘登文,丁树良.计算机化自适应诊断测验双重约束变长终止规则[J].江西师范大学学报(自然科学版),2015,(05):449.
 AI Guojin,GAN Dengwen,DING Shuliang.The Dual Restrictions Variable-Length Termination Rule in Cognitive Diagnosis Computerized Adaptive Testing[J].,2015,(02):449.
[5]詹沛达,丁树良,王立君.多分属性层级结构下引入逻辑约束的理想掌握模式[J].江西师范大学学报(自然科学版),2017,(03):289.
 ZHAN Peida,DING Shuliang,WANG Lijun.The Ideal Mastery Pattern for Polytomous Attributes with Hierarchical Structure Incorporating Mastery Level Restriction[J].,2017,(02):289.
[6]丁树良,罗芬,汪文义.多级评分认知诊断测验蓝图的设计——独立型和收敛型结构[J].江西师范大学学报(自然科学版),2014,(03):265.
 DING Shu-liang,LUO Fen,WANG Wen-yi.Design of Polytomous Cognitively Diagnostic Test Blueprint---For the Independent and the Rhombus Attribute Hierarchies[J].,2014,(02):265.
[7]祝玉芳,王黎华,丁树良,等.多策略的多级评分认知诊断方法的开发[J].江西师范大学学报(自然科学版),2015,(04):371.
 ZHU Yufang,WANG Lihua,DING Shuliang,et al.The Development of Multiple-Strategies Cognitive Diagnosis with Polytomous Response[J].,2015,(02):371.
[8]祝玉芳.GDD-P在进位计数制中的应用[J].江西师范大学学报(自然科学版),2015,(05):453.
 ZHU Yufang.An Application of the GDD-P in Carrying Notation[J].,2015,(02):453.

备注/Memo

备注/Memo:
国家自然科学基金(30860084,31160203,31100756,31360237,31300876);国家社会科学基金(12BYY055,13BYY087);江西省教育厅科技计划(GJJ3207,GJJ13226,GJJ13227,GJJ13208,GJJ13209)
更新日期/Last Update: 1900-01-01