基于属性多级化的认知诊断计算机化自适应测验设计与实现  

The Development of CD-CAT with Polytomous Attributes

作　　者：涂冬波[1] 蔡艳[1] 

机构地区：[1]江西师范大学心理学院,江西省心理与认知科学重点实验室,南昌330022

出　　处：《心理学报》2015年第11期1405-1414,共10页Acta Psychologica Sinica

基　　金：国家自然科学基金(31100756,31300876,31160203,31360237);江西省社会科学规划项目重点项目(13JY01);江西省教育科学规划项目(12YB088,13YB029);高等院校博士点基金项目(20123604120001);江西师范大学青年英才培育资助计划;东北师范大学应用统计教育部重点实验室开放课题(130026509)资助

摘　　要：本研究在传统CD-CAT的基础上进行拓展,开发设计了可以处理属性多级化的CD-CAT(记为p CD-CAT),而且当测验所有属性的水平数Lk=2时则p CD-CAT可简化为CD-CAT,因此传统CD-CAT是本研究设计开发p CD-CAT的一个特例。Monte Carlo模拟实验结果表明:基于属性多级化框架下设计的p CD-CAT具有较好的诊断正确率、题库安全性和较高的测验效率,弥补了传统CD-CAT不足;当属性多级化时,若采用传统CD-CAT方法,则诊断正确率很不理想(属性模式判准不到30%),表明传统CD-CAT在属性多级化测验情景时不适宜,而本文设计的p CD-CAT是一种不错的选择(属性模式判准高达80%以上)。总之,本研究对于进一步拓展CD-CAT在实践中的应用提供了新方法和新技术支持。Cognitive diagnostic computerized adaptive testing （CD-CAT） purports to combine the strengths of both CAT and cognitive diagnosis. The attributes in CD-CAT have been supposed to be dichotomous, ＂0＂ represents non-master for examinee and non-measurement for item while ＂1＂ represents master for examinee and measurement for item. But recently, polytomous attribute framework has been proposed by some studies （Karelitz, 2004; de la Torre, et al., 2010; Chen, et al., 2013）. Based on the conventional computerized adaptive testing for cognitive diagnosis with dichotomous attributes, this study developed a new CD-CAT with polytomous attributes, called pCD-CAT, which is adaptive to polytomous or ordered category attributes framework. During the procedure, two key parts were involved in the pCD-CAT. One was parameters estimation. Here the cognitive diagnosis model with polytomous attributes was employed to estimate the individual＇s polytomous knowledge states with maximum likelihood estimator （MLE） algorithm. Another was the item selection strategy. In this paper, the PAKL and PAPWKL methods based on polytomous attributes were developed and implied to select items adaptively from item pool. Three Monte Carlo simulation studies with different experimental conditions were conducted here, which mainly focused on the performance of the proposed pCD-CAT by this paper. These experimental conditions were the fixed test length CAT （15, 20 and 25 items respectively）, the variable test length CAT （the post probability of knowledge state is 0.75,0.80 and 0.85 respectively） and the compare between pCD-CAT and the conventional dichotomous CD-CAT, respectively. There studies showed： The classification accuracy, test security and test efficiency under pCD-CAT were all acceptable and reasonable. The PA-KL item selection strategy had low classification, test security and test efficiency, which indicated that PA-KL was unfit to the pCD-CAT. However PA-PWKL and PA-HKL item selection strategies had high clas

关 键 词：pCD-CAT 属性多级化 认知诊断计算化自应用测验 PA-RUM 

分 类 号：B841[哲学宗教—基础心理学]