相依项目反应数据的Copula建模法  

A Copula model for residual dependency in item response model

作　　者：付志慧[1,2] 刘罗曼[1] 孟祥斌[3] 

机构地区：[1]沈阳师范大学数学与系统科学学院,辽宁沈阳110034 [2]东北师范大学数学与统计学院,吉林长春130024 [3]东北师范大学教育学部,吉林长春130024

出　　处：《东北师大学报（自然科学版）》2017年第2期41-46,共6页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11201313;11571069;11501094;31400897)

摘　　要：与经典教育测量方法相比,基于项目反应理论(IRT)的教育统计与心理测量技术呈现出愈来愈多的优势.将Copula方法引入到IRT中来分析相依反应数据,对题目的边际反应概率和题目反应间的相依结构分别建模,更好地解决了项目局部相依性问题.In educational and psychological measurement, most item response theory models are not robust to violations of local independence. A new class of models that makes use of Copulas to deal with local item dependencies is introduced. These models belong to the bigger class of marginal models in which marginal and association structure are modeled separately. It is shown how this approach overcomes some of the problems associated with other local item dependency models.

关 键 词：项目反应模型 局部相依性 COPULA函数 

分 类 号：O212.1[理学—概率论与数理统计]