一种改进的4参数等级反应模型和应用  

The Improved Four-Parameter GRM and Its Application

作　　者：曾光 张玉玲 谢晓尧[1] 黎瑞源[1] ZENG Guang;ZHANG Yuling;XIE Xiaoyao;LI Ruiyuan(Guizhou Key Laboratory of Information and Computing Science,Guizhou Normal University,Guiyang Guizhou 550001,China;Guiyang Institute of Educational Sciences,Guiyang Guizhou 550001,China)

机构地区：[1]贵州师范大学贵州省信息与计算科学重点实验室,贵州贵阳550001 [2]贵阳市教育科学研究所,贵州贵阳550001

出　　处：《江西师范大学学报（自然科学版）》2023年第2期124-132,共9页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：贵州省教育厅自然科学基金(黔科教2009(0034)号)资助项目。

摘　　要：针对在实际测验中各等级的猜测参数、失误参数可能存在不一致性问题,该文提出等级反应模型的改进模型.以2等级项目为例,通过模拟数据检验模型发现:使用4参数GRM模型估计参数的误差随着猜测参数和失误参数的各个不一致性而增大,而改进后的模型具备更好的稳定性.在实际的地理测验中,发现等级反应项目中的猜测度较低,但失误现象明显,并且参数之间的差异性较大,不可以忽略.Due to the complexity of multi-level response items in the actual test,there may be inconsistencies in the guess parameters and error parameters of each level.Therefore,an improved model of GRM is proposed,which has reasonable assumptions and maintains the characteristics of GRM,and has better universality and accuracy.Taking the second-class response item as an example,through the simulation data to test the model,it is found that the error of estimating parameters using the 4PL-GRM model increases with the inconsistency of guess parameters and error parameters,and the improved model has better stability.In the actual geography test,it can be found that the degree of guessing in the grade response items is low,but the error phenomenon is obvious,and the difference between the parameters is large,which can not be ignored.

关 键 词：项目反应理论 等级反应模型 4参数Logistic模型 

分 类 号：B841[哲学宗教—基础心理学]