CD-CAT中基于SCAD惩罚和EM视角的在线标定方法开发——G-DINA模型  

Development of Online Calibration Method based on SCAD penalty and EM perspective in CD-CAT:G-DINA model

作　　者：谭青蓉 蔡艳[1] 汪大勋 罗芬[3] 涂冬波[1] TAN Qingrong;CAI Yan;WANG Daxun;LUO Fen;TU Dongbo(School of Psychology,Jiangxi Normal University,Nanchang 330022,China;Department of Basic Psychology,College of Psychology,Army Medical University,Chongqing 400000,China;College of Computer Information Engineering,Jiangxi Normal University,Nanchang 330022,China)

机构地区：[1]江西师范大学心理学院,南昌330022 [2]陆军军医大学医学心理系基础心理学教研室,重庆400000 [3]江西师范大学计算机信息工程学院,南昌330022

出　　处：《心理学报》2024年第5期670-688,I0005-I0007,共22页Acta Psychologica Sinica

基　　金：国家自然科学基金项目(62167004,32160203,32300942,31960186和61967009)。

摘　　要：G-DINA(the generalizeddeterministic input,noisy and gate)模型限制条件少,应用范围广,满足大量心理与教育评估测验数据的要求。研究提出一种适用于G-DINA等模型的同时标定新题Q矩阵与项目参数的认知诊断计算机化自适应测验(CD-CAT)在线标定新方法SCADOCM,以期促进CD-CAT在实践中的推广与应用。本研究分别基于模拟题库以及真实题库进行研究,结果表明:相比传统的SIE方法,SCADOCM在各实验条件下均具有较为理想的标定精度与标定效率,应用前景较好;SIE方法不适用于饱和的G-DINA等模型,其各实验条件下的Q矩阵标定精度均较低。Cognitive diagnostic computerized adaptive testing(CD-CAT)provides a detailed diagnosis of an examinee’s strengths and weaknesses in the content measured in a timely and accurate manner,which can be used as a reference for further study or remediation planning,thus meeting the practical need for efficient and detailed test results.The successful implementation of CD-CAT is based on an item bank,but its maintenance is a very challenging task.A psychometrically popular choice for maintaining an item bank is online calibration.Currently,the research on online calibration methods in the CD-CAT that can calibrate Q-matrix and item parameters simultaneously is very weak.The existing methods are basically developed based on the deterministic input,noisy and gate(DINA)model.Compared with the DINA model,the generalized DINA(G-DINA)model has been more widely applied because it is less restrictive and can meet the requirements of a large number of test data in psychological and educational assessment.Therefore,if the online calibration method that jointly calibrates the Q-matrix and item parameters can be developed for models with few constraints such as G-DINA,its meaning is understood without explanation.In current study,a new online calibration method,SCADOCM,was proposed,which was suitable for the G-DINA model.The construction of SCADOCM was based on the smoothly clipped absolute deviation penalty(SCAD)and marginalized maximum likelihood estimation(MMLE/EM)algorithm.For the new item j,the log-likelihood function with SCAD can be formulated based on the examinees’responses in this item and the examinees’attribute marginal mastery probability,and the q-vector of the new item can be estimated by the q-vector estimator based on SCAD.Then,the EM algorithm was used to estimate the item parameter of the new item j based on the posterior distributions of examinees’attribute patterns,the examinees’responses to new item j and the estimated q-vector.To examine the performance of the proposed SCADOCM and compare it with t

关 键 词：认知诊断计算机化自适应测验 在线标定 Q矩阵 G-DINA模型 SCAD惩罚 

分 类 号：B841[哲学宗教—基础心理学]