基于反应和反应时间的能力与速度参数的联合模型  

Joint model of ability and speed parameters based on responses and response times

作　　者：曹蕾 于铃玉 徐平峰 CAO Lei;YU Ling-yu;XU Ping-feng(School of Mathematics and Statistics,Changchun University of Technology,Changchun 130012,China)

机构地区：[1]长春工业大学数学与统计学院,吉林长春130012

出　　处：《东北师大学报（自然科学版）》2023年第2期25-30,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(11871013);吉林省自然科学基金资助项目(20210101152JC)。

摘　　要：提出了基于反应和反应时间的能力与速度参数的两个联合模型M_Logistic和M_Probit,它们的反应部分的连接函数分别Logistic和Probit.在贝叶斯框架下,采用偏差信息准则(deviance information criterion,DIC)和对数伪边际似然(logarithm of the pseudo marginal likelihood,LPML)进行模型比较.在实证研究中,采用M_Logistic,M_Probit,LNIRT对PISA数据进行拟合,结果显示其效果依次递减,模拟研究证实了本文的结论.Two joint models(M_Logistic and M_Probit)based on ability and speed parameters of responses and response times are proposed.The link function of M_Logistic and M_Probitis are Logistic and Probit link respectively.Bayesian method is developed for the parameter estimation.DIC and LPML are used for model comparison.M_Logistic,M_Probit and LINRT are used to fit PISA data,the result is that M_Logistic,M_Probit,LNIRT are the models from the best to the worst.A simulation study has the same conclusion as the empirical data.

关 键 词：Logistic连接函数 Probit连接函数 DIC LPML 联合模型 

分 类 号：O29[理学—应用数学]