基于IRT的二项分布MAMI模型及其参数估计

Multiple-Attempt and Multiple-Item Response Models Based on IRT and Estimation of Parameters in the models

项目反应理论的一个很重要的应用是在计算机自适应考试(CAT),CAT可以较好地估计对考生能力水平,还可以大大缩短考试时间,有着良好的发展前景。为了更好地测量考生的能力,本文根据项目反应理论,在多尝试、单一项目反应模型的基础上,引入多尝试,多项目反应模型,并建议用MMLE/EM方法对此种模型进行参数估计。

One of the most important application of Item Response Theory is Computerized Adaptive Testing （CAT）. The main advantages of CAT are the accuracy of estimating ability parameter is higher ,and the average of administering time is shorter .It has a vast range of prospects. If examinees are allowed to review while testing, then ability can be estimated much more exactly. Several new type models based on Item Response Theory are built and the method of estimating the parameters（i.e. ,MMLE/EM） in the models is proposed in this paper.