非参数CD-CAT题库Q矩阵优化设计

The Optimal Q-Matrix Design for Item Pool in Nonparametric CD-CAT

开展非参数CD-CAT题库Q矩阵的优化设计,并将它用于指导题库题目编制或选择,且它无需模型参数估计,这对于促进非参数CD-CAT进入课堂评价至关重要.受p-优化的启发,该文提出比例法生成优化Q矩阵,同时将已有的参数化模型题库设计方法推广到非参数化题库Q矩阵的优化设计.模拟研究结果显示:比例法和推广的融合法都有较好表现,而且当题库量较少时比例法更有优势.

It is very important for designing item pool optimal Q-matrix for nonparametric CD-CAT which can guide the item writing without the need of model parameter estimation.Inspired by p-optimal design,a proportional method is proposed for designing optimal Q-matrix,and an existing parametric method is extended to nonparametric CD-CAT,called the fusion method.Simulation results show that two methods have similar performance,while the proportional method has certain advantages when the number of items is small.