非参数项目反应理论在小规模测验中的运用

The Application of Non-parametric Item Response Theory in Small Scale Test

单调匀质模型是非参数项目反应理论中使用最广泛的模型,它有三个基本假设,适用于小规模测验的分析。本研究使用MHM分析北京语言大学汉语进修学院某次测验,结果表明测验满足弱单维性假设与弱局部独立性假设,67个项目中有9个项目的量表适宜性系数低于0.3,需要修改或删除,删除后测验为中等强度的Mokken量表。另外,有2个项目违反了单调性假设,不符合Mokken量表的要求。

The Monotone Homogeneity Model （MHM） is the most widely used model in non-parametric item response theory. It has three basic hypotheses, suitable for the analysis of small scale tests. This study uses the MHM to analyze a course test of Beijing Language and Culture University. The result shows that the test meets the weak unidimensionality hypothesis and weak local independence assumption. The scalability coefficients of nine items are less than 0.3, which should be modified or deleted. In addition, 2 items violate the monotonicity assumption.