基于Rasch模型对九年级数学能力测验进行质量分析

Using Rasch Model to Analysis Quality of Nine Grade Mathematical Capability Test

摘要: 使用Rasch模型分析软件WINSTEPS对九年级数学能力测验进行质量分析，通过怀特图(Wright Map)了解该测验的整体情况，包括题目难度，学生能力水平；通过单维性检验、项目拟合度、气泡图等反映题目质量的高低。研究结果表明：① 该测验基本符合其测量目标。能较好地区分出学生能力水平和题目难度。② 题目较简单，学生能力水平范围大于题目难度分布，应增加部分高难度题目。③ 存在个别题目与模型预期的结果不一致，需进一步分析其内容与答题状况。研究所分析的九年级数学能力测验总体上能够准确地进行参数估计，是一套质量较高的测验，该测验基本符合其测量目标。

Abstract: In this study, the Rasch model is used to analyze the quality of the nine-year mathematical ability test. We use WINSTEPS software to estimate the parameters of the data, including the difficulty of the item, the level of students’ ability and the standard error. Through the Multidimensional testing, the item fitting and the bubble map reflect quality of test. The results show that: 1) the test is basically in line with its measurement objectives. It can better distinguish the level of student ability and the difficulty of item; 2) the item is relatively simple; the level of student ability is greater than the degree of difficulty distribution. This text should add some difficult topics; 3) the existence of individual item and the expected results of the model are inconsistent, needing further analysis of its content and answer status. The nine-year mathematical ability test, which is analyzed in this study, is an accurate test of the quality of the test, which is basically in line with its measurement objectives.