高考数学试卷不同等值方法的比较研究

Comparative Study on Equivalent Methods of Mathematics Test Papers in College Entrance Examination

等值是不同测验之间进行比较的基础。以数学试卷为探讨对象,并以湖南省长沙市某年高考考生为例,应用经典测量理论和项目反应理论,对高考理科数学试卷与高考模拟试卷进行等值比较分析,探讨不同等值方法的等值效果。结果表明,针对本研究所取等值数据与样本,在CTT框架下,线性等值法优于等百分位等值法,其中Tucker方法比Levine观察分数方法更好一些;采用IRT理论等值方法对高考数学考试数据进行统计分析时,可以采用混合模型。

Equivalence is the basis for comparison between different tests. Taking mathematics papers as theobject of discussion, applying classical test theory and item response theory, the equivalent analysis of themathematics test papers in the college entrance examination and the college entrance examination simulated testpapers in Changsha City, Hunan Province were carried out to explore the equivalent effect of different equivalentmethods.The results show that for the equivalent data and samples in this study, the linear equivalent method isbetter than the equipercentile equivalent method under the CTT framework, and the Tucker method is better thanthe Levine observation score method.When the IRT theoretical equivalent method is used to statistically analyze themathematics test data in the college entrance examination, a mixed model can be adopted.