在项目反应理论(IRT)框架下讨论测验等值问题,给出了对称相对熵等值法(SRE)及其计算公式,讨论了它的一些基本性质,进行了大量蒙特卡洛模拟.找到了一个客观的可以对不同等值方法全面进行比较的方法,将SRE与国际上流行的Stocking-Lord测验特征曲线等值法(SL)、以及IRT等值史上较早提出的Haebara项目特征曲线等值法(H)进行对比.Wilcoxon符号秩检验模拟结果表明:在Samejima等级评分模型下,SRE总比SL和H表现更优越;在0-1评分模式的2参数Logistic模型下,SRE也不比SL差,而SRE和H各有千秋.
A symmetric relative entropy method(SRE) for test equating under item response theory and correspondent computing formula for the equate coeffecients A,B are introduced.Some basic properties of SRE method are discussed.And the Monte Carlo studies are used for comparing SRE method with the Haebara method(H method) or Stocking-Lord method(SL method).Wilcoxon sign rank test is employed to analyze the Monte Carlo studies results.After statistical analysis it shows that under RMSD,the behavior of SRE method is not worse than that of SL method,even if SRE method is better than that of SL method in most cases under Samejima Graded Model.In general SRE is not worse than SL method,and SRE method and H method are leg and leg for two parameters Logistic model.