Haebara等值方法及其加权准则

Haebara Equating Method and Weighted-Haebara Equating Method

项目反应理论(IRT)框架下的等值,目前比较流行的有Stocking-Lord方法和Haebara方法,即使对于相同的项目参数和能力参数,这两种等值方法计算出的等值系数也是不相同的.受Pearson卡方检验的启发,文中导出一种新的求取等值系数方法,即:加权等值方法(Weighted criterion,Wcrit),它实际上是Hae-bara准则的加权式.Monte-Carlo模拟结果表明:Stocking-Lord方法和Haebara方法的表现各有千秋,而通常情况下,加权等值方法比Haebara方法表现更优.

There are some popular equating criteria based on item response theory, such as Stocking-Lord method, Haebara method. The equating coefficients, derived from the different equating method, are not the same even for the same raw data. In this paper, a new method, named Weighted-Haebara method, is proposed in the light of Pearson＇ s Chi - Square Test Statistic. Monte Carlo study shows that Stocking-Lord method and Haebara method, are comparable; usually, the behavior of Weighted-Haebara method is better than that of Haebara method.