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equating coefficient
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     The difference has closely relationship with estimation random error and the domain of equating coefficient A.
     它们之间的差异和随机误差的大小有密切关系,即与项目参数估计的精度有关; 还与等值系数A的范围有关。
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There are a lot of polytomous item response theory models known as devide-by-total. The equating test for these models is very difficult, because hardly can one to find out quite accurately initial values of the equating coefficients. Lack of the accuracy of the initial values leads to the Haebara approach, Stocking Lord approach, Symmetric Relative Entropy approach to fail for equating tests under these models. A new equating method, Logcontrast approach, is introduced in this paper....

There are a lot of polytomous item response theory models known as devide-by-total. The equating test for these models is very difficult, because hardly can one to find out quite accurately initial values of the equating coefficients. Lack of the accuracy of the initial values leads to the Haebara approach, Stocking Lord approach, Symmetric Relative Entropy approach to fail for equating tests under these models. A new equating method, Logcontrast approach, is introduced in this paper. This approach has some advantages for these models, such as the robustness for choicing the initial values of the iteration , fast convergent, and accurate result. And Logcontrast equating approach could supply quite accurate initial values for the rest of the equating methods mentioned above. Moreover, Logcontrast approach generalized and impoved the logit method for equating the dichotomous items.

项目反应理论有一些以除法形式给出的多级评分模型 ,若采用Haebara等值法、Stocking_Lord等值法或对称相对熵等值法进行测验等值 ,都因其对初值有较高要求而可能导致失败。针对这一类模型 ,我们给出了一种新的等值方法———对数对比等值法。这种方法收敛快 ,对迭代初值要求低 ,所得结果精度较高 ,可以为其他等值方法提供良好的初值。研究表明 ,对数对比等值法还改进和推广了 0 - 1评分的两参数Logistic模型的Logit变换等值法。

Motivated by Freeman-Tukey statistical test, a new equating criterion under item response theory, known as square root criterion (SQRcrit), is proposed . The new method has some features, such as the probabilities for correct response and error response appear simultaneously in the formula and they could not be replaced each other. It is easy to generalize from dichotomous version to polyt omous version. It could be regarded as one of weighted versions of Haebara equating criterion. In terms of the...

Motivated by Freeman-Tukey statistical test, a new equating criterion under item response theory, known as square root criterion (SQRcrit), is proposed . The new method has some features, such as the probabilities for correct response and error response appear simultaneously in the formula and they could not be replaced each other. It is easy to generalize from dichotomous version to polyt omous version. It could be regarded as one of weighted versions of Haebara equating criterion. In terms of the recovery of estimating the equating coefficients and based on Wilcoxon sign-rank test, the findings of Monte Carlo study show an interesting phenomenon that if the equating approaches are proper relates to the accuracy of the estimation of the item parameters (AEIP) and to the domain of the equating coefficient A, but not to the domain of B. When the AEIP is higher, the new equating criterion is proper for 0.9≤A≤1.3. And when the AEIP is lower, the new equating criterion is proper for 1≤A≤2.

受假设检验方法的启发,该文引出了一种基于项目反应理论的新等值方法———平方根等值准则。它具有一些特点:定义式中答对、答错概率同时出现而不能互相替代;极易从0-1评分模式的版本转换到多级评分版本;它可以看成是Haebara等值准则的加权形式。以等值系数估计值的误差大小为衡量标准,以Wilcoxon符号秩检验为依据,大量的Monte Carlo模拟结果显示了一种有趣的现象,即等值方法的运用范围既与项目参数估计精度有关,又与等值系数A的范围有关,但与另一个等值系数B的范围无关。当项目参数估计精度较高或中等而A取值在0.9~1.3之间,新方法往往比Stocking_Lord方法和Haebara方法的估计误差小且有显著性差异,当项目参数估计精度较低时,而A从1.0~2.0时新方法都有优越性。

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...

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.

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.

 
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