Researchers have developed a characteristic curve procedure to estimate the parameter scale transformation coefficients in test equating under the nominal response model. In the study, the delta method was applied to derive the standard error expressions for computing the standard errors for the estimates of the parameter scale transformation coefficients. This brief report presents the results of a simulation study that examined the accuracy of the derived formulas and compared the performance of this analytical method with that of the multiple imputation method. The results indicated that the standard errors produced by the delta method were very close to the criterion standard errors as well as those yielded by the multiple imputation method under all the simulation conditions.

研究人员开发了一种特征曲线程序来估计标称响应模型下测试等效中的参数尺度变换系数。在这项研究中，使用 delta 方法推导出标准误差表达式，用于计算参数尺度变换系数估计的标准误差。这份简短的报告介绍了一项模拟研究的结果，该研究检查了推导公式的准确性，并将这种分析方法的性能与多重插补方法的性能进行了比较。结果表明，在所有模拟条件下，delta方法产生的标准误差与多重插补方法产生的标准误差非常接近。