Obuchowski N A
Department of Biostatistics, Cleveland Clinic Foundation, Ohio.
Invest Radiol. 1994 Feb;29(2):238-43. doi: 10.1097/00004424-199402000-00020.
Hanley and McNeil (1982) proposed a nonparametric method for computing the standard error of the area under the receiver operating characteristic (ROC) curve. The method has been important in planning the minimum sample size for ROC studies. However, the validity of this method for rating data with various standard deviation ratios has not been investigated.
A simulation study was conducted to compare the empirical standard error of the area under the curve with Hanley and McNeil's estimate over a range of parameters. An alternative method of computing the standard error based on a binormal distribution is proposed.
The method of Hanley and McNeil can lead to underestimation of the minimum sample size. The proposed method provides more appropriate estimates of sample size.
When determining sample size for a study of the area under the ROC curve where rating data are used, the standard error estimator based on the binormal distribution should be used.
汉利和麦克尼尔（1982年）提出了一种用于计算接收者操作特征（ROC）曲线下面积标准误的非参数方法。该方法在规划ROC研究的最小样本量方面一直很重要。然而，尚未研究该方法对具有各种标准差比率的评级数据的有效性。
进行了一项模拟研究，以比较曲线下面积的经验标准误与汉利和麦克尼尔在一系列参数范围内的估计值。提出了一种基于双正态分布计算标准误的替代方法。
汉利和麦克尼尔的方法可能导致对最小样本量的低估。所提出的方法提供了更合适的样本量估计。
在确定使用评级数据的ROC曲线下面积研究的样本量时，应使用基于双正态分布的标准误估计器。
