Halpern E J, Albert M, Krieger A M, Metz C E, Maidment A D
Department of Radiology, Jefferson Medical College, Thomas Jefferson University Hospital, Philadelphia, PA 19107-5244, USA.
Acad Radiol. 1996 Mar;3(3):245-53. doi: 10.1016/s1076-6332(96)80451-x.
We developed a method of comparing receiver operating characteristic (ROC) curves on the basis of the utilities associated with their optimal operating points (OOPs).
OOPs were computed for paired ROC curves on the basis of isocost lines in ROC space with slopes ranging from 0.1 to 3.0. For each pair of OOPs corresponding to a single isocost slope, the difference in costs and the variance of this difference was computed. A sensitivity analysis was thus obtained for the difference between the two curves over a range of isocost slopes. Three published data sets were evaluated using this technique, as well as by comparisons of areas under the curves and of true-positive fractions at fixed false-positive fractions.
The OOPs of paired ROC curves often occur at different false-positive fractions. Comparisons of ROC curves on the basis of OOPs may provide results that differ from comparisons of curves at a fixed false-positive fraction.
ROC curves may be compared on the basis of utilities associated with their OOPs. This comparison of the optimal performance of two diagnostic tests may differ from conventional statistical comparisons.
我们基于与接收器操作特性（ROC）曲线的最佳操作点（OOP）相关的效用，开发了一种比较ROC曲线的方法。
根据ROC空间中斜率范围为0.1至3.0的等成本线，计算配对ROC曲线的OOP。对于对应于单个等成本斜率的每对OOP，计算成本差异及其差异的方差。从而获得了在一系列等成本斜率范围内两条曲线之间差异的敏感性分析。使用该技术评估了三个已发表的数据集，同时也通过比较曲线下面积以及固定假阳性率下的真阳性率进行评估。
配对ROC曲线的OOP通常出现在不同的假阳性率处。基于OOP比较ROC曲线可能会得出与在固定假阳性率下比较曲线不同的结果。
可以基于与其OOP相关的效用比较ROC曲线。两种诊断测试最佳性能的这种比较可能与传统统计比较不同。
