England W L
Center for Health Systems Research and Analysis, University of Wisconsin-Madison.
Med Decis Making. 1988 Apr-Jun;8(2):120-31. doi: 10.1177/0272989X8800800208.
A two-parameter exponential equation for modeling a receiver operating characteristic (ROC) curve is presented, where the area under the curve is a simple function of one of the parameters. The model makes no distributional assumptions about the underlying normal and abnormal patient populations or about the shape of the resulting ROC curves. In a computer simulation of 75 ROC curves, the model provides a fit equivalent to the maximum likelihood estimate method commonly used for ROC curve fitting. Similar results are obtained using the model to fit ROC curve data from the literature. The model's equation calculates the true-positive ratio as a function of the false-positive ratio, and has a first derivative that is useful for finding the optimal decision threshold for a diagnostic testing procedure. In particular, the model is useful in a computer program for finding jointly optimal thresholds for multiple sequential tests.
本文提出了一个用于对接收者操作特征（ROC）曲线进行建模的双参数指数方程，其中曲线下面积是其中一个参数的简单函数。该模型不对潜在的正常和异常患者群体进行分布假设，也不对所得ROC曲线的形状进行假设。在对75条ROC曲线的计算机模拟中，该模型提供的拟合效果等同于通常用于ROC曲线拟合的最大似然估计方法。使用该模型对文献中的ROC曲线数据进行拟合也得到了类似结果。该模型的方程将真阳性率计算为假阳性率的函数，并且其一阶导数对于找到诊断测试程序的最佳决策阈值很有用。特别是，该模型在一个计算机程序中很有用，该程序用于找到多个连续测试的联合最佳阈值。
