Paul Stober’s scientific contributions

The Receiver Operating Characteristic (ROC) curve is a curve presented in a probability scale graph and is used to judge the discrimination ability of various statistical methods for predictive purposes. The area under the ROC curve can be measured and converted to a single quantitative index for diagnostic accuracy. An explicit functional form approach is proposed as an alternative estimation method to evaluate the area under a ROC curve. This paper provides an explicit functional form to represent the ROC curve through SAS code for parameter estimation and the area under the curve calculation. The empirical ROC curves produced from this approach are much smoother with convexity of the curves.