Abstract
The area under the receiver operating characteristic (ROC) curve of a diagnostic test can be used as a summary measure for its discriminative ability. If only a single point of an ROC curve is available, then the entire form of the ROC curve is unknown and the area under it cannot be calculated. Assuming that the unknown ROC curve is either monotone or concave, lower and upper bounds are derived for the area. From these bounds, the minmax approximations are obtained. Compared to only assuming monotonicity, assuming that the unknown ROC curve is concave renders a higher minmax approximation for the area under it, with tighter bounds.
Reference10 articles.
1. The meaning and use of the area under a receiver operating characteristic (ROC) curve.
2. Determining the Area under the ROC Curve for a Binary Diagnostic Test
3. 4. Desbiens NA. Area under the ROC curve for a binary diagnostic test . Med Decis Making. 2001; 21: 421 .
4. 5. Cantor SB, Kattan MW. Response to: Area under the ROC curve for a binary diagnostic test . Med Decis Making 2001; 21: 422 .
5. A General Regression Methodology for ROC Curve Estimation
Cited by
25 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献