The area under an ROC curve with limited information

被引:23
|
作者
van den Hout, WB [1 ]
机构
[1] Leiden Univ, Med Ctr, Dept Med Decis Making, NL-2300 RC Leiden, Netherlands
关键词
ROC curve analysis; area under the curve; monotonicity; concavity;
D O I
10.1177/0272989X03251246
中图分类号
R19 [保健组织与事业(卫生事业管理)];
学科分类号
摘要
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.
引用
收藏
页码:160 / 166
页数:7
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