Optimal Combinations of Diagnostic Tests Based on AUC
Version of Record online: 16 JUN 2010
© 2010, The International Biometric Society
Volume 67, Issue 2, pages 568–576, June 2011
How to Cite
Huang, X., Qin, G. and Fang, Y. (2011), Optimal Combinations of Diagnostic Tests Based on AUC. Biometrics, 67: 568–576. doi: 10.1111/j.1541-0420.2010.01450.x
- Issue online: 20 JUN 2011
- Version of Record online: 16 JUN 2010
- Received July 2009. Revised February 2010. Accepted April 2010.
- ROC curve;
- Variable selection
Summary When several diagnostic tests are available, one can combine them to achieve better diagnostic accuracy. This article considers the optimal linear combination that maximizes the area under the receiver operating characteristic curve (AUC); the estimates of the combination's coefficients can be obtained via a nonparametric procedure. However, for estimating the AUC associated with the estimated coefficients, the apparent estimation by re-substitution is too optimistic. To adjust for the upward bias, several methods are proposed. Among them the cross-validation approach is especially advocated, and an approximated cross-validation is developed to reduce the computational cost. Furthermore, these proposed methods can be applied for variable selection to select important diagnostic tests. The proposed methods are examined through simulation studies and applications to three real examples.