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Statistical inference for the area under the receiver operating characteristic curve in the presence of random
E F Schisterman1, D Faraggi, B Reiser
1Department of Social and Preventive Medicine, University at Buffalo, Buffalo, NY, USA. schistermane@cshs.org
Abstract:
The area under the receiver operating characteristic curve is the most commonly used measure of the ability of a biomarker to distinguish between two populations. Some markers are subject to substantial measurement error. Under normality assumptions, the authors develop a confidence interval procedure for the area under the receiver operating characteristic curve that adjusts for measurement error. This procedure assumes the availability of data from a reliability study of the biomarker. A simulation study was used to check the validity of the proposed confidence interval. Furthermore, it was shown that not adjusting for measurement error could result in a serious understatement of the effectiveness of the biomarker.