A comparison of confidence/credible interval methods for the area under the ROC curve for continuous diagnostic tests with small sample size

Statistical Methods in Medical Research
Dai FengRichard Baumgartner

Abstract

The receiver operating characteristic (ROC) curve is frequently used as a measure of accuracy of continuous markers in diagnostic tests. The area under the ROC curve (AUC) is arguably the most widely used summary index for the ROC curve. Although the small sample size scenario is common in medical tests, a comprehensive study of small sample size properties of various methods for the construction of the confidence/credible interval (CI) for the AUC has been by and large missing in the literature. In this paper, we describe and compare 29 non-parametric and parametric methods for the construction of the CI for the AUC when the number of available observations is small. The methods considered include not only those that have been widely adopted, but also those that have been less frequently mentioned or, to our knowledge, never applied to the AUC context. To compare different methods, we carried out a simulation study with data generated from binormal models with equal and unequal variances and from exponential models with various parameters and with equal and unequal small sample sizes. We found that the larger the true AUC value and the smaller the sample size, the larger the discrepancy among the results of different approache...Continue Reading

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Citations

May 3, 2016·Cancer Cytopathology·Nazim BenzerdjebHenri Sevestre
Aug 22, 2018·Statistical Methods in Medical Research·Ileana Montoya PerezTapio Pahikkala
Nov 3, 2020·Annals of Clinical and Translational Neurology·Stefan J TeipelUNKNOWN Alzheimer's Disease Neuroimaging Initiative
May 26, 2021·Statistics in Medicine·Richard D RileyKym I E Snell

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Software Mentioned

R
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R package MBESS
Pepe

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