Simultaneous confidence bands for comparing diagnostic markers

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Abstract
Diagnostic markers are evaluated and compared by their sensitivities and specificities. In this article simultaneous confidence bands (CB's) for a portion of a difference of the receiver operating characteristic (ROC) curves for two diagnostic markers with paired data are established. When the variances of healthy group and diseased group are proportional, the coverage probabilities of the CB's are asymptotically correct. By the same approach asymptotic CB's for a portion of a single ROC curve are also derived. All results obtained are applicable to either actual measurements or rating data. The methods are illustrated with a set of real data arising from a cancer clinical trial.

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