Abstract #301946

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JSM 2002 Abstract #301946
Activity Number: 22
Type: Contributed
Date/Time: Sunday, August 11, 2002 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section*
Abstract - #301946
Title: A Method of Estimating and Comparing Volumes Under Receiver Operating Characteristic (ROC) Surfaces
Author(s): Harry Yang*+ and David Carlin
Affiliation(s): MedImmune, Inc. and MedImmune, Inc.
Address: 35 W. Watkins Mill Rd., Gaithersburg, MD, 20878, USA
Keywords: Simulation ; Type I and Type II errors ; Fisher's exact ; Cochran-Mantel-Haenszel
Abstract:

In this paper, we propose to use the maximum likelihood estimator (MLE) to estimate the volume under the ROC surface, a generalized ROC curve analysis proposed by Yang and Carlin . We show that the MLE is a consistent estimator, having an asymptotic normal distribution. The findings allow us to construct confidence interval for the volume index of a diagnostic test and to compare volume indices for different diagnostic assays. A numerical integration method for computing the MLE estimator of the volume index is also proposed. The use of the method is illustrated through a simulation study.

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Revised March 2002