JSM 2004 - Toronto

Abstract #301463

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Activity Number: 383
Type: Contributed
Date/Time: Wednesday, August 11, 2004 : 2:00 PM to 3:50 PM
Sponsor: ENAR
Abstract - #301463
Title: Semiparametric Leasts-squares-based ROC Analysis
Author(s): Zheng Zhang*+ and Margaret S. Pepe
Companies: University of Washington and University of Washington
Address: Dept. of Biostatistics, Seattle, WA, 98195-7232,
Keywords: accuracy ; ROC curve ; regression ; biomarker ; diagnostic test
Abstract:

Receiver Operating Characteristic (ROC) curve is a standard statistical tool for evaluating the accuracy of a continuous diagnostic test (e.g., biomarker). It provides a complete description of the test performance and a meaningful way to compare the performances of different tests. We have developed regression models for the ROC curve based on least squares. It provides a simple yet elegant way to estimate the ROC curve using standard linear regression algorithms. Asymptotic theory shows the new estimators are asymptotically unbiased and normally distributed. Extensive simulation studies have shown the new estimators have the similar efficiency as the two previously proposed estimators and are 20-30% more efficient than the nonparametric estimators. The method is illustrated in a pancreatic cancer dataset. We have extended our method to ROC curves comparison and covariate effects modeling. For categorical covariates that are available for both diseased and nondiseased population, the method is readily applicable. Asymptotic theories have been developed for independent tests/covariates. Simulation studies and data analysis are also included.


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