Abstract
There is a lot of interest in the development and characterization of new biomarkers for screening large populations for disease. In much of the literature on diagnostic testing, increased levels of a biomarker correlate with increased disease risk. However, parametric forms are typically used to associate these quantities. In this article, we specify a monotonic relationship between biomarker levels with disease risk. This leads to consideration of a nonparametric regression model for a single biomarker. Estimation results using isotonic regression-type estimators and asymptotic results are given. We also discuss confidence set estimation in this setting and propose three procedures for computing confidence intervals. Methods for estimating the receiver operating characteristic (ROC) curve are also described. The finite-sample properties of the proposed methods are assessed using simulation studies and applied to data from a pancreatic cancer biomarker study.
Disciplines
Categorical Data Analysis | Clinical Epidemiology | Medical Specialties | Statistical Models
Suggested Citation
Ghosh, Debashis; Banerjee, Moulinath; and Biswas, Pinaki, "Binary isotonic regression procedures, with application to cancer biomarkers" (May 2004). The University of Michigan Department of Biostatistics Working Paper Series. Working Paper 38.
https://biostats.bepress.com/umichbiostat/paper38
Included in
Categorical Data Analysis Commons, Clinical Epidemiology Commons, Medical Specialties Commons, Statistical Models Commons