Please use this identifier to cite or link to this item: https://doi.org/10.1007/s11425-012-4462-3
Title: A regression approach to ROC surface, with applications to Alzheimer's disease
Authors: Li, J.L. 
Zhou, X.H.
Fine, J.P.
Keywords: bootstrap
maximum likelihood estimation
rank regression
receiver operating characteristic surface
transformation model
volume under ROC surface
Issue Date: 2012
Citation: Li, J.L., Zhou, X.H., Fine, J.P. (2012). A regression approach to ROC surface, with applications to Alzheimer's disease. Science China Mathematics 55 (8) : 1583-1595. ScholarBank@NUS Repository. https://doi.org/10.1007/s11425-012-4462-3
Abstract: We consider the estimation of three-dimensional ROC surfaces for continuous tests given covariates. Three way ROC analysis is important in our motivating example where patients with Alzheimer's disease are usually classified into three categories and should receive different category-specific medical treatment. There has been no discussion on how covariates affect the three way ROC analysis. We propose a regression framework induced from the relationship between test results and covariates. We consider several practical cases and the corresponding inference procedures. Simulations are conducted to validate our methodology. The application on the motivating example illustrates clearly the age and sex effects on the accuracy for Mini-Mental State Examination of Alzheimer's disease. © 2012 Science China Press and Springer-Verlag Berlin Heidelberg.
Source Title: Science China Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/104963
ISSN: 16747283
DOI: 10.1007/s11425-012-4462-3
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