A regression approach to ROC surface, with applications to Alzheimer's disease

作者：Li JiaLiang^*; Zhou XiaoHua; Fine Jason P

来源：Science China Mathematics, 2012, 55(8): 1583-1595.

DOI：10.1007/s11425-012-4462-3

• receiver operating characteristic surface
• volume under ROC surface
• rank regression
• transformation model
• maximum likelihood estimation
• bootstrap

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.

• 出版日期2012-8