Recent interest in cancer research focuses on predicting patients' survival by investigating gene expression profiles based on microarray analysis. We propose a doubly penalized Buckley-James method for the semiparametric accelerated failure time model to relate high-dimensional genomic data to censored survival outcomes, which uses a mixture of L1-norm and L2-norm penalties. Similar to the elastic-net method for linear regression model with uncensored data, the proposed method performs automatic gene selection and parameter estimation, where highly correlated genes are able to be selected (or removed) together. The two-dimensional tuning parameter is determined by cross-validation and uniform design. The proposed method is evaluated by simulations and applied to the Michigan squamous cell lung carcinoma study.
Wang, Sijian; Nan, Bin; Zhu, Ji; and Beer, David G., "Doubly Penalized Buckley-James Method for Survival Data with High-Dimensional Covariates" (November 2006). The University of Michigan Department of Biostatistics Working Paper Series. Working Paper 62.