title: Univariate shrinkage in the cox model for high dimensional data.
abstract: We propose a method for prediction in Cox's proportional model, when the number of features (regressors), p, exceeds the number of observations, n. The method assumes that the features are independent in each risk set, so that the partial likelihood factors into a product. As such, it is analogous to univariate thresholding in linear regression and nearest shrunken centroids in classification. We call the procedure Cox univariate shrinkage and demonstrate its usefulness on real and simulated data. The method has the attractive property of being essentially univariate in its operation: the features are entered into the model based on the size of their Cox score statistics. We illustrate the new method on real and simulated data, and compare it to other proposed methods for survival prediction with a large number of predictors.
authors.affiliation: Stanford University, USA. tibs@stat.stanford.edu
authors.forename: Robert J
authors.initials: RJ
authors.lastname: Tibshirani
mesh_terms: D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D020869:Gene Expression Profiling / Q000706:statistics & numerical data*; D014644:Genetic Variation; D055106:Genome-Wide Association Study / Q000706:statistics & numerical data; D006801:Humans; D009369:Neoplasms / Q000175:diagnosis / Q000235:genetics / Q000401:mortality; D011379:Prognosis; D016016:Proportional Hazards Models; D018401:Sample Size; D016019:Survival Analysis