Univariate Shrinkage in the Cox Model for High Dimensional Data

Tibshirani Robert J.
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Tibshirani Robert J.: Stanford University

Statistical Applications in Genetics and Molecular Biology, 2009, vol. 8, issue 1, 20

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.

Keywords: proportional hazards model; survival data; lasso; high-dimensional (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (14)

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DOI: 10.2202/1544-6115.1438

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