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Activity Number: 103
Type: Contributed
Date/Time: Monday, August 7, 2006 : 8:30 AM to 10:20 AM
Sponsor: Biometrics Section
Abstract - #305428
Title: The LASSO Method for Variable Selection for Right-Censored Data
Author(s): Lili Yu*+ and Dennis K. Pearl
Companies: The Ohio State University and The Ohio State University
Address: Trumbull Court, Columbus, 43210,
Keywords: sieve likelihood ; LASSO ; model selection ; right censored data
Abstract:

Tibshirani proposed a variation of the "lasso" method that was to minimize the log partial likelihood subject to the sum of the absolute values of the parameters being bounded by a constant in Cox's proportional hazards model. Due to the nature of this constraint, it shrinks coefficients and produces coefficients that are exactly zero. We apply this method to a class of semiparametric models (linear transformation models) in which the response variable is right-censored and the error is symmetric at zero but its distribution is unknown. We propose to use sieve-likelihood method to calculate the log likelihood and the parameters simultaneously. Simulations indicate using sieve-likelihood to calculate the lasso criteria in this setting can pick approximately the correct number of zero coefficients.


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