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Activity Number: 243
Type: Invited
Date/Time: Tuesday, August 4, 2009 : 8:30 AM to 10:20 AM
Sponsor: Section on Nonparametric Statistics
Abstract - #302785
Title: Empirical Likelihood Inference for Regression Model of Mean Quality-Adjusted Lifetime with Censored Data
Author(s): Hongkun Wang*+ and Yichuan Zhao
Companies: University of Virginia and Georgia State University
Address: UVA Health System, Dept of Public Health Sciences, Charlottesville, VA, 22903,
Keywords: confidence region ; estimating equation ; quality-adjusted lifetime ; survival analysis
Abstract:

Quality-adjusted lifetime (QAL) has been studied more and more in clinical trials to evaluate new therapies for chronic diseases. We consider the empirical likelihood method for the regression model of mean QAL when the data are subject to right censoring. An empirical log-likelihood ratio for the vector of the regression parameters is defined which is asymptotically a weighted sum of independent chi-square distributions. Moreover, an adjusted empirical log-likelihood ratio is obtained which is asymptotically standard chi-square. Corresponding confidence regions are constructed based on the proposed empirical likelihood methods. Simulation studies are carried out to compare the methods with the normal approximation based methods in terms of coverage probability. A data example from a breast cancer clinical trial study is used to illustrate the applicability of the proposed methods.


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