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Activity Number: 332
Type: Contributed
Date/Time: Tuesday, July 31, 2007 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract - #310244
Title: Small Sample Conditional Inference for the Cox Model
Author(s): Juan Zhang*+ and John E. Kolassa
Companies: Rutgers University and Rutgers University
Address: Dept of Statistics and Biostatistics, Piscataway, NJ, 08855,
Keywords: Saddlepoint approximation ; Cox model ; Conditional inference ; Modified signed likelihood ratio statistic ; Priors ; Partial differential equation
Abstract:

We apply saddlepoint approximation to conditional inference under the Cox model. With the presence of nuisance parameters, inference about the parameter of interest may be based on the signed root of the likelihood ratio statistic. DiCiccio and Martin (1993) proposed an alternative quantity to the signed root of the likelihood ratio statistic, which involves the Bayesian approach. The prior function of the parameters can be obtained from a partial differential equation. For the Cox model, finding the prior function is not trivial. We provide a way to solve the partial differential equation, apply it to the Cox model, and perform numerical studies in small sample size settings.


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Revised September, 2007