JSM 2005 - Toronto

Abstract #304503

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 189
Type: Contributed
Date/Time: Monday, August 8, 2005 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract - #304503
Title: Estimating and Testing Random Coefficients in a Proportional Hazard Frailty Model
Author(s): Shibao Feng*+ and Robert A. Wolfe
Companies: Georgetown University Medical Center and University of Michigan
Address: Suite 180 Building D, Washington, DC, 20057, United States
Keywords: Survival analysis ; Frailty model ; Adaptive Gaussian quadrature ; Kidney transplant
Abstract:

A parametric (e.g., piecewise exponential) relative risk frailty model is proposed to test and estimate random coefficients for clustered time-to-event data, where the unobserved cluster intercepts and random coefficient are assumed to follow a bivariate lognormal distribution. Adaptive Gaussian quadrature numerical integration method is applied to compute the marginal likelihood, and yields a likelihood ratio test for random coefficients based on a mixture chi-square distribution. Simulation results suggest that under moderate samples, the proposed likelihood ratio test for random coefficients is valid and the estimating procedure yields accurate estimates for both fixed and random effects parameters. These simulation results also can be applied to the likelihood ratio test for the variance component in a semiparametric gamma frailty model. The proposed likelihood ratio test and estimating procedure are further applied to analyze a dataset from the national kidney transplant registry.


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