Academic Journal

A Positive Stable Frailty Model for Clustered Failure Time Data with Covariate-Dependent Frailty.

Bibliographic Details
Title: A Positive Stable Frailty Model for Clustered Failure Time Data with Covariate-Dependent Frailty.
Authors: Liu, Dandan1 dandanl@umich.edu, Kalbfleisch, John D.1, Schaubel, Douglas E.1
Superior Title: Biometrics. Mar2011, Vol. 67 Issue 1, p8-17. 10p. 3 Charts, 1 Graph.
Subject Terms: *FAILURE time data analysis, *KIDNEY transplantation, *ANALYSIS of covariance, *SIMULATION methods & models, *CLUSTER analysis (Statistics), *TRANSPLANTATION of organs, tissues, etc.
Abstract: In this article, we propose a positive stable shared frailty Cox model for clustered failure time data where the frailty distribution varies with cluster-level covariates. The proposed model accounts for covariate-dependent intracluster correlation and permits both conditional and marginal inferences. We obtain marginal inference directly from a marginal model, then use a stratified Cox-type pseudo-partial likelihood approach to estimate the regression coefficient for the frailty parameter. The proposed estimators are consistent and asymptotically normal and a consistent estimator of the covariance matrix is provided. Simulation studies show that the proposed estimation procedure is appropriate for practical use with a realistic number of clusters. Finally, we present an application of the proposed method to kidney transplantation data from the Scientific Registry of Transplant Recipients. [ABSTRACT FROM AUTHOR]
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