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Case-control survival analysis with a general semiparametric shared frailty model--a pseudo full likelihood approach

Gorfine, Malka and Zucker, David M. and Hsu, Li (2009) Case-control survival analysis with a general semiparametric shared frailty model--a pseudo full likelihood approach. Annals of Statistics, 37 (3). pp. 1489-1517. ISSN 0090-5364

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Abstract

In this work we deal with correlated failure time (age at onset) data arising from population-based case-control studies, where case and control probands are selected by population-based sampling and an array of risk factor measures is collected for both cases and con- trols and their relatives. Parameters of interest are e®ects of risk factors on the failure time hazard function and within-family depen- dencies among failure times after adjusting for the risk factors. Due to the retrospective sampling scheme, large sample theory for existing methods has not been established. We develop a novel technique for estimating the parameters of interest under a general semiparamet- ric shared frailty model. We also present a simple, easily computed, and non-iterative nonparametric estimator for the cumulative base- line hazard function. We provide rigorous large sample theory for the proposed method. We also present simulation results and a real data example for illustrating the utility of the proposed method.

Item Type: Article
Additional Information: This article is freely available via the URL above as published by Annals of Statistics, http://www.imstat.org/aos/
DOI: 10.1214/08-AOS615
PubMed ID: 19684881
NIHMSID: NIHMS113107
PMCID: PMC2727284
Grant Numbers: R01 AG014358-09, P01 CA053996-31
Subjects: Research Methodologies > Mathematics and statistics
Depositing User: Library Staff
Date Deposited: 24 Apr 2009 22:05
Last Modified: 14 Feb 2012 14:42
URI: http://authors.fhcrc.org/id/eprint/221

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