
Accession Number : ADA189053
Title : Survival Analysis Using Additive Risk Models.
Descriptive Note : Technical rept.,
Corporate Author : STANFORD UNIV CA DEPT OF STATISTICS
Personal Author(s) : Huffer, Fred W ; McKeague, Ian W
PDF Url : ADA189053
Report Date : 06 Oct 1987
Pagination or Media Count : 37
Abstract : In this paper we study Aalen's additive risk model for the regression analysis of censored survival data. The additive risk model provides a useful alternative to Cox's (1972) proportional hazards model when large sample size makes its application feasible. It is capable of providing detailed information concerning the temporal influence of each covariate. The temporal influences of the covariates are not assumed to be proportional as they are in Cox's model. Buckley has pointed out that additive risk models are biologically more plausible than proportional hazard models. Also, the use of the proportional hazards model when the true model is additive risk has been found by O'Neil to result in serious asymptiotic bias. The first purpose of the present paper is to apply the additive risk model to the analysis of grouped data in which only the personyears at risk and number of uncensored deaths over successive time intervals, tabulated for various levels of the covariates, are available. This kind of data typically arises in epidemiological cohort studies involving the followup of large population groups over many years, see Breslow. Our approach is to use an estimator, constructed using the method of sieves, for which an asymptotic distribution theory was developed by McKeague. This estimator, called the integrated histogram sieve estimator, requires only grouped data. The second purpose of this paper is to derive the asymptotic distribution of Aalen's least squares estimator.
Descriptors : *RISK, *SURVIVAL(GENERAL), ADDITIVES, ASYMPTOTIC SERIES, ESTIMATES, HAZARDS, LEAST SQUARES METHOD, POPULATION, REGRESSION ANALYSIS, TIME INTERVALS, MATHEMATICAL MODELS
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE