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A Model for Censored Survival Data When There is an Intervening Event
Author(s) -
Higgins J. E.
Publication year - 1981
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710230211
Subject(s) - weibull distribution , event (particle physics) , proportional hazards model , accelerated failure time model , survival analysis , statistics , event data , econometrics , hazard , hazard model , computer science , mathematics , covariate , physics , chemistry , organic chemistry , quantum mechanics
A model is discussed for incorporating information from a time‐dependent covariable (an intervening event) and covariables independent of time into the analysis of survival data. In the model, it is assumed that individuals are potentially subject to two paths to failure, one including the intervening event and the other not. Additional assumptions are that failure times associated with the two paths are independent and that the time to failure subsequent to the intervening event is dependent on the intervening event time. Allowing the underlying hazard rates for the model to follow a WEIBULL form, use of the model and methods for fitting and hypothesis testing are illustrated by application to a follow‐up study involving industrial workers where disability retirement was the intervening event. Extensions of the model to accommodate grouped survival data are presented.