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A discrete survival model with random effects and covariate-dependent selection

✍ Scribed by Scheike, Thomas H. ;Ekstrøm, Claus T.

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
106 KB
Volume
14
Category
Article
ISSN
8755-0024

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✦ Synopsis

In this paper we present a discrete survival model with covariates and random effects, where the random effects may depend on the observed covariates. The dependence between the covariates and the random effects is modelled through correlation parameters, and these parameters can only be identified for time-varying covariates. For time-varying covariates, however, it is possible to separate regression effects and selection effects in the case of a certain dependene structure between the random effects and the time-varying covariates that are assumed to be conditionally independent given the initial level of the covariate. The proposed model is equivalent to a model with independent random effects and the initial level of the covariates as further covariates. The model is applied to simulated data that illustrates some identifiability problems, and further indicate how the proposed model may be an approximation to retrospectively collected data with incorrect specification of the waiting times. The model is fitted by maximum likelihood estimation that is implemented as iteratively reweighted least squares.

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