Model inconsistency, illustrated by Cox proportional hazards model

Ford, I. , Norrie, J. and Ahmadi, S. (1995) Model inconsistency, illustrated by Cox proportional hazards model. Statistics in Medicine, 14(8), pp. 735-746. (doi: 10.1002/sim.4780140804)

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Abstract

We consider problems involving the comparison of two or more treatments where we have the opportunity to adjust for relevant covariates either conditionally in a regression model or implicitly in repeated measures data, for example, in crossover trials. It is seen that for data arising from non-Normal distributions there is the possibility that models adjusting for covariates and those not adjusting for covariates will be inconsistent, that is, at most one of the models can be valid. Alternatively, even if conditional and unconditional models are valid, parameters in each model may have different interpretations. We note that this presents difficulties for the specification and interpretation of the analysis. It is also clear that model validation is critical. Specific attention is paid to survival data analysed by the Cox proportional hazards model.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Norrie, Prof John and Ford, Professor Ian
Authors: Ford, I., Norrie, J., and Ahmadi, S.
Subjects:R Medicine > R Medicine (General)
College/School:College of Medical Veterinary and Life Sciences > School of Health & Wellbeing > Robertson Centre
Journal Name:Statistics in Medicine
ISSN:0277-6715
Published Online:28 February 2007

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