Jackson, Richard and Cox, Trevor
(2014)
A Robust Parameterization for Unbounded Covariates Within the
Cox Proportional Hazards Model.
International Journal of Statistics in Medical Research, 3 (4).
pp. 331-339.
Text
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Abstract
The Cox proportional hazards model is widely used in the analysis of medical data either for survival or time to a particular event. Factors and continuous covariates can be easily incorporated into the model and hazard ratios calculated. The model can however be distorted when extreme value observations occur within a continuous covariate and the hazard ratio can become extremely large. To overcome this, transformations of the covariate are often made, which can be simple, e.g. log, or more sophisticated such as the fitting of a fractional polynomial. This paper takes a different approach and makes a transformation based on the logistic function that has the property that the hazard ratio is bounded. The models are introduced and discussed. Model diagnostics based on Schoenfeld residuals and the influence function are established and then data from a pancreatic cancer trial are used to illustrate the model.
Item Type: | Article |
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Uncontrolled Keywords: | Bioengineering, Digestive Diseases |
Depositing User: | Symplectic Admin |
Date Deposited: | 26 Aug 2015 10:31 |
Last Modified: | 16 Mar 2024 06:25 |
DOI: | 10.6000/1929-6029.2014.03.04.1 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/2020706 |