Cox regression analysis in presence of collinearity: An application to assessment of health risks associated with occupational radiation exposure

Xiaonan Xue, Mimi Y. Kim, Roy E. Shore

Research output: Contribution to journalArticle

23 Scopus citations

Abstract

This paper considers the analysis of time to event data in the presence of collinearity between covariates. In linear and logistic regression models, the ridge regression estimator has been applied as an alternative to the maximum likelihood estimator in the presence of collinearity. The advantage of the ridge regression estimator over the usual maximum likelihood estimator is that the former often has a smaller total mean square error and is thus more precise. In this paper, we generalized this approach for addressing collinearity to the Cox proportional hazards model. Simulation studies were conducted to evaluate the performance of the ridge regression estimator. Our approach was motivated by an occupational radiation study conducted at Oak Ridge National Laboratory to evaluate health risks associated with occupational radiation exposure in which the exposure tends to be correlated with possible confounders such as years of exposure and attained age. We applied the proposed methods to this study to evaluate the association of radiation exposure with all-cause mortality.

Original languageEnglish (US)
Pages (from-to)333-350
Number of pages18
JournalLifetime Data Analysis
Volume13
Issue number3
DOIs
StatePublished - Sep 1 2007

Keywords

  • Collinearity
  • Cox proportional hazards model
  • Occupational exposure
  • Ridge regression

ASJC Scopus subject areas

  • Applied Mathematics

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