Inference for a family of survival models encompassing the proportional hazards and proportional odds models

David M. Zucker*, Song Yang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

For survival data regression, the Cox proportional hazards model is the most popular model, but in certain situations the Cox model is inappropriate. Various authors have proposed the proportional odds model as an alternative. Yang and Prentice recently presented a number of easily implemented estimators for the proportional odds model. Here we show how to extend the methods of Yang and Prentice to a family of survival models that includes the proportional hazards model and proportional odds model as special cases. The model is defined in terms of a Box-Cox transformation of the survival function, indexed by a transformation parameter ρ. This model has been discussed by other authors, and is related to the Harrington-Fleming Gρ family of tests and to frailty models. We discuss inference for the case where ρ is known and the case where ρ must be estimated. We present a simulation study of a pseudo-likelihood estimator and a martingale residual estimator. We find that the methods perform reasonably. We apply our model to a real data set.

Original languageAmerican English
Pages (from-to)995-1014
Number of pages20
JournalStatistics in Medicine
Volume25
Issue number6
DOIs
StatePublished - 30 Mar 2006

Keywords

  • Frailty
  • Survival analysis
  • Transformation family (Box-Cox)

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