Nonparametric analysis of an accelerated failure time model

Research output: Contribution to journalArticle

Abstract

SUMMARY: Survival distributions can be characterized by and compared through their hazard functions. Tests using a proportional hazards model have good power if the two hazards do not cross, but without time-dependant covariates can have low power if they do. The method contained herein is designed to provide a complement to the proportional hazards model. Differences in survival distributions are parameterized by a scale change and the log rank statistic is used to generate an estimate of the change and a confidence interval based test. This approach is fully efficient for the Weibull family with no censoring. In general it compares favourably with the proportional hazards approach, although neither method dominates.

Original languageEnglish (US)
Pages (from-to)381-390
Number of pages10
JournalBiometrika
Volume68
Issue number2
DOIs
StatePublished - Aug 1 1981
Externally publishedYes

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Agricultural and Biological Sciences (miscellaneous)
  • Agricultural and Biological Sciences(all)
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

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