articleStatistics in MedicineFeb 22, 2005GREEN OA

Generating survival times to simulate Cox proportional hazards models

RBRalf BenderTAThomas AugustinMBMaria Blettner

Institute for Quality and Efficiency in Health Care · Johannes Gutenberg University Mainz · +1 more institution

PubMed
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Abstract

Simulation studies present an important statistical tool to investigate the performance, properties and adequacy of statistical models in pre-specified situations. One of the most important statistical models in medical research is the proportional hazards model of Cox. In this paper, techniques to generate survival times for simulation studies regarding Cox proportional hazards models are presented. A general formula describing the relation between the hazard and the corresponding survival time of the Cox model is derived, which is useful in simulation studies. It is shown how the exponential, the Weibull and the Gompertz distribution can be applied to generate appropriate survival times for simulation…

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889
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3

Topics & keywords

Topics
Keywords
  • Proportional hazards model
  • Weibull distribution
  • Gompertz function
  • Hazard
  • Statistics
  • Accelerated failure time model
  • Survival analysis
  • Computer science
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