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Statistics in Medicine
Article . 2005 . Peer-reviewed
License: Wiley Online Library User Agreement
Data sources: Crossref
Open Data LMU
Research . 2003
Data sources: Datacite
EconStor
Research . 2003
Data sources: EconStor
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Generating survival times to simulate Cox proportional hazards models

Authors: Bender, Ralf; Augustin, Thomas; Blettner, Maria;

Generating survival times to simulate Cox proportional hazards models

Abstract

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 studies. Additionally, the general relation between hazard and survival time can be used to develop own distributions for special situations and to handle flexibly parameterized proportional hazards models. The use of distributions other than the exponential distribution is indispensable to investigate the characteristics of the Cox proportional hazards model, especially in non‐standard situations, where the partial likelihood depends on the baseline hazard. A simulation study investigating the effect of measurement errors in the German Uranium Miners Cohort Study is considered to illustrate the proposed simulation techniques and to emphasize the importance of a careful modelling of the baseline hazard in Cox models. Copyright © 2005 John Wiley & Sons, Ltd.

Country
Germany
Keywords

Gompertz distribution, Radiation, Cox proportional hazards model, survival times, Cox proportional hazards model; exponential distribution; Gompertz distribution; simulation; survival times; Weibull distribution, ddc:519, simulation, Survival Analysis, Mining, 510, Cohort Studies, Radon, Neoplasms, Humans, exponential distribution, Weibull distribution, Computer Simulation, Germany, East, Proportional Hazards Models

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    648
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
648
Top 0.1%
Top 0.1%
Top 10%
bronze