On the relation between the cause-specific hazard and the subdistribution rate for competing risks data: The Fine-Gray model revisited.

Biometrical Journal. Biometrische Zeitschrift
Hein PutterHans C van Houwelingen

Abstract

The Fine-Gray proportional subdistribution hazards model has been puzzling many people since its introduction. The main reason for the uneasy feeling is that the approach considers individuals still at risk for an event of cause 1 after they fell victim to the competing risk of cause 2. The subdistribution hazard and the extended risk sets, where subjects who failed of the competing risk remain in the risk set, are generally perceived as unnatural . One could say it is somewhat of a riddle why the Fine-Gray approach yields valid inference. To take away these uneasy feelings, we explore the link between the Fine-Gray and cause-specific approaches in more detail. We introduce the reduction factor as representing the proportion of subjects in the Fine-Gray risk set that has not yet experienced a competing event. In the presence of covariates, the dependence of the reduction factor on a covariate gives information on how the effect of the covariate on the cause-specific hazard and the subdistribution hazard relate. We discuss estimation and modeling of the reduction factor, and show how they can be used in various ways to estimate cumulative incidences, given the covariates. Methods are illustrated on data of the European Society f...Continue Reading

References

Jun 4, 2002·Statistical Methods in Medical Research·Per Kragh AndersenSusanne Rosthøj
Jun 7, 2006·Statistics in Medicine·A LatoucheR Porcher
Oct 13, 2006·Statistics in Medicine·H PutterR B Geskus
Dec 24, 2009·Biometrical Journal. Biometrische Zeitschrift·Giuliana Cortese, Per K Andersen
Jan 26, 2010·Statistics in Medicine·M A NicolaieH Putter
Mar 10, 2010·Statistics in Medicine·Nadine GrambauerJan Beyersmann
Mar 17, 2010·Computer Methods and Programs in Biomedicine·Liesbeth C de WreedeHein Putter
Nov 15, 2011·Statistics in Medicine·Per Kragh Andersen, Niels Keiding
Jan 19, 2012·International Journal of Epidemiology·Per Kragh AndersenHein Putter
Mar 16, 2013·Statistics in Medicine·Giuliana CortesePer K Andersen
Aug 16, 2014·Journal of Multivariate Analysis·Ruosha Li, Limin Peng

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