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Estimating implant survival in the presence of competing risks

International Orthopaedics volume 35, pages 151–155 (2011)Cite this article

Abstract

In medical research, commonly, one is interested in the time to the occurence of a particular event, such as the revision of an implant, and the analysis of these data is referred to as survival analysis. However, for some patients, the event is not observed and their observations are censored. These censored observations are particular to survival data and require specific methods for estimation. The Kaplan and Meier method is a popular method to estimate the probability of being free of the event over time and it is now widely applied in orthopaedics such as to report implant survival. However, one of the assumptions underlying the Kaplan-Meier estimator implies that patients whose observations are censored have the same risk of occurrence of the event than patients remaining in the study. However, because the revision of an implant cannot occur after a patient dies, and that dead patients have their observations censored in the Kaplan-Meier method, another setting must be considered. In the sequel we will demonstrate the inadequacy of the Kaplan-Meier method to estimate implant survival and detail the cumulative incidence estimator.

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Affiliations

  1. Département de Biostatistique et Informatique Médicale, Université Paris-Diderot, Assistance Publique-Hôpitaux de Paris, Hôpital Saint-Louis, 1 avenue Claude Vellefaux, Paris, France

    David J. Biau

  2. Département de Chirurgie Orthopédique, Université Paris-Descartes, Assistance Publique-Hôpitaux de Paris, Hôpital Cochin, 27 rue du Faubourg Saint-Jacques, Paris, France

    Moussa Hamadouche

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  1. David J. Biau
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  2. Moussa Hamadouche
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Correspondence to David J. Biau.

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Biau, D.J., Hamadouche, M. Estimating implant survival in the presence of competing risks. International Orthopaedics (SICOT) 35, 151–155 (2011). https://doi.org/10.1007/s00264-010-1097-2

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  • DOI: https://doi.org/10.1007/s00264-010-1097-2

Keywords

  • Survival Data
  • Cumulative Incidence
  • Cumulative Probability
  • Smallpox
  • Cumulative Incidence Function