Journal Information
Vol. 18. Issue 5.
Pages 391-397 (September - October 2004)
Vol. 18. Issue 5.
Pages 391-397 (September - October 2004)
Open Access
Análisis de supervivencia en presencia de riesgos competitivos: estimadores de la probabilidad de suceso
Survival analysis with competing risks: estimating failure probability
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Javier Llorcaa,
Corresponding author
llorcaj@unican.es

Correspondencia: Medicina Preventiva y Salud Pública. Facultad de Medicina. Avda. Cardenal Herrera Oria, s/n. 39011 Santander. España.
, Miguel Delgado-Rodríguezb
a Medicina Preventiva y Salud Pública. Facultad de Medicina de la Universidad de Cantabria. Santander
b Medicina Preventiva y Salud Pública. Universidad de Jaén. España
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Article information
Resumen
Objetivo

Mostrar el efecto de los riesgos competitivos de muerte en el análisis de supervivencia.

Métodos

Se presenta un ejemplo sobre la supervivencia libre de rechazo tras un trasplante cardíaco, en el que la muerte antes de desarrollar el rechazo actúa como riesgo competitivo. Mediante una simulación se comparan el estimador de Kaplan-Meier y el modelo de decrementos múltiples.

Resultados

El método de Kaplan-Meier sobrestima el riesgo de rechazo. A continuación, se expone la aplicación del modelo de decrementos múltiples para el análisis de acontecimientos secundarios (en el ejemplo, la muerte tras el rechazo). Finalmente, se discuten las asunciones propias del método de Kaplan-Meier y las razones por las que no puede ser aplicado en presencia de riesgos competitivos.

Conclusiones

El análisis de supervivencia debe ajustarse por los riesgos competitivos de muerte para evitar la sobrestimación del riesgo de fallo que se produce con el método de Kaplan-Meier.

Palabras clave:
Análisis de supervivencia
Kaplan-Meier
Modelo de decrementos múltiples
Riesgos competitivos
Trasplante cardíaco
Abstract
Objective

To show the impact of competing risks of death on survival analysis.

Method

We provide an example of survival time without chronic rejection after heart transplantation, where death before rejection acts as a competing risk. Using a computer simulation, we compare the Kaplan-Meier estimator and the multiple decrement model.

Results

The Kaplan-Meier method overestimated the probability of rejection. Next, we illustrate the use of the multiple decrement model to analyze secondary end points (in our example: death after rejection). Finally, we discuss Kaplan-Meier assumptions and why they fail in the presence of competing risks.

Conclusions

Survival analysis should be adjusted for competing risks of death to avoid overestimation of the risk of rejection produced with the Kaplan-Meier method.

Key words:
Survival analysis
Kaplan-Meier
Multiple decrement model
Competing risks
Heart transplantation
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Copyright © 2004. Sociedad Española de Salud Pública y Administración Sanitaria
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