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65th Annual Meeting of the German Association for Medical Informatics, Biometry and Epidemiology (GMDS), Meeting of the Central European Network (CEN: German Region, Austro-Swiss Region and Polish Region) of the International Biometric Society (IBS)

06.09. - 09.09.2020, Berlin (online conference)

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Wild bootstrap confidence bands for the cumulative incidence function in Fine-Gray models

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  • Marina Dietrich - Vrije Universiteit Amsterdam, Amsterdam, Netherlands
  • Dennis Dobler - Vrije Universiteit Amsterdam, Amsterdam, Netherlands
  • Mathisca de Gunst - Vrije Universiteit Amsterdam, Amsterdam, Netherlands

Deutsche Gesellschaft für Medizinische Informatik, Biometrie und Epidemiologie. 65th Annual Meeting of the German Association for Medical Informatics, Biometry and Epidemiology (GMDS), Meeting of the Central European Network (CEN: German Region, Austro-Swiss Region and Polish Region) of the International Biometric Society (IBS). Berlin, 06.-09.09.2020. Düsseldorf: German Medical Science GMS Publishing House; 2021. DocAbstr. 127

doi: 10.3205/20gmds019, urn:nbn:de:0183-20gmds0198

Published: February 26, 2021

© 2021 Dietrich et al.
This is an Open Access article distributed under the terms of the Creative Commons Attribution 4.0 License. See license information at http://creativecommons.org/licenses/by/4.0/.

Outline

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We consider the Fine and Gray model in the competing risks setting with censoring-complete data. The goal is to construct confidence bands for the cumulative incidence function using the wild bootstrap. In order to verify the underlying theory we use elegant and general martingale arguments. Especially for small samples, the flexibility of the wild bootstrap procedure with possibly non-normal multipliers seems preferable over a Gaussian approximation because the latter is only aiming at the asymptotic distribution. The performance of the wild bootstrap confidence bands with respect to different types of multipliers and weight functions is empirically studied by means of simulations. In addition, we illustrate the developed method by investigating the impact of Pneumonia for intensive care unit patients on the probabilities of alive discharge competing with hospital death.

The authors declare that they have no competing interests.

The authors declare that an ethics committee vote is not required.