Inference for competing risks based on area between curves statistics

arXiv (Cornell University)

Abstract

In competing risks models, cumulative incidence functions are commonly compared to infer differences between groups. Many existing inference methods, however, struggle when these functions cross during the time frame of interest. To address this problem, we investigate a test statistic based on the area between cumulative incidence functions. As the corresponding limiting distribution depends on quantities that are typically unknown, we propose a wild bootstrap approach to obtain a feasible and asymptotically valid two-sample test. The finite sample performance of the proposed method, in comparison with existing methods, is examined in an extensive simulation study.

Authors 4

1. Simon Mack Aachen Institute of Statistics

   RWTH Aachen University

   Affiliation as printed

   Institute of Statistics , RWTH Aachen University , Aachen , Germany

2. Marc Ditzhaus

   Otto-von-Guericke-Universität Magdeburg

   Affiliation as printed

   Faculty of Mathematics , Otto von Guericke University Magdeburg , Magdeburg , Germany

3. Merle Munko

   Otto-von-Guericke-Universität Magdeburg

   Affiliation as printed

   Faculty of Mathematics , Otto von Guericke University Magdeburg , Magdeburg , Germany

4. Markus Pauly

   TU Dortmund University

   Affiliation as printed

   Department of Statistics , TU Dortmund University , Dortmund , Germany

   Research Center Trustworthy Data Science and Security , UA Ruhr , Germany