Statistical inference methods for cumulative incidence function curves at a fixed point in time

Competing risks data arise frequently in clinical trials. When the proportional subdistribution hazard assumption is violated or two cumulative incidence function (CIF) curves cross, researchers may be interested in focusing on a comparison of clinical utility at some fixed time points rather than comparing the overall treatment effects. This article extends a series of tests constructed based on a pseudo-value regression technique or different transformation functions for CIFs and their variances based on Gaynor’s or Aalen’s work, and the differences among CIFs at a given time point are compared.