Adjusted-crude-incidence analysis of multiple treatments and unbalanced samples on competing risks

In this paper, we discuss adjusted cumulative incidence in multiple treatment groups with unbalanced samples. In a nonrandomized experiment or an observational study, the observed data may be unbalanced in covariates when multiple treatments are administered differently based on patients' characteristics. In the case of multiple survival outcomes, clinical researchers are often interested in estimating the cumulative incidence within a specific treatment group, and this approach is subject to a potential bias with unbalanced samples. Using extensive simulation analyses, we demonstrate that a naive approach to the estimation of a cumulative incidence curve may yield misleading results, unless patients' characteristics are fully considered. To achieve an unbiased estimation from unbalanced data, we propose an adjusted cumulative incidence based on the inverse probability of a treatment weighting. In a series of simulations, the proposed method shows robust performance when estimating cumulative incidence under various scenarios, including balanced and unbalanced samples. Lastly, we explain how to apply the proposed method using an example based on real data.