Looking at the false discovery rate (Fig. 2d), we could confirm recent findings that ANCOM and ANCOM-BC show increased numbers of false-positive results, especially in the low-sample setting17,18. Also, the standard Dirichlet-Multinomial model showed an average false discovery rate at almost twice the nominal level of 0.05. Only scCODA, ALDEx2, and the ALR-transformed statistical tests were able to accurately control for the false discovery rate in all scenarios. Of these methods, scCODA showed the best sensitivity (true positive rate; Fig. 2e) by a large margin. A more detailed look at the results in terms of effect size and the number of cell types is shown in (Supplementary Figs. 1–3).