Fig. 1.

Performance comparison of D-MANOVA, MDMR and PERMANOVA (999 permutations) based on simulations. Bray-Curtis distance was used. (a) Scatter plots comparing the P-values of D-MANOVA and PERMANOVA on the log scale under the null (H₀) and alternative (H₁). (b) Power comparison at sample sizes 100, 200 and 500. Simulation was averaged over 1000 runs. (c) Runtime comparison at varying sample sizes ($n=50,100,\dots ,6400,12800$). Runtimes were averaged over three repetitions. The computation was performed under R v3.3.2 on an iMAC (3.2 GHz Intel Core i5, 32 GB 1600 MHz DDR3, EI Capitan v10.11.5)