Empirical powers for continuous response and randomized clinical trial (n = 100) using OmniK with 10 df, OmniK with 20 df, OmniK with 30 df and OmniK with full df. * The parameters of the Dirichlet-multinomial distribution were estimated using the Charlson et al’s upper-respiratory-tract microbiome data (30). * (A) is for linear relationship with main effects; (B) is for linear relationship with interaction effects; (C) is for linear relationship with both of main and interaction effects; (D) is for nonlinear discrete relationship with main effects; (E) is for nonlinear discrete relationship with interaction effects; (F) is for nonlinear discrete relationship with both of main and interaction effects. * P1–P5 represents a selected phylogenetic cluster.