Table 6.

Estimated power of the tests under Setting 3, where n is the sample size and $\eta$ indicates the order of taxon

		None	Rarefaction	TSS	CSS	Omnibus
$n=500$	$\eta =14$	0.975	0.965	0.966	0.719	0.966
	$\eta =15$	0.921	0.905	0.910	0.647	0.909
	$\eta =16$	0.880	0.864	0.871	0.591	0.871
$n=400$	$\eta =14$	0.947	0.929	0.930	0.655	0.931
	$\eta =15$	0.897	0.881	0.886	0.607	0.883
	$\eta =16$	0.833	0.824	0.828	0.493	0.830
$n=300$	$\eta =14$	0.894	0.875	0.881	0.563	0.876
	$\eta =15$	0.824	0.812	0.819	0.470	0.820
	$\eta =16$	0.806	0.797	0.804	0.375	0.804

The two highest powers are in bold