Table 2. Power of common gene-based rare variant tests and novel combined tests across select settings.

			Power
			Single tests				Combined tests
Total number of variants	Number of risk increasing variants (RRa)	Number of risk decreasing variants (RRa)	CMC	SKAT	SKAT-O	J(∞)	CT6: Min(p)	CT6: Fisher's	CT7: Min(p)	CT7: Fisher's	CT8: Min(p)	CT8: Fisher's
64 Variants in the gene	32 (2)	0	1	1	1	0.99	1	1	1	1	1	1
	16 (2)	0	0.85	0.97	0.988	0.926	0.988	0.994	0.99	0.996	0.986	0.984
	8 (2)	0	0.346	0.786	0.774	0.784	0.82	0.872	0.808	0.866	0.798	0.83
	4 (2)	0	0.122	0.416	0.338	0.548	0.506	0.52	0.44	0.428	0.504	0.502
	2 (2)	0	0.086	0.368	0.304	0.5	0.454	0.462	0.424	0.408	0.472	0.466
	1 (2)	0	0.1	0.392	0.322	0.514	0.488	0.53	0.442	0.432	0.478	0.496
32 Variants in the gene	16 (2)	0	0.986	0.99	0.996	0.944	0.996	0.998	0.994	0.996	0.994	0.996
	8 (2)	0	0.632	0.8	0.816	0.772	0.83	0.88	0.82	0.872	0.812	0.824
	4 (2)	0	0.206	0.546	0.526	0.602	0.602	0.622	0.574	0.586	0.584	0.596
	2 (2)	0	0.194	0.49	0.446	0.59	0.51	0.56	0.51	0.504	0.548	0.574
	1 (2)	0	0.132	0.494	0.426	0.58	0.554	0.58	0.52	0.528	0.536	0.558
32 Variants in the gene	24 (1.1)	8 (0.5)	0.066	0.322	0.266	0.22	0.256	0.214	0.268	0.212	0.266	0.29
	18 (1.1)	6 (0.5)	0.082	0.336	0.25	0.234	0.234	0.188	0.242	0.2	0.248	0.288
	12 (1.1)	4 (0.5)	0.05	0.184	0.134	0.134	0.122	0.114	0.126	0.108	0.154	0.164
	6 (1.1)	2 (0.5)	0.074	0.16	0.12	0.152	0.108	0.104	0.118	0.108	0.126	0.148
	3 (1.1)	1 (0.5)	0.074	0.152	0.126	0.144	0.132	0.13	0.136	0.122	0.138	0.146
64 Variants in the gene	48 (1.1)	16 (0.5)	0.108	0.518	0.418	0.248	0.348	0.302	0.362	0.35	0.364	0.392
	36 (1.1)	12 (0.5)	0.068	0.404	0.322	0.24	0.3	0.27	0.312	0.288	0.302	0.314
	24 (1.1)	8 (0.5)	0.052	0.254	0.208	0.19	0.2	0.162	0.204	0.174	0.214	0.232
	12 (1.1)	4 (0.5)	0.048	0.134	0.116	0.116	0.1	0.11	0.102	0.108	0.126	0.132
	6 (1.1)	2 (0.5)	0.07	0.086	0.07	0.086	0.078	0.078	0.072	0.08	0.07	0.088
	3 (1.1)	1 (0.5)	0.05	0.1	0.078	0.11	0.078	0.078	0.08	0.066	0.092	0.104

Bold indicates tests that are within 5% of optimal for single tests or within 5% of optimal for combined tests.

^aRR=Relative risk of causal variants.