Table 1.

Type I Error Rates of Unadjusted and Robust Versions of Burden, SKAT, and SKAT-O and Hybrid Method

Case: Control	Burden	Robust Burden	SKAT	Robust SKAT	SKAT-O	Robust SKAT-O	Hybrid SKAT-O
$\alpha ={10}^{-2}$
1:1	1.00	1.00	0.99	0.99	1.11	1.11	1.09
1:9	0.99	1.00	1.01	1.01	1.13	1.13	1.09
1:49	1.02	0.95	1.44	1.22	1.44	1.23	1.27
1:99	1.07	0.91	1.92	1.41	1.82	1.33	1.53
$\alpha ={10}^{-4}$
1:1	1.02	1.00	0.99	1.03	1.27	1.32	1.27
1:9	1.12	0.99	1.39	1.14	1.65	1.40	1.52
1:49	2.43	0.97	6.31	1.65	6.16	1.79	4.54
1:99	3.95	1.02	13.48	2.13	12.77	2.17	8.89
$\alpha =2.5\times {10}^{-6}$
1:1	1.11	1.03	1.24	1.54	1.38	1.38	1.40
1:9	1.29	0.77	2.47	1.45	2.51	1.49	2.23
1:49	6.88	1.06	28.27	1.91	23.70	1.98	16.69
1:99	16.34	0.90	89.53	1.81	71.32	1.60	42.59

A total of 10⁷ datasets of 1 kb regions were generated to estimate type I error rates. Each cell represents an empirical type I error rate divided by significance level $\alpha$. The sample size was 50,000.