Table 3.

Empirical type I error of ABT under various scenarios and nominal levels

m	η	Nominal level = 0.01
		I	II	III	IV	V	VI	VII	VIII	IX
10	0.2	0.0105	0.0106	0.0093	0.0109	0.0100	0.0108	0.0087	0.0090	0.0099
	0.5	0.0112	0.0094	0.0102	0.0098	0.0115	0.0092	0.0108	0.0091	0.0087
	0.8	0.0111	0.0094	0.0096	0.0100	0.0083	0.0104	0.0087	0.0089	0.0083
50	0.2	0.0103	0.0089	0.0100	0.0090	0.0097	0.0109	0.0089	0.0091	0.0087
	0.5	0.0085	0.0104	0.0099	0.0106	0.0088	0.0083	0.0094	0.0080	0.0098
	0.8	0.0102	0.0092	0.0094	0.0089	0.0095	0.0080	0.0083	0.0089	0.0086
100	0.2	0.0092	0.0082	0.0083	0.0089	0.0087	0.0081	0.0097	0.0080	0.0089
	0.5	0.0088	0.0087	0.0082	0.0102	0.0085	0.0082	0.0086	0.0092	0.0098
	0.8	0.0087	0.0088	0.0090	0.0087	0.0096	0.0087	0.0085	0.0080	0.0085

m	η	Nominal level = 0.05
		I	II	III	IV	V	VI	VII	VIII	IX
10	0.2	0.0490	0.0512	0.0499	0.0499	0.0517	0.0509	0.0518	0.0473	0.0525
	0.5	0.0475	0.0495	0.0492	0.0487	0.0497	0.0497	0.0505	0.0504	0.0513
	0.8	0.0500	0.0484	0.0488	0.0521	0.0467	0.0513	0.0499	0.0474	0.0487
50	0.2	0.0510	0.0484	0.0497	0.0461	0.0476	0.0475	0.0468	0.0462	0.0473
	0.5	0.0483	0.0500	0.0465	0.0459	0.0478	0.0504	0.0472	0.0465	0.0484
	0.8	0.0487	0.0493	0.0486	0.0487	0.0482	0.0459	0.0480	0.0466	0.0468
100	0.2	0.0480	0.0487	0.0473	0.0474	0.0468	0.0475	0.0477	0.0466	0.0476
	0.5	0.0460	0.0460	0.0458	0.0501	0.0462	0.0462	0.0462	0.0482	0.0481
	0.8	0.0458	0.0479	0.0479	0.0481	0.0496	0.0465	0.0469	0.0490	0.0469

Note: Each entry represents type I error rate estimates defined as the proportion of p-values smaller than nominal under the null hypothesis based on 10,000 simulated genotype replicates. The large sample 95% CIs for norminals 0.01 and 0.05 are [0.0080, 0.0120] and [0.0457, 0.0543], respectively.