Table 3.

Type I error comparison for ordinal traits. τ-FBAT refers to our proposed test and FBAT the FBAT-GEE method.

		α = 0.05		α = 0.01		α = 0.001
#(family)	K	τ-FBAT	FBAT	τ-FBAT	FBAT	τ-FBAT	FBAT
200	3	0.043	0.044	0.009	0.009	0.001	0.001
	4	0.049	0.051	0.008	0.007	0.001	0.001
	5	0.059	0.062	0.013	0.010	<0.001	<0.001
	6	0.047	0.043	0.005	0.005	<0.001	<0.001
400	3	0.049	0.051	0.012	0.009	0.002	0.002
	4	0.055	0.054	0.009	0.011	0.001	0.001
	5	0.042	0.041	0.006	0.006	0.001	0.002
	6	0.045	0.045	0.006	0.008	0.001	0.001
600	3	0.036	0.038	0.006	0.006	<0.001	<0.001
	4	0.054	0.055	0.013	0.010	0.001	0.001
	5	0.061	0.055	0.005	0.009	0.001	<0.001
	6	0.038	0.038	0.006	0.007	<0.001	<0.001