Table 2.

Estimated Type I error rates and Power (corresponding to 5000 simulations with 50 parent-child pairs per simulation) with nominal significance level α = 0.05 under Generalized Single Ascertainment for 4 test statistics. (T_P,T_C) are the respective ages of onset for the parent and child, with BVN the bivariate normal distribution with parameters (µ_pµ_c,σ_p,σ_c,ρ(T_p,T_c)). The ascertainment ages (C_P,C_C) are determined by c₁ ~ Unif (80, 90) and d₁, d₂ ~ Unif(20,30) as described in Section 2. Powers in bold come from tests which asymptotically fail to maintain nominal level of significance. Powers in italics come from tests which are asymptotically unbiased, but, due to small sample size, have Type I error rates significantly greater than 0.05.

(TP, TC)~	t-test	HV1	RY12	RY22
	Type I Error
BV N(55, 55, 100, 100, 0.0)	0.906	0.078	0.051	0.065
BV N(55, 55, 100, 100, 0.5)	0.653	0.049	0.051	0.063
BV N(55, 55, 100, 100, 0.7)	0.444	0.044	0.050	0.055
	Power
BV N(55, 50, 100, 100, 0.0)	0.994	0.635	0.330	0.521
BV N(55, 45, 100, 100, 0.0)	1.000	0.988	0.778	0.951
BV N(55, 50, 100, 100, 0.5)	1.000	0.799	0.633	0.834
BV N(55, 45, 100, 100, 0.5)	1.000	0.997	0.984	1.000
BV N(55, 50, 100, 100, 0.7)	1.000	0.931	0.854	0.968
BV N(55, 45, 100, 100, 0.7)	1.000	0.997	0.999	1.000

¹Huang and Vieland [1997]

²Rabinowitz and Yang [1999]