Table 3.

Estimated Type I error rates, Power, Accuracy and Positive Predictive Value (corresponding to 5000 simulations with 50 parent-child pairs per simulation) with nominal significance level α = 0.05 under Multiplex Ascertainment for 4 test statistics. ‘Percent Young’ is the level of enrichment of young pairs. For all rows, the ages of onset for the parent and child are generated from (T_P, T_C) ~ BVN (55, 55,100,100,0) (Type I Error) or BVN (55,45,100,100,0.0) (Power). The parameters associated with the ascertainment distributions are c₁ and (d₁, d₂) as described in Section 2, with c₁ ~ Unif(80,90), and d₁, d₂ ~ Unif(20, 30). 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.

Percent Young	t-test	HV1	RY12	RY22	t-test	HV1	RY12	RY22
	Type I Error				Power
0.1	0.975	0.066	0.049	0.061	1.000	0.989	0.776	0.953
0.3	0.999	0.060	0.046	0.064	1.000	0.973	0.685	0.900
0.5	1.000	0.068	0.052	0.068	1.000	0.926	0.563	0.796
0.7	1.000	0.102	0.048	0.053	1.000	0.848	0.391	0.536
0.9	1.000	0.160	0.052	0.020	1.000	0.745	0.201	0.079
	Accuracy				Positive Predictive Value
0.1	0.513	0.962	0.864	0.946	0.506	0.937	0.941	0.940
0.3	0.501	0.957	0.820	0.918	0.500	0.942	0.937	0.934
0.5	0.500	0.929	0.756	0.864	0.500	0.932	0.915	0.921
0.7	0.500	0.873	0.672	0.742	0.500	0.893	0.891	0.910
0.9	0.500	0.796	0.575	0.523	0.500	0.823	0.794	0.798

¹Huang and Vieland [1997]

²Rabinowitz and Yang [1999]