TABLE 4.

The power of the two-stage independent design for the sample sizes of in the first stage and in the second stage

	ɛ = 0	ɛ = 0.005	ɛ = 0.01	ɛ = 0.03
Dominant
p = 0.05	0.950	0.950	0.950	0.950
p = 0.20	0.950	0.950	0.950	0.950
p = 0.70	0.092	0.084	0.071	0.051
Recessive
p = 0.05	0.000	0.000	0.000	0.000
p = 0.20	0.933	0.925	0.902	0.830
p = 0.70	0.950	0.950	0.950	0.950
Multiplicative
p = 0.05	0.833	0.767	0.678	0.593
p = 0.20	0.950	0.950	0.950	0.950
p = 0.70	0.950	0.950	0.950	0.950
Additive
p = 0.05	0.950	0.949	0.946	0.933
p = 0.20	0.950	0.950	0.950	0.950
p = 0.70	0.950	0.950	0.950	0.946

The significance level for the two-stage design is α = 5 × 10⁻⁸, and the power in the pooling stage is 1 − β₁ = 95%. Dominant model, , ; recessive model, , ; multiplicative model, , , ; additive model, , , . The number of pools formed for either the cases or the controls is .