TABLE 2.

Sample size (N) and power for detection of significance level 10^–5 according to the $h_{mi}^2$ magnitude of the quantitative trait locus, considered as having a random effect: $N\approx \frac{{\left(Z_{\left(1-\frac{\mathrm{\alpha }}{2}\right)}+Z_{\left(1-\mathrm{\beta }\right)}\right)}^2(1-h^2)}{h_{mi}^2}$.

h2 = 0.30					h2 = 0.50
Z for β = 0.90	Z for α = 10–5	${\left({\mathbf{\text{Z}}}_{\left(\mathbf{1}-\frac{\mathrm{\alpha }}{\mathbf{2}}\right)}+{\mathbf{\text{Z}}}_{\left(\mathbf{1}-\mathrm{\beta }\right)}\right)}^{\mathbf{2}}$	${\mathbf{\text{h}}}_{\mathbf{m}i}^{\mathbf{2}}$	N	Z for β = 0.90	Z for α = 10–5	${\left({\mathbf{\text{Z}}}_{\left(\mathbf{1}-\frac{\mathrm{\alpha }}{\mathbf{2}}\right)}+{\mathbf{\text{Z}}}_{\left(\mathbf{1}-\mathrm{\beta }\right)}\right)}^{\mathbf{2}}$	${\mathbf{\text{h}}}_{\mathbf{m}i}^{\mathbf{2}}$	N
1.28	3.99	27.7729	0.001	19441	1.28	3.99	27.7729	0.001	13886
1.28	3.99	27.7729	0.005	3888	1.28	3.99	27.7729	0.005	2777
1.28	3.99	27.7729	0.01	1944	1.28	3.99	27.7729	0.01	1389
1.28	3.99	27.7729	0.05	389	1.28	3.99	27.7729	0.05	278
1.28	3.99	27.7729	0.1	194	1.28	3.99	27.7729	0.1	139
1.28	3.99	27.7729	0.2	97	1.28	3.99	27.7729	0.2	69
1.28	3.99	27.7729	0.3	65	1.28	3.99	27.7729	0.3	46