Table 7.3.

Simulation results comparing our approach with LL’s approach in the sibling study with a binary outcome and a binary exposure. Sample sizes are for achieving a nominal power 90% to detect different effect sizes relative risks (p₁/p₀) at 0.05 significance level for different correlations ρ. Risk p₀ is fixed at 0.1 and ψ₀ = 0.5. Empirical powers are based on the quasi-score test.

		Our approach		LL’s approach		“Actual”
RR	ρ	m	Power (%)	m	Power(%)	m	Power (%)
2.5	0.10	395	90.04	388	89.47	395	90.04
	0.15	373	89.83	366	89.59	374	90.10
	0.20	351	89.82	345	89.11	351	89.82
3.0	0.10	180	90.16	176	89.53	179	89.99
	0.15	170	90.22	166	89.48	169	90.06
	0.20	160	90.55	157	89.81	158	89.95
3.5	0.10	104	89.58	102	89.57	105	89.87
	0.15	99	90.11	96	88.80	99	90.11
	0.20	93	90.19	91	89.70	92	89.88
4.0	0.10	68	89.12	66	88.11	70	89.89
	0.15	65	90.12	63	89.23	65	90.12
	0.20	61	90.37	59	89.50	61	90.37