Table 3 .

Empirical type I error rate for common correlation structure when all ${\beta }_j=0,$ based on multivariate normal distribution

Sample size	No. traits	Trait correlation	Nominal type I error rate
			0.05	0.01
100	4	0.2	0.005	0.002
		0.5	0.006	0.001
		0.8	0.009	0.002
	10	0.2	0.015	0
		0.5	0.011	0
		0.8	0.014	0.003
500	4	0.2	0.003	0
		0.5	0.005	0.001
		0.8	0.011	0.001
	10	0.2	0.005	0.001
		0.5	0.003	0.001
		0.8	0.009	0.001
1000	4	0.2	0.005	0
		0.5	0.008	0
		0.8	0.004	0.001
	10	0.2	0.011	0.002
		0.5	0.012	0
		0.8	0.009	0.002