Table 3. Average type 1 error rates of the statistic for testing interaction between two genes with marginal effects at two genes consisting only rare variants with 5 traits over randomly selected 50,000 pairs of genes from the whole exome.

Sample Size	0.05	0.01	0.001
1000	0.0715	0.0152	0.0018
2000	0.0664	0.0133	0.0013
3000	0.0596	0.0105	0.0014
4000	0.0508	0.0098	0.0010
5000	0.0511	0.0106	0.0012