We repeated each of 10 simulations 100,000 times, where we had 1,000 individuals and 1050 SNPS with minor allele frequency (MAF)=0.5. We ran linear regressions between phenotypes and genotypes and then calculated TATES p-values. These simulations check both the false positive rate and calculate the proportion of times the p-value estimate for the TATES statistic exceeded the expected confidence interval. In 100,000 simulations, we expect that at most 5% of the count of the p-values < 0.05 among 1050 independent SNPs will be >64.