To assess the statistical power of analysis, we have also used more standard power calculations. The program PS v2.1.31 [132] a) α = 0.05, b) sample sizes equal to the numbers of pools from the current dataset, c) mean abuser/control differences of 0.05 and 0.1 and d) standard deviations from the SNPs that provided the largest differences between control and abuser population are used in several of the discussions below. We have also used data from the Genetic Power Calculator (http://pngu.mgh.harvard.edu/~purcell/gpc/) for some analyses.