I presented a poster at the tenth Bay Area Population Genetics meeting based on my work with Dr. Noah Rosenberg on the mathematical properties of the H12 and H2/H1 statistics. The H12 statistic is a haplotype homozygosity statistic used to identify regions of the genome under positive selection, and the H2/H1 statistic is used to distinguish whether the candidate region under selection shows signatures of a hard versus soft sweep. In our paper, Noah and I show that there is an upper bound for H2/H1 as a function of the corresponding H12 value. We apply this upper bound to data and show that it can help facilitate the interpretation of H12 and H2/H1 measured in heterogenous data sets with varying sample sizes and missing data rates.
Here is a copy of my poster: