On a Test of Depaulis and Veuille

Abstract
In a recent letter to this journal, Depaulis and Veuille (1998) discussed two possible tests of neutrality, the “haplotype number test” and the “haplotype diversity test.” They present in their tables 1 and 2 means and percentage points of the distribution of the number Kn of haplotypes and the sample heterozygosity Hn = 1 − , where are the relative frequencies of those haplotypes in a sample of size n for different values of the number of segregating sites s observed in the data. They assume a neutral infinitely-many-sites model of mutation with no recombination. These percentage points were found by repeatedly simulating a random coalescent tree with n tips, randomly distributing s mutations on the tree, and calculating the observed values of Kn and Hn. See Hudson (1990) for a description of how such simulations can be performed.

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