this prior on genotype frequencies with the multinomial likelihood gives the Dirichlet posterior Dir(v + n), in an obvious notation. The conjugate prior under the null, Dir(w) with w = (w1 , . . . wk) follows in an analogous fashion (and is a prior on allele frequencies) to give the posterior Dir(w + m), where m = (m1 , . . . , mk) and mi=2nii+∑j>inij.
