A geneticist phenotypes n unrelated people at each of m loci with codominant alleles and records a vector i = (i1/i∗

1,...,im/i∗

m) of genotypes for each person. Because phase is unknown, i cannot be resolved into two haplotypes. The data gathered can be summarized by the number of people ni counted for each genotype vector i. Let njk be the number of alleles of type k at locus j observed in the sample, and let nh be the total number of heterozygotes observed over all loci. Assuming genetic equilibrium, prove that the distribution of the counts {ni} conditional on the allele totals {njk} is Pr({ni}|{njk}) =

 n

{ni}



2nh

m j=1  2n

{njk }

 . (4.10)

The moments of the distribution (4.10) are computed in [24]; just as with haplotype count data, all allele frequencies cancel.