The distribution of the allelic frequency mean squares in the analysis of v
ariance of samples of individuals from haploid populations were studied to
evaluate the Snedecor F test, for testing the null hypothesis relative to t
he coancestry coefficient. It was found that the distribution of the sum of
the squares among populations and the sum of squares among individuals wit
hin the populations divided by the respective expected mean squares had dis
tribution following approximately the chi (2), indicating that the quotient
among the mean squares of the analysis of variance approximate the F distr
ibution. A simulation study to validate the suggested approximations, compa
ring the simulated values to those of the theoretic F distribution, was car
ried out. The results showed that the F test may be used to test the coance
stry coefficient null hypothesis, when the allelic frequency is between 0.3
and 0.7, working with 50 individuals.