Test of hypothesis on the coefficient of coancestry in haploid populations

Abstract

The distribution of the allelic frequency mean squares in the analysis of variance of samples of individuals from haploid populations were studied to evaluate the Snedecor F test, for testing the null hypothesis relative to the coancestry coefficient. It was found that the distribution of the sum of the squares among populations and the sum of squares among individuals within the populations divided by the respective expected mean squares had distribution following approximately the χ², indicating that the quotient among the mean squares of the analysis of variance approximate the F distribution. A simulation study to validate the suggested approximations, comparing the simulated values to those of the theoretic F distribution, was carried out. The results showed that the F test may be used to test the coancestry coefficient null hypothesis, when the allelic frequency is between 0.3 and 0.7, working with 50 individuals.