Population structure and history have similar effects on the genetic divers
ity at all neutral loci. However, some marker loci may also have been stron
gly influenced by natural selection. Selection shapes genetic diversity in
a locus-specific manner. If we could identify those loci that have responde
d to selection during the divergence of populations, then we may obtain bet
ter estimates of the parameters of population history by excluding these lo
ci. Previous attempts were made to identify outlier loci from the distribut
ion of sample statistics under neutral models of population structure and h
istory. Unfortunately these methods depend on assumptions about population
structure and history that usually cannot be verified. In this article, we
define new population-specific parameters of population divergence and cons
truct sample statistics that are estimators of these parameters. We then us
e the joint distribution of these estimators to identify outlier loci that
may be subject to selection. We found that outlier loci are easier to recog
nize when this joint distribution is conditioned on the total number of all
elic states represented in the pooled sample at each locus. This is so beca
use the conditional distribution is less sensitive to the values of nuisanc
e parameters.