Why review statistical tests of neutrality at a time when pan-selectio
nists and pan-neutralists alike seem to have been replaced by weak sel
ectionists? First, we still don't actually know how variation is maint
ained at the molecular level; and second, tests of neutrality have a u
tility for evolutionary biologists beyond the neutralist/selectionist
debate. New tests and variations on the existing tests are arising pra
ctically every month. From the complementary viewpoints of an empirici
st and a theoretician, we sample the recent literature on tests of sta
tistical neutrality and discuss the motivations, applications, assumpt
ions, interpretations and future directions of these tests.