Many phylogenetic analyses are inspired by or depend upon the monophyl
y of a group specified a priori. Also, many evolutionary problems for
which phylogenies are useful do not require every detail of the phylog
eny to be estimated correctly but depend upon the monophyly (or lack t
hereof) of a particular group. We propose a likelihood-ratio test that
compares whether the best trees estimated with and without the constr
aint of monophyly are significantly different. Simulation suggests tha
t the test is conservative when the null hypothesis (a particular spec
ified constraint) is correct. We applied the likelihood-ratio test of
monophyly to the question of the relationship of the presumed-extinct
marsupial wolf (Thylacinus). Specifically we examined the null hypothe
ses that (1) the marsupial wolf does not form a monophyletic group wit
h dasyurids and (2) the marsupial wolf is a basal member of the Austra
lian radiation of mammals. Both hypotheses were rejected using the lik
elihood-ratio test of monophyly.