Molecular Biology and Evolution, Vol 12, 319-333, Copyright © 1995 by Society for Molecular Biology and Evolution
T Sitnikova, A Rzhetsky and M Nei
We have compared statistical properties of the interior-branch and
bootstrap tests of phylogenetic trees when the neighbor-joining tree-
building method is used. For each interior branch of a predetermined
topology, the interior-branch and bootstrap tests provide the confidence
values, PC and PB, respectively, that indicate the extent of statistical
support of the sequence cluster generated by the branch. In phylogenetic
analysis these two values are often interpreted in the same way, and if PC
and PB are high (say, > or = 0.95), the sequence cluster is regarded as
reliable. We have shown that PC is in fact the complement of the P-value
used in the standard statistical test, but PB is not. Actually, the
bootstrap test usually underestimates the extent of statistical support of
species clusters. The relationship between the confidence values obtained
by the two tests varies with both the topology and expected branch lengths
of the true (model) tree. The most conspicuous difference between PC and PB
is observed when the true tree is starlike, and there is a tendency for the
difference to increase as the number of sequences in the tree increases.
The reason for this is that the bootstrap test tends to become
progressively more conservative as the number of sequences in the tree
increases. Unlike the bootstrap, the interior-branch test has the same
statistical properties irrespective of the number of sequences used when a
predetermined tree is considered. Therefore, the interior-branch test
appears to be preferable to the bootstrap test as long as unbiased
estimators of evolutionary distances are used. However, when the
interior-branch is applied to a tree estimated from a given data set, PC
may give an overestimate of statistical confidence. For this case, we
developed a method for computing a modified version (P'C) of the PC value
and showed that this P'C tends to give a conservative estimate of
statistical confidence, though it is not as conservative as PB. In this
paper we have introduced a model in which evolutionary distances between
sequences follow a multivariate normal distribution. This model allowed us
to study the relationships between the two tests analytically.
ORIGINAL ARTICLE
Interior-branch and bootstrap tests of phylogenetic trees
Institute of Molecular and Evolutionary Genetics, Pennsylvania State University.
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