When p-values are computed for each quartet using
quartetTreeTestInd
or quartetStarTestInd
,
multiple comparisons are being done for one dataset. The
Holm-Bonferroni method HolmBonf79MSCquartets adjusts these p-values upward,
controlling the familywise error rate. The probability
of at least one false discovery (rejection of the null hypothesis)
is no more than the significance level.
The Holm-Bonferroni method does not require that test hypotheses are independent, which
is important for its application to quartet counts presumed to have arisen on a single
species tree.
This can be a low power test (often failing to reject when the null hypothesis is false).
In particular for the T1 and T3 tests, it does not consider the relationships between edge
lengths for different sets of four taxa.
Warning: Output of this function should not be used as input for other
MSCquartets functions, as it reorders the quartets in the table.