title: On statistical tests of phylogenetic tree imbalance: the Sackin and other indices revisited.
abstract: We investigate the distribution of statistical measures of tree imbalance in large phylogenies. More specifically, we study normalized versions of the Sackin's index and the number of subtrees of given sizes. Using the connection with structures from theoretical computer science, we provide precise description for the limiting distribution under the null hypothesis of Yule trees. Corrected p-values are then computed, and the statistical power of these statistics for testing the Yule model against a model of biased speciation is evaluated from simulations. As an illustration, the tests are applied to the HIV-1 reconstructed phylogeny.
authors.affiliation: TIMC-TIMB, Faculté de Médecine, F38706 La Tronche Cedex, France.
authors.forename: Michael G B
authors.initials: MG
authors.lastname: Blum
authors.forename: Olivier
authors.initials: O
authors.lastname: François
mesh_terms: D000163:Acquired Immunodeficiency Syndrome / Q000821:virology; D003198:Computer Simulation; D004279:DNA, Viral / Q000235:genetics; D003627:Data Interpretation, Statistical; D015497:HIV-1 / Q000235:genetics; D006801:Humans; D008957:Models, Genetic; D010802:Phylogeny
chemical_list: D004279:DNA, Viral