Testing some hypotheses on Human Evolution and sexual dimorphism

Research on human evolution and sexual dimorphism motivates an interesting test problem. In studying hominid phylogeny it is of interest to test whether parallel evolution plays a role. With regard to sexual dimorphism it is of interest to know whether the directions of sexual dimorphism in the populations being compared are the same. We show that testing these two problems gives rise to the same type of hypothesis testing, viz. the problem of testing the hypothesis that the means of independent, normally distributed random vectors with unit covariance matrices are situated on a straight line through the origin. A test is proposed and applied to study the sexual dimorphism of 20 recent skull populations. In this example the hypothesis of equal directions of sexual dimorphism is rejected. The classical theory of constructing multiple discriminant functions (canonical variates) is adapted to the problem of comparing sexual dimorphisms.     

Affinity,hominid evolution and Creationism. New computer methods weaken the Creationists' position

Using samples of skulls of early and modern hominids and modern pongids we compare the plausibility of Evolutionist and Creationist viewpoints. Multivariate methods are used to assess the corollary of Creationism that all fossil specimens which Evolutionists consider to be hominids are either apes or humans. We conclude that the results of this study cannot easily be accommodated within a Creationist framework, and, therefore, contribute substantial evidence for the Evolutionist viewpoint.