This thesis presents multivariate statistical theory from a ground up approach by developing univariate theory which leads us to the multivariate results that we seek. The main results of this thesis are aimed at developing theory based on sampling distributions which leads to the theory surrounding hypothesis testing. In order to get to that point, much theory is developed around normal distributions, chi-square distributions, and related distributions as well as a proof of the univariate and multivariate Central Limit Theorems. A chapter on principal component analysis delivers a look at a very different and interesting analysis technique than is presented in the previous chapters.
Ashmead, Robert, "Topics in Multivariate Statistical Theory" (2009). Senior Independent Study Theses. Paper 914.
Bachelor of Arts
Senior Independent Study Thesis
© Copyright 2009 Robert Ashmead