This one is written for students. It is neither a mathematical treatise nor a cookbook. Instead of complicated mathematical proofs I have attempted to write a book about mathematical ideas. The result is a text that can be understood by students. A grasp of the fundamental ideas presented in this text will prepare the student for a much more thorough treatment of multivariate statistics in a later course.
Analysis of Variance is approached as a special case of multiple regression.
The goal is to provide a path from the simple case leading to the complex. The complex case is rarely presented in this text. The issues surrounding the complex case, however, will be familiar to any reader who masters this material. In the summer of 1996 I attended a four-week multivariate statistics course in Ann Arbor, Michigan. I knew that as much as I would like to teach my graduate statistics course in a similar manner, most of my students simply did not have the mathematical background to deal with a course of this level of difficulty.