I am looking for a freely available, mathematical description of the standard analysis of variance (several factors, one dependent variable). It should be self-contained and be readable by a person without any knowledge of statistics but a good background in mathematics and probability theory.
Almost all texts I find are either step-by-step instructions on example data-sets, heuristic outlines written for scientists from applied areas or they use a lot of statistical lingo to explain the concept (with only crippled math).
Ideally, the text would include a derivation of the F-distribution (why does it emerge in this setting?) and the F-test as well as the relation to regression.