I am having problems understanding what is orthogonality, its relationship to sums of squares (thus it impact in the rest of the inferential statistics) and the benefit of orthogonal factors.

I don't understand either how the degrees of freedom are computed in Repeated Measures(seems to be K-1, N-1).

Finally, when you say in the review guide "Multiple Comparison Procedures", do you mean the epsilon adjustments of df used for correction of violation of sphericity?