Where can I find the assumptions for repeated measures ANCOVA, repeated measures MANCOVA, and repeated measures MANOVA? How can I verify them via SPSS?
This is a very complicated question which depends on a number of things. I would start with Timm, Neil H. and Tammy A. Mieczkowski, General Linear Models, SAS Institute. I would look in Chapters 3, 5, and 10. An alternative is Timm, Neil H., Applied Multivariate Analysis, Springer. The difficulty is the assumptions depend on how you model your data. I hope this helps. Wish you the best.
It is one the best books I have ever read. You can find the answer of your questions in chapters 10, 11, and 16 (ANOVA, ANCOVA, and MANOVA respectively).