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1. The two-way ANOVA, non-orthogonal case, has been a vexing problem for ANOVA researchers for many years. Please answer the following questions concerning the two-way non-orthogonal ANOVA.
a. Explain the meaning of the word non-orthogonal.
b. What condition(s) must exist for non-orthogonality to occur? Be specific.
c. Why is the non-orthogonal ANOVA more difficult than the orthogonal ANOVA?
d. What is a Type I effect for the main effects of A and B in terms of model comparisons?
e. What is a Type II effect for the main effects of A and B in terms of model comparisons?
f. What is a Type III effect for the mains effects of A and B in terms of model comparisons?
g. What assumption is made for a Type II effect or Type II means to be legitimate?
h. What assumption is made for a Type I effect or a Type I mean to be legitimate?
i. What is the equivalent problem in regression?
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