Consider the situation where there are J = 3 groups of subjects. Answer the following
questions:
a. Construct a set of orthogonal contrasts and show that they are orthogonal.
b. Construct a set of contrasts for Dunnett's test (use group 1 as the reference group).
Are these contrasts orthogonal? Why?
c. Construct a set of contrasts for pairwise comparisons. Are these contrasts orthogonal? Why?
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