Question: Consider the situation where there are J = 4 groups of subjects. Answer the following questions:
a. Construct a set of orthogonal contrasts and show that they are orthogonal.
b. Is the following contrast legitimate? Why or why not?
H0: μ.1 - (μ.2 + μ.3 + μ.4)
c. Using the same means, how might the contrast in part (b) be altered to yield a legitimate contrast?