Extend results in Section 2.3.4 to the r × c factorial with n observations per cell.

a. Express the orthogonal decomposition of yijk to include main effects, interaction, and residual error.

b. Show how Pr generalizes from the matrix given in Section 2.3.4.

c. Show the relevant sum of squares decomposition in an ANOVA table that also shows the df values. (It may help you to refer to

(b) and

(c) in Exercise 3.13.)