*Orthogonal contrasts (see Section 9.1.2): Consider the equation flF X(1 B relating the parameters flF...

*Orthogonal contrasts (see Section 9.1.2): Consider the equation flF ¼ X(1 B „

relating the parameters flF of the full-rank ANOVA model to the cell means „. Suppose that X(1 B is constructed so that its rows are orthogonal. Show that the columns of the row basis XB of the model matrix are also orthogonal and further that each column of XB is equal to the corresponding row of X(1 B divided by the sum of squared entries in that row. (Hint: Multiply X(1 B

by its transpose.)