In a fixed-effects model, suppose that there are n observations for each of four
Chapter 13, Problem 13-57(choose chapter or problem)
In a fixed-effects model, suppose that there are n observations for each of four treatments. Let Q2 1, Q2 2, and Q2 3 be single-degree-of-freedom sums of squares for orthogonal contrasts. A contrast is a linear combination of the treatment means with coefficients that sum to zero. The coefficient vectors of orthogonal contrasts are orthogonal vectors. Prove that SSTreatments Q2 1 Q2 2 Q2 3.
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