Design And Analysis Of Experiments Chapter 8 Solutions May 2026
: A (2^3) design with 2 replicates, each in 2 blocks. In replicate I, confound ABC; in replicate II, confound AB. Estimate all effects.
y = [25, 22, 20, 30, 24, 28, 32, 35]
Effect B: Contrast = (-y_(1) - y_a + y_b + y_ab - y_c - y_ac + y_bc + y_abc) = (-25 -22 +20 +30 -24 -28 +32 +35) = (-47 +50=3 -24=-21 -28=-49 +32=-17 +35=18) → Wait, recalc carefully: design and analysis of experiments chapter 8 solutions
Better to compute systematically:
(A = (-1, +1, -1, +1, -1, +1, -1, +1) ) (B = (-1, -1, +1, +1, -1, -1, +1, +1)) (C = (-1, -1, -1, -1, +1, +1, +1, +1)) : A (2^3) design with 2 replicates, each in 2 blocks