Design And Analysis Of Experiments Chapter 8 Solutions Access
AB: (+1,-1,-1,+1,+1,-1,-1,+1) = +25-22-20+30+24-28-32+35 = (25-22=3; 3-20=-17; -17+30=13; 13+24=37; 37-28=9; 9-32=-23; -23+35=12) ✅
So ABC contrast = 14. This is the difference between Block 1 and Block 2? Let’s check block totals:
: Estimate main effects and interactions, accounting for blocking. design and analysis of experiments chapter 8 solutions
B: -25-22+20+30-24-28+32+35 = (-47+20=-27; -27+30=3; 3-24=-21; -21-28=-49; -49+32=-17; -17+35=18) ✅
C: -25-22-20-30+24+28+32+35 = (-47-20=-67; -67-30=-97; -97+24=-73; -73+28=-45; -45+32=-13; -13+35=22) ✅ B: -25-22+20+30-24-28+32+35 = (-47+20=-27
y = [25, 22, 20, 30, 24, 28, 32, 35]
(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)) -17+35=18) ✅ C: -25-22-20-30+24+28+32+35 = (-47-20=-67
: A (2^3) design with 2 replicates, each in 2 blocks. In replicate I, confound ABC; in replicate II, confound AB. Estimate all effects.