So ABC contrast = 14. This is the difference between Block 1 and Block 2? Let’s check block totals:
Thus, in this design, we cannot estimate ABC, ABD, or CD separately from block differences. When a design is replicated in blocks but different effects are confounded in different replicates, we have partial confounding . This allows estimation of all effects, but with reduced precision for the confounded ones. design and analysis of experiments chapter 8 solutions
: Estimate main effects and interactions, accounting for blocking. So ABC contrast = 14
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) ✅ in this design
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