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:
Actually, let's structure properly:
If you have specific problem numbers from your textbook, I can provide the exact step‑by‑step solutions.
So ABC contrast = 14. This is the difference between Block 1 and Block 2? Let’s check block totals:
ABC: confounded with block — contrast is the block difference. ABC contrast = (+1,-1,-1,+1,-1,+1,+1,-1)?? Wait, sign pattern for ABC = A B C = (1): +++ → +1; a: +-- → -1; b: -+- → -1; ab: --+ → +1; c: -++ → -1; ac: +-+ → +1; bc: ++- → +1; abc: --- → -1. So ABC: +1, -1, -1, +1, -1, +1, +1, -1.
Order: (1), a, b, ab, c, ac, bc, abc.
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) ✅
