Question: Set up a 4 III 74 design using D = AB, E = AC, F = BC, and G = ABC as the design generators.

Set up a 4_III^7–4 design using D = AB, E = AC, F = BC, and G = ABC as the design generators. Ignore all interactions above two factors.

(a) Verify that each main effect is aliased with three two-factor interactions.

(b) Suppose that a second 4_III^7–4 design with generators D = –AB, E = –AC, F = –BC, and G = ABC is run. What are the aliases of the main effects in this design?

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