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# Consider a 3^(5-2) design with D = ABC and E = A^2BC. (a) Find its defining contrast subgroup. What is the resolution?

Consider a 3^(5-2) design with D = ABC and E = A^2BC.

- (a) Find its defining contrast subgroup. What is the resolution?
- (b) There are 3^(2 -1) effects aliased with the main effect of A. Find them.
- (c) Find all the aliasing relations between main effects and two-factor interaction components (ignoring 3-factor interactions or higher).
- (d) Identify the clear main e↵ects and clear two-factor interaction component if they exist.