10. Answer the following questions.

(a) Construct a 25−1 design, using the five-factor interaction as the generator effect, and give the set of

(25 − 2)/2 = 15 aliased pairs.

(b) Construct a 26−2 fractional factorial design using ABCE and BCDF as the generator effects. Give the third non-estimable effect and the set of (26 − 4)/4 = 15 groups of four aliased effects.

(c) Construct a 27−2 fractional factorial design using ABCDF and BCDEG as the generator effects, and give the third non-estimable effect. How many groups of four aliased effects are there? (You need not list them.)