sample question second midterm solution
TRANSCRIPT
Open Problems Consider the following design:
Std A B C D E Y 1 -‐1 -‐1 -‐1 -‐1 -‐1 40 2 1 -‐1 -‐1 1 -‐1 10 3 -‐1 1 -‐1 1 +1 30 4 1 1 -‐1 -‐1 +1 20 5 -‐1 -‐1 1 1 +1 40 6 1 -‐1 1 -‐1 +1 30 7 -‐1 1 1 -‐1 -‐1 20 8 1 1 1 1 -‐1 30
a. The generator for column D is D = [a]. Answer either +generator or -‐generator. b. The generator for column E is E = [b]. Answer with a + or -‐ in front of the generator. c. A is aliased with the [c] two factor interaction. Answer with a + or -‐ in front of the interaction. d. The sum of squares for factor B is [d]. Give your answer to two decimal places e. If this design were folded over, the resolution of the combined design would be [e]. Answer in the form of a Roman numeral using the I and V keys. [a] : +ABC [b] : -‐BC [c] : -‐DE [d] : 50 [e] : V