Consider the following design:

Run A B C D E y 1 −1 −1 −1 −1 −1 65 2 1 −1 −1 −1 1 25 3 −1 1 −1 −1 1 30 4 1 1 −1 −1 −1 89 5 −1 −1 1 −1 1 25 6 1 −1 1 −1 −1 60 7 −1 1 1 −1 −1 70 8 1 1 1 −1 1 50 9 −1 −1 −1 1 1 20 10 1 −1 −1 1 −1 70 11 −1 1 −1 1 −1 80 12 1 1 −1 1 1 30 13 −1 −1 1 1 −1 60 14 1 −1 1 1 1 20 15 −1 1 1 1 1 40 16 1 1 1 1 −1 90

(a) What is the generator for column E?

(b) If ABE is confounded with blocks, run 16 goes in the block. Answer either − or +.

(c) The resolution of this design is .

(d) Find the estimates of the main effects and their aliases.