Consider the following design:

Run A B C D E y 1 −1 −1 −1 −1 −1 63 2 1 −1 −1 −1 1 21 3 −1 1 −1 −1 1 36 4 1 1 −1 −1 −1 99 5 −1 −1 1 −1 1 24 6 1 −1 1 −1 −1 66 7 −1 1 1 −1 −1 71 8 1 1 1 −1 1 54 9 −1 −1 −1 1 −1 23 10 1 −1 −1 1 1 74 11 −1 1 −1 1 1 80 12 1 1 −1 1 −1 33 13 −1 −1 1 1 1 63 14 1 −1 1 1 −1 21 15 −1 1 1 1 −1 44 16 1 1 1 1 1 96

(a) What is the generator for column E?

(b) If ABC is confounded with blocks, run 1 above goes in the block. Answer either + or −.

(c) What is the resolution of this design?

(d) (8 pts) Find the estimates of the main effects and their aliases.