Consider a 16-run fractional factorial split-plot design with three whole-plot factors A, B, and C, and four sub-plot factors P, Q, R, and S.

(a) What degree of fractionation would you use in the whole plots and why?

(b) Based on your answer to

(a) how many whole plots would be required?

(c) How many sub-plots per whole plot, and what degree of fractionation would be required in the sub-plot design?

(d) Can you create the design using FrF2? If so, show the commands to do it.

(e) Show the alias pattern up to three-factor interactions for the design you created.

(f) From the design you created, list the eects that must be tested with whole-plot error and those that must be tested with sub-plot error.