5. Create a 27????3 IV design in the SAS data step with generators E = ABC, F = ABD, G = ACD.

(a) Determine the dening relation for this design.

(b) Determine the confounded strings of two-factor interactions that can be estimated from this design.

(c) Suppose that after the analysis of data from this experiment, the signi-

cant eects appear to be B, BC +AE +FG and BE +AC +DG. What foldover fraction would you recommend in order to determine which spe-

cic interactions are causing the two strings of confounded interactions to appear signicant.

(d) List the experiments in the foldover fraction you recommend in part (c).