a. In a seven-factor experiment (A,..., G), suppose a quarter-replicate is actually carried out. If the defining effects are ABCDE and CDEFG, what is the third non-estimable effect, and what treatments are in the group containing (1)? What are the alias groups of the seven main effects?
b. If the quarter-replicate is to be carried out using four blocks (with eight treatments per block), what are the blocks if the chosen confounding effects are ACF and BDG?