1. For each of the following base factorial designs, specify the number of replicates required.
(i) 23 with signal-to-noise ratio speci?ed as ρSN = 1.5
(ii) 22 with signal-to-noise ratio speci?ed as ρSN = 1.5
(iii) 22 with signal-to-noise ratio speci?ed as ρSN = 2.0
(iv) 24 with signal-to-noise ratio speci?ed as ρSN = 1.5
2. A factorial experiment is to be designed to study the effect on reaction yield of temperature x1 at 180? C and 240? C in conjunction with Pressure at 1 atm and 2 atm. Obtain a design in terms of the original variables with three full replicates.