1. Consider a 24 factorial experiment. Using BC as the defining contrast, find the treatment combinations in a 24-1fractional factorial experiment. Find the aliases of the contrasts. How would it be possible to estimate the effect of the contrast BC? If AD is used as a second defining contrast, determine the treatment combinations in a 24-2 fractional factorial experiment. What is the alias structure now?
2. In a 25-2 fractional factorial experiment, using CDE and AB as the generators, find the treatment combinations. Find the aliases of the contrasts.