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1. Consider a 2⁴ factorial experiment. Using BC as the defining contrast, find the treatment combinations in a 2^4-1fractional 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 2^4-2 fractional factorial experiment. What is the alias structure now?

2. In a 2^5-2 fractional factorial experiment, using CDE and AB as the generators, find the treatment combinations. Find the aliases of the contrasts.

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