(a) [7 points] In your own words, describe the purpose of a factor screening experiment. Be sure to define– and comment on the relevance of – the Pareto principle and the principle of effect sparsity in this context.
(b) [7 points] In your own words, compare and contrast a 2K factorial experiment and a 2K−p fractional factorial experiment. With respect to their designs and analyses, comment on these experiments’ similarities and differences, as well as their advantages and disadvantages relative to one another.
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