Suppose that you must design an experiment to investigate seven continuous factors. Running all factors at two

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Suppose that you must design an experiment to investigate seven continuous factors. Running all factors at two levels is thought to be appropriate but that only the two-factor interactions involving factor A are of interest.

(a) How many runs are required to estimate all of the relevant effects?

(b) Find a minimum-run D-optimal design that is suitable for this problem.

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