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

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9.32. 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 twofactor 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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