9.31. Suppose that you must design an experiment to investigate nine continuous factors. It is thought that

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9.31. Suppose that you must design an experiment to investigate nine continuous factors. It is thought that running all factors at two levels is adequate but that all two-factor interactions are of interest.

(a) How many runs are required to estimate all main effects and two-factor interactions?

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

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