Suppose that you must design an experiment to investigate six continuous factors. It is thought that running

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Suppose that you must design an experiment to investigate six continuous factors. It is thought that running all factors at two levels is adequate but that only the AB, AC, and AD two-factor interactions are of interest.

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

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

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