Suppose that you need to design an experiment for five factors. You are interested in the main
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Suppose that you need to design an experiment for five factors. You are interested in the main effects of all factors, but only the AB and AC factor interactions.
(a) How many runs are required for this experiment?
(b) Construct a D-optimal design with the minimum number of runs. What are the relative variances of the model parameters?
(c) Construct an I-optimal design with the minimum number of runs. What are the relative variances of the model parameters? How does this design compare to the D-optimal design you constructed in part (b)?
(d) Construct an I-optimal design with 12 runs. How does this design compare to the minimum-run design from part (c)?
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