Suppose that youwant to design an experiment for nine continuous two-level factors but you can only afford
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Suppose that youwant to design an experiment for nine continuous two-level factors but you can only afford 12 runs.
A co-worker suggests that you should choose 9 columns of the 11 columns from the 12-run Plackett–Burman design.
(a) How many possible designs are there?
(b) Are all of the designs from part
(a) the same? Or does it matter which subset of the 11 columns of the Plackett–Burman design you choose?
(c) Construct a D-optimal design for this problem. Should this design be one of the possible choices you identified in part (a)?
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