The rotatable central composite design. It can be shown that a second-order design is rotatable if if

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The rotatable central composite design. It can be shown that a second-order design is rotatable if 

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 if a or b (or both) are odd and if

Show that for the central composite design these conditions lead to α = (nF)1/4' for rotatability, where nF. is the number of points in the factorial portion.

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