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A class of incomplete three level factorial designs useful for estimating the coefficients in a second degree graduating polynomial are described. The designs either meet, or approximately meet, the criterion of rotatability and for the most part can be orthogonally blocked. A fully worked example is included.
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Box et al. (Tue,) studied this question.
www.synapsesocial.com/papers/69dd6127ae7c4d5b29100ffa — DOI: https://doi.org/10.1080/00401706.1960.10489912
George E. P. Box
D. W. Behnken
Technometrics
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