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Optimal fractional factorial plans for main effects and specified two-factor interactions: A projective geometric approach. (English) Zbl 1016.62089

Summary: Finite projective geometry is used to obtain fractional factorial plans for \(m\)-level symmetrical factorial experiments, where \(m\) is a prime or a prime power. Under a model that includes the mean, all main effects and a specified set of two-factor interactions, the plans are shown to be universally optimal within the class of all plans involving the same number of runs.

MSC:

62K15 Factorial statistical designs
05B25 Combinatorial aspects of finite geometries
62K05 Optimal statistical designs
Full Text: DOI

References:

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[13] CLEVELAND, OHIO 44115
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