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Optimal fractional factorial designs for estimating interactions of one factor with all others: 3m Series
Authors:Timothy C. Krehbiel  Donald A. Anderson
Affiliation:1. Department of Decision Sciences , Miami University , 311 Upham Hall, Oxford, OH, 45056;2. Department of Statistics , University of Wyoming , P.O. Box 3332, Laramie, WY, 82071
Abstract:In some experimental situations, only one factor is expected to interact with other factors. Designs which permit estimation of all main effects and the interactions of one factor ‘With All Others’, are termed WAO designs. This paper discusses the existence and construction of sm WAO designs. A series of WAO designs are presented for the 3m factorial, for m = 6, 7, ... , 14. The p non-negligible effects are estimable in 9f? runs, where f? is the smallest integer such that 9f? ≥p. These designs are determinant optimal within the class of parallel flats fractions and, except for the case f? = 9, are new. They are ideally suited for sequential experiments.
Keywords:fractional factorials  sequential designs  parallel flats fractions  determinant optimal  trace optimal  resolution III
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