Small asymmetric fractional factorial plans for main effects and specified two-factor interactions
نویسندگان
چکیده
منابع مشابه
Optimal Fractional Factorial Plans for Asymmetric Factorials
Fractional factorial plans for asymmetric factorial experiments are obtained. These are shown to be universally optimal within the class of all plans involving the same number of runs under a model that includes the mean, all main effects and a specified set of two-factor interactions. Finite projective geometry is used to obtain such plans for experiments wherein the number of levels of each o...
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A commonly used follow-up experiment strategy involves the use of a foldover design by reversing the signs of one or more columns of the initial design. De ning a foldover plan as the collection of columns whose signs are to be reversed in the foldover design, this article answers the following question: Given a 2kp design with k factors and p generators, what is its optimal foldover plan? We ...
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This paper considers two-level orthogonal arrays that allow joint estimation of all main effects and a set of prespecified two-factor interactions. We obtain some theoretical results that provide a simple characterization of when such designs exist, and how to construct them if they do. General as well as concrete applications of the results are discussed.
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This note builds on results from Wu, Mee and Tang‘s (2012) article (henceforth WMT) on admissible fractional factorial two-level designs, specifically concentrating on the “dominating designs” that have been introduced but not further pursued in WMT. WMT’s work has been used for increasing the efficiency of the author’s graph-based algorithm for creation of minimum aberration designs that keep ...
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Non-regular two-level fractional factorial designs, such as Plackett–Burman designs, are becoming popular choices in many areas of scientific investigation due to their run size economy and flexibility. The run size of nonregular two-level factorial designs is a multiple of 4. They fill the gaps left by the regular twolevel fractional factorial designs whose run size is always a power of 2 (4, ...
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ژورنال
عنوان ژورنال: Metrika
سال: 2005
ISSN: 0026-1335,1435-926X
DOI: 10.1007/s001840400353