Journal ArticleDOI
Projection properties of Plackett and Burman designs
Dennis K.J. Lin,Norman R. Draper +1 more
TLDR
The Plackett and Burman designs also have interesting projective properties, knowledge of which allows the experimenter to follow up an initial PLACKET and BurMAN design with runs that increase the initial resolution for the factors that appear to matter and thus permit efficient separation of effects of interest.Abstract:
The projection properties of the 2 R q–p fractional factorials are well known and have been used effectively in a number of published examples of experimental investigations. The Plackett and Burman designs also have interesting projective properties, knowledge of which allows the experimenter to follow up an initial Plackett and Burman design with runs that increase the initial resolution for the factors that appear to matter and thus permit efficient separation of effects of interest. Projections of designs into 2–5 dimensions are discussed, and the 12-run case is given in detail. A numerical example illustrates the practical uses of these projections.read more
Citations
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Journal ArticleDOI
Response Surface Methodology: A Retrospective and Literature Survey
Raymond H. Myers,Douglas C. Montgomery,G. Geoffrey Vining,Connie M. Borror,Scott M. Kowalski +4 more
TL;DR: This review paper focuses on RSM activities since 1989, and discusses current areas of research and mention some areas for future research.
Generalized resolution and minimum aberration criteria for plackett-burman and other nonregular factorial designs
Lih-Yuan Deng,Boxin Tang +1 more
TL;DR: In this paper, a generalized resolution criterion is defined and used for assessing non-regular fractional factorials, notably Plackett-Burman designs, which is intended to capture projection properties, complementing that of Webb (1964) whose concept of resolution concerns the estimability of lower order fractional fractional factors under the assumption that higher order effects are negligible.
Book
A Comprehensive Guide to Factorial Two-Level Experimentation
TL;DR: Fractional Factorial Design Examples: The basics of fractional factorial designs are discussed in detail in this article, where the authors present an analysis of full-factorial experiments with two-level factors.
Minimum moment aberration for nonregular designs and supersaturated designs
TL;DR: In this paper, a new combinatorial criterion, called minimum moment aberration, is proposed for assessing the goodness of nonregular designs and supersaturated designs, which is a good surrogate with tremendous computational advantages for many statistically justified criteria, such as minimum G2-aberrration, generalized minimum aberration and E(s2).
Book ChapterDOI
Ch. 4. Uniform experimental designs and their applications in industry
Kai-Tai Fang,Dennis K.J. Lin +1 more
TL;DR: In this paper, the authors introduce the theory and method of the uniform design and related data analysis and modelling methods, and apply it to industry and other areas, including space filling.
References
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Journal ArticleDOI
The design of optimum multifactorial experiments
R. L. Plackett,J. P. Burman +1 more
Journal ArticleDOI
Analysis of Designed Experiments with Complex Aliasing
Michael S. Hamada,Chien-Fu Wu +1 more
TL;DR: This paper presents a large number of designs of Plackett-Burman designs that have been used in screening experiments for identifying important main effects and some of them have been criticized for their complex aliasing patterns.
Journal ArticleDOI
Small Composite Designs
TL;DR: In this article, simple second-order composite designs for k = 5, 7, and 9 factors were proposed for the first time, with one run fewer than Westlake's design for K = 5 and 7 and three fewer for 9 factors.
Journal ArticleDOI
Discovery of an Hadamard matrix of order 92
TL;DR: In this paper, a Hadamard matrix H is an n by n matrix all of whose entries are + 1 or − 1 which satisfies HH = n J, H being the transpose of H.
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