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Generalized resolution and minimum aberration criteria for plackett-burman and other nonregular factorial designs
Lih-Yuan Deng,Boxin Tang +1 more
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TLDR
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.Abstract:
Resolution has been the most widely used criterion for comparing regular fractional factorials since it was introduced in 1961 by Box and Hunter. In this pa- per, we examine how a generalized resolution criterion can be defined and used for assessing nonregular fractional factorials, notably Plackett-Burman designs. Our generalization is intended to capture projection properties, complementing that of Webb (1964) whose concept of resolution concerns the estimability of lower order ef- fects under the assumption that higher order effects are negligible. Our generalized resolution provides a fruitful criterion for ranking different designs while Webb's resolution is mainly useful as a classification rule. An additional advantage of our approach is that the idea leads to a natural generalization of minimum aberration. Examples are given to illustrate the usefulness of the new criteria.read more
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Dissertation
New developments in designs for computer experiments and physical experiments
TL;DR: A new method for constructing “good” designs for computer experiments that allows orthogonal Latin hypercubes to be constructed for any run size n 6= 4k +2, and it is proved that an orthogonic Latin hypercube does not exist.
Journal ArticleDOI
Selection of partial replication on two‐level orthogonal arrays
Shin-Fu Tsai,Chen-Tuo Liao +1 more
TL;DR: In this paper, the authors proposed an extended minimum aberration (EMA) criterion for choosing the twice-replicated fractions of orthogonal main-effect plans (OMEPs).
Dissertation
Improving the practice of experimental design in manufacturing engineering
TL;DR: In this article, a simple method for generating its pattern is proposed, which can be linked to the three main criteria for measuring the degree of aliasing in a manner devoid of mathematical complications.
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Application of minimum projection uniformity criterion in complementary designs
Song Shuo,Qin Hong +1 more
TL;DR: In this paper, the authors considered the characterization problem of minimum projection uniformity for two-level designs in terms of their complementary designs, where the complementary design is defined as a design in which all the Hamming distances of any two runs are the same.
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Two-Level Supersaturated Designs: A Review
TL;DR: A review of the literature on two-level supersaturated designs can be found in this paper, where the focus is on the lower bound of the value of E(s 2 ), a measure of departure from orthogonality, and constructing designs that attain these lower bounds.
References
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Journal ArticleDOI
The design of optimum multifactorial experiments
R. L. Plackett,J. P. Burman +1 more
Journal ArticleDOI
A Basis for the Selection of a Response Surface Design
TL;DR: In this paper, the problem of choosing a design such that the polynomial f(ξ) = f (ξ1, ξ2, · · ·, ξ k ) fitted by the method of least squares most closely represents the true function over some region of interest R in the ξ space, no restrictions being introduced that the experimental points should necessarily lie inside R, is considered.
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The 2 k-p fractional factorial designs part I
George E. P. Box,J. S. Hunter +1 more
TL;DR: The 2 k-p Fractional Factorial Designs Part I. as discussed by the authors is a collection of fractional fractional factorial designs with a focus on the construction of the construction.
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Minimum Aberration 2 k–p Designs
Arthur Fries,William G. Hunter +1 more
TL;DR: In this article, the concept of aberration is proposed as a way of selecting the best designs from those with maximum resolution, and algorithms are presented for constructing these minimum aberration designs.