Journal ArticleDOI
A graph-aided method for planning two-level experiments when certain interactions are important
Chien-Fu Wu,Youyi Chen +1 more
TLDR
In this paper, a graph-aided method is proposed to solve the problem of fractional factorial factorial experiment planning, where prior knowledge may suggest that some interactions are potentially important and should therefore be estimated free of the main effects.Abstract:
In planning a fractional factorial experiment prior knowledge may suggest that some interactions are potentially important and should therefore be estimated free of the main effects. In this article, we propose a graph-aided method to solve this problem for two-level experiments. First, we choose the defining relations for a 2 n–k design according to a goodness criterion such as the minimum aberration criterion. Then we construct all of the nonisomorphic graphs that represent the solutions to the problem of simultaneous estimation of main effects and two-factor interactions for the given defining relations. In each graph a vertex represents a factor and an edge represents the interaction between the two factors. For the experiment planner, the job is simple: Draw a graph representing the specified interactions and compare it with the list of graphs obtained previously. Our approach is a substantial improvement over Taguchi's linear graphs.read more
Citations
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Journal ArticleDOI
Bound on the maximum number of clear two-factor interactions for 2n-(n-k) designs
TL;DR: In this paper, the authors improved the construction method for 2n-(n-k) designs of resolution III in [2] and showed that the modified method is a great improvement on that used in [3].
Book ChapterDOI
Experimental and robust design
TL;DR: The complexity of business problems, organizations, operational and service systems, the number of variables they involve, as well as the often chaotic environment to which they are subjected, make it difficult to use prior knowledge to construct and calibrate these systems.
Journal ArticleDOI
Graphical methods for comparing confounding in two or more designs
TL;DR: In this article, the authors discuss two graphical representations of design properties, and illustrate their application with two examples, and discuss how to use them to assess and compare candidate designs graphically.
Journal ArticleDOI
Construction of \( 2^{m - (m - k)}_{{\rm{III}}} \) Designs with the Maximum Number of Clear Two-factor Interactions
TL;DR: In this article, the maximum number of clear two-factor interactions in a design with concise grid representations was investigated. And it was proved that the resulting designs have more clear two factor interactions than those constructed by Tang et al.
References
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Book
Quality Engineering Using Robust Design
TL;DR: This book offers a complete blueprint for structuring projects to achieve rapid completion with high engineering productivity during the research and development phase to ensure that high quality products can be made quickly and at the lowest possible cost.
Journal ArticleDOI
The graph isomorphism disease
Ronald C. Read,Derek G. Corneil +1 more
TL;DR: The present state of the art of isomorphism testing is surveyed, its relationship to NP-completeness is discussed, and some of the difficulties inherent in this particularly elusive and challenging problem are indicated.
Journal ArticleDOI
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.
Minimum Aberration 2k-p Designs
Arthur Fries,William G. Hunter +1 more
TL;DR: The concept of resolution was introduced by Box and Hunter as discussed by the authors, who defined the resolution of a two-level fractional factorial design as the length of the shortest word in the defining relation.