Journal ArticleDOI
A graph-aided method for planning two-level experiments when certain interactions are important
Chien-Fu Wu,Youyi Chen +1 more
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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
2n-m designs with resolution III or IV containing clear two-factor interactions
Hegang Chen,A. S. Hedayat +1 more
TL;DR: In this paper, the existence of clear two-factor interactions in regular 2n−m designs with resolution III or IV was studied and a unified geometrical study of this problem was provided.
Journal ArticleDOI
A critical look at Taguchi's modelling approach for robust design
TL;DR: In this paper, the authors proposed a response model approach to reduce the output variation from the target (the desired output) by making the performance insensitive to noise, such as manufacturing imperfections, environmental variations and deterioration.
Optimal selection of single arrays for parameter design experiments
Chien-Fu Wu,Yu Zhu +1 more
TL;DR: In this paper, single arrays were proposed as an alternative to the inner-outer arrays advocated by Taguchi, and search methods were proposed to find "optimal" single arrays with run size 8, 16 and 32.
Journal ArticleDOI
Bounds on the maximum number of clear two‐factor interactions for 2m‐p designs of resolution III and IV
TL;DR: In this paper, the authors derived upper and lower bounds on the maximum number of clear two-factor inter-actions in 2m-p fractional factorial designs of resolution I1 and IV.
Journal ArticleDOI
A theory on constructing 2n-m designs with general minimum lower order confounding
TL;DR: For two-level factorial designs with n factors and n = 2 n−m runs subject to a restriction on (n, N ): 5N/16 + 1 ≤ n ≤ N − 1. as mentioned in this paper showed that every GMC design, up to isomorphism, consists of the last n columns of the saturated 2 (N −1)−(N − 1−n+m) design with Yates order.
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.