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
Taguchi Methods: Some Technical, Cultural and Pedagogical Perspectives
TL;DR: In this paper, the authors highlight the interplay of factors underlying the Taguchi controversy, including technical, cultural and even pedagogical factors, for the benefit of decision makers and quality practitioners in industry.
Journal ArticleDOI
General minimum lower order confounding designs: An overview and a construction theory
TL;DR: In this article, a construction theory for 2 n − m GMC designs with 33 N / 128 ≤ n ≤ 5 N / 16, where N = 2 n−m is the run size and n is the number of factors, for all N's and n's, via the doubling theory and SOS resolution IV designs.
Journal ArticleDOI
Split-lot designs: experiments for multistage batch processes
Robert W. Mee,Rodney L. Bates +1 more
TL;DR: A split-lot design balances the way in which the wafers are repartitioned at each stage in the experiment, and Taguchi refers to such experiments as multiway split-unit designs.
Journal ArticleDOI
Incorporating Prior Information in Optimal Design for Model Selection
Derek Bingham,Hugh A. Chipman +1 more
TL;DR: This article goes further than identification of effects, introducing a design criterion that seeks to maximize the ability to discriminate between models, based on the Hellinger distance between predictive distributions under competing models.
Journal ArticleDOI
On construction of general minimum lower order confounding 2n−m designs with N/4+1≤n≤9N/32
TL;DR: In this article, the MaxC2 design with n = N/4+1 is unique up to isomorphism and has general minimum lower order confounding (GMC) design.
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.