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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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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Columnwise construction of response surface designs
TL;DR: In this article, the authors introduce an algorithm that works columnwise, that is, factor by factor, with an optimality criterion with respect to a specified model, and explore the properties and utility of this approach, comparing its solutions to those of other design algorithms in terms of D-optimality, design yield and level balance.
Journal ArticleDOI
A practical approach to optimize the coating parameters to win customer confidence
TL;DR: In this article, an investigation was carried out to find the near-optimum parametric combination of process variables in zinc coating with considerations of multiple performance characteristics to produce defect-fragments.
Interaction Graphs For A Two-Level Combined Array Experiment Design
S. Roy Chaudhury,H. F. Walker +1 more
TL;DR: An algorithm for developing all possible non-isomorphic interaction graphs for combined arrays is proposed for 2 k-p fractional factorial experiment planning.
Journal ArticleDOI
Grid representations for 2IVm-(m-k) join designs containing maximum number of clear two-factor interactions
Guijun Yang,Neil A. Butler +1 more
TL;DR: In this paper, the maximum number of clear 2FIs in a 2 IV m - (m - k ) design with k = 5, 6, 7 was shown. Butler and Nissim showed that the join designs of 2 IVm - ( m - k) designs have concise grid representations which provide simple interpretations of the 2FI.
Journal ArticleDOI
Asymmetrical split-plot designs with clear effects
TL;DR: In this paper, the necessary and sufficient conditions for the existence of resolution III or IV regular FFSP designs with clear main effects or two-factor interaction components are proved through constructing the corresponding designs, and some examples are provided to illustrate the construction methods.
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.