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Journal ArticleDOI

A graph-aided method for planning two-level experiments when certain interactions are important

Chien-Fu Wu, +1 more
- 01 May 1992 - 
- Vol. 34, Iss: 2, pp 162-175
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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.

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Citations
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Journal ArticleDOI

Some results on blocked regular 2-level fractional factorial designs with clear effects

TL;DR: In this article, the authors derived upper and lower bounds on the maximum number of clear main effects and two-factor interactions in 2 m - p : 2 l designs with resolution III, IV and V.
Journal ArticleDOI

2(n1+n2)-(k1+k2) Fractional factorial split-plot designs containing clear effects

TL;DR: In this article, the existence of FFSP designs with clear factorial effects was investigated from the viewpoint of clear factor effects, including two types of main effects and three types of 2FIs.

Compromise plans with clear two-factor interactions

TL;DR: In this article, the existence and characteristics of clear compromise plans of classes one to four are studied and a catalog of the clear compromise plan of 32 and 64 runs is given, under the weak assumption that all three-factor and higher order interactions are negligible.
Journal ArticleDOI

Mixed variable optimization using Taguchi's orthogonal arrays

TL;DR: In this paper, the authors used Taguchi's orthogonal arrays for robust design in a nontraditional way to solve a mixed continuous-discrete structural optimization problem, where the factors of an Orthogonal array correspond to the members of a structure and the levels of each factor correspond to material choices of each member.
DissertationDOI

Aplicação das técnicas de planejamento e análise de experimentos na melhoria da qualidade de um processo de fabricação de produtos plásticos.

TL;DR: In this article, the authors propose a method to solve the problem of "uniformity" and "uncertainty" in the context of data mining, and propose a solution.
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

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, +1 more
- 01 Nov 1980 - 
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

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.