Journal ArticleDOI
Minimum Aberration 2 k–p Designs
Arthur Fries,William G. Hunter +1 more
TLDR
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.Abstract:
For studying k variables in N runs, all 2 k–p designs of maximum resolution are not equally good. In this paper the concept of aberration is proposed as a way of selecting the best designs from those with maximum resolution. Algorithms are presented for constructing these minimum aberration designs.read more
Citations
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Journal ArticleDOI
Experimental design
TL;DR: Experimental design is reviewed here for broad classes of data collection and analysis problems, including: fractioning techniques based on orthogonal arrays, Latin hypercube designs and their variants for computer experimentation, efficient design for data mining and machine learning applications, and sequential design for active learning.
Journal ArticleDOI
Taguchi's parameter design: a panel discussion
Bovas Abraham,Jock MacKay,George E. P. Box,Raghu N. Kacker,Thomas J. Lorenzen,James M. Lucas,Raymond H. Myers,G. Geoffrey Vining,John A. Nelder,M. S. Phadke,Jerome Sacks,William J. Welch,Anne C. Shoemaker,Kwok L. Tsui,Shin Taguchi,C. F. Jeff Wu,Vijayan N. Nair +16 more
TL;DR: A group of practitioners and researchers discuss the role of parameter design and Taguchi's methodology for implementing it and the importance of parameter-design principles with well-established statistical techniques.
Journal ArticleDOI
Generalized minimum aberration for asymmetrical fractional factorial designs
Hongquan Xu,C. F. J. Wu +1 more
TL;DR: In this paper, a generalized minimum aberration criterion for comparing asymmetrical fractional factorial designs is proposed, which is independent of the choice of treatment contrasts and thus model-free.
Journal ArticleDOI
Experimental Design: Review and Comment
TL;DR: In this article, the authors review major developments in the design of experiments, offer their thoughts on important directions for the future, and make specific recommendations for experimenters and statisticians who are students and teachers of experimental design.
Journal ArticleDOI
A catalogue of two-level and three-level fractional factorial designs with small runs
TL;DR: In this paper, the algebraic structure of fractional factorial (FF) designs with minimum aberration is explored and an algorithm for constructing complete sets of FF designs is proposed.
References
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Journal ArticleDOI
Selection of Defining Contrasts in Two-Level Experiments-A Modification
TL;DR: A modification is given to the algorithm published in 1976 for selecting defining contrasts in two‐level experiments.
Journal ArticleDOI
An Upper Bound of Resolution in Symmetrical Fractional Factorial Designs
TL;DR: In this paper, the authors obtained an improvement of the Plotkin's upper bound for the minimum weight in linear codes and showed that the maximum resolution of any linear code design satisfies the following upper bound.