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
Minimum-aberration two-level fractional factorial split-plot designs
Derek Bingham,Randy R. Sitter +1 more
TL;DR: In this paper, the authors introduce an algorithm that constructs the set of all non-isomorphic two-level fractional factorial split-plot designs more efficiently than existing methods.
Minimum moment aberration for nonregular designs and supersaturated designs
TL;DR: In this paper, a new combinatorial criterion, called minimum moment aberration, is proposed for assessing the goodness of nonregular designs and supersaturated designs, which is a good surrogate with tremendous computational advantages for many statistically justified criteria, such as minimum G2-aberrration, generalized minimum aberration and E(s2).
Journal ArticleDOI
A note on generalized aberration in factorial designs
Chang-Xing Ma,Kai-Tai Fang +1 more
TL;DR: In this paper, the generalized word length pattern and minimum generalized aberration for non-regular factorials were extended to include uniformity and uniformity in the Blackett and Burman's designs.
Journal ArticleDOI
Minimum aberration and model robustness for two-level fractional factorial designs
TL;DR: In this article, the performance of minimum aberration two-level fractional factorial designs is studied under two criteria of model robustness, i.e., the number of aliases of main effects and the sum of squares of the sizes of alias sets of two-factor interactions.
Book ChapterDOI
Ch. 4. Uniform experimental designs and their applications in industry
Kai-Tai Fang,Dennis K.J. Lin +1 more
TL;DR: In this paper, the authors introduce the theory and method of the uniform design and related data analysis and modelling methods, and apply it to industry and other areas, including space filling.
References
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Book
Applications of Statistics to Industrial Experimentation
TL;DR: In conclusion, the size of Industrial Experiments, Fractional Replication--Elementary, and Incomplete Factorials are found to be about the same as that of conventional comparison experiments.
Journal ArticleDOI
Applications in Statistics to Industrial Experimentation.
F. N. David,C. Daniel +1 more
TL;DR: Incomplete Factorials, Fractional Replication, Intermediate Factorial, and Nested Designs as discussed by the authors are some of the examples of incomplete Factorial Experiments and incomplete fractional replicates.