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
Signal aliasing in Gaussian random fields for experiments with qualitative factors
TL;DR: An aliasing severity index is proposed to quantify the severity of signal aliasing for general factorial designs including nonregular ones and is found to be highly correlated with the prediction variance.
Journal ArticleDOI
A Bayesian approach to the selection of two-level multi-stratum factorial designs
TL;DR: In this article, the authors proposed a framework for Bayesian factorial designs for multi-stratum factorial design, which is applied to study optimal and efficient multistata factorial models.
Journal ArticleDOI
Lower-order confounding information of inverse Yates-order two-level designs
TL;DR: Based on the effect hierarchy principle, a good design should minimize the confounding among the lower-order effects as discussed by the authors, and it is important to obtain the confounding information of effects of a des...
Book ChapterDOI
Minimum Aberration and Related Criteria for Fractional Factorial Designs
Hegang Chen,Ching-Shui Cheng +1 more
TL;DR: In this paper, the authors present several criteria for choosing fractional factorial designs, including the popular criterion of minimum aberration, and the issue of optimal blocking of fractional Factorial designs was discussed in Section 13.8.3.4 of HK2.
Journal ArticleDOI
The Computerized Generation of Fractional‐replicate Designs Using Galois Fields and Hadamard Matrices
TL;DR: Algorithms to expedite the implementation of Galois fields and Hadamard matrices in generating important design classes, such as the fractional 2k Plackett–Burman and sk Addelman–Kempthorne designs are collated.
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.