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
Discussion on “Søren Bisgaard's contributions to Quality Engineering: Design of experiments”
TL;DR: In this paper, Vining devotes Section 4 to Bisgaard's 2000 Journal of Quality Technology article “The Design and Analytical Analysis of Experiment Design and Analysis of experiments: A Review of Soren Bisgaard contributions in the field of design of experiments.
Journal ArticleDOI
An Algebra for the Conditional Main Effect Parameterization
TL;DR: In this article, a comprehensive algebra for the conditional main effect (CME) parameterization system based on indicator functions is established, which facilitates the derivations of general partial aliasing relations for a wide variety of two-level designs.
Journal ArticleDOI
Construction of \( 2^{m - (m - k)}_{{\rm{III}}} \) Designs with the Maximum Number of Clear Two-factor Interactions
TL;DR: In this article, the maximum number of clear two-factor interactions in a design with concise grid representations was investigated. And it was proved that the resulting designs have more clear two factor interactions than those constructed by Tang et al.
Optimal Selection of Blocked Two-Level Fractional Factorial Designs
TL;DR: In this paper, the authors propose and study a method to select the best blocked two-level fractional factorial designs when some two-factor interactions are important and discuss how to search for the best designs according to this method.
Bridging the Gap Between Space-Filling and Optimal Designs Design for Computer Experiments
TL;DR: This dissertation explores different methodologies for combining two popular design paradigms in the field of computer experiments, which typically out-perform pure space-filling designs in terms of prediction variance and alphabetic efficiency, while maintaining comparability with pure optimal designs at small sample size.
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.