Journal ArticleDOI
Minimum Aberration 2 k–p Designs
Arthur Fries,William G. Hunter +1 more
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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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sn−m Designs containing clear main effects or clear two-factor interactions
Mingyao Ai,Runchu Zhang +1 more
TL;DR: For a fixed number of runs, when can designs have clear main effects or clear two-factor interactions (in brief, 2fi's) as mentioned in this paper, where s is any prime or prime power.
Minimum aberration designs
TL;DR: In this article, the authors search for 128-run minimum aberration designs with k =6a ndk = 7, and combine theoretical understanding with intelligent computer search, both cases are solved.
Journal ArticleDOI
Two-Level Multifactor Designs for Detecting the Presence of Interactions
Max D. Morris,Toby J. Mitchell +1 more
TL;DR: In this paper, a design optimality criterion, tr (L)-optimality, is applied to the problem of designing two-level multifactor experiments to detect the presence of interactions among the controlled variables.
Journal ArticleDOI
A General Criterion for Factorial Designs Under Model Uncertainty
Pi Wen Tsai,Steven G. Gilmour +1 more
TL;DR: In this paper, the QB criterion, which aims to improve the estimation in as many models as possible by incorporating experimenters' prior knowledge along with an approximation to the As criterion, is presented.
Journal ArticleDOI
Minimum G2-aberration properties of two-level foldover designs
TL;DR: In this paper, the authors provided theoretical results on the construction of two-level fractional factorial designs with minimum G 2 -aberration for n = 24 runs and any m ⩽ n/2 factors.
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.