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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Journal ArticleDOI
Split-plot designs with general minimum lower-order confounding
TL;DR: In this paper, the GMC-FFSP criterion is extended to the split-plot design case and compared with the MA-MSA-FFP criterion for ranking splitplot designs, and the optimal 32-run splitplot design up to 14 factors under the two criteria are tabulated for comparison and application.
Journal ArticleDOI
Some projective properties of fractional factorial designs
TL;DR: In this article, the projection properties of the 2 R n − m fractional factorial design into any k dimensions (k ⩽ R ) are well known, but there is no further discussion on the projections of such designs into any dimensions which are larger than R.
Journal ArticleDOI
An effective algorithm for generation of factorial designs with generalized minimum aberration
TL;DR: This paper provides a formal optimization treatment on optimal designs with generalized minimum aberration for fractional factorial designs and develops new lower bounds and optimality results for resolution-III designs.
Journal ArticleDOI
A trigonometric approach to quaternary code designs with application to one-eighth and one-sixteenth fractions
TL;DR: In this paper, the authors focus on one-eighth and one-sixteenth fractions of two-level factorials and show that optimal quaternary codes have larger generalized resolution and projectivity than comparable regular designs.
Journal ArticleDOI
Designing Optimal Large Four-Level Experiments: A New Technique Without Recourse to Optimization Softwares
A. M. Elsawah,A. M. Elsawah +1 more
TL;DR: In this article, a new technique that can overcome these defects of the existing techniques is presented, and the results demonstrated that the proposed technique outperformed the current techniques in terms of construction simplicity, computational efficiency and achieving satisfactory results capability.
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.