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
An Evaluation of Estimation Capacity Under the Conditional Main Effect Parameterization
TL;DR: In this article, a necessary and sufficient condition for a model consisting of all of the main effects and a selection of CMEs to be estimable in a regular two-level design of resolution at least III is established.
Journal ArticleDOI
Design of experiments as expansible sequences of orthogonal blocks with crossed-classification block effects
TL;DR: In this paper, the authors consider the confounding of orthogonal blocks in two-level fractional factorial experiments caused by blocking, and propose strategies for designing experiments as expansible sequences of orthographic blocks under conditions of crossed-classification block effects of differing types.
Journal ArticleDOI
Bounds on the Maximum Number of Factors in Designs with Two Distinct Groups of Factors
Peng Zeng,Yu Zhu,Kevin T. Phelps +2 more
TL;DR: In this paper, a new word-length pattern is proposed to characterize the aliasing severity of a design, and the concepts of resolution and aberration are defined accordingly, and various bounds on the maximum number of factors that a design with given resolution can accommodate.
Journal ArticleDOI
Reverse Foldovers for Blocked 2 m−k Fractional Factorial Designs
TL;DR: In this article, the reverse foldover problem for two-level regular fractional factorial designs was considered and a simple sufficient condition was derived for a 2(m+p)−(p+k)-blockable version of the problem.
Journal ArticleDOI
Alternative optimal foldover plans for regular fractional factorial split-plot designs
Mike Jacroux,Bonni Kealy-Dichone +1 more
TL;DR: McLeod and Brewster as mentioned in this paper considered the construction of optimal foldover plans for regular fractional factorial split plot designs, based on the minimum aberration criterion for both the initial design and the combined design derived through the foldover.
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.