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
Generalized resolution for orthogonal arrays
Ulrike Grömping,Hongquan Xu +1 more
TL;DR: In this paper, the authors derived two versions of generalized resolution for qualitative factors, both of which are generalizations of the generalized resolution by Deng and Tang [Statist. Sinica 9 (1999) 1071-1082] and Tang and Deng [Ann. Statist. 27 (1999] 1914-1926].
Journal ArticleDOI
Some applications of indicator function in two-level factorial designs
TL;DR: In this paper, the indicator function has been used to study the properties of factorial designs and showed some applications of indicator functions in doubling design and uniformity pattern and further provided that the indicator functions is an effective tool in studying two-level factorial design.
Journal ArticleDOI
Minimal average degree aberration and the state polytope for experimental designs
TL;DR: In this article, a simple algorithm is given and bounds are derived for the criteria, which may be used to give asymptotic Nyquist-like estimability rates as model and sample sizes increase.
MINIMUM ABERRATION (S 2 )S n−k DESIGNS
Runchu Zhang,Qin Shao +1 more
TL;DR: In this paper, the authors extended the 4 m 2 n minimum aberration designs (MA designs) of Wu and Zhang (1993) to the case of (S 2 )S nk,w hereS is any prime or prime power.
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.