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
2n-m designs with resolution III or IV containing clear two-factor interactions
Hegang Chen,A. S. Hedayat +1 more
TL;DR: In this paper, the existence of clear two-factor interactions in regular 2n−m designs with resolution III or IV was studied and a unified geometrical study of this problem was provided.
Journal ArticleDOI
Efficient Designs With Minimal Aliasing.
TL;DR: This article constructs exact designs that minimize the squared norm of the alias matrix subject to constraints on design efficiency and uses the method for the construction of screening and response surface designs.
Journal ArticleDOI
Optimal blocking of two-level fractional factorial designs
Runchu Zhang,Dongkwon Park +1 more
TL;DR: In this article, the minimum aberration criterion is extended for choosing blocked fractional factorial designs, and the concept of alias pattern is introduced to calculate the number of alias relations for any pair of orders of treatment and block effects.
Posted Content
Recent Developments in Nonregular Fractional Factorial Designs
TL;DR: In this paper, a review of recent developments in optimality criteria and comparison of non-regular fractional factorial designs is presented, including projection properties, generalized resolution, various generalized minimum aberration criteria, optimality results, construction methods and analysis strategies.
Journal ArticleDOI
Space-Filling Fractional Factorial Designs
Yong-Dao Zhou,Hongquan Xu +1 more
TL;DR: In this article, the authors studied the space-filling properties of fractional factorial designs under two commonly used space filling measures, discrepancy and maximin distance, and derived several novel relationships between distance distribution and generalized word length pattern.
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.