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
Minimum Aberration Fractional Factorial Designs With Large N
TL;DR: A new, compact graph is presented for solving regular design isomorphicism problems and the nauty program is used to solve the corresponding graph isomorphism problems.
Journal ArticleDOI
Split-Plot Fractional Designs: Is Minimum Aberration Enough?
TL;DR: In this article, a modified version of the maximum number of clear two-factor interactions design criterion was proposed for split-plot designs. But this criterion is not designed to distinguish among the different types of two-Factor interactions.
Journal ArticleDOI
Designing fractional two-level experiments with nested error structures
TL;DR: This paper proposed a general strategy to handle fractional two-level experiments with nested error structures, which aims to create error strata with sufficient numbers of contrasts to separate active effects from inactive effects.
Journal ArticleDOI
Blocked regular fractional factorial designs with maximum estimation capacity
Ching-Shui Cheng,Rahul Mukerjee +1 more
TL;DR: In this paper, the problem of constructing optimal blocked regular fractional factorial designs with maximum estimation capacity was considered and a finite projective geometric approach was used to obtain general results.
Journal ArticleDOI
Uniformity in factorial designs with mixed levels
TL;DR: Fang et al. as mentioned in this paper extended their results to asymmetric factorials by considering a so-called wrap-around L2-discrepancy to evaluate the uniformity of factorial designs.
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.