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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Minimum secondary aberration fractional factorial split-plot designs in terms of consulting designs
Mingyao Ai,Runchu Zhang +1 more
TL;DR: In this paper, the authors obtained general and unified combinatorial identities that relate the secondary wordlength pattern of a regular symmetrical or mixed-level fractional factorial split-plot (FFSP) design to that of its consulting design.
Journal ArticleDOI
A theory on constructing blocked two-level designs with general minimum lower order confounding
TL;DR: In this paper, the authors present a theory on constructing optimal blocked designs under the blocked general minimum lower order confounding criterion, which is a new criterion for selecting blocked designs, using doubling theory and second order saturated design.
Journal ArticleDOI
Evaluation of inequivalent projections of Hadamard matrices of order 24
TL;DR: In this article, the authors give all the (combinatorially) inequivalent projections of inequivalent Hadamard matrices of order 24 into k=3,4 and 5 dimensions, as well as their frequencies.
Journal ArticleDOI
Optimal foldover plans for regular s-level fractional factorial designs
TL;DR: In this article, a general decomposition structure of the foldover plan is introduced for general regular s-level fractional factorial designs, where s is any prime or prime power, and the relationships between an initial design and its combined designs are studied.
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.