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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Construction of some s-level regular designs with general minimum lower-order confounding
TL;DR: In this paper, a general minimum lower-order confounding (GMC) criterion has been proposed to choose the optimal regular designs, which minimize the confounding among lower order effects, based on an aliased component number pattern.
Journal ArticleDOI
Nonregular two-level designs of resolution IV or more containing clear two-factor interactions
Gui-Jun Yang,Neil A. Butler +1 more
TL;DR: In this paper, the concepts of clear effects, alias sets and grid representations are generalized to non-regular two-level designs, and theoretical results for the necessary and sufficient conditions under which there exist nonregular twolevel designs of resolution IV or more containing clear two-factor interactions are proved.
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Characterization of generalized aberration of some designs in terms of their complementary designs
TL;DR: In this paper, the authors generalize the concept of a pair of complementary designs D =(D⋮ D ) to the case that D is a U-type design and the Hamming distances between all pairs of runs are the same.
Journal ArticleDOI
Minimum aberration designs for discrete choice experiments
TL;DR: The use of minimum aberration blocked designs to construct DCEs with mixed-level attributes is proposed and some general theoretical results are developed.
Journal ArticleDOI
The main effect confounding pattern for saturated orthogonal designs
TL;DR: In this article, the authors proposed the main effect confounding pattern (MECP) for comparing projection designs based on saturated symmetric orthogonal designs, which provides more information about statistical performance in the classification for projection designs than the other criteria.
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.