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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Optimal Foldover Plans for Two-Level Fractional Factorial Split-Plot Designs
TL;DR: The foldover technique is useful as a follow-up strategy when the objective is to de-alias effects of interest after the initial fractional factorial split-plot design has been run as discussed by the authors.
Journal ArticleDOI
New lower bound for Lee discrepancy of asymmetrical factorials
TL;DR: In this article, an improved lower bound of Lee discrepancy for asymmetrical factorials with mixed two-, three-and four-level is presented, which is more accurate for a lot of designs than other existing lower bounds.
Journal ArticleDOI
The factor aliased effect number pattern and its application in experimental planning
TL;DR: This paper introduces a criterion to rank the columns of a regular design and uses the criterion to GMC designs accordingly, and studies the mathematical properties of the new ranking practice and provides concrete guidance on assigning factors in someGMC designs.
Journal ArticleDOI
Uniformity in double designs
Yi-ju Lei,Hong Qin +1 more
TL;DR: In this paper, the problem of uniformity in two-level fractional factorial designs was studied and the centered L 2-discrepancy was employed as a measure for uniformity.
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Asymmetrical Factorial Designs Containing Clear Effects
TL;DR: In this article, the authors considered the clear effects criterion for selecting good asymmetric or mixed-level factorial designs and gave the complete classification of (s2)sn designs according to the clear 2fi components, main effects and 2fis they have.
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.