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Fractional Factorial Plans
Aloke Dey,Rahul Mukerjee +1 more
TLDR
Fractional plans and orthogonal arrays have been extensively studied in the literature, see as discussed by the authors for a survey of some of the most relevant works. But nonexistence of fractional plans has been discussed.Abstract:
Fractional Plans and Orthogonal Arrays. Symmetric Orthogonal Arrays. Asymmetric Orthogonal Arrays. Some Results on Nonexistence. More on Optimal Fractional Plans and Related Topics. Trend-Free Plans and Blocking. Some Further Developments. Appendix. References. Index.read more
Citations
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Journal ArticleDOI
Main-Effect Plans Orthogonal Through the Block Factor
TL;DR: There are situations when use of blocks may in fact be helpful in finding an OMEP with small run size, as shown in this article.
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Optimality results on orthogonal arrays plus p runs for sm factorial experiments
TL;DR: In this article, the optimality of designs obtained by adding p runs to an orthogonal array was studied for experiments involving m factors each at s levels, and the optimal optimality criterion used was the Type 1 criterion due to Cheng (1978) which is an extension of Kiefer (1975) universal optimality criteria.
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Nearly orthogonal arrays mappable into fully orthogonal arrays
TL;DR: This work develops a method for construction of arrays which are nearly Orthogonal, in the sense that each column is orthogonal to a large proportion of the other columns, and which are convertible to fully orthogonic arrays via a mapping of the symbols in each column to a possibly smaller set of symbols.
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Cross-Entropy Loss for Recommending Efficient Fold-Over Technique
TL;DR: This paper gives an in-depth look at fold-over techniques via the following four significant contributions: discussing the adjusted switching levels fold- over technique to overcome the limitation of the classical one, developing a new criterion to simplify the existing criteria from sequence to scalar, and establishing a general framework for the connections between initial designs and combined designs based on any fold-Over technique.
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An approach of constructing mixed-level orthogonal arrays of strength ≥ 3
Ling Jiang,Jianxing Yin +1 more
TL;DR: In this paper, a general "expansive replacement method" for constructing mixed-level orthogonal arrays of an arbitrary strength was established, and a positive answer to the question posed by Hedayat, Sloane and Stufken is given.
References
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Non-Orthogonal Designs of Even Resolution*
TL;DR: In this paper, it was shown that the smallest resolution 4 designs for n factors at two levels must contain at least 2n runs, and that "foldover" designs are available with 2 n runs.