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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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Quality improvement in the manufacture of liquid crystal displays using uniform design
Ling-Yau Chan,Man-Leung Lo +1 more
TL;DR: In this paper, a successful application of uniform design in the manufacture of liquid crystal dsplays was reported, in which the information obtained from the experiment resulted in a significant improvement of the percentage yield of the process.
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An algorithmic approach to constructing mixed-level orthogonal and near-orthogonal arrays
Nam-Ky Nguyen,Min-Qian Liu +1 more
TL;DR: A combinatorial relationship between a mixed-level array and a non-resolvable incomplete block design (IBD) with varying replications (and its dual, a resolvable IBD with varying block sizes) is shown.
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Connections between uniformity and aberration in general multi-level factorials
TL;DR: In this paper, the second-order polynomials of indicator functions for these three discrepancies were investigated and the relationship between them and the generalized wordlength pattern was investigated, and conditions under which a design having one of these minimum discrepancies is equivalent to having generalized minimum aberration (GMA).
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Binary operations and canonical forms for factorial and related models
TL;DR: Binary operations on commutative Jordan algebras are used to extend the grouping of treatments in blocks and the taking of fractional replicates to models where factors have arbitrary number of levels as mentioned in this paper.
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Lower bounds of various criteria in experimental designs
TL;DR: In this paper, lower bounds of various criteria in experimental designs will be reviewed according to methodology of their construction, including most well-known ones which are frequently used as benchmarks for orthogonal array, uniform design, supersaturated design and other types of designs.
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.