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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
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Binary Operations on Orthogonal Models, Application to Prime Basis Factorials and Fractional Replicates
TL;DR: In this paper, the authors used Commutative Jordan algebras (CJA) for the study of orthogonal models either simple or derived through model crossing and model nesting.
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Minimal Second Order Saturated Designs and Their Applications to Space-Filling Designs
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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.
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Three-level and mixed-level orthogonal arrays for lean designs
TL;DR: In this paper, the authors investigate 3-level lean designs and mixed level lean designs, and construct tables for such designs for convenient use, which are obtained by removing some specific rows and columns from the extended design matrix formed from an orthogonal array, so that the resulting sub-matrix still allows efficient estimation of the effects of some of the factors.
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Gene expression studies with DGL global optimization for the molecular classification of cancer
TL;DR: A generic approach to cancer classification based on gene expression monitoring by DNA microarrays is proposed and applied to two test cancer cases, colon and leukemia, and an automatically derived class predictor makes the reliable cancer classification and accurate tumor diagnosis in clinical practice possible.
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.