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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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A characterization of strong orthogonal arrays of strength three
Yuanzhen He,Boxin Tang +1 more
TL;DR: In this article, the authors presented a simple characterization for strong orthogonal arrays of strength three, which is more direct and penetrating in terms of revealing the structure of strong Orthogonal Arrays.
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Theory of optimal blocking of nonregular factorial designs
Mingyao Al,Runchu Zhang +1 more
TL;DR: In this paper, the authors present a survey of the characteristics of positive and negative relationships between the two groups: + + +++ ++ + + -+ -+ + - + + −+ - + - - + − + - − + − − − -+ − + + − - + − − − − + ǫ + Â + ͡ ͠ ͒ ͞ ͜ ͚ ͔ ͐ ͘ ͝ ͓ ͑
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The Existence of Mixed Orthogonal Arrays with Four and Five Factors of Strength Two
TL;DR: In this article, the authors investigated the mixed orthogonal arrays with four and five factors of strength two, and proved that the necessary conditions of such mixed OO arrays are also sufficient with several exceptions.
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Optimal main effect plans in blocks of small size
Mausumi Bose,Sunanda Bagchi +1 more
TL;DR: In this paper, a universally optimal main effect plan (MEP) for an s s experiment on s 2 ( s - 1 ) / 2 nonorthogonal blocks of size two each, s a power of 2.
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On the existence of nested orthogonal arrays
TL;DR: A nested orthogonal array is an OA(N,k,s,g) which contains a subarray M(k,r, g) as aSubarray as a sub array.
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.