Optimal foldover plans of asymmetric factorials with minimum wrap-around L2-discrepancy View Full Text


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Article Info

DATE

2017-02-28

AUTHORS

Zujun Ou, Hong Qin

ABSTRACT

Literatures reveal that foldover is a useful technique in construction of factorial designs. The objective of this paper is to study the issue of employing the uniformity criterion measured by the wrap-around L2-discrepancy to assess the optimal foldover plans for asymmetric fractional factorials. A general foldover strategy and combined design under a foldover plan are developed for asymmetric fractional factorials, some theoretical properties on the equivalence between the defined foldover plan and its complementary foldover plan are discussed. A new lower bound for the wrap-around L2-discrepancy of combined designs is obtained, which can be used as a benchmark for searching optimal foldover plans. Moreover, it also provides a theoretical justification for optimal foldover plans in terms of uniformity criterion. More... »

PAGES

1-18

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URI

http://scigraph.springernature.com/pub.10.1007/s00362-017-0892-x

DOI

http://dx.doi.org/10.1007/s00362-017-0892-x

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1084021113


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