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Some new lower bounds to various discrepancies on combined designs

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  • Zujun Ou
  • Hong Qin
  • Kashinath Chatterjee

Abstract

The foldover is a useful technique in construction of two-level factorial designs. A foldover design is the follow-up experiment generated by reversing the sign(s) of one or more factors in the initial design. The full design obtained by joining the runs in the foldover design to those of the initial design is called the combined design. In this article, some new lower bounds of various discrepancies of combined designs, such as the centered, symmetric, and wrap-around L2-discrepancies, are obtained, which can be used as a better benchmark for searching optimal foldover plans. Our results provide a theoretical justification for optimal foldover plans in terms of uniformity criterion.

Suggested Citation

  • Zujun Ou & Hong Qin & Kashinath Chatterjee, 2017. "Some new lower bounds to various discrepancies on combined designs," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(7), pages 3244-3254, April.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:7:p:3244-3254
    DOI: 10.1080/03610926.2015.1060339
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    Cited by:

    1. Zujun Ou & Hongyi Li, 2021. "A new foldover strategy and optimal foldover plans for three-level design," Statistical Papers, Springer, vol. 62(5), pages 2433-2451, October.

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