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Construction of Sudoku-based uniform designs with mixed levels

Author

Listed:
  • Li, Hongyi
  • Chatterjee, Kashinath
  • Li, Bo
  • Qin, Hong

Abstract

This paper considers the derivation of a new lower bound for the generalized discrete discrepancy of designs involving mixed level factors. Using mirror mapping and foldover techniques, a simple and efficient construction method of Sudoku-based mixed level uniform designs is proposed. Moreover, the properties of such Sudoku-based mixed level uniform designs are investigated.

Suggested Citation

  • Li, Hongyi & Chatterjee, Kashinath & Li, Bo & Qin, Hong, 2016. "Construction of Sudoku-based uniform designs with mixed levels," Statistics & Probability Letters, Elsevier, vol. 114(C), pages 111-118.
    • Handle: RePEc:eee:stapro:v:114:y:2016:i:c:p:111-118
    DOI: 10.1016/j.spl.2016.03.016
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    References listed on IDEAS

    as
    1. Xu Xu & BEN Haaland & Peter Z. G. Qian, 2011. "Sudoku-based space-filling designs," Biometrika, Biometrika Trust, vol. 98(3), pages 711-720.
    2. Fred J. Hickernell, 2002. "Uniform designs limit aliasing," Biometrika, Biometrika Trust, vol. 89(4), pages 893-904, December.
    3. Chatterjee, Kashinath & Li, Zhaohai & Qin, Hong, 2012. "Some new lower bounds to centered and wrap-round L2-discrepancies," Statistics & Probability Letters, Elsevier, vol. 82(7), pages 1367-1373.
    4. Hong Qin & Kai-Tai Fang, 2004. "Discrete discrepancy in factorial designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 60(1), pages 59-72, July.
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