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Some properties of foldover designs with column permutations

Author

Listed:
  • Po Yang

    (University of Manitoba)

  • William Li

    (Shanghai Jiao Tong University)

Abstract

Traditional foldover designs are obtained by changing the signs of some columns of an initial design. Li and Lin (Technometrics 58:508–512, 2016) proposed to further improve foldover designs by allowing column permutations. To deal with computational challenges in obtaining the optimal foldover with column permutations, we explore some theoretical properties of such designs. Using the indicator function approach, we investigate under what circumstances can a foldover design be improved by doing column permutations. Several types of permutations are found to be particularly effective for this purpose.

Suggested Citation

  • Po Yang & William Li, 2019. "Some properties of foldover designs with column permutations," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 82(6), pages 705-717, August.
    • Handle: RePEc:spr:metrik:v:82:y:2019:i:6:d:10.1007_s00184-018-0702-z
    DOI: 10.1007/s00184-018-0702-z
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    References listed on IDEAS

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    1. Arman Sabbaghi & Tirthankar Dasgupta & C. F. Jeff Wu, 2014. "Indicator functions and the algebra of the linear-quadratic parameterization," Biometrika, Biometrika Trust, vol. 101(2), pages 351-363.
    2. Po Yang & Chang-Yun Lin & William Li, 2015. "Blocked semifoldovers of two-level orthogonal designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 78(5), pages 529-548, July.
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