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First order rotatable designs incorporating differential neighbour effects from experimental units up to distance 2

Author

Listed:
  • Jitendra Kumar

    (ICAR-Indian Agricultural Statistics Research Institute)

  • Seema Jaggi

    (ICAR-Indian Agricultural Statistics Research Institute)

  • Eldho Varghese

    (ICAR-Central Marine Fisheries Research Institute)

  • Arpan Bhowmik

    (ICAR-Indian Agricultural Statistics Research Institute)

  • Cini Varghese

    (ICAR-Indian Agricultural Statistics Research Institute)

Abstract

In this paper, first-order response surface model incorporating neighbour effects from experimental units up to distance 2 has been discussed where experimental plots experience the neighbour effects from immediate left and right neighbouring units as well as from units at distance 2 assuming the plots are placed linearly without gaps. Conditions have been derived for the orthogonal estimation of the parameters of the model. A method of constructing designs for fitting first-order response surface model which ensures the constancy in the prediction variance after incorporating neighbor effects up to distance 2 has been developed and named as FORDDNE-2.

Suggested Citation

  • Jitendra Kumar & Seema Jaggi & Eldho Varghese & Arpan Bhowmik & Cini Varghese, 2020. "First order rotatable designs incorporating differential neighbour effects from experimental units up to distance 2," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(8), pages 923-935, November.
    • Handle: RePEc:spr:metrik:v:83:y:2020:i:8:d:10.1007_s00184-020-00762-6
    DOI: 10.1007/s00184-020-00762-6
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    References listed on IDEAS

    as
    1. R. E. L. Aldred & R. A. Bailey & Brendan D. Mckay & Ian M. Wanless, 2014. "Circular designs balanced for neighbours at distances one and two," Biometrika, Biometrika Trust, vol. 101(4), pages 943-956.
    2. Jitendra Singh Tomar & Seema Jaggi & Cini Varghese, 2005. "On totally balanced block designs for competition effects," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(1), pages 87-97.
    3. Norman R. Draper & Irwin Guttman, 1980. "Incorporating Overlap Effects from Neighbouring Units into Response Surface Models," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 29(2), pages 128-134, June.
    4. Seema Jaggi & Cini Varghese & V.K. Gupta, 2007. "Optimal Circular Block Designs for Neighbouring Competition Effects," Journal of Applied Statistics, Taylor & Francis Journals, vol. 34(5), pages 577-584.
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