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On totally balanced block designs for competition effects

Author

Listed:
  • Jitendra Singh Tomar
  • Seema Jaggi
  • Cini Varghese

Abstract

Competition between neighbouring units in field experiments is a serious source of bias. The study of a competing situation needs construction of an environment in which it can happen and the competing units have to appear in a predetermined pattern. This paper describes methods of constructing incomplete block designs balanced for neighbouring competition effects. The designs obtained are totally balanced in the sense that all the effects, direct and neighbours, are estimated with the same variance. The efficiency of these designs has been computed as compared to a complete block design balanced for neighbours and a catalogue has also been prepared.

Suggested Citation

  • 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.
  • Handle: RePEc:taf:japsta:v:32:y:2005:i:1:p:87-97
    DOI: 10.1080/0266476042000305177
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    Cited by:

    1. 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.

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