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Optimal Circular Block Designs for Neighbouring Competition Effects

Author

Listed:
  • Seema Jaggi
  • Cini Varghese
  • V.K. Gupta

Abstract

Competition or interference occurs when the responses to treatments in experimental units are affected by the treatments in neighbouring units. This may contribute to variability in experimental results and lead to substantial losses in efficiency. The study of a competing situation needs designs in which the competing units appear in a predetermined pattern. This paper deals with optimality aspects of circular block designs for studying the competition among treatments applied to neighbouring experimental units. The model considered is a four-way classified model consisting of direct effect of the treatment applied to a particular plot, the effect of those treatments applied to the immediate left and right neighbouring units and the block effect. Conditions have been obtained for the block design to be universally optimal for estimating direct and neighbour effects. Some classes of balanced and strongly balanced complete block designs have been identified to be universally optimal for the estimation of direct, left and right neighbour effects and a list of universally optimal designs for v<20 and r<100 has been prepared.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:japsta:v:34:y:2007:i:5:p:577-584
    DOI: 10.1080/02664760701235089
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    Citations

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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.
    2. Seema Jaggi & Kader Ali Sarkar & Arpan Bhowmik & Eldho Varghese & Cini Varghese & Anindita Datta, 2023. "Trend resistant balanced bipartite block designs," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 32(1), pages 211-235, March.

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