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Trend resistant balanced bipartite block designs

Author

Listed:
  • Seema Jaggi

    (Indian Council of Agricultural Research
    ICAR-Indian Agricultural Statistics Research Institute)

  • Kader Ali Sarkar

    (ICAR-Indian Agricultural Statistics Research Institute
    Visva-Bharati)

  • Arpan Bhowmik

    (ICAR-Indian Agricultural Statistics Research Institute
    ICAR-Indian Agricultural Research Institute)

  • Eldho Varghese

    (ICAR-Indian Agricultural Statistics Research Institute
    ICAR-Central Marine Fisheries Research Institute)

  • Cini Varghese

    (ICAR-Indian Agricultural Statistics Research Institute)

  • Anindita Datta

    (ICAR-Indian Agricultural Statistics Research Institute)

Abstract

Balanced Bipartite Block (BBPB) designs resistant against the trend are used when the interest of the experimenter is in making comparisons between two sets of treatments that are disjoint, and there is the presence of systematic trend within a block. This paper deals with the bipartite block model incorporating trend component. The general methodology has been described related to BBPB designs incorporating trend effect. The conditions for a BBPB design to be trend resistant are also obtained. Further, methods of constructing trend resistant BBPB designs are discussed. The designs so obtained are trend resistant and are more efficient for estimating the contrasts pertaining to two treatments from different sets.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:stmapp:v:32:y:2023:i:1:d:10.1007_s10260-022-00652-3
    DOI: 10.1007/s10260-022-00652-3
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    References listed on IDEAS

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    1. Mike Jacroux, 1990. "Some optimal designs for comparing a set of test treatments with a set of controls," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 42(1), pages 173-185, March.
    2. 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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