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Minimally replicated PBIB designs for multi-environmental trials

Author

Listed:
  • L. N. Vinaykumar
  • Cini Varghese
  • Mohd Harun
  • Sayantani Karmakar

Abstract

For situations in multi-site varietal trials where the experimenters demand incomplete blocks with unequal sizes, minimum number of replications, or both, new series of incomplete block designs have been presented. The proposed designs are higher associate partially balanced incomplete block designs in two replications having flexible block sizes. These designs are affine resolvable and are optimal in the competing class of resolvable incomplete block designs. The underlying association schemes of these designs are defined. Further, they can be advantageously used for obtaining designs for various stages of breeding trials. An R-package developed for generating these designs has also been demonstrated.

Suggested Citation

  • L. N. Vinaykumar & Cini Varghese & Mohd Harun & Sayantani Karmakar, 2024. "Minimally replicated PBIB designs for multi-environmental trials," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 53(13), pages 4696-4716, July.
    • Handle: RePEc:taf:lstaxx:v:53:y:2024:i:13:p:4696-4716
    DOI: 10.1080/03610926.2023.2185753
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