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A Note on Optimal Partial Triallel Cross Designs

Author

Listed:
  • Anshula Pandey

    (Department of Statistics, Sunandan Divatia School of Science NMIMS, India)

  • Addisu Jember

    (Addis Ababa University, Addis Ababa, Ethiopia)

  • MK Sharma

    (Department of Statistics, Sunandan Divatia School of Science NMIMS, India)

Abstract

Two simple alternative methods of construction of optimal partial triallel cross designs (unblocked and blocked) for p>3 lines are proposed by using transversal and parallel transversals of a Latin square of order p, where p is a prime or power of a prime. Sharma et al. [1] and Sharma & Fanta [2] also constructed these designs by using two mutually orthogonal Latin squares but we constructed these designs only taking one Latin square. Therefore our methods are simple in comparison to their methods. These designs are found to be optimal in the sense of Kiefer [3] and Das & Gupta [4].

Suggested Citation

  • Anshula Pandey & Addisu Jember & MK Sharma, 2018. "A Note on Optimal Partial Triallel Cross Designs," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 7(4), pages 62-65, July.
    • Handle: RePEc:adp:jbboaj:v:7:y:2018:i:4:p:62-65
    DOI: 10.19080/BBOAJ.2018.07.555717
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    References listed on IDEAS

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    1. M. Dharmalingam, 2002. "Construction of Partial Triallel Crosses based on Trojan Square Design," Journal of Applied Statistics, Taylor & Francis Journals, vol. 29(5), pages 695-702.
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