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Optimal designs for diallel cross experiments

Author

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  • Das, Ashish
  • Dey, Aloke
  • Dean, Angela M.

Abstract

Using nested balanced incomplete block designs, new families of optimal block designs for a certain type of dialled cross experiments are obtained. It is further shown that triangular partially balanced incomplete block designs satisfying a certain parametric condition also lead to optimal designs for diallel crosses. These results unify and extend some of the earlier results on optimality of block designs for diallel crosses.

Suggested Citation

  • Das, Ashish & Dey, Aloke & Dean, Angela M., 1998. "Optimal designs for diallel cross experiments," Statistics & Probability Letters, Elsevier, vol. 36(4), pages 427-436, January.
    • Handle: RePEc:eee:stapro:v:36:y:1998:i:4:p:427-436
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    Citations

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    Cited by:

    1. M. K. Sharma & Mekonnen Tadesse, 2017. "Optimal Block and Row–Column Designs for CDC Methods," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 79(2), pages 278-291, November.
    2. Ghosh, Himadri & Das, Ashish, 2004. "Optimal diallel cross designs for the interval estimation of heredity," Statistics & Probability Letters, Elsevier, vol. 67(1), pages 47-55, March.
    3. Chung Choi, Kuey & Chatterjee, Kashinath & Das, Ashish & Gupta, Sudhir, 2002. "Optimality of orthogonally blocked diallels with specific combining abilities," Statistics & Probability Letters, Elsevier, vol. 57(2), pages 145-150, April.
    4. Hsu, Yung-Feng & Ting, Chao-Ping, 2005. "A-optimal and efficient diallel cross experiments for comparing test treatments with a control," Statistics & Probability Letters, Elsevier, vol. 71(1), pages 99-110, January.
    5. Ghosh, Himadri & Das, Ashish & Midha, C.K., 2006. "On some efficient partial diallel cross designs," Statistics & Probability Letters, Elsevier, vol. 76(16), pages 1768-1774, October.
    6. M. Sharma & Sileshi Fanta, 2010. "Optimal block designs for diallel crosses," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 71(3), pages 361-372, May.
    7. Ashish Das & Sudhir Gupta & Sanpei Kageyama, 2006. "A-optimal diallel crosses for test versus control comparisons," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(6), pages 601-608.

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