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Optimality of block designs under the model with the first-order circular autoregression

Author

Listed:
  • Katarzyna Filipiak

    (Poznań University of Technology)

  • Razieh Khodsiani

    (Isfahan University of Technology)

  • Augustyn Markiewicz

    (Poznań University of Life Sciences)

Abstract

In this paper optimal properties of some circular balanced block designs under the model with circular autoregression of order one are studied. Universal optimality of some balanced block designs with equal block sizes is proven and E-optimality of complete balanced block designs with the number of blocks equal to the number of treatments or the number of treatments reduced by two is shown.

Suggested Citation

  • Katarzyna Filipiak & Razieh Khodsiani & Augustyn Markiewicz, 2019. "Optimality of block designs under the model with the first-order circular autoregression," Statistical Papers, Springer, vol. 60(2), pages 427-447, April.
    • Handle: RePEc:spr:stpapr:v:60:y:2019:i:2:d:10.1007_s00362-018-01077-5
    DOI: 10.1007/s00362-018-01077-5
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    References listed on IDEAS

    as
    1. Filipiak, K. & Markiewicz, A., 2004. "Optimality of type I orthogonal arrays for general interference model with correlated observations," Statistics & Probability Letters, Elsevier, vol. 68(3), pages 259-265, July.
    2. Khodsiani, R. & Pooladsaz, S., 2017. "Universal optimal block designs under hub correlation structure," Statistics & Probability Letters, Elsevier, vol. 129(C), pages 387-392.
    3. Filipiak, Katarzyna & Rózanski, Rafal & Sawikowska, Aneta & Wojtera-Tyrakowska, Dominika, 2008. "On the E-optimality of complete designs under an interference model," Statistics & Probability Letters, Elsevier, vol. 78(15), pages 2470-2477, October.
    4. S. Pooladsaz & R. J. Martin, 2005. "Optimal extended complete block designs for dependent observations," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 61(2), pages 185-197, April.
    5. Filipiak, K. & Markiewicz, A., 2003. "Optimality of neighbor balanced designs under mixed effects model," Statistics & Probability Letters, Elsevier, vol. 61(3), pages 225-234, February.
    6. K. Filipiak & A. Markiewicz, 2007. "Optimal designs for a mixed interference model," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 65(3), pages 369-386, May.
    7. K. Filipiak & A. Markiewicz, 2005. "Optimality and efficiency of circular neighbor balanced designs for correlated observations," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 61(1), pages 17-27, February.
    Full references (including those not matched with items on IDEAS)

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