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Optimality of neighbor balanced designs under mixed effects model

Author

Listed:
  • Filipiak, K.
  • Markiewicz, A.

Abstract

This paper generalizes Druilhet's results on optimality of circular neighbor balanced block designs under the model with fixed neighbor effects. It is shown that some of these designs are also optimal under the model with random neighbor effects.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:61:y:2003:i:3:p:225-234
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    Citations

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    Cited by:

    1. Filipiak, Katarzyna, 2012. "Universally optimal designs under an interference model with equal left- and right-neighbor effects," Statistics & Probability Letters, Elsevier, vol. 82(3), pages 592-598.
    2. 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.
    3. Katarzyna Filipiak & Rafał Różański, 2009. "Connectedness of complete block designs under an interference model," Statistical Papers, Springer, vol. 50(4), pages 779-787, August.
    4. 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.
    5. 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.
    6. Katarzyna Filipiak & Augustyn Markiewicz, 2017. "Universally optimal designs under mixed interference models with and without block effects," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 80(6), pages 789-804, November.

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