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Optimality and efficiency of circular neighbor balanced designs for correlated observations

Author

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  • K. Filipiak
  • A. Markiewicz

Abstract

The purpose of this paper is to apply the Kunert and Martin’s (2000b) method for finding optimal designs into the case of dependence. Using this method we study optimality of circular neighbor balanced designs at distances 1 and 2 under the one-dimensional interference model with errors correlated according to a circular autoregressive process. We determine the efficiency of binary designs for specified values of correlation coefficient, for which these designs are not optimal. Copyright Springer-Verlag 2005

Suggested Citation

  • 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.
    • Handle: RePEc:spr:metrik:v:61:y:2005:i:1:p:17-27
    DOI: 10.1007/s001840400321
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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. Kunert, Joachim & Mersmann, Sabine, 2009. "Optimal designs for an interference model," Technical Reports 2009,08, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    3. 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.
    4. Futao Zhang & Xiangshun Kong, 2023. "Optimal Designs for Proportional Interference Models with Different Guarding Strategies," Mathematics, MDPI, vol. 11(2), pages 1-14, January.
    5. Katarzyna Filipiak & Rafał Różański, 2009. "Connectedness of complete block designs under an interference model," Statistical Papers, Springer, vol. 50(4), pages 779-787, August.
    6. 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.
    7. Akram Fakhari-Esferizi & Saeid Pooladsaz, 2022. "Universally optimal balanced block designs for interference model," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 85(8), pages 1049-1061, November.
    8. Razieh Khodsiani & Saeid Pooladsaz, 2022. "Optimality of circular equineighbored block designs under correlated observations," Statistical Papers, Springer, vol. 63(6), pages 1743-1755, December.
    9. 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.
    10. 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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