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Universally optimal designs under an interference model with equal left- and right-neighbor effects

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  • Filipiak, Katarzyna

Abstract

In this paper, the interference model with equal left- and right-neighbor effects is considered. We base this work on the method of Kunert and Martin (2000) to give a sufficient condition for universal optimality of circular neighbor designs. We show that some of neighbor designs by Rees (1967), Azaïs et al. (1993) and Druilhet (1999) satisfy this condition.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:82:y:2012:i:3:p:592-598
    DOI: 10.1016/j.spl.2011.11.013
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Ahmed, Rashid & Akhtar, Munir & Tahir, M.H., 2009. "Economical generalized neighbor designs for use in Serology," Computational Statistics & Data Analysis, Elsevier, vol. 53(12), pages 4584-4589, October.
    4. 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.
    5. 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.
    6. Kunert, Joachim & Martin, R. J., 2000. "On the determination of optimal designs for an interference model," Technical Reports 2000,17, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
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    Cited by:

    1. 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.
    2. 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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