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Optimality of type I orthogonal arrays for general interference model with correlated observations

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  • Filipiak, K.
  • Markiewicz, A.

Abstract

We consider a general interference model which includes as special cases interference models as well as cross-over models. In the paper, we extend the results of Kunert and Martin (J. Statist. Plann. Inference 87 (2000a) 119) showing that orthogonal arrays of type I are universally optimal binary designs not only for cross-over models but also for the general interference model with correlated observations.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:68:y:2004:i:3:p:259-265
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    References listed on IDEAS

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    1. Markiewicz, Augustyn, 2001. "On dependence structures preserving optimality," Statistics & Probability Letters, Elsevier, vol. 53(4), pages 415-419, July.
    2. 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. 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.
    2. 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.
    3. 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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