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Optimality of circular equineighbored block designs under correlated observations

Author

Listed:
  • Razieh Khodsiani

    (K. N. Toosi University of Technology)

  • Saeid Pooladsaz

    (Isfahan University of Technology)

Abstract

In some experiments each observation is correlated to the observations in its neighborhoods. The circulant correlation is a structure with this situation for circular block designs. The main aim of this paper is to study optimal properties of some circular block designs under the model with circulant correlation. Also, we introduce circular equineighbored designs (CEDs) and show that, under circulant correlation, some CEDs are universally optimal over the class of generalized binary block designs. Some methods of construction these optimal designs with various number of treatments and block sizes are presented.

Suggested Citation

  • Razieh Khodsiani & Saeid Pooladsaz, 2022. "Optimality of circular equineighbored block designs under correlated observations," Statistical Papers, Springer, vol. 63(6), pages 1743-1755, December.
    • Handle: RePEc:spr:stpapr:v:63:y:2022:i:6:d:10.1007_s00362-022-01287-y
    DOI: 10.1007/s00362-022-01287-y
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    References listed on IDEAS

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    1. 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.
    2. 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.
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