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Optimality and efficiency of circular neighbor balanced designs for correlated observations

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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.

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Authors and Affiliations

  1. Department of Mathematical and Statistical Methods, Agricultural University of Poznań, Wojska Polskiego 28, PL-60637, Poznań, Poland

    K. Filipiak & A. Markiewicz

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  1. K. Filipiak
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  2. A. Markiewicz
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Research partially supported by the KBN Grant Number 5 P03A 041 21.

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Filipiak, K., Markiewicz, A. Optimality and efficiency of circular neighbor balanced designs for correlated observations. Metrika 61, 17–27 (2005). https://doi.org/10.1007/s001840400321

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  • DOI: https://doi.org/10.1007/s001840400321

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