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Optimality and efficiency of circular neighbor balanced designs for correlated observations. (English) Zbl 1062.62136
Summary: The purpose of this paper is to apply the J. Kunert and R. J. Martin’s method [Ann. Stat. 28, No. 6, 1728–1742 (2000; Zbl 1103.62358)] 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 coefficients, for which these designs are not optimal.

MSC:
62K05 Optimal statistical designs
62M10 Time series, auto-correlation, regression, etc. in statistics (GARCH)
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