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Necessary and sufficient conditions determining D-optimality of chemical balance weighing design with three objects are proved under first-order autoregressive errors with negative autocorrelation. D-optimality of the design constructed by Li and Yang (2005) is also shown.
In this paper, we consider the estimation problem of individual weights of three objects. For the estimation we use the chemical balance weighing design and the criterion of D-optimality. We assume that the error terms $${\varepsilon_{i},\ i=1,2,\dots,n,}$$ are a first-order autoregressive process. This assumption implies that the covariance matrix of errors depends on the known parameter ρ....
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