Abstract

Many experiments require that the experimental runs at specific design locations be completed in sequence, therefore reducing the randomization of the experimental process. Such experiments can create correlated responses, and the goal of this paper is to analyze the effect that such correlated responses together with heterogeneous variance have on optimal designs. Various dispersion and correlation cases are considered, the D- and I-optimal designs determined in each case, and the results analyzed to examine the worth of a standard equal replicate design that is used under ideal conditions.

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