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Optimal versus orthogonal and equivalent-estimation design of blocked and split-plot experiments. (English) Zbl 1108.62073
Summary: This article provides an overview of the recent literature on the design of blocked and split-plot experiments with quantitative experimental variables. A detailed literature study introduces the ongoing debate between an optimal design approach to constructing blocked and split-plot designs and approaches where the equivalence of ordinary least squares and generalized least squares estimates are envisaged. Examples where the competing design strategies lead to totally different designs are given, as well as examples in which the optimal experimental designs are orthogonally blocked or equivalent-estimation split-plot designs.

MSC:
62K05 Optimal statistical designs
62K10 Statistical block designs
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