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The construction of exact D-optimum experimental designs with application to blocking response surface designs. (English) Zbl 0677.62066
A method for constructing exact D-optimal experimental designs in analysis of covariance situations when a response depends on both qualitative and quantitative factors is presented. It is obtained by speeding up the exchange algorithm of V. V. Fedorov [Theory of optimal experiments. (1972); translated from the Russian original (1971; Zbl 0261.62002)]. The algorithm is further adapted to provide exact D- optimum designs with specified block sizes and examples of blocking second-order response surface designs are given. The designs are found by searching over a grid of candidate points.
Reviewer: D.Rasch

MSC:
62K05 Optimal statistical designs
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