Atkinson, A. C.; Donev, A. N. The construction of exact D-optimum experimental designs with application to blocking response surface designs. (English) Zbl 0677.62066 Biometrika 76, No. 3, 515-526 (1989). 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 Cited in 24 Documents MSC: 62K05 Optimal statistical designs Keywords:constructing exact D-optimal experimental designs; analysis of covariance; qualitative and quantitative factors; exchange algorithm; blocking second-order response surface designs PDF BibTeX XML Cite \textit{A. C. Atkinson} and \textit{A. N. Donev}, Biometrika 76, No. 3, 515--526 (1989; Zbl 0677.62066) Full Text: DOI