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Blocking response surface designs. (English) Zbl 1157.62471
Summary: The design of experiments involving more than one blocking factor and quantitative explanatory variables is discussed, the focus being on two key aspects of blocked response surface designs: optimality and orthogonality. First, conditions for orthogonally blocked experiments are derived. Next, an algorithmic approach to compute \(D\)-optimal designs is presented. Finally, the relationships between design optimality and orthogonality in the context of response surface experiments are discussed in detail.

MSC:
62K05 Optimal statistical designs
62K20 Response surface designs
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