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Computer-aided blocking of factorial and response-surface designs. (English) Zbl 0705.62072
Summary: We consider the problem of blocking response-surface and factorial designs when block sizes are prespecified, often rendering standard approaches inapplicable. A generalization of D. A. Harville’s algorithm [ibid. 16, 589-599 (1974; Zbl 0294.62090)] is given for generating nearly D-optimal block designs and is applied in a number of representative settings. The algorithm is time and space efficient and can be used in conjunction with qualitative treatments for generating many of the classical designs - balanced and partially balanced incomplete block designs, for example.

62K05 Optimal statistical designs
62K15 Factorial statistical designs
62K10 Statistical block designs
65C99 Probabilistic methods, stochastic differential equations
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