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Vahl, Christopher I.; Milliken, George A.

Whole-plot exchange algorithms for constructing D-optimal multistratum designs. (English) Zbl 1222.62098

Commun. Stat., Simulation Comput. 40, No. 7, 1030-1042 (2011).
Summary: Multistratum experiments contain several different sizes of experimental units. Examples include split-plot, strip-plot designs, and randomized block designs. We propose a strategy for constructing a D-optimal multistratum design by improving a randomly generated design through a sequence of whole-plot exchanges. This approach preserves the design structure and simplifies updates to the information and is applicable to any multistratum design where the largest-sized experimental unit is either a whole plot or a block. Two whole-plot exchange algorithms inspired by the point-exchange strategies of V. V. Fedorov [Theory of optimal experiments. NY-London: Academic Press (1972; Zbl 0261.62002)] and H. P. Wynn [J. R. Stat. Soc., Ser. B 34, 133–147 (1972; Zbl 0248.62033)] are described. The application of the algorithms to several design problems is discussed.

Cited in 2 Documents

MSC:

62K05 Optimal statistical designs
62K10 Statistical block designs
62K20 Response surface designs
65C60 Computational problems in statistics (MSC2010)

Keywords:

random blocks; response surface design; split-plot; split-split-plot

Citations:

Zbl 0261.62002; Zbl 0248.62033
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Full Text: DOI

References:

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