Computer-Aided Blocking of Factorial and Response-Surface Designs


Cook, R. Dennis; Nachtsheim, Christopher J.   (1989, ASQC and the American Statistical Association)   University of Minnesota, St. Paul, MN

Technometrics    Vol. 31    No. 3
QICID: 9407    August 1989    pp. 339-346
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Article Abstract

We consider the problem of blocking response-surface and factorial designs when block sizes are prespecified, often rendering standard approaches inapplicable. A generalization of Harville's (1974) algorithm 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.



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