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Biometrika 2009 96(1):67-82; doi:10.1093/biomet/asn070
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© 2009 Biometrika Trust

Articles

D-optimal design of split-split-plot experiments

Bradley Jones

SAS Institute Inc., SAS Campus Drive, Cary, North Carolina 27513, U.S.A. bradley.jones{at}jmp.com

Peter Goos

Faculty of Applied Economics, Universiteit Antwerpen, Prinsstraat 13, 2000 Antwerpen, Belgium peter.goos{at}ua.ac.be

Received for publication 1 May 2008. Revision received 1 October 2008.
  Abstract

In industrial experimentation, there is growing interest in studies that span more than one processing step. Convenience often dictates restrictions in randomization in passing from one processing step to another. When the study encompasses three processing steps, this leads to split-split-plot designs. We provide an algorithm for computing D-optimal split-split-plot designs and several illustrative examples.

Key Words: Coordinate-exchange algorithm • D-optimality • Hard-to-change factor • Multi-stratum design • Split-plot design • Split-split-plot design


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