AN ALGORITHM FOR THE DESIGN OF 2? FACTORIAL EXPERIMENTS ON CONTINUOUS PROCESSES |
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Authors: | IW Saunders JA Eccleston RJ Martin |
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Institution: | Australian Centre in Strategic Management, Queensland University of Technology, GPO Box 2434, Brisbane, Q 4001.;Dept of Mathematics, The University of Queensland, Q 4072.;School of Mathematics &Statistics, University of Sheffield, Sheffield S3 7RH, England. |
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Abstract: | Saunders & Eccleston (1992) presented an approach to the design of 2-level factorial experiments for continuous processes. It determined sets of contrasts between the observations that could be well estimated, and then selected a design so that those contrasts estimated the parameters of interest. This paper shows that a well-estimated contrast must have a large number of changes of sign or level, and also be ‘paired’ in a particular sense. It develops an algorithm which constructs designs that must have a large number of changes of sign, evenly spread among the contrasts and optimal or near optimal. When such designs exist they are often preferable to those produced by the reverse foldover algorithm of Cheng & Steinberg (1991). |
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Keywords: | Continuous processes factorial experiments optimal design variogram |
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