Designs for Mixture-Amount Experiments
作者:
PiepelGregory F.,
CornellJohn A.,
期刊:
Journal of Quality Technology
(Taylor Available online 1987)
卷期:
Volume 19,
issue 1
页码: 11-28
ISSN:0022-4065
年代: 1987
DOI:10.1080/00224065.1987.11979029
出版商: Taylor&Francis
关键词: D-optimality;Fractional Replicates;Mixture Experiment;Mixture-Amount Experiment
数据来源: Taylor
摘要:
Amixture experimentis one in which the response depends only on the proportions of the components present in the mixture and not on the total amount of the components. Experimenters often satisfy this definitional requirement by fixing (holding constant) the total amount of the components. Amixture-amount experiment, on the other hand, is one in which the amount of the mixture varies, and hence the response may depend on the amount of the mixture as well as on the proportions of the components present in the mixture. Piepel and Cornell (1985) have discussed models for mixture-amount experiments. In this article we present and discuss ways to generate complete and fractional designs for both unconstrained and constrained mixture-amount experiments. The designs presented are also applicable to mixture-process variable experiments involving one process variable. Several examples are utilized to illustrate the design development techniques discussed.
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