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Biometrika Advance Access originally published online on January 30, 2009
Biometrika 2009 96(1):95-106; doi:10.1093/biomet/asn062
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© 2009 Biometrika Trust

Articles

Bayesian-inspired minimum aberration two- and four-level designs

V. Roshan Joseph

H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0205, U.S.A. roshan{at}isye.gatech.edu

Mingyao AI

Laboratory of Mathematics and Applied Mathematics, School of Mathematical Sciences, Peking University, Beijing 100871, China myai{at}math.pku.edu.cn

C. F. Jeff Wu

H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0205, U.S.A. jeffwu{at}isye.gatech.edu

Received for publication 1 March 2008. Revision received 1 October 2008.

Motivated by a Bayesian framework, we propose a new minimum aberration-type criterion for designing experiments with two- and four-level factors. The Bayesian approach helps in overcoming the ad hoc nature of effect ordering in the existing minimum aberration-type criteria. The approach is also capable of distinguishing between qualitative and quantitative factors. Numerous examples are given to demonstrate its advantages.

Key Words: Bayesian method • Fractional factorial design • Qualitative factor • Quantitative factor



References

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    Joseph V. R. A Bayesian approach to the design and analysis of fractionated experiments. Technometrics (2006) 48:219–29.[CrossRef][Web of Science]

    Joseph V. R., Delaney J. D. Functionally induced priors for the analysis of experiments. Technometrics (2007) 49:1–11.[Medline]

    Wu C. F. J. Construction of 2m4n designs via a grouping scheme. Ann. Statist. (1989) 17:1880–5.[CrossRef]

    Wu C. F. J., Hamada M. Experiments: Planning, Analysis, and Parameter Design Optimization (2000) New York: Wiley.

    Wu C. F. J., Zhang R. C. Minimum aberration designs with two-level and four-level factors. Biometrika (1993) 80:203–9.[Abstract/Free Full Text]


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This Article
Right arrow Abstract Freely available
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
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Right arrow Email this article to a friend
Right arrow Similar articles in this journal
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Right arrow Add to My Personal Archive
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Right arrow Articles by Joseph, V. R.
Right arrow Articles by Wu, C. F. J.
Right arrow Search for Related Content
Social Bookmarking
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What's this?