Journal article

Robust Uniform Design with Errors in Design Variables


Authors listWinker, Peter; Lin, Dennis K. J.

Publication year2011

Pages1379-1396

JournalStatistica Sinica

Volume number21

Issue number3

ISSN1017-0405

DOI Linkhttps://doi.org/10.5705/ss.2009.055

PublisherInstitute of Statistical Science


Abstract
Uniform design has become a standard tool in experimental design over the last two decades. Its properties are analyzed for a situation when the actual values of the control variables are subject to some error in factor level values. A closed form for the expected discrepancy is established, under some mild assumptions. A thorough Monte Carlo study is conducted under various potential scenarios. Some general properties have been revealed. Both theoretical and simulation results are Consistent. The robustness of uniform design under error in control variables is also investigated. It is shown that uniform designs are highly robust with regard to uniformly distributed errors in design variables.



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Citation Styles

Harvard Citation styleWinker, P. and Lin, D. (2011) Robust Uniform Design with Errors in Design Variables, Statistica Sinica, 21(3), pp. 1379-1396. https://doi.org/10.5705/ss.2009.055

APA Citation styleWinker, P., & Lin, D. (2011). Robust Uniform Design with Errors in Design Variables. Statistica Sinica. 21(3), 1379-1396. https://doi.org/10.5705/ss.2009.055



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