Robust uniform design with errors in the design variables

Peter Winker, Dennis K.J. Lin

Research output: Contribution to journalArticle

3 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)1379-1396
Number of pages18
JournalStatistica Sinica
Volume21
Issue number3
DOIs
StatePublished - Jul 1 2011

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Uniform Design
Robust Design
Monte Carlo Study
Experimental design
Discrepancy
Closed-form
Robustness
Scenarios
Design
Simulation
Control variable

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

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Robust uniform design with errors in the design variables. / Winker, Peter; Lin, Dennis K.J.

In: Statistica Sinica, Vol. 21, No. 3, 01.07.2011, p. 1379-1396.

Research output: Contribution to journalArticle

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