Prediction variance properties of second-order designs for cuboidal regions

You Jin Park, Diane E. Richardson, Douglas Montgomery, Ayca Ozol-Godfrey, Connie M. Borror, Christine M. Anderson-Cook

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Much information is available about the construction and evaluation of the prediction variance properties of response surface designs for fitting a second-order model in a spherical region of interest. There is less information available about the prediction variance properties of second-order designs for a cuboidal region. In this paper, we construct and evaluate designs that are appropriate for the second-order model in cuboidal regions of interest. Several standard experimental designs are investigated and some new designs created using the G and I optimality criteria. We evaluate the designs using the variance of the predicted response over the design region. Variance dispersion graphs and fraction of design space plots are utilized to characterize the scaled prediction variance properties of the most promising designs.

Original languageEnglish (US)
Pages (from-to)253-266
Number of pages14
JournalJournal of Quality Technology
Volume37
Issue number4
StatePublished - Oct 2005

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Prediction Variance
Second-order Model
Region of Interest
Response Surface Design
Evaluate
Optimality Criteria
Design
Prediction
Experimental design
Design of experiments
Evaluation
Graph in graph theory

Keywords

  • Cuboidal Regions
  • Genetic Algorithms
  • Prediction Variance
  • Response Surface Methodology
  • Scaled Prediction Variance

ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering
  • Statistics and Probability
  • Management Science and Operations Research

Cite this

Park, Y. J., Richardson, D. E., Montgomery, D., Ozol-Godfrey, A., Borror, C. M., & Anderson-Cook, C. M. (2005). Prediction variance properties of second-order designs for cuboidal regions. Journal of Quality Technology, 37(4), 253-266.

Prediction variance properties of second-order designs for cuboidal regions. / Park, You Jin; Richardson, Diane E.; Montgomery, Douglas; Ozol-Godfrey, Ayca; Borror, Connie M.; Anderson-Cook, Christine M.

In: Journal of Quality Technology, Vol. 37, No. 4, 10.2005, p. 253-266.

Research output: Contribution to journalArticle

Park, YJ, Richardson, DE, Montgomery, D, Ozol-Godfrey, A, Borror, CM & Anderson-Cook, CM 2005, 'Prediction variance properties of second-order designs for cuboidal regions', Journal of Quality Technology, vol. 37, no. 4, pp. 253-266.
Park YJ, Richardson DE, Montgomery D, Ozol-Godfrey A, Borror CM, Anderson-Cook CM. Prediction variance properties of second-order designs for cuboidal regions. Journal of Quality Technology. 2005 Oct;37(4):253-266.
Park, You Jin ; Richardson, Diane E. ; Montgomery, Douglas ; Ozol-Godfrey, Ayca ; Borror, Connie M. ; Anderson-Cook, Christine M. / Prediction variance properties of second-order designs for cuboidal regions. In: Journal of Quality Technology. 2005 ; Vol. 37, No. 4. pp. 253-266.
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