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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 35, 2003 - Issue 4
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Articles

Fraction of Design Space to Assess Prediction Capability of Response Surface Designs

Alyaa ZahranCairo University, Cairo, EgyptView further author information
,
Christine M. Anderson-CookVirginia Polytechnic Institute and State University, Blacksburg, VA24061-0439View further author information
&
Raymond H. MyersVirginia Polytechnic Institute and State University, Blacksburg, VA24061-0439View further author information
Pages 377-386 | Published online: 16 Feb 2018

References

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  • Box, G. E. P. and Hunter, J. S. (1957). “Multifactor Experimental Designs for Exploring Response Surfaces”. The Annals of Mathematical Statistics 28, pp. 195–241.
  • Box, G. E. P. and Wilson, K. B. (1951). “On the Experimental Attainment of Optimum Conditions”. Journal of the Royal Statistical Society, Series B, 13, pp. 1–45.
  • Cornell, J. A. (2002). Experiments with Mixtures: Designs, Models, and the Analysis of Mixture Data. John Wiley, New York, NY.
  • Draper, N. R. and St. John, R. C. (1977). “Designs in Three and Four Components for Mixtures Models with Inverse Terms”. Technometrics 19, pp. 117–130.
  • Giovannitti-Jensen, A. and myers, R. H. (1989). “Graphical Assessment of the Prediction Capability of Response Surface Designs”. Technometrics 31, pp. 375–384.
  • Hartley, H. O. (1959). “Smallest Composite Design for Quadratic Response Surfaces”. Biometrics 15, pp. 159–171.
  • Khuri, A.; Kim, H. J.; and Um, Y. (1996). “Quantile Plots of the Prediction Variance for Response Surface Designs”. Computational Statistics & Data Analysis 22, pp. 395–407.
  • Montgomery, D. C.; Loredo, E. N.; Jearkpaporn, D.; and Testik, M. C. (2002). “Experimental Designs for Constrained Regions”. Quality Engineering 14, pp. 587–602.
  • Myers, R. H.; Vining, G. G.; Giovannitti-Jensen, A. and Myers, S. L. (1992). “Variance Dispersion Properties of Second-Order Response Surface Designs”. Journal of Quality Technology 24, pp. 1–11.
  • Myers, R. H. and Montgomery, D. C. (2002). Response Surface Methodology: Process and Product Optimization Using Designed Experiments, 2nd ed. John Wiley, New York, NY.
  • Roquemore, K. G. (1976). “Hybrid Designs for Quadratic Response Surfaces”. Technometrics 18, pp. 419–423.
  • Vining, G. G. (1993). “A Computer Program for Generating Variance Dispersion Graphs”. Journal of Quality Technology 25, pp. 45–48.

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