Fraction of design space to assess prediction capability of response surface designs

Journal of Quality Technology

Volumn 35, Issue 4, 2003, Pages 377-386

  Zahran, Alyaa ^a   Anderson Cook, Christine M ^b   Myers, Raymond H ^b  

^a CAIRO UNIVERSITY   (Egypt)

^b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

Alphabetic optimality; Design optimization; Prediction variance; Variance dispersion graph

Indexed keywords

ALGORITHMS; DESIGN; FORECASTING; GRAPH THEORY; INTEGRATION; MATHEMATICAL MODELS; OPTIMIZATION; SPHERES; STATISTICS;

FRACTION OF DESIGN SPACE; RESPONSE SURFACE DESIGNS; SCALED PREDICTION VARIANCE; VARIANCE DISPERSION GRAPHS;

GRAPHIC METHODS;

EID: 1042280732     PISSN: 00224065     EISSN: None     Source Type: Journal    
DOI: 10.1080/00224065.2003.11980235     Document Type: Article

References (13)

1. Box, G. E. P. and Behnken, D. W. (1960). "Some New Three-Level Designs for the Study of Quantitative Variables". Technometrics 2, pp. 455-475.
2. 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.
3. 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.
4. Cornell, J. A. (2002). Experiments with Mixtures: Designs, Models, and the Analysis of Mixture Data. John Wiley, New Yor, NY.
5. 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.
6. Giovannitti-Jensen, A. and Myers, R. H. (1989). "Graphical Assessment of the Prediction Capability of Response Surface Designs". Technometrics 31, pp. 375-384.
7. Hartley, H. O. (1959). "Smallest Composite Design for Quadratic Response Surfaces". Biometrics 15, pp. 159-171.
8. 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.
9. Montgomery, D. C; Loredo, E. N.; Jearkpaporn, D.; and Testik, M. C. (2002). "Experimental Designs for Constrained Regions". Quality Engineering 14, pp. 587-602.
10. Myers, R. H.; Vining, G. G.; Giovannitti-Jense, A. and Myers, S. L. (1992). "Variance Dispersion Properties of Second-Order Response Surface Designs". Journal of Quality Technology 24, pp. 1-11.
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.
12. Roquemore, K. G. (1976). "Hybrid Designs for Quadratic Response Surfaces". Technometrics 18, 419-423.
13. Vining, G. G. (1993). "A Computer Program for Generating Variance Dispersion Graphs". Journal of Quality Technology 25, pp. 45-48.