Prediction variance properties of second-order designs for cuboidal regions

Journal of Quality Technology

Volumn 37, Issue 4, 2005, Pages 253-266

  Park, You Jin ^a,f,g   Richardson, Diane E ^b,h   Montgomery, Douglas C ^b,g,h,i   Ozol Godfrey, Ayca ^c,g,j   Borror, Connie M ^d,g,h   Anderson Cook, Christine M ^e,g,k  

^a SAMSUNG Electronics   (South Korea)

^b ARIZONA STATE UNIVERSITY   (United States)

^c PFIZER INC   (United States)

^d ARIZONA STATE UNIVERSITY WEST   (United States)

^e LOS ALAMOS NATIONAL LABORATORY   (United States)

^f Engineering Information Group   (South Korea)

^g ASQ   (South Korea)

^h Department of Mathematics and Statistics ^*

ⁱ ASU Foundation   (United States)

^j Biostatistics Group

^k Statistical Sciences Group   (United States)

more..

Author keywords

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

Indexed keywords

GENETIC ALGORITHMS; GEOMETRY; KINEMATICS; MATHEMATICAL MODELS;

CUBOIDAL REGIONS; PREDICTION VARIANCE; RESPONSE SURFACE METHODOLOGY; SCALED PREDICTION VARIANCE;

PRODUCT DESIGN;

EID: 26844513298     PISSN: 00224065     EISSN: None     Source Type: Journal    
DOI: 10.1080/00224065.2005.11980329     Document Type: Article

References (29)

1. BORKOWSKI, J. J. (1995). "Spherical Prediction Variance Properties of Central Composite and Box-Behnken Designs". Technometrics 37, pp. 399-410.
2. BORKOWSKI, J. J. (2003). "Using a Genetic Algorithm to Generate Small Exact Response Surface Designs". Journal of Probability and Statistical Science 1, pp. 65-88.
3. BORROR, C. M.; MONTGOMERY, D. C.; and MYERS, R. H. (2002). "Evaluation of Statistical Designs for Experiments Involving Noise Variables". Journal of Quality Technology 34, pp. 54-70.
4. Box, G. E. P. and BEHNKEN, D. W. (1960). "Some New Three-Level Designs for the Study of Quantitative Variables" . Technometrics 30, pp. 1-40.
5. 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.
6. DRAPER, N. R. and LIN, D. K. J. (1990). "Small Response-Surface Designs". Technometrics 32, pp. 187-194.
7. FORREST, S. (1993). "Genetic Algorithms: Principles of Natural Selection Applied to Computation". Science 261, pp. 872-878.
8. GIOVANITTI-JENSEN, A. and MYERS, R. H. (1989). "Graphical Assessment of the Prediction Capability of Response Surface Designs". Technometrics 31, pp. 159-171.
9. GOLDFARB, H. B.; ANDERSON-COOK, C. M.; BORROR, C. M.; and MONTGOMERY, D. C. (2004). "Fraction of Design Space Plots for Assessing Mixture and Mixture-Process Designs". Journal of Quality Technology 36, pp. 169-179.
10. GOLDFARB, H. B.; BORROR, C. M.; and MONTGOMERY, D. C. (2003). "Mixture-Process Variables Experiments with Noise Variables". Journal of Quality Technology 35, pp. 393-405.
11. HARTLEY, H. O. (1959). "Smallest Composite Designs for Quadratic Response Surfaces". Biometrics 15, pp. 611-624.
12. HEREDIA-LANGNER, A.; CARLYLE, W. M.; MONTGOMERY, D. C.; BORROR, C. M.; and RUNGER, G. C. (2003). "Genetic Algorithm for the Construction of D-Optimal Designs'. Journal of Quality Technology 35, pp. 28-46.
13. HEREDIA-LANGNER, A.; MONTGOMERY, D. C.; CARLYLE, W. M.; and BORROR, C. M. (2004). "Model-Robust Optimal Designs: A Genetic Algorithm Approach". Journal of Quality Technology 36, pp. 263-274.
14. n Factorial". Technometrics 16, pp. 375-384.
15. JMP SOFTWARE (2004) Version JMP 5.2. Cary, NC.
16. MITCHELL, T. J. (1974). "An Algorithm for the Construction of D-Optimal Experimental Designs". Technometrics 16, pp. 203-210.
17. MITCHELL, T. J. and BAYNE, C. K. (1978). "D-Optimal Fractions of Three-Level Factorial Designs". Technometrics 20, pp. 369-380.
18. MONTEPIEDRA, G.; MYERS, D.; and YEH, A. B. (1998). "Application of Genetic Algorithms to the Construction of Exact D-Optimal Designs". Journal of Applied Statistics 25, pp. 817-826.
19. MORRIS, M. D. (2000). "A Class of Three-Level Experimental Designs for Response Surface Modeling". Technometrics 42, pp. 111-121.
20. MYERS, R. H. and MONTGOMERY, D. C. (2002). Response Surface Methodology: Process and Product Optimization Using Designed Experiments, 2nd edition. John Wiley & Sons, New York, NY.
21. MYERS, R. H.; MONTGOMERY, D. C.; VINING, G. G.; BORROR, C. M.; and KOWALSKI S. M. (2004). "Response Surface Methodology: A Retrospective and Literature Survey". Journal of Quality Technology 36, pp. 53-77.
22. MYERS, R. H.; VINING, G. G.; GIOVANITTI-JENSEN, A; and MYERS, S. L. (1992). "Variance Dispersion Properties of Second-Order Response Surface Designs". Journal of Quality Technology 24, pp. 1-11.
23. NOTZ, W. (1982). "Minimal Point Second Order Design". Journal of Statistical Planning and Inference 6, pp. 47-58.
24. PLACKETT, P. L. and BURMAN, J. P. (1946). "The Design of Optimum Multifactorial Experiments". Biometrika 33, pp. 305-325.
25. n Factorial Designs". Technometrics 9, pp. 569-575.
26. ROZUM, M. and MYERS, R. H. (1991). "Variance Dispersion Graphs for Cuboidal Regions". ASA Meetings, Atlanta, GA.
27. TRINCA, L. A. and GILMOUR, S. G. (1998). "Variance Dispersion Graphs for Comparing Blocked Response Surface Designs". Journal of Quality Technology 30, pp. 349-364.
28. VINING, G. G. (1993). "A Computer Program for Generating Variance Dispersion Graphs". Journal of Quality Technology 25, pp. 45-58.
29. ZAHRAN, A.; ANDERSON-COOK, C. M; and MYERS, R. H. (2003), "Fraction of Design Space to Assess the Prediction Capability of Response Surface Designs". Journal of Quality Technology 35, pp. 377-386.