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Theory and Method

Response Surface Designs in Flexible Regions

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Pages 1089-1094 | Received 01 Mar 1985, Published online: 12 Mar 2012

References

  • Box , G. E. P. and Draper , N. R. 1959 . “A Basis for the Selection of a Response Surface Design” . Journal of the American Statistical Association , 54 : 622 – 654 .
  • Box , G. E. P. and Draper , N. R. 1963 . “The Choice of a Second Order Rotatable Design” . Biometrika , 50 : 335 – 352 .
  • Draper , N. R. and Lawrence , W. E. 1965a . “Designs Which Minimise Model Inadequacies; Cuboidal Regions of Interest” . Biometrika , 52 : 111 – 118 .
  • Draper , N. R. and Lawrence , W. E. 1965b . “Mixture Designs for Three Factors” . Journal of the Royal Statistical Society, Ser. B , 27 : 450 – 465 .
  • Draper , N. R. and Lawrence , W. E. 1965c . “Mixture Designs for Four Factors” . Journal of the Royal Statistical Society, Ser. B , 27 : 473 – 478 .
  • Draper , N. R. and Lawrence , W. E. 1966 . “The Use of Second-Order ‘Spherical’ and ‘Cuboidal’ Designs in the Wrong Regions” . Biometrika , 53 : 596 – 599 .
  • Draper , N. R. and Lawrence , W. E. 1967 . “Sequential Designs for Spherical Weight Functions” . Technometrics , 9 : 517 – 529 .
  • Galil , Z. and Kiefer , J. 1977a . “Comparison of Rotatable Designs for Regression on Balls, I (Quadratic)” . Journal of Statistical Planning and Inference , 1 : 27 – 40 .
  • Galil , Z. and Kiefer , J. 1977b . “Comparison of Designs for Quadratic Regression on Cubes” . Journal of Statistical Planning and Inference , 1 : 121 – 132 .
  • Galil , Z. and Kiefer , J. 1977c . “Comparison of Box-Draper and D-Optimum Designs for Experiments With Mixtures” . Technometrics , 19 : 441 – 444 .
  • Kiefer , J. “Optimum Designs for Fitting Biased Multiresponse Surfaces” . Multivariate Analysis—III, Proceedings of the Third International Symposium on Multivariate Analysis . Edited by: Krishnaiah , P. R. pp. 287 – 297 . New York : Academic Press .
  • Stigler , S. M. 1971 . “Optimal Experimental Design for Polynomial Regression” . Journal of the American Statistical Association , 66 : 311 – 318 .

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