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Original Articles

Minimum, maximum, and average spherical prediction variances for central composite and box-behnken designs

Pages 2581-2600 | Received 01 May 1995, Published online: 27 Jun 2007

References

  • Atkinson , A.C. and Donev , A.N. 1992 . Optimum Experimental Designs , New York : Oxford University Press .
  • Beyer , W.H. , ed. 1987 . CRC Standard Mathematical Tables , Boca Raton : CRC Press .
  • Borkowski , J.J. 1995 . Spherical prediction variance properties of central composite and Box-Behnken designs . Technometrics , November To appear in
  • Box , J.J. and Behnken , D.W. 1995 . Some new three level designs-for the study of quantitative variables . Technometrics , 2 : 455 – 475 . To appear in
  • Box , G.E.P. and Draper , N.R. 1987 . Empirical Model Building and Response Surfaces , New York : John Wiley .
  • Box , G.E.P. and Wilson , K.B. 1957 . Multi-factor experimental designs for exploring response surface. . Annals of Mathematical Statistics. , 28 : 195 – 241 .
  • Box , G.E.P. and Wilson , K.B. 1951 . On the experimental attainment of optimum conditions . Journal of the Royal Statistical Society. , 13 : 1 – 45 . Ser. B
  • Box , M.J. and Draper , N.R. 1951 . Factorial designs, the ∣ X ' X ∣ criterion, and some related matters . Journal of the Royal Statistical Society. , 13 : 731 – 743 .
  • Courant , R. 1936 . Differential and Integral Calculus , Vol. II , London : Blackie & Son Ltd. .
  • Draper , N.R. and Guttan , I. 1988 . An index of rotatability . Technometrics. , 30 : 105 – 111 .
  • Draper , N.R. and Pukkelsheim , F. 1990 . Another look at rotatability . Technometrics. , 32 : 195 – 202 .
  • Draper , N.R. and Pukkelsheim , F. 1991 . First and second order rotatability of designs, moment matrices, and information surfaces . Metrika , 38 : 129 – 161 .
  • Giovannitti-Jensen , A. and Myers , R.H. 1989 . Graphical assessment of the prediction capability of response surface designs . Technometrics. , 31 : 159 – 171 .
  • Hussey , J.R. , Myers , R.H. and Houck , E.G. 1987 . Correlated simulation experiments in first-order response surface design . Operations Research , 35 : 744 – 758 .
  • Khuri , A. 1988 . A measure of rotatability for response surface designs . Technometrics , 30 : 95 – 104 .
  • Edwards , C.H. 1973 . Advanced Calculus of Several Variables , New York : Academic Press .
  • Edwards , Joseph . 1954 . A Treatise on the Integral Calculus , Vol. II , New York : Chelsea Publishing .
  • Lucus , James M. 1974 . Optimum composite designs . Technometrics , 16 : 561 – 567 .
  • Lucus , James M. 1974 . Which response surface design is best . Technometrics , 16 : 411 – 417 .
  • Myers , R.H. 1971 . Response Surface Methodology , Boston : Allyn and Bacon .
  • Myers , R.H. , Vining , G.G. and Myers , S.L. 1992 . Variance dispersion properties of second order response surface designs . Journal of Quality Technology , 24 : 1 – 11 .
  • Pukelsheim , F. 1993 . Optimal Design of Experiments , New York : Wiley .
  • Vining G. An algorithm for graphical assessment of experimental designs Technical Report 88-3 Virginia Polytechnic Institute and State University, Dept. of Statistics. 1988
  • Vining and Geoffrey , G. 1993a . A computer program for generating variance dispersion graphs . Journal of Quality Technology , 25 : 45 – 58 .
  • Vining and Geoffrey , G. 1993a . Corrigenda for “A computer program for generating variance dispersion graphs” . Journal of Quality Technology , 25 : 333 – 333 .

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