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Original Articles

D-optimal mixture component-amount designs for quadratic and cubic models

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Pages 739-749 | Published online: 19 Jun 2008

References

  • Cornell , J. A. 2002 . Experiments with Mixtures; Designs, Models, and the Analysis of Mixture Data , 3rd , New York : John Wiley .
  • Draper , N. R. and Pukelsheim , F. 1998 . Mixture models based on homogeneous polynomials . J. Statis. Plan. Inferen. , 71 : 303 – 311 .
  • Piepel , G. F. 1988 . A note on models for mixture-amount experiments when the total amount takes a zero value . Technometrics , 30 ( 4 ) : 449 – 450 .
  • Piepel , G. F. and Cornell , J. A. 1985 . Models for mixture experiments when the response depends on the total amount . Technometrics , 27 ( 3 ) : 219 – 227 .
  • Prescott , P. and Draper , N. R. 2004 . Mixture component-amount designs via projections, including orthogonally blocked designs . J. Qual. Technol. , 36 ( 4 ) : 413 – 431 .
  • Scheffé , H. 1958 . Experiments with mixtures . J. R. Statis. Soc. Ser. B , 20 : 344 – 360 . correction 21(1959), p. 238
  • Scheffé , H. 1963 . The simplex-centroid design for experiments with mixtures . J. R. Statis. Soc. Ser. B , 25 : 235 – 251 . discussion pp. 251–263

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