D-optimal design for a quadratic log contrast model for experiments with mixtures

References

• Aitchison , J. 1982 . “The statistical analysis of compositional data (with Discussion)” . J.R. Statist. Soc. B , 44 : 139 – 177 .
   Google Scholar
• Aitchison , J. and Bacon-Shone , J. 1984 . “Log contrast models for experiments with mixtures” . Biometrika , 71 : 323 – 30 .
   Web of Science ®Google Scholar
• Box , G. E. P. and Draper , N. R. 1987 . Emperical Model-building and response surfaces , New York : John Wiley .
   Google Scholar
• Chan , L.Y. 1987 . “ Optimal design for experiments with mixtures ” . In Ph.D. thesis , University of Hong Kong .
   Google Scholar
• Chan , L. Y. 1988 . “Optimal design for a linear log contrast model for experiments with mixtures“ . J. Statist. Planning Infer , 20 : 105 – 113 .
   Google Scholar
• Chan , L. Y. 1990 . “An example of construction of asymptotic D-optimal design which converges on an infinite set of points” . Jour.Statist. Planning Infer , 25 : 29 – 34 .
   Google Scholar
• Cornell , J. A. 1990 . Experiments with Mixtures , New York : John Wiley .
   Google Scholar
• Draper , N. R. and John , R. C. 1977 . “A mixtures model with inverse terms” . Technometrics , 19 : 37 – 46 .
   Web of Science ®Google Scholar
• Draper , N. R. and John , R. C. 1977 . “Designs in three and four components for mixtures models with inverse terms“ . Technometrics , 19 : 117 – 130 .
   Web of Science ®Google Scholar
• Fedorov , V. V. 1972 . Theory of Optimal Experiments New York Academic Press
   Google Scholar
• Kiffer , J. and Wolfowitz , J. 1960 . “The equivalence of two extremum problems” . Canad. Jour. Hath , 12 : 363 – 366 .
   Google Scholar
• Sibson , R. 1972 . Contribution to the discussion of “Results in the theory and construction of D-optimal experimental design“ . J.R. Statist. Soc. B , 34 : 181 – 183 . H.P. Wynn
   Google Scholar
• Wynn , H. P. 1970 . “The sequential generation of D-optimum experimental designs” . Ann. Math. Statist , 41 : 1655 – 1664 .
   Google Scholar