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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 19, 1987 - Issue 1
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Articles

Designs for Mixture-Amount Experiments

Gregory F. PiepelBattelle, Pacific Northwest Laboratories, Richland, WA99352View further author information
&
John A. CornellUniversity of Florida, Gainesville, FL32611View further author information
Pages 11-28 | Published online: 21 Feb 2018

References

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  • Becker, N. G. (1978). “Models and Designs for Experiments with Mixtures.” Australian Journal of Statistics 3, pp. 195–208.
  • Cornell, J. A. (1981). Experiments with Mixtures John Wiley and Sons, New York, NY.
  • Cornell, J. A. (1983). How to Run Mixture Experiments for Product Quality, Vol. 5, ASQC Basic References in Quality Control: Statistical Techniques, American Society for Quality Control, Milwaukee, WI.
  • Cornell, J. A. and Gorman, J. W. (1984). “Fractional Design Plans for Process Variables in Mixture Experiments.” Journal of Quality Technology 16, pp. 20–38.
  • Draper, N. R. and St. John, R. C. (1977a). “A Mixtures Model with Inverse Terms.” Technometrics 19, pp. 37–46.
  • Draper, N. R. and St. John, R. C. (1977b). “Designs in Three and Four Components for Mixtures Models with Inverse Terms.” Technometrics 19, pp. 117–130.
  • Kenworthy, O. O. (1963). “Factorial Experiments with Mixtures using Ratios.” Industrial Quality Control 19, pp. 24–26.
  • Mitchell, T. J. (1974). “An Algorithm for the Construction of D-Optimal Experimental Designs.” Technometrics 16, pp. 203–210.
  • Piepel, G. F. (1985). Models and Designs for Generalizations of Mixture Experiments Where the Response Depends on the Total Amount, (Ph.D. dissertation). University Microfilms International, Ann Arbor, MI.
  • Piepel, G. F. and Cornell, J. A. (1985). “Models for Mixture Experiments When the Response Depends on the Total Amount.” Technometrics 27, pp. 219–227.
  • Scheffé, H. (1958). “Experiments with Mixtures.” Journal of the Royal Statistical Society, Series B 20, pp. 344–360.
  • Scheffé, H. (1963). “The Simplex-Centroid Design for Experiments with Mixtures.” Journal of the Royal Statistical Society, Series B 25, pp. 235–251.
  • Snee, R. D. (1971). “Design and Analysis of Mixture Experiments.” Journal of Quality Technology 3, pp. 159–169.
  • Snee, R. D. (1975). “Experimental Designs for Quadratic Models in Constrained Mixture Spaces.” Technometrics 17, pp. 149–159.
  • Snee, R. D. and Marquardt, D. W. (1974). “Extreme Vertices Designs for Linear Mixture Models.” Technometrics 16, pp. 399–408.

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