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Original Articles

General Blending Models for Data From Mixture Experiments

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Pages 449-456 | Received 01 Apr 2012, Published online: 18 Nov 2015

References

  • Atkinson, A.C., Donev, A.N., and Tobias, R. (2007), Optimum Experimental Designs, with SAS, New York: Oxford University Press.
  • Becker, N.G. (1968), “Models for the Response of a Mixture,” Journal of the Royal Statistical Society, Series B, 30, 349–358.
  • Becker, N.G. (1970), “Mixture Designs for a Model Linear in the Proportions,” Biometrika, 57, 329–338.
  • Becker, N.G. (1978), “Models and Designs for Experiments With Mixtures,” Australian Journal of Statistics, 20, 195–208.
  • Borkowski, J.J., and Piepel, G.F. (2009), “Uniform Designs for Highly Constrained Mixtures Experiments,” Journal of Quality Technology, 41, 35–47.
  • Chen, J.J., Li, L.A., and Jackson, C.D. (1996), “Analysis of Quantal Response Data From Mixture Experiments,” Environmetrics, 7, 503–512.
  • Chen, W.S., Zhu, W.Y., and Hu, C.J. (1985), “A New Mixture Model With Three or Four Components and Their Quasi D-optimality,” technical report, Northern Illinois University.
  • Claringbold, P.J. (1955), “Use of the Simplex Design in the Study of Joint Action of Related Hormones,” Biometrics, 11, 174–185.
  • Cornell, J.A. (2000), “Fitting a Slack-Variable Model to Mixture Data: Some Questions Raised,” Journal of Quality Technology, 32, 133–147.
  • Cornell, J.A. (2002), Experiments with Mixtures: Designs, Models, and the Analysis of Mixture Data (3rd ed.), New York: Wiley.
  • Darroch, J.N., and Waller, J. (1985), “Additivity and Interaction in Three-Component Experiments With Mixtures,” Biometrika, 72, 153–163.
  • Draper, N.R., and John, R. C.S. (1977a), “Designs in Three and Four Components for Mixtures Models With Inverse Terms,” Technometrics, 19, 117–130.
  • Draper, N.R. (1977b), “A Mixtures Model With Inverse Terms,” Technometrics, 19, 37–46.
  • Draper, N.R., and Lawrence, W. (1965a), “Mixture Designs for Four Factors,” Journal of the Royal Statistical Society, Series B, 27, 473–478.
  • Draper, N.R. (1965b), “Mixture Designs for Three Factors,” Journal of the Royal Statistical Society, Series B, 27, 450–465.
  • Draper, N.R., and Pukelsheim, F. (1998), “Mixture Models Based on Homogeneous Polynomials,” Journal of Statistical Planning and Inference, 71, 303–311.
  • Efroymson, M.A. (1965), “Multiple Regression Analysis,” in Mathematical Methods for Digital Computers, eds. A. Ralston and H. S. Wilf, New York: Wiley.
  • Fang, K.-T., and Wang, Y. (1994), Number Theoretic Methods in Statistics, London: Chapman and Hall.
  • Focke, W.W., Ackermann, M.H., and Coetzer, R. L.J. (2012), “Mixing Rules Based on Power Means and Generalized q-fractions,” Journal of Chemical Engineering of Japan, 45, 1–8.
  • Focke, W.W., Sandrock, C., and Kok, S. (2007), “Weighted-Power-Mean Mixture Model: Application to Multicomponent Liquid Viscosity,” Industrial Engineering Chemistry Research, 46, 4660–4666.
  • Gorman, J.W., and Hinman, J.E. (1962), “Simplex Lattice Designs for Multicomponent Systems,” Technometrics, 4, 463–487.
  • Hackler, W.C., Kriegel, W.W. and Hader, R.J. (1956), “Effect of Raw-Material Ratios on Absorption of Whiteware Compositions,” Journal of the American Ceramic Society, 39, 20–25.
  • Johnson, T.M., and Zabik, M.E. (1981), “Response Surface Methodology for Analysis of Protein Interactions in Angel Food Cakes,” Journal of Food Science, 46, 1226–1230.
  • Kenworthy, O.O. (1963), “Fractional Experiments With Mixtures Using Ratios,” Industrial Quality Control, 19, 24–26.
  • Mazerolle, M.J. (2013), AICcmodavg: Model Selection and Multimodel Inference Based on (Q)AIC(c), R package version 1.35.
  • Ning, J.-H., Fang, K.-T., and Zhou, Y.-D. (2011), “Uniform Design for Experiments With Mixtures,” Communications in Statistics—Theory and Methods, 40, 1734–1742.
  • Piepel, G.F., Szychowski, J.M., and Loeppky, J.L. (2002), “Augmenting Scheffe Linear Mixture Models With Squared and/or Crossproduct Terms,” Journal of Quality Technology, 34, 297–314.
  • Quenouillé, M.H. (1953), The Design and Analysis of Experiments, New York: Hafner.
  • Quenouillé, M.H. (1959), “Experiments With Mixtures,” Journal of the Royal Statistical Society, Series B, 21, 201–202.
  • Quenouillé, M.H. (1963), Discussion of “The Simplex-Centroid Design for Experiments With Mixtures” by H. Scheffé, Journal of the Royal Statistical Society, Series B, 25, 235–263.
  • Scheffé, H. (1958), “Experiments With Mixtures,” Journal of the Royal Statistical Society, Series B, 20, 344–360.
  • Scheffé, H. (1963), “The Simplex-centroid Design for Experiments With Mixtures,” Journal of the Royal Statistical Society, Series B, 25, 235–263.
  • Snee, R.D. (1973), “Techniques for the Analysis of Mixture Data,” Technometrics, 15, 517–528.
  • Thompson, W., and Myers, R. (1968), “Response Surface Designs for Experiments With Mixtures,” Technometrics, 10, 739–756.