Experiments with Mixtures, Ill-Conditioning, and Ridge Regression

Experiments with mixtures require a special form of polynomial model called the canonical polynomial model. Moreover, many mixtures problems are also subject to additional constraints that often cause ill-conditioning, or collinearity. Using the eigenva..

[1]  R. Snee,et al.  Ridge Regression in Practice , 1975 .

[2]  L. N. Balaam,et al.  Statistical Theory and Methodology in Science and Engineering , 1966 .

[3]  H. Scheffé.  The Simplex‐Centroid Design for Experiments with Mixtures , 1963 .

[4]  H. Scheffé.  Experiments with Mixtures , 1958 .

[5]  Ronald D. Snee,et al.  Some Aspects of Nonorthogonal Data Analysis: Part I. Developing Prediction Equations , 1973 .

[6]  Norman R. Draper,et al.  Applied regression analysis (2. ed.) , 1981, Wiley series in probability and mathematical statistics.

[7]  Donald W. Marquaridt.  Generalized Inverses, Ridge Regression, Biased Linear Estimation, and Nonlinear Estimation , 1970 .

[8]  J. W. Gorman.  Fitting Equations to Mixture Data with Restraints on Compositions , 1970 .

[9]  Ronald D. Snee,et al.  Assessing the Accuracy of Mixture Model Regression Calculations , 1982 .

[10]  W. W. Muir,et al.  Regression Diagnostics: Identifying Influential Data and Sources of Collinearity , 1980 .

[11]  R. Gunst.  Regression analysis and its application , 1980 .

[12]  Ronald D. Snee,et al.  Experimental Designs for Quadratic Models in Constrained Mixture Spaces , 1975 .

[13]  Virgil L. Anderson,et al.  Extreme Vertices Design of Mixture Experiments , 1966 .

[14]  J. Kiefer,et al.  Optimum Designs in Regression Problems , 1959 .

[15]  Gregory F. Piepel,et al.  Measuring Component Effects in Constrained Mixture Experiments , 1982 .

[16]  Ronald D. Snee,et al.  Screening Concepts and Designs for Experiments with Mixtures , 1976 .