# Experiments with Mixtures: Designs, Models, and the Analysis of Mixture Data

John Wiley & Sons, Sep 20, 2011 - 680 pages
The most comprehensive, single-volume guide to conducting experiments with mixtures

"If one is involved, or heavily interested, in experiments on mixtures of ingredients, one must obtain this book. It is, as was the first edition, the definitive work."
-Short Book Reviews (Publication of the International Statistical Institute)

"The text contains many examples with worked solutions and with its extensive coverage of the subject matter will prove invaluable to those in the industrial and educational sectors whose work involves the design and analysis of mixture experiments."
-Journal of the Royal Statistical Society

"The author has done a great job in presenting the vital information on experiments with mixtures in a lucid and readable style. . . . A very informative, interesting, and useful book on an important statistical topic."
-Zentralblatt fur Mathematik und Ihre Grenzgebiete

Experiments with Mixtures shows researchers and students how to design and set up mixture experiments, then analyze the data and draw inferences from the results. Virtually every technique that has appeared in the literature of mixtures can be found here, and computing formulas for each method are provided with completely worked examples. Almost all of the numerical examples are taken from real experiments. Coverage begins with Scheffe lattice designs, introducing the use of independent variables, and ends with the most current methods. New material includes:
* Multiple response cases
* Residuals and least-squares estimates
* Categories of components: Mixtures of mixtures
* Fixed as well as variable values for the major component proportions
* Leverage and the Hat Matrix
* Fitting a slack-variable model
* Estimating components of variances in a mixed model using ANOVA table entries
* Clarification of blocking mates and choice of mates
* Optimizing several responses simultaneously
* Biplots for multiple responses

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### Contents

 Designs Models and the Analysis of Mixture Data 1 Introduction 1 Designs Models and the Analysis of Mixture Data 2 The Original Mixture Problem Designs and Models for Exploring the Entire Simplex Factor Space 22 Designs Models and the Analysis of Mixture Data 3 The Use of Independent Variables 96 Designs Models and the Analysis of Mixture Data 4 Multiple Constraints on the Component Proportions 132 Designs Models and the Analysis of Mixture Data 5 The Analysis of Mixture Data 223 Designs Models and the Analysis of Mixture Data 6 Other Mixture Model Forms 286 Designs Models and the Analysis of Mixture Data 7 The Inclusion of Process Variables in Mixture Experiments 354 Designs Models and the Analysis of Mixture Data 8 Additional Topics 438
 Designs Models and the Analysis of Mixture Data 9 Matrix Algebra Least Squares and the Analysis of Variance 521 Designs Models and the Analysis of Mixture Data 10 Data Sets from Mixture Experiments with Partial Solutions 538 Designs Models and the Analysis of Mixture Data Bibliography and Index of Authors 589 Designs Models and the Analysis of Mixture Data Answers to Selected Questions 604 Designs Models and the Analysis of Mixture Data Appendix 637 Designs Models and the Analysis of Mixture Data Index 643 Copyright