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

Cornell, John

Hardcover

ISBN 10: 0471393673 ISBN 13: 9780471393672

Publisher: Wiley, 2002

Synopsis

The most comprehensive, single-volume guide to conductingexperiments with mixtures

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

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

"The author has done a great job in presenting the vitalinformation on experiments with mixtures in a lucid and readablestyle. . . . A very informative, interesting, and useful book on animportant statistical topic."
-Zentralblatt fur Mathematik und Ihre Grenzgebiete

Experiments with Mixtures shows researchers and students how todesign and set up mixture experiments, then analyze the data anddraw inferences from the results. Virtually every technique thathas appeared in the literature of mixtures can be found here, andcomputing formulas for each method are provided with completelyworked examples. Almost all of the numerical examples are takenfrom real experiments. Coverage begins with Scheffe latticedesigns, introducing the use of independent variables, and endswith 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 componentproportions
* Leverage and the Hat Matrix
* Fitting a slack-variable model
* Estimating components of variances in a mixed model using ANOVAtable entries
* Clarification of blocking mates and choice of mates
* Optimizing several responses simultaneously
* Biplots for multiple responses

About this title

From the Publisher

This guide shows 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, for each method, computing formulas are provided with completely worked examples. Coverage begins with Scheffe lattice designs, introducing the use of independent variables and ends with the most current methods. Almost all of the numerical examples are taken from real experiments. It should serve as a supplementary text for courses on experimental design and statistical methods as well as a ready reference to important techniques for research workers in such fields as engineering, the physical sciences, agriculture and medicine.

About the Author

JOHN CORNELL is a professor in the Department of Statistics, University of Florida, Gainesville.

Edition details

• Publisher: Wiley
• Publication date: 2002
• ISBN 10: 0471393673
• ISBN 13: 9780471393672
• Binding: Hardcover
• Language: English
• Edition number: 3
• Number of pages: 680