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Experiments with Mixtures: Designs, Models, and the Analysis of Mixture Data (Wiley Series in Probability and Statistics), by John A. Corn
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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.
- Sales Rank: #3800154 in Books
- Published on: 1990-04
- Original language: English
- Number of items: 1
- Dimensions: 9.41" h x 1.17" w x 6.34" l, 1.94 pounds
- Binding: Hardcover
- 656 pages
Review
“…an excellent book...lively and authoritative…very readable” (Statistical Methods in Medical Research, No.13, 2004)
"Presents response surface methods for analyzing data from mixture experiments." (SciTech Book News, Vol. 26, No. 2, June 2002)
"No one should work with mixtures experiments of any complexity without a copy of this book." (Technometrics, Vol. 44, No. 3, August 2002)
"...a significant improvement since the first edition, and includes the work since the second edition...well-written, and the author makes every possible effort to provide a better understanding and appreciation of the techniques employed in experiments with mixtures." (Mathematical Reviews, 2003a)
"...contains interesting new materials on designs and software and incorporates novel results that were derived in the 10 intervening years since the second edition..." (Journal of the American Statistical Association, March 2003)
"...an authoritative and comprehensive text on the design and statistical analysis of mixture experiments...substantially revised...the book should be a part of a research library." (Journal of Mathematical Psychology, Vol. 47, 2003)
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.
From the Back Cover
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
Most helpful customer reviews
35 of 35 people found the following review helpful.
expert coverage of the design and analysis of mixture experiments
By Michael R. Chernick
The topic of this book is the design and analysis of experiments with mixtures of ingredients. This can be applicable to soft drink manufacturers, pharmaceutical development and many other problems in industry where different chemical combinations are used to produce the best products for a given purpose.
In statistics we commonly refer to mixtures of distributions that are used to model multimodal data. So statistician use to this terminology might think that is what the term mixture means here but it is not! Mixture strictly refers to the products under study being mixtures of chemical ingredients.
John Cornell is a professor of statistics who is acknowledged as one of the leading experts on mixture experiments. This book is his latest work and provides a clear description of the problem and its solutions. Anyone who works on experimenting with mixtures should have this book for a reference.
1 of 1 people found the following review helpful.
Anyone who reads this must be a kindred spirit
By R. F. Peterson
I'm a chemist. An old chemist. A very old chemist. One that has been doing mixture experiments since the mid-80's. Who apparently loaned out his Cornell never to see it again. I know of no other mixtures text book that handles the somewhat complex subject with this level of detail and clarity. Of course these days any number of software publishers offer mixture capability (I happen to use Minitab) which may make a text like this a bit less necessary. I bought this for two reasons - to refresh my fading memory on the matrix algebra details and to fill the empty spot in my book cabinet. I was pleased to be able to find this for fear it was out of print.
0 of 0 people found the following review helpful.
Five Stars
By L. Y. Ki
You can't miss this book if you are specialized in mixture design modelling.
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