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Experiments with Mixtures: Designs, Models, and the Analysis of Mixture Data (Wiley Series in Probability and Statistics)
 
 
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Experiments with Mixtures: Designs, Models, and the Analysis of Mixture Data (Wiley Series in Probability and Statistics) [Hardcover]

John A. Cornell (Author)
4.5 out of 5 stars  See all reviews (2 customer reviews)


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Hardcover, April 1990 --  
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Experiments with Mixtures: Designs, Models, and the Analysis of Mixture Data (Wiley Series in Probability and Statistics) Experiments with Mixtures: Designs, Models, and the Analysis of Mixture Data (Wiley Series in Probability and Statistics) 4.5 out of 5 stars (2)
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Book Description

047152221X 978-0471522218 April 1990 2
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.


Editorial Reviews

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) --This text refers to an alternate Hardcover edition.

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.

Product Details

  • Hardcover: 656 pages
  • Publisher: Wiley-Interscience; 2 edition (April 1990)
  • Language: English
  • ISBN-10: 047152221X
  • ISBN-13: 978-0471522218
  • Product Dimensions: 9.1 x 6.1 x 1.2 inches
  • Shipping Weight: 2 pounds
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #2,707,646 in Books (See Top 100 in Books)

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34 of 34 people found the following review helpful:
4.0 out of 5 stars expert coverage of the design and analysis of mixture experiments, May 30, 2008
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.
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5.0 out of 5 stars Anyone who reads this must be a kindred spirit, July 22, 2011
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This review is from: Experiments with Mixtures: Designs, Models, and the Analysis of Mixture Data (Wiley Series in Probability and Statistics) (Hardcover)
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.
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Inside This Book (learn more)
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First Sentence:
Many products are formed by mixing together two or more ingredients. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
minor resins, original mixture problem, designs for experiments with mixtures, linear blending terms, simplex factor space, special cubic model, component blending properties, linear blending model, constrained mixture experiments, mixture component proportions, nonlinear blending properties, candidate design points, binary blending, constrained mixture region, manufacturability index, mixture model forms, original component proportions, simplex region, extreme vertices, ten blends, average burning rate, multicomponent constraints, quadratic mixture model, final model form, cuboidal region
Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, American Statistical Association, University of Florida, User's Guide, Var Prop, Applied Regression Analysis, Biometric Society, Agricultural Experiment Station, Korean Stat, Linear Regression Analysis, Marcel Dekker, Theory Methods
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