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Experiments with Mixtures

Author: John A. Cornell

Publisher: John Wiley & Sons

Published: 2011-09-20

Total Pages: 682

ISBN-13: 111815049X

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

Experiments with Mixtures

Author: John A. Cornell

Publisher: Wiley-Interscience

Published: 1843

Total Pages: 428

ISBN-13:

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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.

A Primer on Experiments with Mixtures

Author: John A. Cornell

Publisher: John Wiley & Sons

Published: 2011-09-26

Total Pages: 376

ISBN-13: 0470907428

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The concise yet authoritative presentation of key techniques for basic mixtures experiments Inspired by the author's bestselling advanced book on the topic, A Primer on Experiments with Mixtures provides an introductory presentation of the key principles behind experimenting with mixtures. Outlining useful techniques through an applied approach with examples from real research situations, the book supplies a comprehensive discussion of how to design and set up basic mixture experiments, then analyze the data and draw inferences from results. Drawing from his extensive experience teaching the topic at various levels, the author presents the mixture experiments in an easy-to-follow manner that is void of unnecessary formulas and theory. Succinct presentations explore key methods and techniques for carrying out basic mixture experiments, including: Designs and models for exploring the entire simplex factor space, with coverage of simplex-lattice and simplex-centroid designs, canonical polynomials, the plotting of individual residuals, and axial designs Multiple constraints on the component proportions in the form of lower and/or upper bounds, introducing L-Pseudocomponents, multicomponent constraints, and multiple lattice designs for major and minor component classifications Techniques for analyzing mixture data such as model reduction and screening components, as well as additional topics such as measuring the leverage of certain design points Models containing ratios of the components, Cox's mixture polynomials, and the fitting of a slack variable model A review of least squares and the analysis of variance for fitting data Each chapter concludes with a summary and appendices with details on the technical aspects of the material. Throughout the book, exercise sets with selected answers allow readers to test their comprehension of the material, and References and Recommended Reading sections outline further resources for study of the presented topics. A Primer on Experiments with Mixtures is an excellent book for one-semester courses on mixture designs and can also serve as a supplement for design of experiments courses at the upper-undergraduate and graduate levels. It is also a suitable reference for practitioners and researchers who have an interest in experiments with mixtures and would like to learn more about the related mixture designs and models.

Optimal Mixture Experiments

Author: B.K. Sinha

Publisher: Springer

Published: 2014-05-24

Total Pages: 209

ISBN-13: 8132217861

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The book dwells mainly on the optimality aspects of mixture designs. As mixture models are a special case of regression models, a general discussion on regression designs has been presented, which includes topics like continuous designs, de la Garza phenomenon, Loewner order domination, Equivalence theorems for different optimality criteria and standard optimality results for single variable polynomial regression and multivariate linear and quadratic regression models. This is followed by a review of the available literature on estimation of parameters in mixture models. Based on recent research findings, the volume also introduces optimal mixture designs for estimation of optimum mixing proportions in different mixture models, which include Scheffé’s quadratic model, Darroch-Waller model, log- contrast model, mixture-amount models, random coefficient models and multi-response model. Robust mixture designs and mixture designs in blocks have been also reviewed. Moreover, some applications of mixture designs in areas like agriculture, pharmaceutics and food and beverages have been presented. Familiarity with the basic concepts of design and analysis of experiments, along with the concept of optimality criteria are desirable prerequisites for a clear understanding of the book. It is likely to be helpful to both theoreticians and practitioners working in the area of mixture experiments.

Incredible Experiments with Chemical Reactions and Mixtures

Author: Paula Navarro

Publisher: B.E.S. Publishing

Published: 2014

Total Pages: 0

ISBN-13: 9781438004273

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Fascinating scientific concepts are simplified and explored in ways that kids will enjoy in the Magic Science series. This one features 16 illustrated, step-by-step experiments that explore concepts like water density, oxidation, and more.

Experiments with Mixtures

Author:

Publisher:

Published: 1979

Total Pages: 447

ISBN-13:

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Mixtures and Solutions

Author: Molly Aloian

Publisher: Crabtree Publishing Company

Published: 2009

Total Pages: 32

ISBN-13: 9780778742432

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Almost everything around us is a combination of different things. These are mixtures and solutions. Seawater, for example, is a solution of salt and water. The engaging text and vivid illustrations in this book will help readers understand how mixtures and solutions form, and how they apply to everyday life.

Mixtures and Solutions

Author: Louise Spilsbury

Publisher: Heinemann-Raintree Library

Published: 2007

Total Pages: 40

ISBN-13: 9781403493392

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Readers will learn about how mixtures and solutions are made and measured; what makes dissolving easier; how we can separate mixtures and solutions; what air is made from; and more.

Mix it Up!

Author: Tracy Maurer

Publisher:

Published: 2013

Total Pages: 0

ISBN-13: 9781618100948

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Mixtures And Solutions Exist Everywhere And Students Will Learn How Some Materials Mix Easily While Others Won't Mix At All. Gives Examples Students Can Use To Make A Physical Mixture And Gives Detailed Information On How Different Components Make Up Different Solutions.

Response Surfaces, Mixtures, and Ridge Analyses

Author: George E. P. Box

Publisher: John Wiley & Sons

Published: 2007-01-22

Total Pages: 880

ISBN-13: 047007275X

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The authority on building empirical models and the fitting of such surfaces to data—completely updated and revised Revising and updating a volume that represents the essential source on building empirical models, George Box and Norman Draper—renowned authorities in this field—continue to set the standard with the Second Edition of Response Surfaces, Mixtures, and Ridge Analyses, providing timely new techniques, new exercises, and expanded material. A comprehensive introduction to building empirical models, this book presents the general philosophy and computational details of a number of important topics, including factorial designs at two levels; fitting first and second-order models; adequacy of estimation and the use of transformation; and occurrence and elucidation of ridge systems. Substantially rewritten, the Second Edition reflects the emergence of ridge analysis of second-order response surfaces as a very practical tool that can be easily applied in a variety of circumstances. This unique, fully developed coverage of ridge analysis—a technique for exploring quadratic response surfaces including surfaces in the space of mixture ingredients and/or subject to linear restrictions—includes MINITAB® routines for performing the calculations for any number of dimensions. Many additional figures are included in the new edition, and new exercises (many based on data from published papers) offer insight into the methods used. The exercises and their solutions provide a variety of supplementary examples of response surface use, forming an extremely important component of the text. Response Surfaces, Mixtures, and Ridge Analyses, Second Edition presents material in a logical and understandable arrangement and includes six new chapters covering an up-to-date presentation of standard ridge analysis (without restrictions); design and analysis of mixtures experiments; ridge analysis methods when there are linear restrictions in the experimental space including the mixtures experiments case, with or without further linear restrictions; and canonical reduction of second-order response surfaces in the foregoing general case. Additional features in the new edition include: New exercises with worked answers added throughout An extensive revision of Chapter 5: Blocking and Fractionating 2k Designs Additional discussion on the projection of two-level designs into lower dimensional spaces This is an ideal reference for researchers as well as a primary text for Response Surface Methodology graduate-level courses and a supplementary text for Design of Experiments courses at the upper-undergraduate and beginning-graduate levels.