Optimal Mixture Experiments

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Optimal Mixture Experiments

Author : B.K. Sinha
Publisher : Springer
ISBN 13 : 8132217861
Total Pages : 209 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Optimal Mixture Experiments by : B.K. Sinha

Download or read book Optimal Mixture Experiments written by B.K. Sinha and published by Springer. This book was released on 2014-05-24 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Optimal Design of Experiments

Author : Peter Goos
Publisher : John Wiley & Sons
ISBN 13 : 1119976162
Total Pages : 249 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Optimal Design of Experiments by : Peter Goos

Download or read book Optimal Design of Experiments written by Peter Goos and published by John Wiley & Sons. This book was released on 2011-06-28 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is an engaging and informative book on the modern practice of experimental design. The authors' writing style is entertaining, the consulting dialogs are extremely enjoyable, and the technical material is presented brilliantly but not overwhelmingly. The book is a joy to read. Everyone who practices or teaches DOE should read this book." - Douglas C. Montgomery, Regents Professor, Department of Industrial Engineering, Arizona State University "It's been said: 'Design for the experiment, don't experiment for the design.' This book ably demonstrates this notion by showing how tailor-made, optimal designs can be effectively employed to meet a client's actual needs. It should be required reading for anyone interested in using the design of experiments in industrial settings." —Christopher J. Nachtsheim, Frank A Donaldson Chair in Operations Management, Carlson School of Management, University of Minnesota This book demonstrates the utility of the computer-aided optimal design approach using real industrial examples. These examples address questions such as the following: How can I do screening inexpensively if I have dozens of factors to investigate? What can I do if I have day-to-day variability and I can only perform 3 runs a day? How can I do RSM cost effectively if I have categorical factors? How can I design and analyze experiments when there is a factor that can only be changed a few times over the study? How can I include both ingredients in a mixture and processing factors in the same study? How can I design an experiment if there are many factor combinations that are impossible to run? How can I make sure that a time trend due to warming up of equipment does not affect the conclusions from a study? How can I take into account batch information in when designing experiments involving multiple batches? How can I add runs to a botched experiment to resolve ambiguities? While answering these questions the book also shows how to evaluate and compare designs. This allows researchers to make sensible trade-offs between the cost of experimentation and the amount of information they obtain.

Optimal Mixture Experiments

Author : Bikas Kumar Sinha
Publisher :
ISBN 13 : 9788132217879
Total Pages : 232 pages
Book Rating : 4.2/5 (178 download)

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Book Synopsis Optimal Mixture Experiments by : Bikas Kumar Sinha

Download or read book Optimal Mixture Experiments written by Bikas Kumar Sinha and published by . This book was released on 2014-06-30 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimal Design of Experiments

Author : Friedrich Pukelsheim
Publisher : SIAM
ISBN 13 : 0898716047
Total Pages : 527 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Optimal Design of Experiments by : Friedrich Pukelsheim

Download or read book Optimal Design of Experiments written by Friedrich Pukelsheim and published by SIAM. This book was released on 2006-04-01 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Design of Experiments offers a rare blend of linear algebra, convex analysis, and statistics. The optimal design for statistical experiments is first formulated as a concave matrix optimization problem. Using tools from convex analysis, the problem is solved generally for a wide class of optimality criteria such as D-, A-, or E-optimality. The book then offers a complementary approach that calls for the study of the symmetry properties of the design problem, exploiting such notions as matrix majorization and the Kiefer matrix ordering. The results are illustrated with optimal designs for polynomial fit models, Bayes designs, balanced incomplete block designs, exchangeable designs on the cube, rotatable designs on the sphere, and many other examples.

Experiments with Mixtures

Author : John A. Cornell
Publisher : John Wiley & Sons
ISBN 13 : 111815049X
Total Pages : 682 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Experiments with Mixtures by : John A. Cornell

Download or read book Experiments with Mixtures written by John A. Cornell and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 :
Total Pages : 428 pages
Book Rating : 4.:/5 (48 download)

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Book Synopsis Experiments with Mixtures by : John A. Cornell

Download or read book Experiments with Mixtures written by John A. Cornell and published by Wiley-Interscience. This book was released on 1843 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Optimum Experimental Designs, With SAS

Author : Anthony Atkinson
Publisher : OUP Oxford
ISBN 13 : 0191537942
Total Pages : 528 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Optimum Experimental Designs, With SAS by : Anthony Atkinson

Download or read book Optimum Experimental Designs, With SAS written by Anthony Atkinson and published by OUP Oxford. This book was released on 2007-05-24 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experiments on patients, processes or plants all have random error, making statistical methods essential for their efficient design and analysis. This book presents the theory and methods of optimum experimental design, making them available through the use of SAS programs. Little previous statistical knowledge is assumed. The first part of the book stresses the importance of models in the analysis of data and introduces least squares fitting and simple optimum experimental designs. The second part presents a more detailed discussion of the general theory and of a wide variety of experiments. The book stresses the use of SAS to provide hands-on solutions for the construction of designs in both standard and non-standard situations. The mathematical theory of the designs is developed in parallel with their construction in SAS, so providing motivation for the development of the subject. Many chapters cover self-contained topics drawn from science, engineering and pharmaceutical investigations, such as response surface designs, blocking of experiments, designs for mixture experiments and for nonlinear and generalized linear models. Understanding is aided by the provision of "SAS tasks" after most chapters as well as by more traditional exercises and a fully supported website. The authors are leading experts in key fields and this book is ideal for statisticians and scientists in academia, research and the process and pharmaceutical industries.

Mathematical and Statistical Applications in Food Engineering

Author : Surajbhan Sevda
Publisher : CRC Press
ISBN 13 : 0429792549
Total Pages : 443 pages
Book Rating : 4.4/5 (297 download)

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Book Synopsis Mathematical and Statistical Applications in Food Engineering by : Surajbhan Sevda

Download or read book Mathematical and Statistical Applications in Food Engineering written by Surajbhan Sevda and published by CRC Press. This book was released on 2020-01-30 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by experts from all over the world, the book comprises the latest applications of mathematical and models in food engineering and fermentation. It provides the fundamentals on statistical methods to solve standard problems associated with food engineering and fermentation technology. Combining theory with a practical, hands-on approach, this book covers key aspects of food engineering. Presenting cuttingedge information, the book is an essential reference on the fundamental concepts associated with food engineering.

Formulation Simplified

Author : Mark J. Anderson
Publisher : Taylor & Francis
ISBN 13 : 1351677519
Total Pages : 198 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Formulation Simplified by : Mark J. Anderson

Download or read book Formulation Simplified written by Mark J. Anderson and published by Taylor & Francis. This book was released on 2018-04-17 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many chemists – especially those most brilliant in their field – fail to appreciate the power of planned experimentation. They dislike the mathematical aspects of statistical analysis. In addition, these otherwise very capable chemists also dismissed predictive models based only on empirical data. Ironically, in the hands of subject matter experts like these elite chemists, the statistical methods of mixture design and analysis provide the means for rapidly converging on optimal compositions. What differentiates Formulation Simplified from the standard statistical texts on mixture design is that the authors make the topic relatively easy and fun to read. They provide a whole new collection of insighful original studies that illustrate the essentials of mixture design and analysis. Solid industrial examples are offered as problems at the end of many chapters for those who are serious about trying new tools on their own. Statistical software to do the computations can be freely accessed via a web site developed in support of this book.

Response Surface Methodology

Author : Raymond H. Myers
Publisher : John Wiley & Sons
ISBN 13 : 1118916034
Total Pages : 856 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Response Surface Methodology by : Raymond H. Myers

Download or read book Response Surface Methodology written by Raymond H. Myers and published by John Wiley & Sons. This book was released on 2016-01-04 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the Third Edition: “This new third edition has been substantially rewritten and updated with new topics and material, new examples and exercises, and to more fully illustrate modern applications of RSM.” - Zentralblatt Math Featuring a substantial revision, the Fourth Edition of Response Surface Methodology: Process and Product Optimization Using Designed Experiments presents updated coverage on the underlying theory and applications of response surface methodology (RSM). Providing the assumptions and conditions necessary to successfully apply RSM in modern applications, the new edition covers classical and modern response surface designs in order to present a clear connection between the designs and analyses in RSM. With multiple revised sections with new topics and expanded coverage, Response Surface Methodology: Process and Product Optimization Using Designed Experiments, Fourth Edition includes: Many updates on topics such as optimal designs, optimization techniques, robust parameter design, methods for design evaluation, computer-generated designs, multiple response optimization, and non-normal responses Additional coverage on topics such as experiments with computer models, definitive screening designs, and data measured with error Expanded integration of examples and experiments, which present up-to-date software applications, such as JMP®, SAS, and Design-Expert®, throughout An extensive references section to help readers stay up-to-date with leading research in the field of RSM An ideal textbook for upper-undergraduate and graduate-level courses in statistics, engineering, and chemical/physical sciences, Response Surface Methodology: Process and Product Optimization Using Designed Experiments, Fourth Edition is also a useful reference for applied statisticians and engineers in disciplines such as quality, process, and chemistry.

Theory Of Optimal Experiments

Author : V.V. Fedorov
Publisher : Elsevier
ISBN 13 : 0323162460
Total Pages : 306 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Theory Of Optimal Experiments by : V.V. Fedorov

Download or read book Theory Of Optimal Experiments written by V.V. Fedorov and published by Elsevier. This book was released on 1972-01-01 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory Of Optimal Experiments

A Primer on Experiments with Mixtures

Author : John A. Cornell
Publisher : John Wiley & Sons
ISBN 13 : 0470907428
Total Pages : 376 pages
Book Rating : 4.4/5 (79 download)

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Book Synopsis A Primer on Experiments with Mixtures by : John A. Cornell

Download or read book A Primer on Experiments with Mixtures written by John A. Cornell and published by John Wiley & Sons. This book was released on 2011-09-26 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Experimental Design with R

Author : Dieter Rasch
Publisher : CRC Press
ISBN 13 : 1439816980
Total Pages : 345 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Optimal Experimental Design with R by : Dieter Rasch

Download or read book Optimal Experimental Design with R written by Dieter Rasch and published by CRC Press. This book was released on 2011-05-18 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experimental design is often overlooked in the literature of applied and mathematical statistics: statistics is taught and understood as merely a collection of methods for analyzing data. Consequently, experimenters seldom think about optimal design, including prerequisites such as the necessary sample size needed for a precise answer for an experi

Experimental Design for Formulation

Author : Wendell F. Smith
Publisher : SIAM
ISBN 13 : 9780898718393
Total Pages : 386 pages
Book Rating : 4.7/5 (183 download)

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Book Synopsis Experimental Design for Formulation by : Wendell F. Smith

Download or read book Experimental Design for Formulation written by Wendell F. Smith and published by SIAM. This book was released on 2005-01-01 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many products, such as foods, personal-care products, beverages, and cleaning agents, are made by mixing ingredients together. This book describes a systematic methodology for formulating such products so that they perform according to one's goals, providing scientists and engineers with a fast track to the implementation of the methodology. Experimental Design for Formulation contains examples from a wide variety of fields and includes a discussion of how to design experiments for a mixture setting and how to fit and interpret models in a mixture setting. It also introduces process variables, the combining of mixture and nonmixture variables in a designed experiment, and the concept of collinearity and the possible problems that can result from its presence. Experimental Design for Formulation is a useful manual for the formulator and can also be used by a resident statistician to teach an in-house short course. Statistical proofs are largely absent, and the formulas that are presented are included to explain how the various software packages carry out the analysis. Many examples are given of output from statistical software packages, and the proper interpretation of computer output is emphasized. Other topics presented include a discussion of an effect in a mixture setting, the presentation of elementary optimization methods, and multiple-response optimization wherein one seeks to optimize more than one response.

Optimization of Complex Systems: Theory, Models, Algorithms and Applications

Author : Hoai An Le Thi
Publisher : Springer
ISBN 13 : 3030218031
Total Pages : 1164 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Optimization of Complex Systems: Theory, Models, Algorithms and Applications by : Hoai An Le Thi

Download or read book Optimization of Complex Systems: Theory, Models, Algorithms and Applications written by Hoai An Le Thi and published by Springer. This book was released on 2019-06-15 with total page 1164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 112 papers selected from about 250 submissions to the 6th World Congress on Global Optimization (WCGO 2019) which takes place on July 8–10, 2019 at University of Lorraine, Metz, France. The book covers both theoretical and algorithmic aspects of Nonconvex Optimization, as well as its applications to modeling and solving decision problems in various domains. It is composed of 10 parts, each of them deals with either the theory and/or methods in a branch of optimization such as Continuous optimization, DC Programming and DCA, Discrete optimization & Network optimization, Multiobjective programming, Optimization under uncertainty, or models and optimization methods in a specific application area including Data science, Economics & Finance, Energy & Water management, Engineering systems, Transportation, Logistics, Resource allocation & Production management. The researchers and practitioners working in Nonconvex Optimization and several application areas can find here many inspiring ideas and useful tools & techniques for their works.

An Agglomeration Of Experiments With Mixture Methodology Volume – II

Author :
Publisher :
ISBN 13 : 9385137980
Total Pages : pages
Book Rating : 4.3/5 (851 download)

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Book Synopsis An Agglomeration Of Experiments With Mixture Methodology Volume – II by :

Download or read book An Agglomeration Of Experiments With Mixture Methodology Volume – II written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Agglomeration Of Experiments With Mixture Methodology Volume – I

Author : Chetan Verma
Publisher : Authors' Ink Publications
ISBN 13 : 9385137999
Total Pages : pages
Book Rating : 4.3/5 (851 download)

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Book Synopsis An Agglomeration Of Experiments With Mixture Methodology Volume – I by : Chetan Verma

Download or read book An Agglomeration Of Experiments With Mixture Methodology Volume – I written by Chetan Verma and published by Authors' Ink Publications. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains selected published research papers present in the literature since late fifties. The authors of the papers are eminent academicians, planners and scientists of repute in their respective areas. In the section on Introduction to Design of Experiments, the short overview is given on design of experiment, its optimality & efficiency criteria. Introduction to Mixture Problem: Design and its Construction, this section contains the basic concept and models for mixture problem, and also contains the construction of designs and its test criteria for mixture problems. Mixture experiments are generally conducted in different branches of agricultural and industrial research where it is not feasible to have the components of the mixture in full range but in some restricted space. Papers giving exhaustive reviews of such situation have been included in Constraints on the Component Proportions and Process Variable in Mixture Experiments. In the section on Optimal Mixture Design contains the papers related with optimality criteria of mixture experiments. In the section on Mixture Model Forms and Additional Topics contain the papers based on the different studies related with the mixture experiments. This is perhaps one of the few attempts to bring together papers on Mixture Experiments with emphasis on agricultural and industrial sectors for promoting mixture methodology.