Design Of Experiments In Nonlinear Models

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Model-Oriented Design of Experiments

Author : Valerii V. Fedorov
Publisher : Springer Science & Business Media
ISBN 13 : 1461207037
Total Pages : 120 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Model-Oriented Design of Experiments by : Valerii V. Fedorov

Download or read book Model-Oriented Design of Experiments written by Valerii V. Fedorov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, the authors explain the basic ideas so as to generate interest in modern problems of experimental design. The topics discussed include designs for inference based on nonlinear models, designs for models with random parameters and stochastic processes, designs for model discrimination and incorrectly specified (contaminated) models, as well as examples of designs in functional spaces. Since the authors avoid technical details, the book assumes only a moderate background in calculus, matrix algebra, and statistics. However, at many places, hints are given as to how readers may enhance and adopt the basic ideas for advanced problems or applications. This allows the book to be used for courses at different levels, as well as serving as a useful reference for graduate students and researchers in statistics and engineering.

Design of Experiments in Nonlinear Models

Author : Luc Pronzato
Publisher :
ISBN 13 : 9781461463641
Total Pages : 416 pages
Book Rating : 4.4/5 (636 download)

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Book Synopsis Design of Experiments in Nonlinear Models by : Luc Pronzato

Download or read book Design of Experiments in Nonlinear Models written by Luc Pronzato and published by . This book was released on 2013-05-01 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Design of Experiments in Nonlinear Models

Author : Luc Pronzato
Publisher : Springer Science & Business Media
ISBN 13 : 1461463637
Total Pages : 404 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Design of Experiments in Nonlinear Models by : Luc Pronzato

Download or read book Design of Experiments in Nonlinear Models written by Luc Pronzato and published by Springer Science & Business Media. This book was released on 2013-04-10 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Design of Experiments in Nonlinear Models: Asymptotic Normality, Optimality Criteria and Small-Sample Properties provides a comprehensive coverage of the various aspects of experimental design for nonlinear models. The book contains original contributions to the theory of optimal experiments that will interest students and researchers in the field. Practitionners motivated by applications will find valuable tools to help them designing their experiments. The first three chapters expose the connections between the asymptotic properties of estimators in parametric models and experimental design, with more emphasis than usual on some particular aspects like the estimation of a nonlinear function of the model parameters, models with heteroscedastic errors, etc. Classical optimality criteria based on those asymptotic properties are then presented thoroughly in a special chapter. Three chapters are dedicated to specific issues raised by nonlinear models. The construction of design criteria derived from non-asymptotic considerations (small-sample situation) is detailed. The connection between design and identifiability/estimability issues is investigated. Several approaches are presented to face the problem caused by the dependence of an optimal design on the value of the parameters to be estimated. A survey of algorithmic methods for the construction of optimal designs is provided.

Optimal Experimental Design for Non-Linear Models

Author : Christos P. Kitsos
Publisher : Springer Science & Business Media
ISBN 13 : 3642452876
Total Pages : 104 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Optimal Experimental Design for Non-Linear Models by : Christos P. Kitsos

Download or read book Optimal Experimental Design for Non-Linear Models written by Christos P. Kitsos and published by Springer Science & Business Media. This book was released on 2014-01-09 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book tackles the Optimal Non-Linear Experimental Design problem from an applications perspective. At the same time it offers extensive mathematical background material that avoids technicalities, making it accessible to non-mathematicians: Biologists, Medical Statisticians, Sociologists, Engineers, Chemists and Physicists will find new approaches to conducting their experiments. The book is recommended for Graduate Students and Researchers.

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.

Handbook of Design and Analysis of Experiments

Author : Angela Dean
Publisher : CRC Press
ISBN 13 : 146650434X
Total Pages : 946 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Handbook of Design and Analysis of Experiments by : Angela Dean

Download or read book Handbook of Design and Analysis of Experiments written by Angela Dean and published by CRC Press. This book was released on 2015-06-26 with total page 946 pages. Available in PDF, EPUB and Kindle. Book excerpt: This carefully edited collection synthesizes the state of the art in the theory and applications of designed experiments and their analyses. It provides a detailed overview of the tools required for the optimal design of experiments and their analyses. The handbook covers many recent advances in the field, including designs for nonlinear models and algorithms applicable to a wide variety of design problems. It also explores the extensive use of experimental designs in marketing, the pharmaceutical industry, engineering and other areas.

Nonlinear Regression Modeling for Engineering Applications

Author : R. Russell Rhinehart
Publisher : John Wiley & Sons
ISBN 13 : 1118597966
Total Pages : 402 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Nonlinear Regression Modeling for Engineering Applications by : R. Russell Rhinehart

Download or read book Nonlinear Regression Modeling for Engineering Applications written by R. Russell Rhinehart and published by John Wiley & Sons. This book was released on 2016-09-26 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since mathematical models express our understanding of how nature behaves, we use them to validate our understanding of the fundamentals about systems (which could be processes, equipment, procedures, devices, or products). Also, when validated, the model is useful for engineering applications related to diagnosis, design, and optimization. First, we postulate a mechanism, then derive a model grounded in that mechanistic understanding. If the model does not fit the data, our understanding of the mechanism was wrong or incomplete. Patterns in the residuals can guide model improvement. Alternately, when the model fits the data, our understanding is sufficient and confidently functional for engineering applications. This book details methods of nonlinear regression, computational algorithms,model validation, interpretation of residuals, and useful experimental design. The focus is on practical applications, with relevant methods supported by fundamental analysis. This book will assist either the academic or industrial practitioner to properly classify the system, choose between the various available modeling options and regression objectives, design experiments to obtain data capturing critical system behaviors, fit the model parameters based on that data, and statistically characterize the resulting model. The author has used the material in the undergraduate unit operations lab course and in advanced control applications.

Sequential Design of Experiments for Nonlinear Models

Author : G. E. P. BOX
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Sequential Design of Experiments for Nonlinear Models by : G. E. P. BOX

Download or read book Sequential Design of Experiments for Nonlinear Models written by G. E. P. BOX and published by . This book was released on 1963 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: To engineers, basic mechanism studies are of interest principally because a deeper understanding makes it possible to cope with engineering design problems in a more intelligent and useful manner than would be possible if the mechanism were entirely unknown. Such mechanism studies consist essentially of two steps: (i) establishing an adequate form for the theoretical model and then (ii) determining precisely the values of its parameters. In this paper it is supposed that step (i) has been accomplished and the form of the theoretical model is therefore known. The problem which confronts the experimenter now is the evaluation of the physical parameters (e.g., rate constants in chemical kinetics examples). The purpose of this paper is to consider the problem of generation of data, i.e., the statistical design of experiments.

Optimal Design for Nonlinear Response Models

Author : Valerii V. Fedorov
Publisher : CRC Press
ISBN 13 : 1439821526
Total Pages : 402 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Optimal Design for Nonlinear Response Models by : Valerii V. Fedorov

Download or read book Optimal Design for Nonlinear Response Models written by Valerii V. Fedorov and published by CRC Press. This book was released on 2013-07-15 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Design for Nonlinear Response Models discusses the theory and applications of model-based experimental design with a strong emphasis on biopharmaceutical studies. The book draws on the authors' many years of experience in academia and the pharmaceutical industry. While the focus is on nonlinear models, the book begins with an explanation of

Design Of Experiments

Author : Bradley Jones
Publisher : Wiley Global Education
ISBN 13 : 1119611237
Total Pages : pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis Design Of Experiments by : Bradley Jones

Download or read book Design Of Experiments written by Bradley Jones and published by Wiley Global Education. This book was released on 2019-12-12 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Design of Experiments: A Modern Approach introduces readers to planning and conducting experiments, analyzing the resulting data, and obtaining valid and objective conclusions. This innovative textbook uses design optimization as its design construction approach, focusing on practical experiments in engineering, science, and business rather than orthogonal designs and extensive analysis. Requiring only first-course knowledge of statistics and familiarity with matrix algebra, student-friendly chapters cover the design process for a range of various types of experiments. The text follows a traditional outline for a design of experiments course, beginning with an introduction to the topic, historical notes, a review of fundamental statistics concepts, and a systematic process for designing and conducting experiments. Subsequent chapters cover simple comparative experiments, variance analysis, two-factor factorial experiments, randomized complete block design, response surface methodology, designs for nonlinear models, and more. Readers gain a solid understanding of the role of experimentation in technology commercialization and product realization activities—including new product design, manufacturing process development, and process improvement—as well as many applications of designed experiments in other areas such as marketing, service operations, e-commerce, and general business operations.

The Design and Analysis of Computer Experiments

Author : Thomas J. Santner
Publisher : Springer
ISBN 13 : 1493988476
Total Pages : 436 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis The Design and Analysis of Computer Experiments by : Thomas J. Santner

Download or read book The Design and Analysis of Computer Experiments written by Thomas J. Santner and published by Springer. This book was released on 2019-01-08 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes methods for designing and analyzing experiments that are conducted using a computer code, a computer experiment, and, when possible, a physical experiment. Computer experiments continue to increase in popularity as surrogates for and adjuncts to physical experiments. Since the publication of the first edition, there have been many methodological advances and software developments to implement these new methodologies. The computer experiments literature has emphasized the construction of algorithms for various data analysis tasks (design construction, prediction, sensitivity analysis, calibration among others), and the development of web-based repositories of designs for immediate application. While it is written at a level that is accessible to readers with Masters-level training in Statistics, the book is written in sufficient detail to be useful for practitioners and researchers. New to this revised and expanded edition: • An expanded presentation of basic material on computer experiments and Gaussian processes with additional simulations and examples • A new comparison of plug-in prediction methodologies for real-valued simulator output • An enlarged discussion of space-filling designs including Latin Hypercube designs (LHDs), near-orthogonal designs, and nonrectangular regions • A chapter length description of process-based designs for optimization, to improve good overall fit, quantile estimation, and Pareto optimization • A new chapter describing graphical and numerical sensitivity analysis tools • Substantial new material on calibration-based prediction and inference for calibration parameters • Lists of software that can be used to fit models discussed in the book to aid practitioners

Fitting Models to Biological Data Using Linear and Nonlinear Regression

Author : Harvey Motulsky
Publisher : Oxford University Press
ISBN 13 : 9780198038344
Total Pages : 352 pages
Book Rating : 4.0/5 (383 download)

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Book Synopsis Fitting Models to Biological Data Using Linear and Nonlinear Regression by : Harvey Motulsky

Download or read book Fitting Models to Biological Data Using Linear and Nonlinear Regression written by Harvey Motulsky and published by Oxford University Press. This book was released on 2004-05-27 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most biologists use nonlinear regression more than any other statistical technique, but there are very few places to learn about curve-fitting. This book, by the author of the very successful Intuitive Biostatistics, addresses this relatively focused need of an extraordinarily broad range of scientists.

New Developments and Applications in Experimental Design

Author : Nancy Flournoy
Publisher : IMS
ISBN 13 : 9780940600461
Total Pages : 218 pages
Book Rating : 4.6/5 (4 download)

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Book Synopsis New Developments and Applications in Experimental Design by : Nancy Flournoy

Download or read book New Developments and Applications in Experimental Design written by Nancy Flournoy and published by IMS. This book was released on 1998 with total page 218 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.

Linear and Nonlinear Models for the Analysis of Repeated Measurements

Author : Edward Vonesh
Publisher : CRC Press
ISBN 13 : 9780824782481
Total Pages : 590 pages
Book Rating : 4.7/5 (824 download)

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Book Synopsis Linear and Nonlinear Models for the Analysis of Repeated Measurements by : Edward Vonesh

Download or read book Linear and Nonlinear Models for the Analysis of Repeated Measurements written by Edward Vonesh and published by CRC Press. This book was released on 1996-11-01 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrates the latest theory, methodology and applications related to the design and analysis of repeated measurement. The text covers a broad range of topics, including the analysis of repeated measures design, general crossover designs, and linear and nonlinear regression models. It also contains a 3.5 IBM compatible disk, with software to implement immediately the techniques.

Nonlinear Models for Repeated Measurement Data

Author : Marie Davidian
Publisher : Routledge
ISBN 13 : 1351428144
Total Pages : 380 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Nonlinear Models for Repeated Measurement Data by : Marie Davidian

Download or read book Nonlinear Models for Repeated Measurement Data written by Marie Davidian and published by Routledge. This book was released on 2017-11-01 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear measurement data arise in a wide variety of biological and biomedical applications, such as longitudinal clinical trials, studies of drug kinetics and growth, and the analysis of assay and laboratory data. Nonlinear Models for Repeated Measurement Data provides the first unified development of methods and models for data of this type, with a detailed treatment of inference for the nonlinear mixed effects and its extensions. A particular strength of the book is the inclusion of several detailed case studies from the areas of population pharmacokinetics and pharmacodynamics, immunoassay and bioassay development and the analysis of growth curves.

Design of Experiments

Author : Bradley Jones
Publisher : Wiley
ISBN 13 : 9781119746010
Total Pages : 0 pages
Book Rating : 4.7/5 (46 download)

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Book Synopsis Design of Experiments by : Bradley Jones

Download or read book Design of Experiments written by Bradley Jones and published by Wiley. This book was released on 2020-07-21 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Design of Experiments: A Modern Approach introduces readers to planning and conducting experiments, analyzing the resulting data, and obtaining valid and objective conclusions. This innovative textbook uses design optimization as its design construction approach, focusing on practical experiments in engineering, science, and business rather than orthogonal designs and extensive analysis. Requiring only first-course knowledge of statistics and familiarity with matrix algebra, student-friendly chapters cover the design process for a range of various types of experiments. The text follows a traditional outline for a design of experiments course, beginning with an introduction to the topic, historical notes, a review of fundamental statistics concepts, and a systematic process for designing and conducting experiments. Subsequent chapters cover simple comparative experiments, variance analysis, two-factor factorial experiments, randomized complete block design, response surface methodology, designs for nonlinear models, and more. Readers gain a solid understanding of the role of experimentation in technology commercialization and product realization activities—including new product design, manufacturing process development, and process improvement—as well as many applications of designed experiments in other areas such as marketing, service operations, e-commerce, and general business operations.