Nonlinear Regression Analysis And Its Applications

Author : Douglas M. Bates
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 398 pages
Book Rating : 4.08/5 ( download)

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Download or read book Nonlinear Regression Analysis and Its Applications written by Douglas M. Bates and published by Wiley-Interscience. This book was released on 2007-04-23 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a presentation of the theoretical, practical, and computational aspects of nonlinear regression. There is background material on linear regression, including a geometrical development for linear and nonlinear least squares.

Author : Douglas M. Bates
Publisher : Wiley-Blackwell
ISBN 13 :
Total Pages : 390 pages
Book Rating : 4.31/5 ( download)

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Download or read book Nonlinear Regression Analysis and Its Applications written by Douglas M. Bates and published by Wiley-Blackwell. This book was released on 1988-09-09 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: A balanced presentation of the theoretical, practical, and computational aspects of nonlinear regression. Provides background material on linear regression, including a geometrical development for linear and nonlinear least squares. The authors employ real data sets throughout, and their extensive use of geometric constructs and continuing examples makes the progression of ideas appear very natural. Includes pseudocode for computing algorithms.

Author : R. Russell Rhinehart
Publisher : John Wiley & Sons
ISBN 13 : 1118597966
Total Pages : 402 pages
Book Rating : 4.65/5 ( download)

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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.

Author : George A. F. Seber
Publisher : John Wiley & Sons
ISBN 13 : 0471725307
Total Pages : 768 pages
Book Rating : 4.05/5 ( download)

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Download or read book Nonlinear Regression written by George A. F. Seber and published by John Wiley & Sons. This book was released on 2005-02-25 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. From the Reviews of Nonlinear Regression "A very good book and an important one in that it is likely to become a standard reference for all interested in nonlinear regression; and I would imagine that any statistician concerned with nonlinear regression would want a copy on his shelves." –The Statistician "Nonlinear Regression also includes a reference list of over 700 entries. The compilation of this material and cross-referencing of it is one of the most valuable aspects of the book. Nonlinear Regression can provide the researcher unfamiliar with a particular specialty area of nonlinear regression an introduction to that area of nonlinear regression and access to the appropriate references . . . Nonlinear Regression provides by far the broadest discussion of nonlinear regression models currently available and will be a valuable addition to the library of anyone interested in understanding and using such models including the statistical researcher." –Mathematical Reviews

Author : Barry Glaz
Publisher : John Wiley & Sons
ISBN 13 : 0891183590
Total Pages : 672 pages
Book Rating : 4.94/5 ( download)

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Download or read book Applied Statistics in Agricultural, Biological, and Environmental Sciences written by Barry Glaz and published by John Wiley & Sons. This book was released on 2020-01-22 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: Better experimental design and statistical analysis make for more robust science. A thorough understanding of modern statistical methods can mean the difference between discovering and missing crucial results and conclusions in your research, and can shape the course of your entire research career. With Applied Statistics, Barry Glaz and Kathleen M. Yeater have worked with a team of expert authors to create a comprehensive text for graduate students and practicing scientists in the agricultural, biological, and environmental sciences. The contributors cover fundamental concepts and methodologies of experimental design and analysis, and also delve into advanced statistical topics, all explored by analyzing real agronomic data with practical and creative approaches using available software tools. IN PRESS! This book is being published according to the “Just Published” model, with more chapters to be published online as they are completed.

Author : Christian Ritz
Publisher : Springer Science & Business Media
ISBN 13 : 0387096167
Total Pages : 151 pages
Book Rating : 4.62/5 ( download)

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Download or read book Nonlinear Regression with R written by Christian Ritz and published by Springer Science & Business Media. This book was released on 2008-12-11 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: - Coherent and unified treatment of nonlinear regression with R. - Example-based approach. - Wide area of application.

Author : Douglas M. Bates
Publisher :
ISBN 13 : 9780470317419
Total Pages : 365 pages
Book Rating : 4.18/5 ( download)

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Download or read book Nonlinear Regression Analysis and Its Applications written by Douglas M. Bates and published by . This book was released on 1988 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Sylvie Huet
Publisher : Springer Science & Business Media
ISBN 13 : 147572523X
Total Pages : 161 pages
Book Rating : 4.30/5 ( download)

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Download or read book Statistical Tools for Nonlinear Regression written by Sylvie Huet and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Tools for Nonlinear Regression presents methods for analyzing data. It has been expanded to include binomial, multinomial and Poisson non-linear models. The examples are analyzed with the free software nls2 updated to deal with the new models included in the second edition. The nls2 package is implemented in S-PLUS and R. Several additional tools are included in the package for calculating confidence regions for functions of parameters or calibration intervals, using classical methodology or bootstrap.

Author : Yuichi Mori
Publisher : Springer
ISBN 13 : 9811001596
Total Pages : 80 pages
Book Rating : 4.98/5 ( download)

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Download or read book Nonlinear Principal Component Analysis and Its Applications written by Yuichi Mori and published by Springer. This book was released on 2016-12-09 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book expounds the principle and related applications of nonlinear principal component analysis (PCA), which is useful method to analyze mixed measurement levels data. In the part dealing with the principle, after a brief introduction of ordinary PCA, a PCA for categorical data (nominal and ordinal) is introduced as nonlinear PCA, in which an optimal scaling technique is used to quantify the categorical variables. The alternating least squares (ALS) is the main algorithm in the method. Multiple correspondence analysis (MCA), a special case of nonlinear PCA, is also introduced. All formulations in these methods are integrated in the same manner as matrix operations. Because any measurement levels data can be treated consistently as numerical data and ALS is a very powerful tool for estimations, the methods can be utilized in a variety of fields such as biometrics, econometrics, psychometrics, and sociology. In the applications part of the book, four applications are introduced: variable selection for mixed measurement levels data, sparse MCA, joint dimension reduction and clustering methods for categorical data, and acceleration of ALS computation. The variable selection methods in PCA that originally were developed for numerical data can be applied to any types of measurement levels by using nonlinear PCA. Sparseness and joint dimension reduction and clustering for nonlinear data, the results of recent studies, are extensions obtained by the same matrix operations in nonlinear PCA. Finally, an acceleration algorithm is proposed to reduce the problem of computational cost in the ALS iteration in nonlinear multivariate methods. This book thus presents the usefulness of nonlinear PCA which can be applied to different measurement levels data in diverse fields. As well, it covers the latest topics including the extension of the traditional statistical method, newly proposed nonlinear methods, and computational efficiency in the methods.

Author : Harvey Motulsky
Publisher : Oxford University Press
ISBN 13 : 9780198038344
Total Pages : 352 pages
Book Rating : 4.48/5 ( download)

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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.