Design Of Experiments For Generalized Linear Models

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Design of Experiments for Generalized Linear Models

Author : Kenneth G. Russell
Publisher : CRC Press
ISBN 13 : 0429614411
Total Pages : 208 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Design of Experiments for Generalized Linear Models by : Kenneth G. Russell

Download or read book Design of Experiments for Generalized Linear Models written by Kenneth G. Russell and published by CRC Press. This book was released on 2018-12-14 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalized Linear Models (GLMs) allow many statistical analyses to be extended to important statistical distributions other than the Normal distribution. While numerous books exist on how to analyse data using a GLM, little information is available on how to collect the data that are to be analysed in this way. This is the first book focusing specifically on the design of experiments for GLMs. Much of the research literature on this topic is at a high mathematical level, and without any information on computation. This book explains the motivation behind various techniques, reduces the difficulty of the mathematics, or moves it to one side if it cannot be avoided, and gives examples of how to write and run computer programs using R. Features The generalisation of the linear model to GLMs Background mathematics, and the use of constrained optimisation in R Coverage of the theory behind the optimality of a design Individual chapters on designs for data that have Binomial or Poisson distributions Bayesian experimental design An online resource contains R programs used in the book This book is aimed at readers who have done elementary differentiation and understand minimal matrix algebra, and have familiarity with R. It equips professional statisticians to read the research literature. Nonstatisticians will be able to design their own experiments by following the examples and using the programs provided.

Design of Experiments

Author : Max Morris
Publisher : CRC Press
ISBN 13 : 1439894906
Total Pages : 376 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Design of Experiments by : Max Morris

Download or read book Design of Experiments written by Max Morris and published by CRC Press. This book was released on 2010-07-27 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offering deep insight into the connections between design choice and the resulting statistical analysis, Design of Experiments: An Introduction Based on Linear Models explores how experiments are designed using the language of linear statistical models. The book presents an organized framework for understanding the statistical aspects of experiment

Design of Experiments for Generalized Linear Models

Author : Kenneth Graham Russell
Publisher :
ISBN 13 : 9781498773164
Total Pages : pages
Book Rating : 4.7/5 (731 download)

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Book Synopsis Design of Experiments for Generalized Linear Models by : Kenneth Graham Russell

Download or read book Design of Experiments for Generalized Linear Models written by Kenneth Graham Russell and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "While there are numerous books on the analysis of Generalized Linear Models (GLMs), there is very little information available on how to design the experiments that will collect the data. This book will describe the theory and methods for designing experiments to collect data that will be analysed by GLMs. It shows that the extensive theory underlying design for linear models does not work for GLMs, and gives practical guidance as to how best to design experiments for GLMs. It includes lots of examples to illustrate the topics, and is supplemented by R code for their implementation"--

A First Course in the Design of Experiments

Author : John H. Skillings
Publisher : Routledge
ISBN 13 : 1351469967
Total Pages : 275 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis A First Course in the Design of Experiments by : John H. Skillings

Download or read book A First Course in the Design of Experiments written by John H. Skillings and published by Routledge. This book was released on 2018-05-08 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most texts on experimental design fall into one of two distinct categories. There are theoretical works with few applications and minimal discussion on design, and there are methods books with limited or no discussion of the underlying theory. Furthermore, most of these tend to either treat the analysis of each design separately with little attempt to unify procedures, or they will integrate the analysis for the designs into one general technique. A First Course in the Design of Experiments: A Linear Models Approach stands apart. It presents theory and methods, emphasizes both the design selection for an experiment and the analysis of data, and integrates the analysis for the various designs with the general theory for linear models. The authors begin with a general introduction then lead students through the theoretical results, the various design models, and the analytical concepts that will enable them to analyze virtually any design. Rife with examples and exercises, the text also encourages using computers to analyze data. The authors use the SAS software package throughout the book, but also demonstrate how any regression program can be used for analysis. With its balanced presentation of theory, methods, and applications and its highly readable style, A First Course in the Design of Experiments proves ideal as a text for a beginning graduate or upper-level undergraduate course in the design and analysis of experiments.

Generalized Linear Models

Author : Raymond H. Myers
Publisher : John Wiley & Sons
ISBN 13 : 0470556978
Total Pages : 521 pages
Book Rating : 4.4/5 (75 download)

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Book Synopsis Generalized Linear Models by : Raymond H. Myers

Download or read book Generalized Linear Models written by Raymond H. Myers and published by John Wiley & Sons. This book was released on 2012-01-20 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition "The obvious enthusiasm of Myers, Montgomery, and Vining and their reliance on their many examples as a major focus of their pedagogy make Generalized Linear Models a joy to read. Every statistician working in any area of applied science should buy it and experience the excitement of these new approaches to familiar activities." —Technometrics Generalized Linear Models: With Applications in Engineering and the Sciences, Second Edition continues to provide a clear introduction to the theoretical foundations and key applications of generalized linear models (GLMs). Maintaining the same nontechnical approach as its predecessor, this update has been thoroughly extended to include the latest developments, relevant computational approaches, and modern examples from the fields of engineering and physical sciences. This new edition maintains its accessible approach to the topic by reviewing the various types of problems that support the use of GLMs and providing an overview of the basic, related concepts such as multiple linear regression, nonlinear regression, least squares, and the maximum likelihood estimation procedure. Incorporating the latest developments, new features of this Second Edition include: A new chapter on random effects and designs for GLMs A thoroughly revised chapter on logistic and Poisson regression, now with additional results on goodness of fit testing, nominal and ordinal responses, and overdispersion A new emphasis on GLM design, with added sections on designs for regression models and optimal designs for nonlinear regression models Expanded discussion of weighted least squares, including examples that illustrate how to estimate the weights Illustrations of R code to perform GLM analysis The authors demonstrate the diverse applications of GLMs through numerous examples, from classical applications in the fields of biology and biopharmaceuticals to more modern examples related to engineering and quality assurance. The Second Edition has been designed to demonstrate the growing computational nature of GLMs, as SAS®, Minitab®, JMP®, and R software packages are used throughout the book to demonstrate fitting and analysis of generalized linear models, perform inference, and conduct diagnostic checking. Numerous figures and screen shots illustrating computer output are provided, and a related FTP site houses supplementary material, including computer commands and additional data sets. Generalized Linear Models, Second Edition is an excellent book for courses on regression analysis and regression modeling at the upper-undergraduate and graduate level. It also serves as a valuable reference for engineers, scientists, and statisticians who must understand and apply GLMs in their work.

Experimental Design and Data Analysis for Biologists

Author : Gerald Peter Quinn
Publisher : Cambridge University Press
ISBN 13 : 9780521009768
Total Pages : 560 pages
Book Rating : 4.0/5 (97 download)

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Book Synopsis Experimental Design and Data Analysis for Biologists by : Gerald Peter Quinn

Download or read book Experimental Design and Data Analysis for Biologists written by Gerald Peter Quinn and published by Cambridge University Press. This book was released on 2002-03-21 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regression, analysis of variance, correlation, graphical.

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.

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.

A First Course in the Design of Experiments

Author : John H. Skillings
Publisher : Routledge
ISBN 13 : 1351469975
Total Pages : 696 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis A First Course in the Design of Experiments by : John H. Skillings

Download or read book A First Course in the Design of Experiments written by John H. Skillings and published by Routledge. This book was released on 2018-05-08 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most texts on experimental design fall into one of two distinct categories. There are theoretical works with few applications and minimal discussion on design, and there are methods books with limited or no discussion of the underlying theory. Furthermore, most of these tend to either treat the analysis of each design separately with little attempt to unify procedures, or they will integrate the analysis for the designs into one general technique. A First Course in the Design of Experiments: A Linear Models Approach stands apart. It presents theory and methods, emphasizes both the design selection for an experiment and the analysis of data, and integrates the analysis for the various designs with the general theory for linear models. The authors begin with a general introduction then lead students through the theoretical results, the various design models, and the analytical concepts that will enable them to analyze virtually any design. Rife with examples and exercises, the text also encourages using computers to analyze data. The authors use the SAS software package throughout the book, but also demonstrate how any regression program can be used for analysis. With its balanced presentation of theory, methods, and applications and its highly readable style, A First Course in the Design of Experiments proves ideal as a text for a beginning graduate or upper-level undergraduate course in the design and analysis of experiments.

Analysis of Generalized Linear Mixed Models in the Agricultural and Natural Resources Sciences

Author : Edward E. Gbur
Publisher : John Wiley & Sons
ISBN 13 : 0891181822
Total Pages : 304 pages
Book Rating : 4.8/5 (911 download)

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Book Synopsis Analysis of Generalized Linear Mixed Models in the Agricultural and Natural Resources Sciences by : Edward E. Gbur

Download or read book Analysis of Generalized Linear Mixed Models in the Agricultural and Natural Resources Sciences written by Edward E. Gbur and published by John Wiley & Sons. This book was released on 2020-01-22 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalized Linear Mixed Models in the Agricultural and Natural Resources Sciences provides readers with an understanding and appreciation for the design and analysis of mixed models for non-normally distributed data. It is the only publication of its kind directed specifically toward the agricultural and natural resources sciences audience. Readers will especially benefit from the numerous worked examples based on actual experimental data and the discussion of pitfalls associated with incorrect analyses.

Linear Estimation and Design of Experiments

Author : D. D. Joshi
Publisher : New Age International
ISBN 13 : 9780852265178
Total Pages : 308 pages
Book Rating : 4.2/5 (651 download)

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Book Synopsis Linear Estimation and Design of Experiments by : D. D. Joshi

Download or read book Linear Estimation and Design of Experiments written by D. D. Joshi and published by New Age International. This book was released on 1987 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Theory of the Design of Experiments

Author : D.R. Cox
Publisher : CRC Press
ISBN 13 : 1420035835
Total Pages : 337 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Theory of the Design of Experiments by : D.R. Cox

Download or read book The Theory of the Design of Experiments written by D.R. Cox and published by CRC Press. This book was released on 2000-06-06 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why study the theory of experiment design? Although it can be useful to know about special designs for specific purposes, experience suggests that a particular design can rarely be used directly. It needs adaptation to accommodate the circumstances of the experiment. Successful designs depend upon adapting general theoretical principles to the spec

Generalized Linear Models

Author : P. McCullagh
Publisher : Routledge
ISBN 13 : 1351445847
Total Pages : 361 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Generalized Linear Models by : P. McCullagh

Download or read book Generalized Linear Models written by P. McCullagh and published by Routledge. This book was released on 2019-01-22 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: The success of the first edition of Generalized Linear Models led to the updated Second Edition, which continues to provide a definitive unified, treatment of methods for the analysis of diverse types of data. Today, it remains popular for its clarity, richness of content and direct relevance to agricultural, biological, health, engineering, and ot

Applied Regression Analysis and Generalized Linear Models

Author : John Fox
Publisher : SAGE Publications
ISBN 13 : 1483321312
Total Pages : 612 pages
Book Rating : 4.4/5 (833 download)

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Book Synopsis Applied Regression Analysis and Generalized Linear Models by : John Fox

Download or read book Applied Regression Analysis and Generalized Linear Models written by John Fox and published by SAGE Publications. This book was released on 2015-03-18 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining a modern, data-analytic perspective with a focus on applications in the social sciences, the Third Edition of Applied Regression Analysis and Generalized Linear Models provides in-depth coverage of regression analysis, generalized linear models, and closely related methods, such as bootstrapping and missing data. Updated throughout, this Third Edition includes new chapters on mixed-effects models for hierarchical and longitudinal data. Although the text is largely accessible to readers with a modest background in statistics and mathematics, author John Fox also presents more advanced material in optional sections and chapters throughout the book. Accompanying website resources containing all answers to the end-of-chapter exercises. Answers to odd-numbered questions, as well as datasets and other student resources are available on the author′s website. NEW! Bonus chapter on Bayesian Estimation of Regression Models also available at the author′s website.

Generalized Linear Mixed Models

Author : Walter W. Stroup
Publisher : CRC Press
ISBN 13 : 1439815135
Total Pages : 547 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Generalized Linear Mixed Models by : Walter W. Stroup

Download or read book Generalized Linear Mixed Models written by Walter W. Stroup and published by CRC Press. This book was released on 2016-04-19 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: With numerous examples using SAS PROC GLIMMIX, this text presents an introduction to linear modeling using the generalized linear mixed model as an overarching conceptual framework. For readers new to linear models, the book helps them see the big picture. It shows how linear models fit with the rest of the core statistics curriculum and points out the major issues that statistical modelers must consider.

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.

Applying Generalized Linear Models

Author : James K. Lindsey
Publisher : Springer Science & Business Media
ISBN 13 : 038722730X
Total Pages : 256 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Applying Generalized Linear Models by : James K. Lindsey

Download or read book Applying Generalized Linear Models written by James K. Lindsey and published by Springer Science & Business Media. This book was released on 2008-01-15 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes how generalised linear modelling procedures can be used in many different fields, without becoming entangled in problems of statistical inference. The author shows the unity of many of the commonly used models and provides readers with a taste of many different areas, such as survival models, time series, and spatial analysis, and of their unity. As such, this book will appeal to applied statisticians and to scientists having a basic grounding in modern statistics. With many exercises at the end of each chapter, it will equally constitute an excellent text for teaching applied statistics students and non- statistics majors. The reader is assumed to have knowledge of basic statistical principles, whether from a Bayesian, frequentist, or direct likelihood point of view, being familiar at least with the analysis of the simpler normal linear models, regression and ANOVA.