Generalized Linear And Nonlinear Models For Correlated Data

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Generalized Linear and Nonlinear Models for Correlated Data

Edward F. Vonesh
Generalized Linear and Nonlinear Models for Correlated Data Book PDF

Author : Edward F. Vonesh
Publisher : SAS Institute
Page : 529 pages
File Size : 40,5 Mb
Release : 2014-07-07
Category : Mathematics
ISBN : 9781629592305

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Generalized Linear and Nonlinear Models for Correlated Data by Edward F. Vonesh Pdf

Edward Vonesh's Generalized Linear and Nonlinear Models for Correlated Data: Theory and Applications Using SAS is devoted to the analysis of correlated response data using SAS, with special emphasis on applications that require the use of generalized linear models or generalized nonlinear models. Written in a clear, easy-to-understand manner, it provides applied statisticians with the necessary theory, tools, and understanding to conduct complex analyses of continuous and/or discrete correlated data in a longitudinal or clustered data setting. Using numerous and complex examples, the book emphasizes real-world applications where the underlying model requires a nonlinear rather than linear formulation and compares and contrasts the various estimation techniques for both marginal and mixed-effects models. The SAS procedures MIXED, GENMOD, GLIMMIX, and NLMIXED as well as user-specified macros will be used extensively in these applications. In addition, the book provides detailed software code with most examples so that readers can begin applying the various techniques immediately. This book is part of the SAS Press program.

Generalized Linear Models and Correlated Data Methods

Julie Legler,Paul Roback
Generalized Linear Models and Correlated Data Methods Book PDF

Author : Julie Legler,Paul Roback
Publisher : Chapman and Hall/CRC
Page : 400 pages
File Size : 45,7 Mb
Release : 2020-09-15
Category : Mathematics
ISBN : 1439885389

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Generalized Linear Models and Correlated Data Methods by Julie Legler,Paul Roback Pdf

Designed for advanced undergraduate or non-major graduate students in Advanced Statistical Modeling or Regression II as well as courses on Generalized Linear Models, Longitudinal Data Analysis, Correlated Data, or Multilevel Models, this text offers a unified discussion of generalized linear models and correlated data methods. It explores case studies involving real data and details material on R at the end of each chapter. A solutions manual is available for qualified instructors.

Generalized Linear Mixed Models

Charles E. McCulloch
Generalized Linear Mixed Models Book PDF

Author : Charles E. McCulloch
Publisher : IMS
Page : 100 pages
File Size : 49,5 Mb
Release : 2003
Category : Mathematics
ISBN : 0940600544

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Generalized Linear Mixed Models by Charles E. McCulloch Pdf

Wiley Series in Probability and Statistics A modern perspective on mixed models The availability of powerful computing methods in recent decades has thrust linear and nonlinear mixed models into the mainstream of statistical application. This volume offers a modern perspective on generalized, linear, and mixed models, presenting a unified and accessible treatment of the newest statistical methods for analyzing correlated, nonnormally distributed data. As a follow-up to Searle's classic, Linear Models, and Variance Components by Searle, Casella, and McCulloch, this new work progresses from the basic one-way classification to generalized linear mixed models. A variety of statistical methods are explained and illustrated, with an emphasis on maximum likelihood and restricted maximum likelihood. An invaluable resource for applied statisticians and industrial practitioners, as well as students interested in the latest results, Generalized, Linear, and Mixed Models features: * A review of the basics of linear models and linear mixed models * Descriptions of models for nonnormal data, including generalized linear and nonlinear models * Analysis and illustration of techniques for a variety of real data sets * Information on the accommodation of longitudinal data using these models * Coverage of the prediction of realized values of random effects * A discussion of the impact of computing issues on mixed models

Modelling Longitudinal and Spatially Correlated Data

Timothy G. Gregoire,David R. Brillinger,Peter Diggle,Estelle Russek-Cohen,William G. Warren,Russell D. Wolfinger
Modelling Longitudinal and Spatially Correlated Data Book PDF

Author : Timothy G. Gregoire,David R. Brillinger,Peter Diggle,Estelle Russek-Cohen,William G. Warren,Russell D. Wolfinger
Publisher : Springer Science & Business Media
Page : 404 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461206996

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Modelling Longitudinal and Spatially Correlated Data by Timothy G. Gregoire,David R. Brillinger,Peter Diggle,Estelle Russek-Cohen,William G. Warren,Russell D. Wolfinger Pdf

Correlated data arise in numerous contexts across a wide spectrum of subject-matter disciplines. Modeling such data present special challenges and opportunities that have received increasing scrutiny by the statistical community in recent years. In October 1996 a group of 210 statisticians and other scientists assembled on the small island of Nantucket, U. S. A. , to present and discuss new developments relating to Modelling Longitudinal and Spatially Correlated Data: Methods, Applications, and Future Direc tions. Its purpose was to provide a cross-disciplinary forum to explore the commonalities and meaningful differences in the source and treatment of such data. This volume is a compilation of some of the important invited and volunteered presentations made during that conference. The three days and evenings of oral and displayed presentations were arranged into six broad thematic areas. The session themes, the invited speakers and the topics they addressed were as follows: • Generalized Linear Models: Peter McCullagh-"Residual Likelihood in Linear and Generalized Linear Models" • Longitudinal Data Analysis: Nan Laird-"Using the General Linear Mixed Model to Analyze Unbalanced Repeated Measures and Longi tudinal Data" • Spatio---Temporal Processes: David R. Brillinger-"Statistical Analy sis of the Tracks of Moving Particles" • Spatial Data Analysis: Noel A. Cressie-"Statistical Models for Lat tice Data" • Modelling Messy Data: Raymond J. Carroll-"Some Results on Gen eralized Linear Mixed Models with Measurement Error in Covariates" • Future Directions: Peter J.

Generalized, Linear, and Mixed Models

Charles E. McCulloch,Shayle R. Searle,John M. Neuhaus
Generalized Linear and Mixed Models Book PDF

Author : Charles E. McCulloch,Shayle R. Searle,John M. Neuhaus
Publisher : John Wiley & Sons
Page : 281 pages
File Size : 44,7 Mb
Release : 2011-09-20
Category : Social Science
ISBN : 9781118209967

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Generalized, Linear, and Mixed Models by Charles E. McCulloch,Shayle R. Searle,John M. Neuhaus Pdf

An accessible and self-contained introduction to statistical models-now in a modernized new edition Generalized, Linear, and Mixed Models, Second Edition provides an up-to-date treatment of the essential techniques for developing and applying a wide variety of statistical models. The book presents thorough and unified coverage of the theory behind generalized, linear, and mixed models and highlights their similarities and differences in various construction, application, and computational aspects. A clear introduction to the basic ideas of fixed effects models, random effects models, and mixed models is maintained throughout, and each chapter illustrates how these models are applicable in a wide array of contexts. In addition, a discussion of general methods for the analysis of such models is presented with an emphasis on the method of maximum likelihood for the estimation of parameters. The authors also provide comprehensive coverage of the latest statistical models for correlated, non-normally distributed data. Thoroughly updated to reflect the latest developments in the field, the Second Edition features: A new chapter that covers omitted covariates, incorrect random effects distribution, correlation of covariates and random effects, and robust variance estimation A new chapter that treats shared random effects models, latent class models, and properties of models A revised chapter on longitudinal data, which now includes a discussion of generalized linear models, modern advances in longitudinal data analysis, and the use between and within covariate decompositions Expanded coverage of marginal versus conditional models Numerous new and updated examples With its accessible style and wealth of illustrative exercises, Generalized, Linear, and Mixed Models, Second Edition is an ideal book for courses on generalized linear and mixed models at the upper-undergraduate and beginning-graduate levels. It also serves as a valuable reference for applied statisticians, industrial practitioners, and researchers.

Mixed Effects Models for Complex Data

Lang Wu
Mixed Effects Models for Complex Data Book PDF

Author : Lang Wu
Publisher : CRC Press
Page : 431 pages
File Size : 41,8 Mb
Release : 2009-11-11
Category : Mathematics
ISBN : 1420074083

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Mixed Effects Models for Complex Data by Lang Wu Pdf

Although standard mixed effects models are useful in a range of studies, other approaches must often be used in correlation with them when studying complex or incomplete data. Mixed Effects Models for Complex Data discusses commonly used mixed effects models and presents appropriate approaches to address dropouts, missing data, measurement errors, censoring, and outliers. For each class of mixed effects model, the author reviews the corresponding class of regression model for cross-sectional data. An overview of general models and methods, along with motivating examples After presenting real data examples and outlining general approaches to the analysis of longitudinal/clustered data and incomplete data, the book introduces linear mixed effects (LME) models, generalized linear mixed models (GLMMs), nonlinear mixed effects (NLME) models, and semiparametric and nonparametric mixed effects models. It also includes general approaches for the analysis of complex data with missing values, measurement errors, censoring, and outliers. Self-contained coverage of specific topics Subsequent chapters delve more deeply into missing data problems, covariate measurement errors, and censored responses in mixed effects models. Focusing on incomplete data, the book also covers survival and frailty models, joint models of survival and longitudinal data, robust methods for mixed effects models, marginal generalized estimating equation (GEE) models for longitudinal or clustered data, and Bayesian methods for mixed effects models. Background material In the appendix, the author provides background information, such as likelihood theory, the Gibbs sampler, rejection and importance sampling methods, numerical integration methods, optimization methods, bootstrap, and matrix algebra. Failure to properly address missing data, measurement errors, and other issues in statistical analyses can lead to severely biased or misleading results. This book explores the biases that arise when naïve methods are used and shows which approaches should be used to achieve accurate results in longitudinal data analysis.

Correlated Data Analysis: Modeling, Analytics, and Applications

Peter X. -K. Song
Correlated Data Analysis Modeling Analytics and Applications Book PDF

Author : Peter X. -K. Song
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 50,8 Mb
Release : 2007-06-30
Category : Mathematics
ISBN : 9780387713939

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Correlated Data Analysis: Modeling, Analytics, and Applications by Peter X. -K. Song Pdf

This book covers recent developments in correlated data analysis. It utilizes the class of dispersion models as marginal components in the formulation of joint models for correlated data. This enables the book to cover a broader range of data types than the traditional generalized linear models. The reader is provided with a systematic treatment for the topic of estimating functions, and both generalized estimating equations (GEE) and quadratic inference functions (QIF) are studied as special cases. In addition to the discussions on marginal models and mixed-effects models, this book covers new topics on joint regression analysis based on Gaussian copulas.

Generalized Linear Models with Random Effects

Youngjo Lee,John A. Nelder,Yudi Pawitan
Generalized Linear Models with Random Effects Book PDF

Author : Youngjo Lee,John A. Nelder,Yudi Pawitan
Publisher : CRC Press
Page : 416 pages
File Size : 40,7 Mb
Release : 2006-07-13
Category : Mathematics
ISBN : 9781420011340

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Generalized Linear Models with Random Effects by Youngjo Lee,John A. Nelder,Yudi Pawitan Pdf

Since their introduction in 1972, generalized linear models (GLMs) have proven useful in the generalization of classical normal models. Presenting methods for fitting GLMs with random effects to data, Generalized Linear Models with Random Effects: Unified Analysis via H-likelihood explores a wide range of applications, including combining information over trials (meta-analysis), analysis of frailty models for survival data, genetic epidemiology, and analysis of spatial and temporal models with correlated errors. Written by pioneering authorities in the field, this reference provides an introduction to various theories and examines likelihood inference and GLMs. The authors show how to extend the class of GLMs while retaining as much simplicity as possible. By maximizing and deriving other quantities from h-likelihood, they also demonstrate how to use a single algorithm for all members of the class, resulting in a faster algorithm as compared to existing alternatives. Complementing theory with examples, many of which can be run by using the code supplied on the accompanying CD, this book is beneficial to statisticians and researchers involved in the above applications as well as quality-improvement experiments and missing-data analysis.

Beyond Multiple Linear Regression

Paul Roback,Julie Legler
Beyond Multiple Linear Regression Book PDF

Author : Paul Roback,Julie Legler
Publisher : CRC Press
Page : 436 pages
File Size : 46,5 Mb
Release : 2021-01-14
Category : Mathematics
ISBN : 9781439885406

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Beyond Multiple Linear Regression by Paul Roback,Julie Legler Pdf

Beyond Multiple Linear Regression: Applied Generalized Linear Models and Multilevel Models in R is designed for undergraduate students who have successfully completed a multiple linear regression course, helping them develop an expanded modeling toolkit that includes non-normal responses and correlated structure. Even though there is no mathematical prerequisite, the authors still introduce fairly sophisticated topics such as likelihood theory, zero-inflated Poisson, and parametric bootstrapping in an intuitive and applied manner. The case studies and exercises feature real data and real research questions; thus, most of the data in the textbook comes from collaborative research conducted by the authors and their students, or from student projects. Every chapter features a variety of conceptual exercises, guided exercises, and open-ended exercises using real data. After working through this material, students will develop an expanded toolkit and a greater appreciation for the wider world of data and statistical modeling. A solutions manual for all exercises is available to qualified instructors at the book’s website at www.routledge.com, and data sets and Rmd files for all case studies and exercises are available at the authors’ GitHub repo (https://github.com/proback/BeyondMLR)

An Introduction to Generalized Linear Models

Annette J. Dobson,Adrian G. Barnett
An Introduction to Generalized Linear Models Book PDF

Author : Annette J. Dobson,Adrian G. Barnett
Publisher : CRC Press
Page : 376 pages
File Size : 54,8 Mb
Release : 2018-04-17
Category : Mathematics
ISBN : 9781351726221

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An Introduction to Generalized Linear Models by Annette J. Dobson,Adrian G. Barnett Pdf

An Introduction to Generalized Linear Models, Fourth Edition provides a cohesive framework for statistical modelling, with an emphasis on numerical and graphical methods. This new edition of a bestseller has been updated with new sections on non-linear associations, strategies for model selection, and a Postface on good statistical practice. Like its predecessor, this edition presents the theoretical background of generalized linear models (GLMs) before focusing on methods for analyzing particular kinds of data. It covers Normal, Poisson, and Binomial distributions; linear regression models; classical estimation and model fitting methods; and frequentist methods of statistical inference. After forming this foundation, the authors explore multiple linear regression, analysis of variance (ANOVA), logistic regression, log-linear models, survival analysis, multilevel modeling, Bayesian models, and Markov chain Monte Carlo (MCMC) methods. Introduces GLMs in a way that enables readers to understand the unifying structure that underpins them Discusses common concepts and principles of advanced GLMs, including nominal and ordinal regression, survival analysis, non-linear associations and longitudinal analysis Connects Bayesian analysis and MCMC methods to fit GLMs Contains numerous examples from business, medicine, engineering, and the social sciences Provides the example code for R, Stata, and WinBUGS to encourage implementation of the methods Offers the data sets and solutions to the exercises online Describes the components of good statistical practice to improve scientific validity and reproducibility of results. Using popular statistical software programs, this concise and accessible text illustrates practical approaches to estimation, model fitting, and model comparisons.

Generalized Linear Mixed Models

Walter W. Stroup
Generalized Linear Mixed Models Book PDF

Author : Walter W. Stroup
Publisher : CRC Press
Page : 547 pages
File Size : 55,9 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9781439815137

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Generalized Linear Mixed Models by Walter W. Stroup Pdf

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.

An Introduction to Generalized Linear Models

Annette J. Dobson,Adrian Barnett
An Introduction to Generalized Linear Models Book PDF

Author : Annette J. Dobson,Adrian Barnett
Publisher : CRC Press
Page : 316 pages
File Size : 43,7 Mb
Release : 2008-05-12
Category : Mathematics
ISBN : 9781584889519

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An Introduction to Generalized Linear Models by Annette J. Dobson,Adrian Barnett Pdf

Continuing to emphasize numerical and graphical methods, An Introduction to Generalized Linear Models, Third Edition provides a cohesive framework for statistical modeling. This new edition of a bestseller has been updated with Stata, R, and WinBUGS code as well as three new chapters on Bayesian analysis. Like its predecessor, this edition presents the theoretical background of generalized linear models (GLMs) before focusing on methods for analyzing particular kinds of data. It covers normal, Poisson, and binomial distributions; linear regression models; classical estimation and model fitting methods; and frequentist methods of statistical inference. After forming this foundation, the authors explore multiple linear regression, analysis of variance (ANOVA), logistic regression, log-linear models, survival analysis, multilevel modeling, Bayesian models, and Markov chain Monte Carlo (MCMC) methods. Using popular statistical software programs, this concise and accessible text illustrates practical approaches to estimation, model fitting, and model comparisons. It includes examples and exercises with complete data sets for nearly all the models covered.

Foundations of Linear and Generalized Linear Models

Alan Agresti
Foundations of Linear and Generalized Linear Models Book PDF

Author : Alan Agresti
Publisher : John Wiley & Sons
Page : 471 pages
File Size : 45,7 Mb
Release : 2015-02-23
Category : Mathematics
ISBN : 9781118730034

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Foundations of Linear and Generalized Linear Models by Alan Agresti Pdf

A valuable overview of the most important ideas and results in statistical modeling Written by a highly-experienced author, Foundations of Linear and Generalized Linear Models is a clear and comprehensive guide to the key concepts and results of linearstatistical models. The book presents a broad, in-depth overview of the most commonly usedstatistical models by discussing the theory underlying the models, R software applications,and examples with crafted models to elucidate key ideas and promote practical modelbuilding. The book begins by illustrating the fundamentals of linear models, such as how the model-fitting projects the data onto a model vector subspace and how orthogonal decompositions of the data yield information about the effects of explanatory variables. Subsequently, the book covers the most popular generalized linear models, which include binomial and multinomial logistic regression for categorical data, and Poisson and negative binomial loglinear models for count data. Focusing on the theoretical underpinnings of these models, Foundations ofLinear and Generalized Linear Models also features: An introduction to quasi-likelihood methods that require weaker distributional assumptions, such as generalized estimating equation methods An overview of linear mixed models and generalized linear mixed models with random effects for clustered correlated data, Bayesian modeling, and extensions to handle problematic cases such as high dimensional problems Numerous examples that use R software for all text data analyses More than 400 exercises for readers to practice and extend the theory, methods, and data analysis A supplementary website with datasets for the examples and exercises An invaluable textbook for upper-undergraduate and graduate-level students in statistics and biostatistics courses, Foundations of Linear and Generalized Linear Models is also an excellent reference for practicing statisticians and biostatisticians, as well as anyone who is interested in learning about the most important statistical models for analyzing data.

Generalized Linear Models

P. McCullagh
Generalized Linear Models Book PDF

Author : P. McCullagh
Publisher : Routledge
Page : 361 pages
File Size : 45,9 Mb
Release : 2019-01-22
Category : Mathematics
ISBN : 9781351445849

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Generalized Linear Models by P. McCullagh Pdf

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

Linear and Nonlinear Models for the Analysis of Repeated Measurements

Edward Vonesh,Vernon M. Chinchilli
Linear and Nonlinear Models for the Analysis of Repeated Measurements Book PDF

Author : Edward Vonesh,Vernon M. Chinchilli
Publisher : CRC Press
Page : 590 pages
File Size : 50,5 Mb
Release : 1996-11-01
Category : Mathematics
ISBN : 0824782488

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Linear and Nonlinear Models for the Analysis of Repeated Measurements by Edward Vonesh,Vernon M. Chinchilli Pdf

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.