Applied Mixed Model Analysis

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Applied Mixed Model Analysis

Author : Jos W. R. Twisk
Publisher : Cambridge University Press
Page : 249 pages
File Size : 45,8 Mb
Release : 2019-04-18
Category : Mathematics
ISBN : 9781108480574

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Applied Mixed Model Analysis by Jos W. R. Twisk Pdf

Emphasizing interpretation of results, this hands-on guide explains why, when, and how to use mixed models with your data.

Applied Mixed Models in Medicine

Author : Helen Brown,Robin Prescott
Publisher : John Wiley & Sons
Page : 536 pages
File Size : 49,5 Mb
Release : 2014-12-12
Category : Medical
ISBN : 9781118778241

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Applied Mixed Models in Medicine by Helen Brown,Robin Prescott Pdf

A fully updated edition of this key text on mixed models, focusing on applications in medical research The application of mixed models is an increasingly popular way of analysing medical data, particularly in the pharmaceutical industry. A mixed model allows the incorporation of both fixed and random variables within a statistical analysis, enabling efficient inferences and more information to be gained from the data. There have been many recent advances in mixed modelling, particularly regarding the software and applications. This third edition of Brown and Prescott’s groundbreaking text provides an update on the latest developments, and includes guidance on the use of current SAS techniques across a wide range of applications. Presents an overview of the theory and applications of mixed models in medical research, including the latest developments and new sections on incomplete block designs and the analysis of bilateral data. Easily accessible to practitioners in any area where mixed models are used, including medical statisticians and economists. Includes numerous examples using real data from medical and health research, and epidemiology, illustrated with SAS code and output. Features the new version of SAS, including new graphics for model diagnostics and the procedure PROC MCMC. Supported by a website featuring computer code, data sets, and further material. This third edition will appeal to applied statisticians working in medical research and the pharmaceutical industry, as well as teachers and students of statistics courses in mixed models. The book will also be of great value to a broad range of scientists, particularly those working in the medical and pharmaceutical areas.

Linear Mixed Models

Author : Brady T. West,Kathleen B. Welch,Andrzej T Galecki
Publisher : CRC Press
Page : 376 pages
File Size : 43,7 Mb
Release : 2006-11-22
Category : Mathematics
ISBN : 9781420010435

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Linear Mixed Models by Brady T. West,Kathleen B. Welch,Andrzej T Galecki Pdf

Simplifying the often confusing array of software programs for fitting linear mixed models (LMMs), Linear Mixed Models: A Practical Guide Using Statistical Software provides a basic introduction to primary concepts, notation, software implementation, model interpretation, and visualization of clustered and longitudinal data. This easy-to-nav

Mixed Effects Models for Complex Data

Author : Lang Wu
Publisher : CRC Press
Page : 431 pages
File Size : 53,5 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.

Linear Mixed-Effects Models Using R

Author : Andrzej Gałecki,Tomasz Burzykowski
Publisher : Springer Science & Business Media
Page : 558 pages
File Size : 51,9 Mb
Release : 2013-02-05
Category : Mathematics
ISBN : 9781461439004

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Linear Mixed-Effects Models Using R by Andrzej Gałecki,Tomasz Burzykowski Pdf

Linear mixed-effects models (LMMs) are an important class of statistical models that can be used to analyze correlated data. Such data are encountered in a variety of fields including biostatistics, public health, psychometrics, educational measurement, and sociology. This book aims to support a wide range of uses for the models by applied researchers in those and other fields by providing state-of-the-art descriptions of the implementation of LMMs in R. To help readers to get familiar with the features of the models and the details of carrying them out in R, the book includes a review of the most important theoretical concepts of the models. The presentation connects theory, software and applications. It is built up incrementally, starting with a summary of the concepts underlying simpler classes of linear models like the classical regression model, and carrying them forward to LMMs. A similar step-by-step approach is used to describe the R tools for LMMs. All the classes of linear models presented in the book are illustrated using real-life data. The book also introduces several novel R tools for LMMs, including new class of variance-covariance structure for random-effects, methods for influence diagnostics and for power calculations. They are included into an R package that should assist the readers in applying these and other methods presented in this text.

Robust Mixed Model Analysis

Author : Jiang Jiming
Publisher : World Scientific
Page : 268 pages
File Size : 40,9 Mb
Release : 2019-04-10
Category : Mathematics
ISBN : 9789814733854

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Robust Mixed Model Analysis by Jiang Jiming Pdf

Mixed-effects models have found broad applications in various fields. As a result, the interest in learning and using these models is rapidly growing. On the other hand, some of these models, such as the linear mixed models and generalized linear mixed models, are highly parametric, involving distributional assumptions that may not be satisfied in real-life problems. Therefore, it is important, from a practical standpoint, that the methods of inference about these models are robust to violation of model assumptions. Fortunately, there is a full scale of methods currently available that are robust in certain aspects. Learning about these methods is essential for the practice of mixed-effects models.This research monograph provides a comprehensive account of methods of mixed model analysis that are robust in various aspects, such as to violation of model assumptions, or to outliers. It is suitable as a reference book for a practitioner who uses the mixed-effects models, and a researcher who studies these models. It can also be treated as a graduate text for a course on mixed-effects models and their applications.

Applied Mixed Models in Medicine

Author : Helen Brown,Robin Prescott
Publisher : John Wiley & Sons
Page : 548 pages
File Size : 53,7 Mb
Release : 2015-02-16
Category : Medical
ISBN : 9781118778258

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Applied Mixed Models in Medicine by Helen Brown,Robin Prescott Pdf

A fully updated edition of this key text on mixed models, focusing on applications in medical research The application of mixed models is an increasingly popular way of analysing medical data, particularly in the pharmaceutical industry. A mixed model allows the incorporation of both fixed and random variables within a statistical analysis, enabling efficient inferences and more information to be gained from the data. There have been many recent advances in mixed modelling, particularly regarding the software and applications. This third edition of Brown and Prescott’s groundbreaking text provides an update on the latest developments, and includes guidance on the use of current SAS techniques across a wide range of applications. Presents an overview of the theory and applications of mixed models in medical research, including the latest developments and new sections on incomplete block designs and the analysis of bilateral data. Easily accessible to practitioners in any area where mixed models are used, including medical statisticians and economists. Includes numerous examples using real data from medical and health research, and epidemiology, illustrated with SAS code and output. Features the new version of SAS, including new graphics for model diagnostics and the procedure PROC MCMC. Supported by a website featuring computer code, data sets, and further material. This third edition will appeal to applied statisticians working in medical research and the pharmaceutical industry, as well as teachers and students of statistics courses in mixed models. The book will also be of great value to a broad range of scientists, particularly those working in the medical and pharmaceutical areas.

Mixed-Effects Models in S and S-PLUS

Author : José C. Pinheiro,Douglas Bates
Publisher : Springer Science & Business Media
Page : 538 pages
File Size : 46,8 Mb
Release : 2009-04-15
Category : Computers
ISBN : 9781441903174

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Mixed-Effects Models in S and S-PLUS by José C. Pinheiro,Douglas Bates Pdf

R, linear models, random, fixed, data, analysis, fit.

Linear Mixed Models for Longitudinal Data

Author : Geert Verbeke,Geert Molenberghs
Publisher : Springer Science & Business Media
Page : 570 pages
File Size : 54,6 Mb
Release : 2009-05-12
Category : Mathematics
ISBN : 9781441903006

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Linear Mixed Models for Longitudinal Data by Geert Verbeke,Geert Molenberghs Pdf

This book provides a comprehensive treatment of linear mixed models for continuous longitudinal data. Next to model formulation, this edition puts major emphasis on exploratory data analysis for all aspects of the model, such as the marginal model, subject-specific profiles, and residual covariance structure. Further, model diagnostics and missing data receive extensive treatment. Sensitivity analysis for incomplete data is given a prominent place. Most analyses were done with the MIXED procedure of the SAS software package, but the data analyses are presented in a software-independent fashion.

SAS for Mixed Models

Author : Walter W. Stroup,George A. Milliken,Elizabeth A. Claassen,Russell D. Wolfinger
Publisher : SAS Institute
Page : 608 pages
File Size : 48,8 Mb
Release : 2018-12-12
Category : Computers
ISBN : 9781635261523

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SAS for Mixed Models by Walter W. Stroup,George A. Milliken,Elizabeth A. Claassen,Russell D. Wolfinger Pdf

Discover the power of mixed models with SAS. Mixed models—now the mainstream vehicle for analyzing most research data—are part of the core curriculum in most master’s degree programs in statistics and data science. In a single volume, this book updates both SAS® for Linear Models, Fourth Edition, and SAS® for Mixed Models, Second Edition, covering the latest capabilities for a variety of applications featuring the SAS GLIMMIX and MIXED procedures. Written for instructors of statistics, graduate students, scientists, statisticians in business or government, and other decision makers, SAS® for Mixed Models is the perfect entry for those with a background in two-way analysis of variance, regression, and intermediate-level use of SAS. This book expands coverage of mixed models for non-normal data and mixed-model-based precision and power analysis, including the following topics: Random-effect-only and random-coefficients models Multilevel, split-plot, multilocation, and repeated measures models Hierarchical models with nested random effects Analysis of covariance models Generalized linear mixed models This book is part of the SAS Press program.

Mixed Models

Author : Eugene Demidenko
Publisher : John Wiley & Sons
Page : 768 pages
File Size : 47,7 Mb
Release : 2013-08-05
Category : Mathematics
ISBN : 9781118091579

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Mixed Models by Eugene Demidenko Pdf

Praise for the First Edition “This book will serve to greatly complement the growing number of texts dealing with mixed models, and I highly recommend including it in one’s personal library.” —Journal of the American Statistical Association Mixed modeling is a crucial area of statistics, enabling the analysis of clustered and longitudinal data. Mixed Models: Theory and Applications with R, Second Edition fills a gap in existing literature between mathematical and applied statistical books by presenting a powerful examination of mixed model theory and application with special attention given to the implementation in R. The new edition provides in-depth mathematical coverage of mixed models’ statistical properties and numerical algorithms, as well as nontraditional applications, such as regrowth curves, shapes, and images. The book features the latest topics in statistics including modeling of complex clustered or longitudinal data, modeling data with multiple sources of variation, modeling biological variety and heterogeneity, Healthy Akaike Information Criterion (HAIC), parameter multidimensionality, and statistics of image processing. Mixed Models: Theory and Applications with R, Second Edition features unique applications of mixed model methodology, as well as: Comprehensive theoretical discussions illustrated by examples and figures Over 300 exercises, end-of-section problems, updated data sets, and R subroutines Problems and extended projects requiring simulations in R intended to reinforce material Summaries of major results and general points of discussion at the end of each chapter Open problems in mixed modeling methodology, which can be used as the basis for research or PhD dissertations Ideal for graduate-level courses in mixed statistical modeling, the book is also an excellent reference for professionals in a range of fields, including cancer research, computer science, and engineering.

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

Author : Edward E. Gbur,Walter W. Stroup,Kevin S. McCarter,Susan Durham,Linda J. Young,Mary Christman,Mark West,Matthew Kramer
Publisher : John Wiley & Sons
Page : 304 pages
File Size : 47,9 Mb
Release : 2020-01-22
Category : Technology & Engineering
ISBN : 9780891181828

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Analysis of Generalized Linear Mixed Models in the Agricultural and Natural Resources Sciences by Edward E. Gbur,Walter W. Stroup,Kevin S. McCarter,Susan Durham,Linda J. Young,Mary Christman,Mark West,Matthew Kramer Pdf

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 and Generalized Linear Mixed Models and Their Applications

Author : Jiming Jiang
Publisher : Springer Science & Business Media
Page : 257 pages
File Size : 43,9 Mb
Release : 2007-05-30
Category : Mathematics
ISBN : 9780387479460

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Linear and Generalized Linear Mixed Models and Their Applications by Jiming Jiang Pdf

This book covers two major classes of mixed effects models, linear mixed models and generalized linear mixed models. It presents an up-to-date account of theory and methods in analysis of these models as well as their applications in various fields. The book offers a systematic approach to inference about non-Gaussian linear mixed models. Furthermore, it includes recently developed methods, such as mixed model diagnostics, mixed model selection, and jackknife method in the context of mixed models. The book is aimed at students, researchers and other practitioners who are interested in using mixed models for statistical data analysis.

An R Companion to Applied Regression

Author : John Fox,Sanford Weisberg
Publisher : SAGE Publications
Page : 505 pages
File Size : 49,7 Mb
Release : 2018-09-27
Category : Social Science
ISBN : 9781544336459

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An R Companion to Applied Regression by John Fox,Sanford Weisberg Pdf

An R Companion to Applied Regression is a broad introduction to the R statistical computing environment in the context of applied regression analysis. John Fox and Sanford Weisberg provide a step-by-step guide to using the free statistical software R, an emphasis on integrating statistical computing in R with the practice of data analysis, coverage of generalized linear models, and substantial web-based support materials. The Third Edition has been reorganized and includes a new chapter on mixed-effects models, new and updated data sets, and a de-emphasis on statistical programming, while retaining a general introduction to basic R programming. The authors have substantially updated both the car and effects packages for R for this edition, introducing additional capabilities and making the software more consistent and easier to use. They also advocate an everyday data-analysis workflow that encourages reproducible research. To this end, they provide coverage of RStudio, an interactive development environment for R that allows readers to organize and document their work in a simple and intuitive fashion, and then easily share their results with others. Also included is coverage of R Markdown, showing how to create documents that mix R commands with explanatory text. "An R Companion to Applied Regression continues to provide the most comprehensive and user-friendly guide to estimating, interpreting, and presenting results from regression models in R." –Christopher Hare, University of California, Davis

JMP for Mixed Models

Author : Ruth Hummel,Elizabeth A. Claassen,Russell D. Wolfinger
Publisher : SAS Institute
Page : 380 pages
File Size : 55,5 Mb
Release : 2021-06-09
Category : Computers
ISBN : 9781952363856

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JMP for Mixed Models by Ruth Hummel,Elizabeth A. Claassen,Russell D. Wolfinger Pdf

Discover the power of mixed models with JMP and JMP Pro. Mixed models are now the mainstream method of choice for analyzing experimental data. Why? They are arguably the most straightforward and powerful way to handle correlated observations in designed experiments. Reaching well beyond standard linear models, mixed models enable you to make accurate and precise inferences about your experiments and to gain deeper understanding of sources of signal and noise in the system under study. Well-formed fixed and random effects generalize well and help you make the best data-driven decisions. JMP for Mixed Models brings together two of the strongest traditions in SAS software: mixed models and JMP. JMP’s groundbreaking philosophy of tight integration of statistics with dynamic graphics is an ideal milieu within which to learn and apply mixed models, also known as hierarchical linear or multilevel models. If you are a scientist or engineer, the methods described herein can revolutionize how you analyze experimental data without the need to write code. Inside you’ll find a rich collection of examples and a step-by-step approach to mixed model mastery. Topics include: Learning how to appropriately recognize, set up, and interpret fixed and random effects Extending analysis of variance (ANOVA) and linear regression to numerous mixed model designs Understanding how degrees of freedom work using Skeleton ANOVA Analyzing randomized block, split-plot, longitudinal, and repeated measures designs Introducing more advanced methods such as spatial covariance and generalized linear mixed models Simulating mixed models to assess power and other important sampling characteristics Providing a solid framework for understanding statistical modeling in general Improving perspective on modern dilemmas around Bayesian methods, p-values, and causal inference