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Marginal Models

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Release : 2009-04-03
Genre : Science
Kind : eBook
Book Rating : 108/5 ( reviews)

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Book Synopsis Marginal Models by : Wicher Bergsma

Download or read book Marginal Models written by Wicher Bergsma. This book was released on 2009-04-03. Available in PDF, EPUB and Kindle. Book excerpt: Marginal Models for Dependent, Clustered, and Longitudinal Categorical Data provides a comprehensive overview of the basic principles of marginal modeling and offers a wide range of possible applications. Marginal models are often the best choice for answering important research questions when dependent observations are involved, as the many real world examples in this book show. In the social, behavioral, educational, economic, and biomedical sciences, data are often collected in ways that introduce dependencies in the observations to be compared. For example, the same respondents are interviewed at several occasions, several members of networks or groups are interviewed within the same survey, or, within families, both children and parents are investigated. Statistical methods that take the dependencies in the data into account must then be used, e.g., when observations at time one and time two are compared in longitudinal studies. At present, researchers almost automatically turn to multi-level models or to GEE estimation to deal with these dependencies. Despite the enormous potential and applicability of these recent developments, they require restrictive assumptions on the nature of the dependencies in the data. The marginal models of this book provide another way of dealing with these dependencies, without the need for such assumptions, and can be used to answer research questions directly at the intended marginal level. The maximum likelihood method, with its attractive statistical properties, is used for fitting the models. This book has mainly been written with applied researchers in mind. It includes many real world examples, explains the types of research questions for which marginal modeling is useful, and provides a detailed description of how to apply marginal models for a great diversity of research questions. All these examples are presented on the book's website (www.cmm.st), along with user friendly programs.

Marginal Models in Analysis of Correlated Binary Data with Time Dependent Covariates

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Release : 2020-09-28
Genre : Medical
Kind : eBook
Book Rating : 043/5 ( reviews)

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Book Synopsis Marginal Models in Analysis of Correlated Binary Data with Time Dependent Covariates by : Jeffrey R. Wilson

Download or read book Marginal Models in Analysis of Correlated Binary Data with Time Dependent Covariates written by Jeffrey R. Wilson. This book was released on 2020-09-28. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a concise point of research topics and reference for modeling correlated response data with time-dependent covariates, and longitudinal data for the analysis of population-averaged models, highlighting methods by a variety of pioneering scholars. While the models presented in the volume are applied to health and health-related data, they can be used to analyze any kind of data that contain covariates that change over time. The included data are analyzed with the use of both R and SAS, and the data and computing programs are provided to readers so that they can replicate and implement covered methods. It is an excellent resource for scholars of both computational and methodological statistics and biostatistics, particularly in the applied areas of health. ​

Applied Longitudinal Analysis

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Release : 2004-07
Genre : Mathematics
Kind : eBook
Book Rating : 878/5 ( reviews)

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Book Synopsis Applied Longitudinal Analysis by : Garrett M. Fitzmaurice

Download or read book Applied Longitudinal Analysis written by Garrett M. Fitzmaurice. This book was released on 2004-07. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Linear Mixed Models

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Release : 2014-07-17
Genre : Mathematics
Kind : eBook
Book Rating : 991/5 ( reviews)

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Book Synopsis Linear Mixed Models by : Brady T. West

Download or read book Linear Mixed Models written by Brady T. West. This book was released on 2014-07-17. Available in PDF, EPUB and Kindle. Book excerpt: Highly recommended by JASA, Technometrics, and other journals, the first edition of this bestseller showed how to easily perform complex linear mixed model (LMM) analyses via a variety of software programs. Linear Mixed Models: A Practical Guide Using Statistical Software, Second Edition continues to lead readers step by step through the process of fitting LMMs. This second edition covers additional topics on the application of LMMs that are valuable for data analysts in all fields. It also updates the case studies using the latest versions of the software procedures and provides up-to-date information on the options and features of the software procedures available for fitting LMMs in SAS, SPSS, Stata, R/S-plus, and HLM. New to the Second Edition A new chapter on models with crossed random effects that uses a case study to illustrate software procedures capable of fitting these models Power analysis methods for longitudinal and clustered study designs, including software options for power analyses and suggested approaches to writing simulations Use of the lmer() function in the lme4 R package New sections on fitting LMMs to complex sample survey data and Bayesian approaches to making inferences based on LMMs Updated graphical procedures in the software packages Substantially revised index to enable more efficient reading and easier location of material on selected topics or software options More practical recommendations on using the software for analysis A new R package (WWGbook) that contains all of the data sets used in the examples Ideal for anyone who uses software for statistical modeling, this book eliminates the need to read multiple software-specific texts by covering the most popular software programs for fitting LMMs in one handy guide. The authors illustrate the models and methods through real-world examples that enable comparisons of model-fitting options and results across the software procedures.

Longitudinal Data Analysis

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Release : 2008-08-11
Genre : Mathematics
Kind : eBook
Book Rating : 57X/5 ( reviews)

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Book Synopsis Longitudinal Data Analysis by : Garrett Fitzmaurice

Download or read book Longitudinal Data Analysis written by Garrett Fitzmaurice. This book was released on 2008-08-11. Available in PDF, EPUB and Kindle. Book excerpt: Although many books currently available describe statistical models and methods for analyzing longitudinal data, they do not highlight connections between various research threads in the statistical literature. Responding to this void, Longitudinal Data Analysis provides a clear, comprehensive, and unified overview of state-of-the-art theory

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