Data Analysis Using Hierarchical Generalized Linear Models with R

Data Analysis Using Hierarchical Generalized Linear Models with R
Author: Youngjo Lee
Publisher: CRC Press
Total Pages: 242
Release: 2017-07-06
Genre: Mathematics
ISBN: 135181155X

Since their introduction, hierarchical generalized linear models (HGLMs) have proven useful in various fields by allowing random effects in regression models. Interest in the topic has grown, and various practical analytical tools have been developed. This book summarizes developments within the field and, using data examples, illustrates how to analyse various kinds of data using R. It provides a likelihood approach to advanced statistical modelling including generalized linear models with random effects, survival analysis and frailty models, multivariate HGLMs, factor and structural equation models, robust modelling of random effects, models including penalty and variable selection and hypothesis testing. This example-driven book is aimed primarily at researchers and graduate students, who wish to perform data modelling beyond the frequentist framework, and especially for those searching for a bridge between Bayesian and frequentist statistics.

Hierarchical Linear Models

Hierarchical Linear Models
Author: Anthony S. Bryk
Publisher: SAGE Publications, Incorporated
Total Pages: 296
Release: 1992
Genre: Mathematics
ISBN:

Hierarchical Linear Models launches a new Sage series, Advanced Quantitative Techniques in the Social Sciences. This introductory text explicates the theory and use of hierarchical linear models (HLM) through rich, illustrative examples and lucid explanations. The presentation remains reasonably nontechnical by focusing on three general research purposes - improved estimation of effects within an individual unit, estimating and testing hypotheses about cross-level effects, and partitioning of variance and covariance components among levels. This innovative volume describes use of both two and three level models in organizational research, studies of individual development and meta-analysis applications, and concludes with a formal derivation of the statistical methods used in the book.

Hierarchical Linear Models

Hierarchical Linear Models
Author: Stephen W. Raudenbush
Publisher: SAGE
Total Pages: 520
Release: 2002
Genre: Social Science
ISBN: 9780761919049

New edition of a text in which Raudenbush (U. of Michigan) and Bryk (sociology, U. of Chicago) provide examples, explanations, and illustrations of the theory and use of hierarchical linear models (HLM). New material in Part I (Logic) includes information on multivariate growth models and other topics.

Generalized Linear Models With Examples in R

Generalized Linear Models With Examples in R
Author: Peter K. Dunn
Publisher: Springer
Total Pages: 573
Release: 2018-11-10
Genre: Mathematics
ISBN: 1441901183

This textbook presents an introduction to generalized linear models, complete with real-world data sets and practice problems, making it applicable for both beginning and advanced students of applied statistics. Generalized linear models (GLMs) are powerful tools in applied statistics that extend the ideas of multiple linear regression and analysis of variance to include response variables that are not normally distributed. As such, GLMs can model a wide variety of data types including counts, proportions, and binary outcomes or positive quantities. The book is designed with the student in mind, making it suitable for self-study or a structured course. Beginning with an introduction to linear regression, the book also devotes time to advanced topics not typically included in introductory textbooks. It features chapter introductions and summaries, clear examples, and many practice problems, all carefully designed to balance theory and practice. The text also provides a working knowledge of applied statistical practice through the extensive use of R, which is integrated into the text. Other features include: • Advanced topics such as power variance functions, saddlepoint approximations, likelihood score tests, modified profile likelihood, small-dispersion asymptotics, and randomized quantile residuals • Nearly 100 data sets in the companion R package GLMsData • Examples that are cross-referenced to the companion data set, allowing readers to load the data and follow the analysis in their own R session

Beyond Multiple Linear Regression

Beyond Multiple Linear Regression
Author: Paul Roback
Publisher: CRC Press
Total Pages: 436
Release: 2021-01-14
Genre: Mathematics
ISBN: 1439885400

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)

Introduction to General and Generalized Linear Models

Introduction to General and Generalized Linear Models
Author: Henrik Madsen
Publisher: CRC Press
Total Pages: 307
Release: 2010-11-09
Genre: Mathematics
ISBN: 1439891141

Bridging the gap between theory and practice for modern statistical model building, Introduction to General and Generalized Linear Models presents likelihood-based techniques for statistical modelling using various types of data. Implementations using R are provided throughout the text, although other software packages are also discussed. Numerous

Statistics and Data Analysis Through R

Statistics and Data Analysis Through R
Author: César Pérez López
Publisher: Independently Published
Total Pages: 222
Release: 2020-11-08
Genre:
ISBN:

This book focuses on the implementation of statistics and data analysis through R. It deals first with the Exploratory Data Analysis both numerically and graphically, which is always a technique prior to any other statistical analysis. Descriptive statistics and the calculation of probabilities are then developed. Subsequently, the multiple regression model is approached, focusing on the problems of its estimation and diagnosis. It also delves into the generalized linear models and the analysis of variance and covariance models. Dimension reduction techniques are also addressed with special emphasis on principal component analysis and factor analysis. Finally, the segmentation techniques related to hierarchical and non-hierarchical cluster analysis are presented.

Applied Regression Analysis and Generalized Linear Models

Applied Regression Analysis and Generalized Linear Models
Author: John Fox
Publisher: SAGE Publications
Total Pages: 612
Release: 2015-03-18
Genre: Social Science
ISBN: 1483321312

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.