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Multilevel Modeling Using R, 3rd Edition

✍ Scribed by W. Holmes Finch, Jocelyn E. Bolin, Ken Kelley


Publisher
Chapman & Hall/CRC
Year
2024
Tongue
English
Leaves
339
Series
Statistics in the Social and Behavioral Sciences
Edition
3
Category
Library

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✦ Synopsis


Like its bestselling predecessor, Multilevel Modeling Using R, Third Edition provides the reader with a helpful guide to conducting multilevel data modeling using the R software environment.

After reviewing standard linear models, the authors present the basics of multilevel models and explain how to fit these models using R. They then show how to employ multilevel modeling with longitudinal data and demonstrate the valuable graphical options in R. The book also describes models for categorical dependent variables in both single-level and multilevel data.

The third edition of the book includes several new topics that were not present in the second edition. Specifically, a new chapter has been included, focussing on fitting multilevel latent variable modeling in the R environment. With R, it is possible to fit a variety of latent variable models in the multilevel context, including factor analysis, structural models, item response theory, and latent class models. The third edition also includes new sections in Chapter 11 describing two useful alternatives to standard multilevel models, fixed effects models and generalized estimating equations. These approaches are particularly useful with small samples and when the researcher is interested in modeling the correlation structure within higher-level units (e.g., schools). The third edition also includes a new section on mediation modeling in the multilevel context, in Chapter 11.

This thoroughly updated revision gives the reader state-of-the-art tools to launch their own investigations in multilevel modeling and gain insight into their research.

✦ Table of Contents


Cover
Half Title
Series Page
Title Page
Copyright Page
Contents
Preface
About the Authors
1. Linear Models
Simple Linear Regression
Estimating Regression Models with Ordinary Least Squares
Distributional Assumptions Underlying Regression
Coefficient of Determination
Inference for Regression Parameters
Multiple Regression
Example of Simple Linear Regression by Hand
Regression in R
Interaction Terms in Regression
Categorical Independent Variables
Checking Regression Assumptions with R
Summary
2. An Introduction to Multilevel Data Structure
Nested Data and Cluster Sampling Designs
Intraclass Correlation
Pitfalls of Ignoring Multilevel Data Structure
Multilevel Linear Models
Random Intercept
Random Slopes
Centering
Basics of Parameter Estimation with MLMs
Maximum Likelihood Estimation
Restricted Maximum Likelihood Estimation
Assumptions Underlying MLMs
Overview of Level-2 MLMs
Overview of Level-3 MLMs
Overview of Longitudinal Designs and Their Relationship to MLMs
Summary
3. Fitting Level-2 Models in R
Simple (Intercept Only) Multilevel Models
Interactions and Cross-Level Interactions Using R
Random Coefficients Models Using R
Centering Predictors
Additional Options
Parameter Estimation Method
Estimation Controls
Comparing Model Fit
Lme4 and Hypothesis Testing
Summary
Notes
4. Level-3 and Higher Models
Defining Simple Level-3 Models Using the lme4 Package
Defining Simple Models with More Than Three Levels in the lme4 Package
Random Coefficients Models with Three or More Levels in the lme4 Package
Summary
Notes
5. Longitudinal Data Analysis Using Multilevel Models
The Multilevel Longitudinal Framework
Person Period Data Structure
Fitting Longitudinal Models Using the lme4 package
Benefits of Using Multilevel Modeling for Longitudinal Analysis
Summary
Notes
6. Graphing Data in Multilevel Contexts
Plots for Linear Models
Plotting Nested Data
Using the Lattice Package
Plotting Model Results Using the Effects Package
Summary
7. Brief Introduction to Generalized Linear Models
Logistic Regression Model for a Dichotomous Outcome Variable
Logistic Regression Model for an Ordinal Outcome Variable
Multinomial Logistic Regression
Models for Count Data
Poisson Regression
Models for Overdispersed Count Data
Summary
8. Multilevel Generalized Linear Models (MGLMs)
MGLMs for a Dichotomous Outcome Variable
Random Intercept Logistic Regression
Random Coefficient Logistic Regression
Inclusion of Additional Level-1 and Level-2 Effects in MGLM
MGLM for an Ordinal Outcome Variable
Random Intercept Logistic Regression
MGLM for Count Data
Random Intercept Poisson Regression
Random Coefficient Poisson Regression
Inclusion of Additional Level-2 Effects to the Multilevel Poisson Regression Model
Summary
9. Bayesian Multilevel Modeling
MCMCglmm for a Normally Distributed Response Variable
Including Level-2 Predictors with MCMCglmm
User-Defined Priors
MCMCglmm for a Dichotomous Dependent Variable
MCMCglmm for a Count-Dependent Variable
Summary
10. Multilevel Latent Variable Models
Multilevel Factor Analysis
Fitting a Multilevel CFA Model Using lavaan
Estimating the Proportion of Variance Associated with Each Level of the Data
Multilevel Structural Equation Modeling
Fitting Multilevel SEM Using lavaan
Multilevel Growth Curve Models
Multilevel Item Response Theory Models
Fitting a Multilevel IRT Model Using R
Multilevel Latent Class Models
Estimating MLCA in R
Summary
11. Additional Modeling Frameworks for Multilevel Data
Fixed Effects Models
Generalized Estimating Equations
Mediation Models with Multilevel Data
Multilevel Lasso
Fitting the Multilevel Lasso in R
Multivariate Multilevel Models
Multilevel Generalized Additive Models
Fitting GAMM Using R
Summary
12. Advanced Issues in Multilevel Modeling
Robust Statistics in the Multilevel Context
Identifying Potential Outliers in Single-Level Data
Identifying Potential Outliers in Multilevel Data
Identifying Potential Multilevel Outliers Using R
Robust and Rank-Based Estimation for Multilevel Models
Fitting Robust and Rank-Based Multilevel Models in R
Predicting Level-2 Outcomes with Level-1 Variables
Power Analysis for Multilevel Models
Summary
References
Index


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