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Multilevel Modeling Using R

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


Publisher
CRC Press
Year
2019
Tongue
English
Leaves
226
Series
Chapman and Hall/CRC Statistics in the Social and Behavioral Sciences Series
Edition
2nd ed
Category
Library

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✦ Synopsis


Cover -- Half Title -- Title Page -- Copyright Page -- Table of Contents -- 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 Two-Level MLMs -- Overview of Three-Level MLMs -- Overview of Longitudinal Designs and Their Relationship to MLMs -- Summary -- 3: Fitting Two-Level 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 -- Note -- 4: Three-Level and Higher Models -- Defining Simple Three-Level 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 -- Note -- 5: Longitudinal Data Analysis Using Multilevel Models -- The Multilevel Longitudinal Framework -- Person Period Data Structure -- Fitting Longitudinal Models Using the lme4 Package.

✦ Table of Contents


Cover --
Half Title --
Title Page --
Copyright Page --
Table of Contents --
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 Two-Level MLMs --
Overview of Three-Level MLMs --
Overview of Longitudinal Designs and Their Relationship to MLMs --
Summary --
3: Fitting Two-Level 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 --
Note --
4: Three-Level and Higher Models --
Defining Simple Three-Level 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 --
Note --
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 --
Note --
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 Coefficients 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: 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 --
Cauchy --
Slash --
Contaminated --
Multilevel Lasso --
Fitting the Multilevel Lasso in R --
Multivariate Multilevel Models. Multilevel Generalized Additive Models --
Fitting GAMM using R --
Predicting Level-2 Outcomes with Level-1 Variables --
Power Analysis for Multilevel Models --
Summary --
References --
Index.

✦ Subjects


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