Generalizing the Regression Model: Techniques for Longitudinal and Contextual Analysis
Autor Blair Wheaton, Marisa Youngen Limba Engleză Paperback – mar 2021
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Specificații
ISBN-13: 9781506342092
ISBN-10: 1506342094
Pagini: 688
Dimensiuni: 203 x 254 x 30 mm
Greutate: 0.39 kg
Ediția:First Edition
Editura: SAGE Publications
Colecția Sage Publications, Inc
Locul publicării:Thousand Oaks, United States
ISBN-10: 1506342094
Pagini: 688
Dimensiuni: 203 x 254 x 30 mm
Greutate: 0.39 kg
Ediția:First Edition
Editura: SAGE Publications
Colecția Sage Publications, Inc
Locul publicării:Thousand Oaks, United States
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Recenzii
Quantitative analyses are so often relegated to OLS techniques when they should not be. The authors more than adequately demonstrate the why, what, and how other procedures (GMM, SEM, panel regression, event history analysis to name a few) are far superior to the OLS approaches widely but inappropriately found in published research or used in practice. Kudos to them.
Generalizing the Regression Model is a highly accessible textbook that covers a remarkable array of complex material with ease. Its applications and examples make the material intuitive and interesting for students to learn.
Generalizing the Regression Model is a highly accessible textbook that covers a remarkable array of complex material with ease. Its applications and examples make the material intuitive and interesting for students to learn.
Cuprins
Reviewer Acknowledgements
Preface
About the Authors
Chapter 1: A Review of Correlation and Regression
Introduction
1.1 Association in a Bivariate Table
1.2 Correlation as a Measure of Association
1.3 Bivariate Regression Theory
1.4 Partitioning of Variance in Bivariate Regression
1.5 Bivariate Regression Example
1.6 Assumptions of the Regression Model
1.7 Multiple Regression
1.8 A Multiple Regression Example: The Gender Pay Gap
1.9 Dummy Variables
Concluding Words
Practice Questions
Chapter 2: Generalizations of Regression 1: Testing and Interpreting Interactions
2.0.1 Limitations of the Additive Model
2.1 Interactions in Multiple Regression
2.2 A Three-Way Interaction Between Education, Race, and Gender
2.3 Interactions Involving Continuous Variables
2.4 Interactions Between Categorical Variables: The N-Way Analysis of Variance
2.5 Cautions In Studying Interactions
2.6 Published Examples
Concluding Words
Practice Questions
Chapter 3: Generalizations of Regression 2: Nonlinear Regression
Introduction
3.1 A simple example of a quadratic relationship
3.2 Estimating Higher-Order Relationships
3.3 Basic Math for nonlinear models
3.4 Interpretation of Nonlinear Functions
3.5 An Alternative Approach Using Dummy Variables
3.6 Spline Regression
3.7 Published Examples
Concluding Words
Practice Questions
Chapter 4: Generalizations of Regression 3: Logistic Regression
4.1 A First Take: The Linear Probability Model
4.2 The logistic Regression MODEL
4.3 Interpreting Logistic Models
4.4 Running a Logistic Regression in Statistical Software
4.5 Multinomial Logistic Regression
4.6 The Ordinal Logit Model
4.7 Estimation of Logistic Models
4.8 Tests for Logistic Regression
4.9 Published Examples
Concluding Words
Practice Questions
Chapter 5: Generalizations of Regression 4: The Generalized Linear Model
5.1 The Poisson Regression Model
5.2 The Complementary Log-Mog Model
5.3 Published Examples
Concluding Words
Practice Questions
Chapter 6: From Equations to Models: The Process of Explanation
6.1 What is Wrong With Equations?
6.2 Equations versus Models: Some Examples
6.3 Why Causality?
6.4 Criteria For Causality
6.5 The analytical roles of Variables in causal models
6.6 Interpretating an association using controls and mediators
6.7 Special Cases
6.8 From Recursive to Non-Recursive Models: What to do about reciprocal Causation
6.9 Published Examples
Concluding Words
Practice Questions
Chapter 7: An Introduction to Structural Equation Models
7.1 Latent Variables
7.2 Identifying the Factor analysis Model
7.3 The Full Sem model
7.4 Published Examples
Concluding Words
Practice Question
Chapter 8: Identification and Testing of Models
8.1 Identification
8.2 Testing And Fitting Models
8.3 Published Examples
Concluding Words
Practice Questions
Chapter 9: Variations and Extensions of SEM
9.1 The Comparative SEM framework
9.2 A Multiple Group Example
9.3 SEM for Nonnormal and Ordinal Data
9.4 Nonlinear Effects in SEM Models
Concluding Words
Chapter 10: An Introduction to Hierarchical Linear Models
10.1 Introduction to the Model
10.2 A Formal Statement of a Two-Level HLM Model
10.3 Sub-Models of the Full HLM Model
10.4 The Three-Level Hierarchical Linear Model
10.5 Implications of Centering Level-1 Variables
10.6 Sample Size Consideations
10.7 Estimating Multilevel Models IN SAS and STATA
10.8 Estimating a Three-Level Model
10.9 Published Examples
Concluding Words
Practice Questions
Chapter 11: The Generalized Hierarchical Linear Model
11.1 Multilevel Logistic Regression
11.2 Running the Generalized HLM in SAS
11.3 Multilevel Poisson Regression
11.4 Published Example
Concluding Words
Chapter 12: Growth Curve Models
12.1 Deriving the Structure of Growth Models
12.2 Running Growth Models in SAS
12.3 Modeling The Trajectory of Net Worth From Early to Mid-Adulthood
12.4 Modeling the Trajectory of Internalizing Problems over Adolescence
12.5 Published Examples
Concluding Words
Practice Questions
Chapter 13: Introduction to Regression for Panel Data
13.1 The Generalized Panel Regression Model
13.2 Examples of Panel Eegression
13.3 Published Examples
Concluding Words
Practice Questions
Chapter 14: Variations and Extensions of Panel Regression
14.1 Models for the Effects of events between Waves
14.2 Dynamic Panel Models
14.3 Fixed Effect Methods For Logistic Regression
14.4 Fixed-Effects Methods For Structural Equation Models
14.5 Published Example
Concluding Words
Chapter 15: Event History Analysis in Discrete Time
15.1 Overview of Concepts and Models
15.2 The Discrete-Time Event History Model
15.3 Basic Concepts
15.4 Creating and Analyzing A Person-Period Data Set
15.5 Studying Women’s Entry into the Work Role After Having a First Child
15.6 The Competing Risks Model
15.7 Repeated Events: The Multiple
15.8 Published Example
Concluding Words
Practice Questions
Chapter 16: The Continuous Time Event History Model
16.1 The Proportional Hazards Model
16.2 The Complementary Log-Log Model
Concluding Words
References
Preface
About the Authors
Chapter 1: A Review of Correlation and Regression
Introduction
1.1 Association in a Bivariate Table
1.2 Correlation as a Measure of Association
1.3 Bivariate Regression Theory
1.4 Partitioning of Variance in Bivariate Regression
1.5 Bivariate Regression Example
1.6 Assumptions of the Regression Model
1.7 Multiple Regression
1.8 A Multiple Regression Example: The Gender Pay Gap
1.9 Dummy Variables
Concluding Words
Practice Questions
Chapter 2: Generalizations of Regression 1: Testing and Interpreting Interactions
2.0.1 Limitations of the Additive Model
2.1 Interactions in Multiple Regression
2.2 A Three-Way Interaction Between Education, Race, and Gender
2.3 Interactions Involving Continuous Variables
2.4 Interactions Between Categorical Variables: The N-Way Analysis of Variance
2.5 Cautions In Studying Interactions
2.6 Published Examples
Concluding Words
Practice Questions
Chapter 3: Generalizations of Regression 2: Nonlinear Regression
Introduction
3.1 A simple example of a quadratic relationship
3.2 Estimating Higher-Order Relationships
3.3 Basic Math for nonlinear models
3.4 Interpretation of Nonlinear Functions
3.5 An Alternative Approach Using Dummy Variables
3.6 Spline Regression
3.7 Published Examples
Concluding Words
Practice Questions
Chapter 4: Generalizations of Regression 3: Logistic Regression
4.1 A First Take: The Linear Probability Model
4.2 The logistic Regression MODEL
4.3 Interpreting Logistic Models
4.4 Running a Logistic Regression in Statistical Software
4.5 Multinomial Logistic Regression
4.6 The Ordinal Logit Model
4.7 Estimation of Logistic Models
4.8 Tests for Logistic Regression
4.9 Published Examples
Concluding Words
Practice Questions
Chapter 5: Generalizations of Regression 4: The Generalized Linear Model
5.1 The Poisson Regression Model
5.2 The Complementary Log-Mog Model
5.3 Published Examples
Concluding Words
Practice Questions
Chapter 6: From Equations to Models: The Process of Explanation
6.1 What is Wrong With Equations?
6.2 Equations versus Models: Some Examples
6.3 Why Causality?
6.4 Criteria For Causality
6.5 The analytical roles of Variables in causal models
6.6 Interpretating an association using controls and mediators
6.7 Special Cases
6.8 From Recursive to Non-Recursive Models: What to do about reciprocal Causation
6.9 Published Examples
Concluding Words
Practice Questions
Chapter 7: An Introduction to Structural Equation Models
7.1 Latent Variables
7.2 Identifying the Factor analysis Model
7.3 The Full Sem model
7.4 Published Examples
Concluding Words
Practice Question
Chapter 8: Identification and Testing of Models
8.1 Identification
8.2 Testing And Fitting Models
8.3 Published Examples
Concluding Words
Practice Questions
Chapter 9: Variations and Extensions of SEM
9.1 The Comparative SEM framework
9.2 A Multiple Group Example
9.3 SEM for Nonnormal and Ordinal Data
9.4 Nonlinear Effects in SEM Models
Concluding Words
Chapter 10: An Introduction to Hierarchical Linear Models
10.1 Introduction to the Model
10.2 A Formal Statement of a Two-Level HLM Model
10.3 Sub-Models of the Full HLM Model
10.4 The Three-Level Hierarchical Linear Model
10.5 Implications of Centering Level-1 Variables
10.6 Sample Size Consideations
10.7 Estimating Multilevel Models IN SAS and STATA
10.8 Estimating a Three-Level Model
10.9 Published Examples
Concluding Words
Practice Questions
Chapter 11: The Generalized Hierarchical Linear Model
11.1 Multilevel Logistic Regression
11.2 Running the Generalized HLM in SAS
11.3 Multilevel Poisson Regression
11.4 Published Example
Concluding Words
Chapter 12: Growth Curve Models
12.1 Deriving the Structure of Growth Models
12.2 Running Growth Models in SAS
12.3 Modeling The Trajectory of Net Worth From Early to Mid-Adulthood
12.4 Modeling the Trajectory of Internalizing Problems over Adolescence
12.5 Published Examples
Concluding Words
Practice Questions
Chapter 13: Introduction to Regression for Panel Data
13.1 The Generalized Panel Regression Model
13.2 Examples of Panel Eegression
13.3 Published Examples
Concluding Words
Practice Questions
Chapter 14: Variations and Extensions of Panel Regression
14.1 Models for the Effects of events between Waves
14.2 Dynamic Panel Models
14.3 Fixed Effect Methods For Logistic Regression
14.4 Fixed-Effects Methods For Structural Equation Models
14.5 Published Example
Concluding Words
Chapter 15: Event History Analysis in Discrete Time
15.1 Overview of Concepts and Models
15.2 The Discrete-Time Event History Model
15.3 Basic Concepts
15.4 Creating and Analyzing A Person-Period Data Set
15.5 Studying Women’s Entry into the Work Role After Having a First Child
15.6 The Competing Risks Model
15.7 Repeated Events: The Multiple
15.8 Published Example
Concluding Words
Practice Questions
Chapter 16: The Continuous Time Event History Model
16.1 The Proportional Hazards Model
16.2 The Complementary Log-Log Model
Concluding Words
References
Notă biografică
Blair Wheaton is currently Distinguished Professor of Sociology at the University of Toronto. He received his Ph.D. from the University of Wisconsin in 1976, and taught at Yale University and McGill University before moving to the University of Toronto in 1989. He has taught graduate and undergraduate statistics courses for most of his career.
He was the first recipient of the Leonard I. Pearlin Award for Distinguished Contributions to the Sociology of¿ Mental Health in 2000, and received the ¿Best Publication¿ Award from the Mental Health section of the American Sociological Association in 1996. He was one of fifteen researchers selected as a member of the Consortium for Research in Stress Processes, funded by the W.T. Grant Foundation, a group that met which met for ten years (1984-1994) and produced three influential books on stress research over that period. He was elected to the Sociological Research Association in 2010.
His research focuses on both the life course and social contextual approach to understanding mental health over multiple life stages. Currently, he is following up a family study that included interviews of 9-16 year old children from 1993-1996 to investigate the long-term consequences of growing up in gender-egalitarian households on work, family, and health outcomes, he is developing a method for gathering a life history residential profile of neighborhood environments, from birth to the present, he is conducting research on the long-term positive benefits of maternal employment histories on their children into middle adulthood, and he is writing papers on the impact of 9/11 on the subjective welfare of Americans, on causality and its renderings by various methods, and on the reasons for the persistence of findings in research literatures that could be fundamentally misleading.
Descriere
This comprehensive text introduces regression, the general linear model, structural equation modeling, the hierarchical linear model, growth curve models, panel data, and event history models, and includes discussion of published implementations of each technique showing how it was used to address substantive and interesting research questions. It takes a step-by-step approach in the presentation of each topic, using mathematical derivations where necessary, but primarily emphasizing how the methods involved can be implemented, are used in addressing representative substantive problems than span a number of disciplines, and can be interpreted in words. The book demonstrates the analyses in STATA and SAS.