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E-grāmata: Growth Modeling: Structural Equation and Multilevel Modeling Approaches

4.86/5 (14 ratings by Goodreads)
(Arizona State University, United States), (Northwestern University, United States), (Stanford University, United States)
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Growth models are among the core methods for analyzing how and when people change. Discussing both structural equation and multilevel modeling approaches, this book leads readers step by step through applying each model to longitudinal data to answer particular research questions. It demonstrates cutting-edge ways to describe linear and nonlinear change patterns, examine within-person and between-person differences in change, study change in latent variables, identify leading and lagging indicators of change, evaluate co-occurring patterns of change across multiple variables, and more. User-friendly features include real data examples, code (for Mplus or NLMIXED in SAS, and OpenMx or nlme in R), discussion of the output, and interpretation of each model's results.

User-Friendly Features *Real, worked-through longitudinal data examples serving as illustrations in each chapter. *Script boxes that provide code for fitting the models to example data and facilitate application to the reader's own data. *"Important Considerations" sections offering caveats, warnings, and recommendations for the use of specific models. *Companion website supplying datasets and syntax for the book's examples, along with additional code in SAS/R for linear mixed-effects modeling.

Winner--Barbara Byrne Book Award from the Society of Multivariate Experimental Psychology

Recenzijas

"This is by far the most comprehensive, up-to-date, and ready-to-use book on growth modeling that I have ever seen. The authors have proven records in effectively teaching classes and workshops on longitudinal data analysis. This is a 'must have' for anyone who wants to develop or apply growth models. The SAS, Mplus, and OpenMx example scripts and instructions are long-needed complements to those programs' respective manuals. Coverage includes the most recent developments in growth modeling, and each chapter essentially can stand by itself, providing enough information for researchers to apply the respective models in their studies to answer more complex and interesting empirical questions. The book can be used in a range of classes either as a main text or a supplement. I will definitely recommend it to students in my Structural Equation Modeling class when I teach structural growth curve modeling."--Zhiyong Johnny Zhang, PhD, Department of Psychology, University of Notre Dame

"The implementation details are superb and the level of technical detail quite stunning. It will be so helpful for longitudinal researchers to have this compendium of growth models, complete with sample code from both SEM and multilevel modeling frameworks. It is wonderful to see the item response theory and SEM frameworks so nicely integrated. The authors have hit the trifecta--pulling together multilevel modeling, SEM, and item response theory. There is truly no other book on the market that covers latent growth modeling so completely and comprehensively."--D. Betsy McCoach, PhD, Measurement, Evaluation, and Assessment Program, Neag School of Education, University of Connecticut

"This is the most thorough work on this subject that I know of; the coverage of nonlinear models is among the best I have seen. The book is written at a level suitable for an advanced graduate student learning this material or an applied researcher seeking a reference on the subject. It introduces the basics, discusses the relevant model theory/specification, and presents programming code for several packages. The authors do an exceptional job of explaining the computer code and providing insight into convergence issues and how to remedy them. It is good to have this all in one place (along with the respective output) for comparative purposes."--Daniel A. Powers, PhD, Department of Sociology, University of Texas at Austin

"This well-written book starts with clear statements about what research questions can be answered using growth models. Usefully, the authors include both multilevel modeling and SEM approaches, and analyze the example data within each framework using one proprietary program and one freely available R package. Viewing the detailed code and the results of each analysis gives the reader a chance to understand the strengths and weaknesses of each approach. Later chapters address such developments as nonlinear growth models and growth models for noncontinuous outcomes. Code for each variation is given, which expand the researcher's capacity to fit these complex models."--Yasuo Miyazaki, PhD, Associate Professor of Educational Research and Evaluation Program, Virginia Tech

"The importance that researchers and practitioners are placing on longitudinal designs and analyses signals a prominent shift toward methods that enable a better understanding of the developmental processes thought to underlie many human traits and behaviors. This book provides the essential background on latent growth models and covers several interesting methodological extensions, including models for nonlinear change, growth mixture models, and longitudinal models for assessing change in latent variables. Practical examples are woven throughout the text, accompanied by extensive annotated code in SAS, Mplus, and R, which makes both basic and more complex models accessible. This is a wonderful resource for anyone serious about longitudinal data analysis."--Jeffrey R. Harring, PhD, Department of Human Development and Quantitative Methodology, University of Maryland

"I highly recommend this book. It is a tour de force in model building with latent growth curves. The authors' use of three programming languages (Mplus, SAS, and R) is great, and they work with computer programs in an unusually careful way. The book will be of value to anyone dealing with longitudinal data."--John J. McArdle, PhD, Department of Psychology, University of Southern California -An accessible resource that provides a thorough introduction to frequently used longitudinal models.An invaluable resource for students and scholars.This book would be excellent reading material for students in various disciplines, such as psychology and education, that provide either introductory or advanced longitudinal graduate courses.--Psychometrika, 3/1/2019 "This is by far the most comprehensive, up-to-date, and ready-to-use book on growth modeling that I have ever seen. The authors have proven records in effectively teaching classes and workshops on longitudinal data analysis. This is a 'must have' for anyone who wants to develop or apply growth models. The SAS, Mplus, and OpenMx example scripts and instructions are long-needed complements to those programs' respective manuals. Coverage includes the most recent developments in growth modeling, and each chapter essentially can stand by itself, providing enough information for researchers to apply the respective models in their studies to answer more complex and interesting empirical questions. The book can be used in a range of classes either as a main text or a supplement. I will definitely recommend it to students in my Structural Equation Modeling class when I teach structural growth curve modeling."--Zhiyong Johnny Zhang, PhD, Department of Psychology, University of Notre Dame

"The implementation details are superb and the level of technical detail quite stunning. It will be so helpful for longitudinal researchers to have this compendium of growth models, complete with sample code from both SEM and multilevel modeling frameworks. It is wonderful to see the item response theory and SEM frameworks so nicely integrated. The authors have hit the trifecta--pulling together multilevel modeling, SEM, and item response theory. There is truly no other book on the market that covers latent growth modeling so completely and comprehensively."--D. Betsy McCoach, PhD, Measurement, Evaluation, and Assessment Program, Neag School of Education, University of Connecticut

"This is the most thorough work on this subject that I know of; the coverage of nonlinear models is among the best I have seen. The book is written at a level suitable for an advanced graduate student learning this material or an applied researcher seeking a reference on the subject. It introduces the basics, discusses the relevant model theory/specification, and presents programming code for several packages. The authors do an exceptional job of explaining the computer code and providing insight into convergence issues and how to remedy them. It is good to have this all in one place (along with the respective output) for comparative purposes."--Daniel A. Powers, PhD, Department of Sociology, University of Texas at Austin

"This well-written book starts with clear statements about what research questions can be answered using growth models. Usefully, the authors include both multilevel modeling and SEM approaches, and analyze the example data within each framework using one proprietary program and one freely available R package. Viewing the detailed code and the results of each analysis gives the reader a chance to understand the strengths and weaknesses of each approach. Later chapters address such developments as nonlinear growth models and growth models for noncontinuous outcomes. Code for each variation is given, which expand the researcher's capacity to fit these complex models."--Yasuo Miyazaki, PhD, Associate Professor of Educational Research and Evaluation Program, Virginia Tech

"The importance that researchers and practitioners are placing on longitudinal designs and analyses signals a prominent shift toward methods that enable a better understanding of the developmental processes thought to underlie many human traits and behaviors. This book provides the essential background on latent growth models and covers several interesting methodological extensions, including models for nonlinear change, growth mixture models, and longitudinal models for assessing change in latent variables. Practical examples are woven throughout the text, accompanied by extensive annotated code in SAS, Mplus, and R, which makes both basic and more complex models accessible. This is a wonderful resource for anyone serious about longitudinal data analysis."--Jeffrey R. Harring, PhD, Department of Human Development and Quantitative Methodology, University of Maryland

"I highly recommend this book. It is a tour de force in model building with latent growth curves. The authors' use of three programming languages (Mplus, SAS, and R) is great, and they work with computer programs in an unusually careful way. The book will be of value to anyone dealing with longitudinal data."--John J. McArdle, PhD, Department of Psychology, University of Southern California -An accessible resource that provides a thorough introduction to frequently used longitudinal modelsā¦.An invaluable resource for students and scholarsā¦.This book would be excellent reading material for students in various disciplines, such as psychology and education, that provide either introductory or advanced longitudinal graduate courses.--Psychometrika, 3/1/2019

PART I INTRODUCTION AND ORGANIZATION
1 Overview, Goals of Longitudinal Research, and Historical Developments
3(11)
Overview
3(1)
Five Rationales for Longitudinal Research
4(2)
Historical Development of Growth Models
6(5)
Modeling Frameworks and Programs
11(3)
2 Practical Preliminaries: Things to Do before Fitting Growth Models
14(31)
Data Structures
15(5)
Longitudinal Plots
20(4)
Data Screening
24(5)
Output
26(3)
Longitudinal Measurement
29(4)
Reliability
29(2)
Scaling/Sensitivity
31(1)
Measurement Invariance
32(1)
Time Metrics
33(5)
Change Hypotheses
38(1)
Incomplete Data
39(2)
Moving Forward
41(4)
PART II THE LINEAR GROWTH MODEL AND ITS EXTENSIONS
3 Linear Growth Models
45(30)
Multilevel Modeling Framework
47(2)
Multilevel Modeling Implementation
49(9)
No-Growth Model
49(4)
Linear Growth Model
53(2)
Predicted Trajectories and Residuals
55(3)
Structural Equation Modeling Framework
58(4)
Structural Equation Modeling Implementation
62(11)
No-Growth Model
63(5)
Linear Growth Model
68(4)
Predicted Trajectories and Residuals
72(1)
Important Considerations
73(1)
Moving Forward
74(1)
4 Continuous Time Metrics
75(18)
Multilevel Modeling Framework
76(1)
Multilevel Modeling Implementation
77(4)
Structural Equation Modeling Framework
81(2)
Structural Equation Modeling Implementation
83(5)
Definition Variable Approach
83(4)
Time-Window Approach
87(1)
Important Considerations
88(3)
Moving Forward
91(2)
5 Linear Growth Models with Time-Invariant Covariates
93(21)
Multilevel Model Framework
94(2)
Multilevel Modeling Implementation
96(6)
Structural Equation Modeling Framework
102(2)
Structural Equation Modeling Implementation
104(6)
Important Considerations
110(3)
Model Fit
110(1)
Explained Variance
111(1)
Standardized Coefficients
112(1)
Moving Forward
113(1)
6 Multiple-Group Growth Modeling
114(23)
Multilevel Modeling Framework
115(1)
Multilevel Modeling Implementation
116(7)
Structural Equation Modeling Framework
123(1)
Structural Equation Modeling Implementation
124(9)
Important Considerations
133(2)
Model Comparisons
133(1)
Ordering of Model Comparisons
134(1)
Moving Forward
135(2)
7 Growth Mixture Modeling
137(28)
Multilevel Modeling Framework
140(2)
Multilevel Modeling Implementation
142(1)
Structural Equation Modeling Framework
142(3)
Structural Equation Modeling Implementation
145(11)
Model Fit, Model Comparison, and Class Enumeration
156(5)
Important Considerations
161(3)
Approaching Growth Mixture Models
161(1)
Pitfalls in Growth Mixture Modeling
162(2)
Moving Forward
164(1)
8 Multivariate Growth Models and Dynamic Predictors
165(36)
Multilevel Modeling Framework
166(3)
Multivariate Growth Model
166(2)
Time-Varying Covariate Model
168(1)
Multilevel Modeling Implementation
169(10)
Multivariate Growth Model
169(6)
Time-Varying Covariate Model
175(4)
Structural Equation Modeling Framework
179(5)
Multivariate Growth Model
179(3)
Time-Varying Covariate Model
182(2)
Structural Equation Modeling Implementation
184(12)
Multivariate Growth Model
184(5)
Time-Varying Covariate Model
189(7)
Important Considerations
196(1)
Proper Interpretation
197(1)
Moving Forward
197(4)
PART III NONLINEARITY IN GROWTH MODELING
9 Introduction to Nonlinearity
201(6)
Organization for Nonlinear Change Models
203(3)
Moving Forward
206(1)
10 Growth Models with Nonlinearity in Time
207(27)
Multilevel Modeling Framework
207(4)
Quadratic Growth Model
207(2)
Spline Growth Models
209(2)
Multilevel Modeling Implementation
211(9)
Quadratic Growth Model
212(4)
Spline Growth Models
216(4)
Structural Equation Modeling Framework
220(3)
Quadratic Growth Model
221(1)
Spline Growth Models
222(1)
Structural Equation Modeling Implementation
223(8)
Quadratic Growth Model
223(4)
Spline Growth Model
227(4)
Important Considerations
231(2)
Variations of Models Presented
231(2)
Extensions
233(1)
Moving Forward
233(1)
11 Growth Models with Nonlinearity in Parameters
234(41)
Multilevel Modeling Framework
235(3)
Jenss--Bayley Growth Model
235(2)
Latent Basis Growth Mode!
237(1)
Spline Growth Models with Estimated Knot Points
238(1)
Multilevel Modeling Implementation
238(13)
Jenss--Bayley Growth Model
238(4)
Latent Basis Growth Model
242(5)
Spline Growth Mode! with Estimated Knot Point
247(4)
Structural Equation Modeling Framework
251(5)
Jenss--Bayley Growth Model
252(1)
Latent Basis Growth Model
253(2)
Spline Growth Model with Estimated Knot Point
255(1)
Structural Equation Modeling Implementation
256(14)
Jenss--Bayley Growth Model
256(5)
Latent Basis Growth Model
261(4)
Spline Growth Model with Estimated Knot Point
265(5)
Important Considerations
270(4)
Individually Varying Measurement Schedules
273(1)
Covariates, Multiple Groups, and Mixtures
273(1)
Moving Forward
274(1)
12 Growth Models with Nonlinearity in Random Coefficients
275(34)
Multilevel Modeling Framework
276(3)
Jenss--Bayley Growth Mode!
276(2)
Bilinear Spline Growth Model with Variability in the Knot Point
278(1)
Multilevel Modeling Implementation
279(15)
Jenss--Bayley Growth Model
279(7)
Bilinear Spline Growth Model with Variation in the Knot Point
286(8)
Structural Equation Modeling Framework
294(4)
Jenss--Bayley Growth Model
295(1)
Spline Growth Model with Variation in the Knot Point
296(2)
Structural Equation Modeling Implementation
298(6)
Jenss--Bayley Growth Model
298(6)
Important Considerations
304(1)
Moving Forward
305(4)
PART IV MODELING CHANGE WITH LATENT ENTITIES
13 Modeling Change with Ordinal Outcomes
309(34)
Dichotomous Outcomes
309(5)
Polytomous Outcomes
314(3)
Illustration
317(1)
Multilevel Modeling Implementation
317(23)
Growth Model with a Dichotomous Outcome
317(6)
Growth Model with a Polytomous Outcome
323(6)
Structural Equation Modeling Implementation
329(1)
Growth Model with a Dichotomous Outcome
330(5)
Growth Model with a Polytomous Outcome
335(5)
Important Considerations
340(2)
Moving Forward
342(1)
14 Modeling Change with Latent Variables Measured by Continuous Indicators
343(26)
Common Factor Model
344(2)
Identification
345(1)
Factorial Invariance over Time
346(5)
Testing Factorial Invariance with Longitudinal Data
348(3)
Second-Order Growth Model
351(1)
Illustration
352(1)
Structural Equation Modeling Implementation
353(14)
Longitudinal Common Factor Model
353(8)
Second-Order Growth Model
361(6)
Important Considerations
367(1)
Moving Forward
368(1)
15 Modeling Change with Latent Variables Measured by Ordinal Indicators
369(34)
Item Response Modeling
370(10)
Dichotomous Response Models
370(3)
Polytomous Item Response Models
373(4)
Measurement Invariance in Item Response Models
377(3)
Second-Order Growth Model
380(1)
Illustration
380(1)
Structural Equation Modeling Implementation
381(16)
Longitudinal Item Factor Model
381(8)
Second-Order Growth Model
389(8)
Important Considerations
397(2)
Moving Forward
399(4)
PART V LATENT CHANGE SCORES AS A FRAMEWORK FOR STUDYING CHANGE
16 Introduction to Latent Change Score Modeling
403(19)
General Model Specification
404(2)
Models of Change
406(4)
Commonly Specified Growth Models
406(3)
Expansion 1 Dynamic Noise
409(1)
Expansion 2 Dynamic Effects
409(1)
Illustration
410(1)
Structural Equation Modeling Implementation
411(8)
Dual Change Model
411(8)
Model Fit
419(1)
Important Considerations
419(1)
Alternative Specification
420(1)
Moving Forward
420(2)
17 Multivariate Latent Change Score Models
422(23)
Autoregressive Cross-Lag Model
422(2)
Multivariate Growth Model
424(2)
Multivariate Latent Change Score Model
426(2)
Illustration
428(1)
Structural Equation Modeling Implementation
428(14)
Full Coupling Dual Change Model
428(14)
Model Fit
442(1)
Important Considerations
442(2)
Moving Forward
444(1)
18 Rate-of-Change Estimates in Nonlinear Growth Models
445(32)
Growth Rate Models
445(2)
Latent Change Score Models
447(1)
Illustration
448(1)
Multilevel Modeling Implementation
449(7)
Jenss--Bayley Growth Rate Model
449(7)
Structural Equation Modeling Implementation
456(19)
Jenss--Bayley Growth Rate Model
456(6)
Jenss--Bayley Latent Change Model
462(13)
Important Considerations
475(2)
Appendix A A Brief Introduction to Multilevel Modeling
477(16)
Illustrative Example
479(13)
Random Intercept Model
480(1)
Inclusion of Level-1 Predictor
481(5)
Inclusion of Level-2 Predictor
486(6)
Multilevel Modeling and Longitudinal Data
492(1)
Appendix B A Brief Introduction to Structural Equation Modeling
493(12)
Illustrative Example
496(6)
Structural Equation Modeling and Longitudinal Data
502(3)
References 505(12)
Author Index 517(4)
Subject Index 521(16)
About the Authors 537
Kevin J. Grimm, PhD, is Professor in the Department of Psychology at Arizona State University, where he teaches graduate courses on quantitative methods. His research interests include longitudinal methodology, exploratory data analysis, and data integration, especially the integration of longitudinal studies. His recent research has focused on nonlinearity in growth models, growth mixture models, extensions of latent change score models, and approaches for analyzing change with limited dependent variables. Dr. Grimm organizes the American Psychological Associations Advanced Training Institute on Structural Equation Modeling in Longitudinal Research and has lectured at the workshop for over 15 years.

Nilam Ram, PhD, is Professor in the Departments of Communication and Psychology at Stanford University. He specializes in longitudinal research methodology and lifespan development, with a focus on how multivariate time-series and growth curve modeling approaches can contribute to our understanding of behavioral change. He uses a wide variety of longitudinal models to examine changes in human behavior at multiple levels and across multiple time scales. Coupling the theory and method with data collected using mobile technologies, Dr. Ram is integrating process-oriented analytical paradigms with data visualization, gaming, experience sampling, and the delivery of individualized interventions/treatment.

Ryne Estabrook, PhD, is Assistant Professor in the Department of Medical Social Sciences at Northwestern University. His research combines multivariate longitudinal methodology, open-source statistical software, and lifespan development. His methodological work pertains to developing new methods for the study of change and incorporating longitudinal and dynamic information into measurement. Dr. Estabrook is a developer of OpenMx, an open-source statistical software package for structural equation modeling and general linear algebra. He applies his methodological and statistical research to the study of lifespan development, including work on early childhood behavior and personality in late life.