Growth modeling: structural equation and multilevel modeling approaches
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York ; London
The Guilford Press
[2017]
|
| Series: | Methodology in the social sciences
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references (pages 505-515) and indexes |
| Physical Description: | xvii, 537 Seiten Diagramme |
| ISBN: | 9781462526062 |
Staff View
MARC
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| 245 | 1 | 0 | |a Growth modeling |b structural equation and multilevel modeling approaches |c Kevin J. Grimm, Nilam Ram, Ryne Estabrook ; series editor's note by Todd D. Little |
| 264 | 1 | |a New York ; London |b The Guilford Press |c [2017] | |
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Record in the Search Index
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Contents
PART I. INTRODUCTION AND ORGANIZATION
1 • Overview, Goals of Longitudinal Research,
and Historical Developments 3
Overview 3
Five Rationales for Longitudinal Research 4
Historical Development of Growth Models 6
Modeling Frameworks and Programs 11
2 • Practical Preliminaries: Things to Do
before Fitting Growth Models 14
Data Structures 15
Longitudinal Plots 20
Data Screening 24
Output 26
Longitudinal Measurement 29
Reliability 29
Scaling/Sensitivity 31
Measurement Invariance 32
Time Metrics 33
Change Hypotheses 38
Incomplete Data 39
Moving Forward 41
XI
xii Contents
PART II. THE LINEAR GROWTH MODEL AND ITS EXTENSIONS
3 • Linear Growth Models
Multilevel Modeling Framework 47
Multilevel Modeling Implementation 49
No-Growth Model 49
Linear Growth Model 53
Predicted Trajectories and Residuals 55
Structural Equation Modeling Framework 58
Structural Equation Modeling Implementation 62
No-Growth Model 63
Linear Growth Model 68
Predicted Trajectories and Residuals 72
Important Considerations 73
Moving Forward 74
4 • Continuous Time Metrics
Multilevel Modeling Framework 76
Multilevel Modeling Implementation 77
Structural Equation Modeling Framework 81
Structural Equation Modeling Implementation 83
Definition Variable Approach 83
Time-Window Approach 87
Important Considerations 88
Moving Forward 91
5 • Linear Growth Models with Time-Invariant Covariates
Multilevel Model Framework 94
Multilevel Modeling Implementation 96
Structural Equation Modeling Framework 102
Structural Equation Modeling Implementation 104
Important Considerations 110
Model Fit 110
Explained Variance 111
Standardized Coefficients 112
Moving Forward 113
6 • Multiple-Group Growth Modeling
Multilevel Modeling Framework 115
Multilevel Modeling Implementation 116
Structural Equation Modeling Framework 123
Structural Equation Modeling Implementation 124
Contents xiii
Important Considerations 133
Model Comparisons 133
Ordering of Model Comparisons 134
Moving Forward 135
7 • Growth Mixture Modeling 137
Multilevel Modeling Framework 140
Multilevel Modeling Implementation 142
Structural Equation Modeling Framework 142
Structural Equation Modeling Implementation 145
Model Fit, Model Comparison, and Class Enumeration 156
Important Considerations 161
Approaching Growth Mixture Models 161
Pitfalls in Growth Mixture Modeling 162
Moving Forward 164
8 • Multivariate Growth Models and Dynamic Predictors 165
Multilevel Modeling Framework 166
Multivariate Growth Model 166
Time-Varying Covariate Model 168
Multilevel Modeling Implementation 169
Multivariate Growth Model 169
Time-Varying Covariate Model 175
Structural Equation Modeling Framework 179
Multivariate Growth Model 179
Time-Varying Covariate Model 182
Structural Equation Modeling Implementation 184
Multivariate Growth Model 184
Time-Varying Covariate Model 189
Important Considerations 196
Proper Interpretation 197
Moving Forward 197
PART III. NONLINEARITY IN GROWTH MODELING
9 • Introduction to Nonlinearity 201
Organization for Nonlinear Change Models 203
Moving Forward 206
10 • Growth Models with Nonlinearity in Time 207
Multilevel Modeling Framework 207
Quadratic Growth Model 207
Spline Growth Models 209
xiv Contents
Multilevel Modeling Implementation 211
Quadratic Growth Model 212
Spline Growth Models 216
Structural Equation Modeling Framework 220
Quadratic Growth Model 221
Spline Growth Models 222
Structural Equation Modeling Implementation 223
Quadratic Growth Model 223
Spline Growth Model 227
Important Considerations 231
Variations of Models Presented 231
Extensions 233
Moving Forward 233
11 • Growth Models with Nonlinearity in Parameters 234
Multilevel Modeling Framework 235
Jenss-Bayley Growth Model 235
Latent Basis Growth Model 237
Spline Growth Models with Estimated Knot Points 238
Multilevel Modeling Implementation 238
Jenss-Bayley Growth Model 238
Latent Basis Growth Model 242
Spline Growth Model with Estimated Knot Point 247
Structural Equation Modeling Framework 251
Jenss-Bayley Growth Model 252
Latent Basis Growth Model 253
Spline Growth Model with Estimated Knot Point 255
Structural Equation Modeling Implementation 256
Jenss-Bayley Growth Model 256
Latent Basis Growth Model 261
Spline Growth Model with Estimated Knot Point 265
Important Considerations 270
Individually Varying Measurement Schedules 273
Covariates, Multiple Groups, and Mixtures 273
Moving Forward 274
12 • Growth Models with Nonlinearity
in Random Coefficients 275
Multilevel Modeling Framework 276
Jenss-Bayley Growth Model 276
Bilinear Spline Growth Model with Variability in the Knot Point 278
Multilevel Modeling Implementation 279
Jenss-Bayley Growth Model 279
Bilinear Spline Growth Model with Variation in the Knot Point 286
Contents xv
Structural Equation Modeling Framework 294
Jenss-Bayley Growth Model 295
Spline Growth Model with Variation in the Knot Point 296
Structural Equation Modeling Implementation 298
Jenss-Bayley Growth Model 298
Important Considerations 304
Moving Forward 303
PART IV. MODELING CHANGE WITH LATENT ENTITIES
13 • Modeling Change with Ordinal Outcomes
Dichotomous Outcomes 309
Polytomous Outcomes 314
Illustration 317
Multilevel Modeling Implementation 317
Growth Model with a Dichotomous Outcome 317
Growth Model with a Polytomous Outcome 323
Structural Equation Modeling Implementation 329
Growth Model with a Dichotomous Outcome 330
Growth Model with a Polytomous Outcome 335
Important Considerations 340
Moving Forward 342
14 • Modeling Change with Latent Variables
Measured by Continuous Indicators
Common Factor Model 344
Identification 345
Factorial Invariance over Time 346
Testing Factorial Invariance with Longitudinal Data 348
Second-Order Growth Model 351
Illustration 352
Structural Equation Modeling Implementation 353
Longitudinal Common Factor Model 353
Second-Order Growth Model 361
Important Considerations 367
Moving Forward 368
15« Modeling Change with Latent Variables
Measured by Ordinal Indicators
Item Response Modeling 370
Dichotomous Response Models 370
Polytomous Item Response Models 373
Measurement Invariance in Item Response Models 377
309
343
369
xvi Contents
Second-Order Growth Model 380
Illustration 380
Structural Equation Modeling Implementation 381
Longitudinal Item Factor Model 381
Second-Order Growth Model 389
Important Considerations 397
Moving Forward 399
PART V. LATENT CHANGE SCORES AS A FRAMEWORK
FOR STUDYING CHANGE
16 • Introduction to Latent Change Score Modeling
General Model Specification 404
Models of Change 406
Commonly Specified Growth Models 406
Expansion 1: Dynamic Noise 409
Expansion 2: Dynamic Effects 409
Illustration 410
Structural Equation Modeling Implementation 411
Dual Change Model 411
Model Fit 419
Important Considerations 419
Alternative Specification 420
Moving Forward 420
17 • Multivariate Latent Change Score Models
Autoregressive Cross-Lag Model 422
Multivariate Growth Model 424
Multivariate Latent Change Score Model 426
Illustration 428
Structural Equation Modeling Implementation 428
Full Coupling Dual Change Model 428
Model Fit 442
Important Considerations 442
Moving Forward 444
18 • Rate-of-Change Estimates in Nonlinear
Growth Models
Growth Rate Models 445
Latent Change Score Models 447
Illustration 448
Multilevel Modeling Implementation 449
Jenss-Bayley Growth Rate Model 449
403
422
445
Contents xvü
Structural Equation Modeling Implementation 456
Jenss—Bayley Growth Rate Model 456
Jenss-Bayley Latent Change Model 462
Important Considerations 475
Appendix A • A Brief Introduction to Multilevel Modeling
Illustrative Example 479
Random Intercept Model 480
Inclusion of Level-1 Predictor 481
Inclusion of Level-2 Predictor 486
Multilevel Modeling and Longitudinal Data 492
Appendix B • A Brief Introduction to
Structural Equation Modeling
Illustrative Example 496
Structural Equation Modeling and Longitudinal Data 502
References
Author Index
Subject Index
About the Authors
477
493
505
517
521
537 |
| any_adam_object | 1 |
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| id | DE-604.BV044730379 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T08:38:11Z |
| institution | BVB |
| isbn | 9781462526062 |
| language | English |
| lccn | 016021792 |
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| physical | xvii, 537 Seiten Diagramme |
| publishDate | 2017 |
| publishDateSearch | 2017 |
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| publisher | The Guilford Press |
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| series2 | Methodology in the social sciences |
| spelling | Grimm, Kevin J. Verfasser (DE-588)1153860147 aut Growth modeling structural equation and multilevel modeling approaches Kevin J. Grimm, Nilam Ram, Ryne Estabrook ; series editor's note by Todd D. Little New York ; London The Guilford Press [2017] © 2017 xvii, 537 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Methodology in the social sciences Includes bibliographical references (pages 505-515) and indexes Social sciences Statistical methods Social sciences Mathematical models Longitudinal method Längsschnittuntersuchung (DE-588)4034036-3 gnd rswk-swf Sozialwissenschaften (DE-588)4055916-6 gnd rswk-swf Wachstum (DE-588)4064115-6 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Sozialwissenschaften (DE-588)4055916-6 s Mathematisches Modell (DE-588)4114528-8 s Wachstum (DE-588)4064115-6 s Längsschnittuntersuchung (DE-588)4034036-3 s DE-604 Statistik (DE-588)4056995-0 s Ram, Nilam Verfasser (DE-588)1153860244 aut Estabrook, Ryne Verfasser (DE-588)1153860457 aut Erscheint auch als Grimm, Kevin J. Growth modeling Online-Ausgabe 978-1-4625-2607-9 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030126458&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Grimm, Kevin J. Ram, Nilam Estabrook, Ryne Growth modeling structural equation and multilevel modeling approaches Social sciences Statistical methods Social sciences Mathematical models Longitudinal method Längsschnittuntersuchung (DE-588)4034036-3 gnd Sozialwissenschaften (DE-588)4055916-6 gnd Wachstum (DE-588)4064115-6 gnd Mathematisches Modell (DE-588)4114528-8 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4034036-3 (DE-588)4055916-6 (DE-588)4064115-6 (DE-588)4114528-8 (DE-588)4056995-0 |
| title | Growth modeling structural equation and multilevel modeling approaches |
| title_auth | Growth modeling structural equation and multilevel modeling approaches |
| title_exact_search | Growth modeling structural equation and multilevel modeling approaches |
| title_full | Growth modeling structural equation and multilevel modeling approaches Kevin J. Grimm, Nilam Ram, Ryne Estabrook ; series editor's note by Todd D. Little |
| title_fullStr | Growth modeling structural equation and multilevel modeling approaches Kevin J. Grimm, Nilam Ram, Ryne Estabrook ; series editor's note by Todd D. Little |
| title_full_unstemmed | Growth modeling structural equation and multilevel modeling approaches Kevin J. Grimm, Nilam Ram, Ryne Estabrook ; series editor's note by Todd D. Little |
| title_short | Growth modeling |
| title_sort | growth modeling structural equation and multilevel modeling approaches |
| title_sub | structural equation and multilevel modeling approaches |
| topic | Social sciences Statistical methods Social sciences Mathematical models Longitudinal method Längsschnittuntersuchung (DE-588)4034036-3 gnd Sozialwissenschaften (DE-588)4055916-6 gnd Wachstum (DE-588)4064115-6 gnd Mathematisches Modell (DE-588)4114528-8 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Social sciences Statistical methods Social sciences Mathematical models Longitudinal method Längsschnittuntersuchung Sozialwissenschaften Wachstum Mathematisches Modell Statistik |
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