Verfügbarkeit: Growth modeling | Technische Universität München

Growth modeling: structural equation and multilevel modeling approaches

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Bibliographische Detailangaben
Beteiligte Personen:	Grimm, Kevin J. (VerfasserIn), Ram, Nilam (VerfasserIn), Estabrook, Ryne (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	New York ; London The Guilford Press [2017]
Schriftenreihe:	Methodology in the social sciences
Schlagwörter:	Social sciences > Statistical methods Social sciences > Mathematical models Longitudinal method Sozialwissenschaften Mathematisches Modell Wachstum Längsschnittuntersuchung Statistik
Links:	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
Beschreibung:	Includes bibliographical references (pages 505-515) and indexes
Umfang:	xvii, 537 Seiten Diagramme
ISBN:	9781462526062

Internformat

MARC


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Datensatz im Suchindex

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adam_text	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
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author	Grimm, Kevin J. Ram, Nilam Estabrook, Ryne
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discipline	Soziologie Psychologie
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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 Sozialwissenschaften (DE-588)4055916-6 gnd Mathematisches Modell (DE-588)4114528-8 gnd Wachstum (DE-588)4064115-6 gnd Längsschnittuntersuchung (DE-588)4034036-3 gnd Statistik (DE-588)4056995-0 gnd
subject_GND	(DE-588)4055916-6 (DE-588)4114528-8 (DE-588)4064115-6 (DE-588)4034036-3 (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 Sozialwissenschaften (DE-588)4055916-6 gnd Mathematisches Modell (DE-588)4114528-8 gnd Wachstum (DE-588)4064115-6 gnd Längsschnittuntersuchung (DE-588)4034036-3 gnd Statistik (DE-588)4056995-0 gnd
topic_facet	Social sciences Statistical methods Social sciences Mathematical models Longitudinal method Sozialwissenschaften Mathematisches Modell Wachstum Längsschnittuntersuchung Statistik
url	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
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