 Latent Curve Models: A Structural Equation Perspective
ISBN: 978-0-471-45592-9
Hardcover
312 pages
December 2005
US $105.95
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1 Introduction.
1.1 Conceptualization and Analysis of Trajectories.
1.2 Three Initial Questions About Trajectories.
1.3 Brief History of Latent Curve Models.
1.4 Organization of the Remainder of the Book.
2 Unconditional Latent Curve Model.
2.1 Repeated Measures.
2.2 General Model and Assumptions.
2.3 Identification.
2.4 Case-By-Case Approach.
2.5 Structural Equation Model Approach.
2.6 Alternative Approaches to the SEM.
2.7 Conclusions.
Appendix 2A: Test Statistics, Nonnormality, and Statistical Power.
3 Missing Data and Alternative Metrics of Time.
3.1 Missing Data.
3.2 Missing Data and Alternative Metrics of Time.
3.3 Conclusions.
4 Nonlinear Trajectories and the Coding of Time.
4.1 Modeling Nonlinear Functions of Time.
4.2 Nonlinear Curve Fitting: Estimated Factor Loadings.
4.3 Piecewise Linear Trajectory Models.
4.4 Alternative Parametric Functions.
4.5 Linear Transformations of the Metric of Time.
4.6 Conclusions.
Appendix 4A: Identification of Quadratic and Piecewise Latent Curve Models.
4A.1 Quadratic LCM.
4A.2 Piecewise LCM.
5 Conditional Latent Curve Models.
5.1 Conditional Model and Assumptions.
5.2 Identification.
5.3 Structural Equation Modeling Approach.
5.4 Interpretation of Conditional Model Estimates.
5.5 Empirical Example.
5.6 Conclusions.
6 The Analysis of Groups.
6.1 Dummy Variable Approach.
6.2 Multiple-Group Analysis.
6.3 Unknown Group Membership.
6.4 Conclusions.
Appendix 6A: Case-by-Case Approach to Analysis of Various Groups.
6A.1 Dummy Variable Method.
6A.2 Multiple-Group Analysis.
6A.3 Unknown Group Membership.
6A.4 Appendix Summary.
7 Multivariate Latent Curve Models.
7.1 Time-Invariant Covariates.
7.2 Time-Varying Covariates.
7.3 Simultaneous Inclusion of Time-Invariant and Time-Varying Covariates.
7.4 Multivariate Latent Curve Models.
7.5 Autoregressive Latent Trajectory Model.
7.6 General Equation for All Models.
7.7 Implied Moment Matrices.
7.8 Conclusions.
8 Extensions of Latent Curve Models.
8.1 Dichotomous and Ordinal Repeated Measures.
8.2 Repeated Latent Variables with Multiple Indicators.
8.3 Latent Covariates.
8.4 Conclusions.
References.
Author Index.
Subject Index.
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