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.
2.4 Case-By-Case Approach.
2.5 Structural Equation Model Approach.
2.6 Alternative Approaches to the SEM.
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.
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.
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.
5.3 Structural Equation Modeling Approach.
5.4 Interpretation of Conditional Model Estimates.
5.5 Empirical Example.
6 The Analysis of Groups.
6.1 Dummy Variable Approach.
6.2 Multiple-Group Analysis.
6.3 Unknown Group Membership.
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.
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.
"…an authoritative account of the subject…" (Journal of the American Statistical Association, December 2007)
- Written in simple language, like a textbook, with multiple pedagogical devices (e.g. chapter introductions, summaries, exercise sets, conclusions, and footnotes)
- Extensively class-tested and painstakingly written by two of the experts in the field of structural equations
- Formal -- and complete -- development of LTMs, e.g. inclusion of identification of parameters and simple alternatives to SEMs and comprehensive treatment of nonlinear trajectories
- Emphasis on statistical modeling, rather than numerical interpretation and/or manipulation