On growth curves and mixture models

Infant and Child Development

Volumn 15, Issue 6, 2006, Pages 627-634

  Hoeksma, Jan B ^a   Kelderman, Henk ^a  

^a VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

Growth curves; Longitudinal models; Mixed models; Multilevel models

Indexed keywords

EID: 33846169395     PISSN: 15227227     EISSN: 15227219     Source Type: Journal    
DOI: 10.1002/icd.483     Document Type: Review

References (34)

1. Baltes, P. B., & Nesselroade, J. F. (1979). History and rationale of longitudinal research. In J. F. Nesselroade, & P. B. Baltes (Eds.), Longitudinal research in the study of behavior and development (pp. 1-59). New York: Academic Press.
2. Bauer, D. J., & Curran, P. J. (2003). Distributional assumptions of growth mixture models: Implications for overextraction of latent trajectory classes. Psychological Methods, 8: 338-363.
3. Bauer, D. J., & Curran, P. J. (2004). The integration of continuous and discrete latent variable models: Potential problems and promising opportunities. Psychological Methods, 9(1): 3-39.
4. Broidy, L. M., Tremblay, R. E., Brame, B., Fergusson, D., Horwood, J. L., Laird, R., et al. (2003). Developmental trajectories of childhood disruptive behaviors and adolescent delinquency: A six-site cross-national study. Developmental psychology, 39(2): 222-245.
5. Bryk, A. S., & Raudenbush, S. W. (1992). Hierarchical linear models: Applications and data analysis methods. Newbury Park, CA: Sage.
6. Connel, A. M., & Frye, A. A. (2006). Growth mixture modeling in developmental psychology: Overview and demonstration of heterogeneity in developmental trajectories of adolescent antisocial behavior. Infant and Child Development, in press.
7. Curran, P. J., Bauer, D. J., & Willoughby, M. T. (2004). Testing main effects and interactions in latent curve analysis. Psychological Methods, 9(2): 220-237.
8. Everitt, B. S., & Dunn, G. (2001). Applied multivariate data analysis. London: Arnold.
9. Feyerabend, P. (1975). Against method. London: New Left Books.
10. Goldstein, H. (1986). Multilevel mixed linear models analysis using iterative generalized least squares. Biometrika, 73: 43-56.
11. Goldstein, H. (1987). Multilevel models in educational and social research. London: Oxford University Press.
12. Goldstein, H., Rashbash, J., Plewis, L., Draper, D., Browne, W., Yang, M., et al. (1998). A user's guide to ML Win London: Institute of Education.
13. Goldstein, H. (2003). Multilevel statistical models (third edition). London: Edward Arnold.
14. Hoeksma, J. B. (1999). On models and theories. In H. Ader & G. J. Mellenbergh (Eds.), Research methodology, in the social behavioral & lifesciences (pp. 335-339). London: Sage.
15. Hoeksma, J. B. (2005). Multilevel models. In B. Hopkins, R. Barr, G. Michel & P. Rocha, (Eds.), Cambridge encyclopedia of child development (pp. 142-146). Cambridge: Cambridge University Press.
16. Jones, B., Nagin, D. S., & Roeder. (2001). A SAS procedure based on mixed models for estimating developmental trajectories. Sociological Methods Research, 229: 374-393.
17. Laird, N. M., & Ware, J. H. (1982). Random effects models for longitudinal data. Biometrics, 38: 963-974.
18. Longford. (1987). A fast scoring algorithm for maximum likelihood estimation in unbalanced mixed models with nested random effects. Biometrika, 74(4): 812-827.
19. McArdle, J. J. (1986a). Dynamic but structural equation modeling of repeated measures data. In J. R. Nesselroade & R. B. Cattell (Eds.), Handbook of multivariate experimental psychology (Vol. 2, pp. 561-614). New York: Plenum.
20. McArdle, J. J. (1986b). Latent variable growth within behavior genetic models. Behavior Genetics, 16: 163-200.
21. McArdle, J. J. (1989). A structural modeling experiment with multiple growth functions. In P. Ackerman, R. Kanfer & R. Cudek (Eds.), Learning and individual differences: Abilities, motivation, and methodology. Hilssdale, NJ: Lawrence Erlbaum.
22. McArdle, J. J., & Epstein, D. (1987). Latent growth curves within developmental structural equation models. Child Development, 58: 110-133.
23. Meredith, W., & Tisak, J. (1990). Latent curve analysis. Psychometrika, 55:107-122.
24. Muthén, B. O. (1989). Latent variable modelling in heterogeneous populations. Psychometrika, 54: 557-558.
25. Muthén, B. O. (1991). Analysis of longitudinal data using latent variable models with varying parameters. In L. M. Collins, & J. L. Horn (Eds.), Best methods for the analysis of change: Recent advances, unanswered questions, future directions (pp. 1-17). Washington DC: American Psychological Association.
26. Muthén, B. O. (1992). Latent variable modeling of growth with missing data and multilevel data. Paper presented at the Seventh International Conference on Multivariate Analysis. Barcelona, Spain.
27. Muthén, B. O., & Muthén, L. K. (2000). Integrating person-centered and variable-centered analyses. Alcoholism: Clinical and experimental research, 24: 882-891.
28. Muthén, L. K., & Muthén, B. O. (1998). Mplus (version 2) [computer software and manual]. Los Angeles: Muthen & Muthen.
29. Nagin, D. (1999). Analyzing developmental trajectories: A semi-parametric group based approach. Psychological Methods, 4: 139-157.
30. Nagin, D., & Tremblay, R. E. (2001). Analyzing developmental trajectories of distinct but related behaviors: A group-based method. Psychological Methods, 6(1): 18-34.
31. Singer, J. D., & Willett, J. B. (2003). Applied longitudinal data analysis: Modeling change and event occurrence. New York: Oxford University Press.
32. van Lier, P. A. C., & Crijnen, A. A. M. (2005). Trajectories of peer-nominated aggression: Risk status, predictors and outcomes. Journal of Abnormal Child Psychology, 33: 99-112.
33. Willet, J. B., Sayer, A. G. (1994). Using covariance structure analysis to detect correlates and predictors of individual change. Psychological Bulletin 110, 268-290.
34. Wohlwill, J. F. (1973). The study of behavioral development. New York: Academic Press.