Combining Group-Based Trajectory Modeling and Propensity Score Matching for Causal Inferences in Nonexperimental Longitudinal Data

Developmental Psychology

Volumn 44, Issue 2, 2008, Pages 422-436

  Haviland, Amelia ^a   Nagin, Daniel S ^b   Rosenbaum, Paul R ^c   Tremblay, Richard E ^d,e,f  

^a RAND CORPORATION   (United States)

^b CARNEGIE MELLON UNIVERSITY   (United States)

^c UNIVERSITY OF PENNSYLVANIA   (United States)

^d Universite Paris Sud   (France)

^e UNIVERSITY COLLEGE DUBLIN   (Ireland)

^f UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

causal inference; propensity scores; trajectories

Indexed keywords

ADOLESCENT; ARTICLE; CANADA; CHILD; EPIDEMIOLOGY; FEMALE; HUMAN; JUVENILE DELINQUENCY; LONGITUDINAL STUDY; MALE; PEER GROUP; PERSONALITY TEST; POVERTY; PRESCHOOL CHILD; PSYCHOLOGICAL ASPECT; PSYCHOMETRY; RISK FACTOR; SOCIAL BEHAVIOR; SOCIALIZATION; STATISTICAL ANALYSIS; STATISTICAL MODEL; STATISTICS; VIOLENCE;

ADOLESCENT; CAUSALITY; CHILD; CHILD, PRESCHOOL; FEMALE; HUMANS; JUVENILE DELINQUENCY; LIKELIHOOD FUNCTIONS; LONGITUDINAL STUDIES; MALE; MATCHED-PAIR ANALYSIS; MODELS, STATISTICAL; PEER GROUP; PERSONALITY ASSESSMENT; POVERTY; PSYCHOMETRICS; QUEBEC; RISK FACTORS; SOCIAL IDENTIFICATION; SOCIALIZATION; VIOLENCE;

EID: 42049102346     PISSN: 00121649     EISSN: None     Source Type: Journal    
DOI: 10.1037/0012-1649.44.2.422     Document Type: Article

References (52)

1. Cox D.R. Planning of experiments (1958), Wiley, New York
2. Dehejia R.H., and Wahba S. Causal effects in nonexperimental studies: Reevaluating the evaluation of training programs. Journal of the American Statistical Association 94 (1999) 1053-1062
3. Elder Jr. G.H. Perspectives on the life course. In: Elder Jr. G.H. (Ed). Life course dynamics (1985), Cornell University Press, Ithaca, NY 23-49
4. Elder Jr. G.H. The life course as developmental theory. Child Development 69 (1998) 1-12
5. Gail M.H. Does cardiac transplantation prolong life? A reassessment. Annals of Internal Medicine 76 (1972) 815-817
6. Greevy R., Silber J.H., Cnaan A., and Rosenbaum P.R. Randomization inference with imperfect compliance in the ACE-inhibitor after anthracycline randomized trial. Journal of the American Statistical Association 99 (2004) 7-15
7. Hansen B.B. Optmatch: Flexible, optimal matching for observational studies. R News 7 2 (2007) 19-24
8. Haviland A., and Nagin D.S. Causal inference with group-based trajectory models. Psychometrika 70 (2005) 1-22
9. Haviland A., Nagin D.S., and Rosenbaum P.R. Combining propensity score matching and group-based trajectory modeling in an observational study. Psychological Methods 12 (2007) 247-267
10. Heckman J., and Singer B. A method for minimizing the impact of distributional assumptions in econometric models for duration data. Econometrica 52 (1984) 271-320
11. Joffe M.M., and Rosenbaum P.R. Propensity scores. American Journal of Epidemiology 150 (1999) 327-333
12. Jones B.L., and Nagin D.S. Advances in group-based trajectory modeling and a SAS procedure for estimating them. Sociological Methods and Research 35 (2007) 542-572
13. Jones B., Nagin D.S., and Roeder K. A SAS procedure based on mixture models for estimating developmental trajectories. Sociological Research and Methods 29 (2001) 374-393
14. Lacourse E., Nagin D., Tremblay R.E., Vitaro F., and Claes M. Developmental trajectories of boys' delinquent group membership and facilitation of violent behaviors during adolescence. Development and Psychopathology 15 (2003) 183-197
15. Lacourse E., Nagin D.S., Vitaro F., Côté S., Arseneault L., and Tremblay R.E. Prediction of early onset deviant peer group affiliation: A 12-year longitudinal study. Archives of General Psychiatry 63 (2006) 562-568
16. Land K., McCall P., and Nagin D. A comparison of Poisson, negative binomial, and semiparametric mixed Poisson regression models with empirical applications to criminal careers data. Sociological Methods & Research 24 (1996) 387-439
17. Li Y.P., Propert K.J., and Rosenbaum P.R. Balanced risk set matching. Journal of the American Statistical Association 96 (2001) 870-882
18. Lu B. Propensity scores with time dependent covariates. Biometrics 61 (2005) 721-728
19. Maguin E., Loeber R., and LeMahieu P.G. Does the relationship between poor reading and delinquency hold for males of different ages and ethnic groups?. Journal of Emotional and Behavioral Disorders 1 (1993) 88-100
20. McLachlan G.J., and Peel D. Finite mixture models (2001), Wiley, New York
21. Ming K., and Rosenbaum P.R. Substantial gains in bias reduction from matching with a variable number of controls. Biometrics 56 (2000) 118-124
22. Muthén B. Second-generation structural equation modeling with a combination of categorical and continuous latent variables: New opportunities for latent class/latent curve modeling. In: Sayer A., and Collins L. (Eds). New methods for the analysis of change (2001), American Psychological Association, Washington, DC 291-322
23. Muthén B. Latent variable analysis: Growth mixture modeling and related techniques for longitudinal data. In: Kaplan D. (Ed). Sage handbook of quantitative methodology (2004), Sage, Thousand Oaks, CA 345-368
24. Nagin D.S. Analyzing developmental trajectories: A semi-parametric, group-based approach. Psychological Methods 4 (1999) 139-177
25. Nagin D.S. Group-based modeling of development (2005), Harvard University Press, Cambridge, MA
26. Nagin D.S., and Land K.C. Age, criminal careers, and population heterogeneity: Specification and estimation of a nonparametric, mixed Poisson model. Criminology 31 (1993) 327-362
27. Nagin D.S., Pagani L.S., Tremblay R.E., and Vitaro F. Life course turning points: The effect of grade retention on physical aggression. Development and Psychopathology 15 (2003) 343-361
28. Nagin D.S., and Tremblay R.E. Trajectories of boys' physical aggression, opposition, and hyperactivity on the path to physically violent and nonviolent juvenile delinquency. Child Development 70 (1999) 1181-1196
29. Nagin D.S., and Tremblay R.E. Analyzing developmental trajectories of distinct but related behaviors: A group-based method. Psychological Methods 6 1 (2001) 18-34
30. Nagin D.S., and Tremblay R.E. Developmental trajectory groups: Fact or a useful statistical fiction?. Criminology 43 (2005) 873-904
31. Nieuwbeerta, P., Nagin, D. S., & Blokland, A. (2007). The relationship between first imprisonment and criminal career development: A matched sample comparison. Unpublished manuscript.
32. Pagani L., Boulerice B., Vitaro F., and Tremblay R.E. Effects of poverty on academic failure and delinquency in boys: A change and process model approach. Journal of Child Psychology and Psychiatry 40 (1999) 1209-1219
33. Pickles A., and Angold A. Natural categories or fundamental dimensions: On carving nature at the joints and the rearticulation of psychopathology. Development and Psychopathology 15 (2003) 529-551
34. R Development Core Team. R: A language and environment for statistical computing [Computer software] (2007), R Foundation for Statistical Computing, Vienna
35. Robins J.M., Greenland S., and Hu F.-C. Estimation of the causal effect of a time-varying exposure on the marginal mean of a repeated binary outcome (with discussion). Journal of the American Statistical Association 94 (1999) 687-712
36. Rosenbaum P.R. The consequences of adjustment for a concomitant variable that has been affected by the treatment. Journal of the Royal Statistical Society, Series A 147 (1984) 656-666
37. Rosenbaum P.R. Discussing hidden bias in observational studies. Annals of Internal Medicine 115 (1991) 901-905
38. Rosenbaum P.R. Observational studies. 2nd ed. (2002), Springer-Verlag, New York
39. Rosenbaum P.R. Heterogeneity and causality: Unit heterogeneity and design sensitivity in observational studies. American Statistician 59 (2005) 147-152
40. Rosenbaum P.R. Observational study. In: Everitt B.S., and Howell D.C. (Eds). Encyclopedia of statistics in behavioral science (2005), Wiley, New York 1451-1462
41. Rosenbaum P.R. Sensitivity analysis in observational studies. In: Everitt B.S., and Howell D.C. (Eds). Encyclopedia of statistics in behavioral science (2005), Wiley, New York 1809-1814
42. Rosenbaum P.R. Differential effects and generic biases in observational studies. Biometrika 93 (2006) 573-586
43. Rosenbaum P.R., Ross R.N., and Silber J.H. Minimum distance matched sampling with fine balance in an observational study of treatment for ovarian cancer. Journal of the American Statistical Association 102 (2007) 75-83
44. Rosenbaum P., and Rubin D. The central role of the propensity score in observational studies for causal effects. Biometrika 70 (1983) 41-55
45. Rosenbaum P., and Rubin D. Reducing bias in observational studies using subclassification on the propensity score. Journal of the American Statistical Association 79 (1984) 516-524
46. Rosenbaum P., and Rubin D. Constructing a control group using multivariate matched sampling methods that incorporate the propensity score. American Statistician 39 (1985) 33-38
47. Rosenbaum P.R., and Silber J.H. Matching and thick description in an observational study of mortality after surgery. Biostatistics 2 (2001) 217-232
48. Smith H. Matching with multiple controls to estimate treatment effects in observational studies. Sociological Methodology 27 (1997) 325-353
49. Thornberry T., Krohn M., Lizotte A., Smith C., and Tobin K. Gangs and delinquency in developmental perspective (2003), Cambridge University Press, Cambridge, United Kingdom
50. Titterington D.M., Smith A.F.M., and Makov U.E. Statistical analysis of finite mixture distributions (1985), Wiley, New York
51. Tremblay R.E., Desmarais-Gervais L., Gagnon C., and Charlebois P. The preschool behavior questionnaire: Stability of its factor structure between culture, sexes, ages, and socioeconomic classes. International Journal of Behavioral Development 10 (1987) 467-484
52. Tremblay R.E., and Nagin D.S. Aggression in humans. In: Tremblay R.E., Hartup W.W., and Archer J. (Eds). Developmental origins of aggression (2005), Guilford, New York 83-106