A multilevel simultaneous equations model for within-cluster dynamic effects, with an application to reciprocal parent-child and sibling effects

Psychological Methods

Volumn 18, Issue 1, 2013, Pages 87-100

  Steele, Fiona ^a   Rasbash, Jon ^a   Jenkins, Jennifer ^b  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

^b UNIVERSITY OF TORONTO   (Canada)

Author keywords

Autoregressive cross lagged model; Family effects; Multilevel structural equation model; Parent child effects; Reciprocal influences

Indexed keywords

ADOLESCENT; ADULT; ARTICLE; CHILD; DEPRESSION; FAMILY RELATION; FEMALE; GROUP PROCESS; HUMAN; JUVENILE DELINQUENCY; LONGITUDINAL STUDY; MALE; MOTHER; PRESCHOOL CHILD; PSYCHOLOGICAL ASPECT; STATISTICAL MODEL; STATISTICS;

ADOLESCENT; ADULT; CHILD; CHILD, PRESCHOOL; DEPRESSION; FAMILY RELATIONS; FEMALE; GROUP PROCESSES; HUMANS; JUVENILE DELINQUENCY; LONGITUDINAL STUDIES; MALE; MODELS, STATISTICAL; MOTHERS;

EID: 84883019736     PISSN: 1082989X     EISSN: None     Source Type: Journal    
DOI: 10.1037/a0029316     Document Type: Article

References (54)

1. Achenbach, T. (1991). Manual for the Child Behavior Checklist/4-18. Burlington, VT: Department of Psychiatry, University of Vermont.
2. Alfò, M., & Aitkin, M. (2006). Variance component models for longitudinal count data with baseline information: Epilepsy data revisited. Statistical Computing, 16, 231-238. doi:10.1007/s11222-006-7072-5
3. Arbuckle, J. L. (1996). Full information estimation in the presence of incomplete data. In G. A. Marcoulides & R. E. Schumacker (Eds.), Advanced structural equation modeling: Issues and techniques (pp. 243-278). Mahwah, NJ: Erlbaum.
4. Bhargava, A., & Sargan, J. D. (1983). Estimating dynamic random effects models from panel data covering short time periods. Econometrica, 51, 1635-1659. doi:10.2307/1912110
5. Bollen, K. A., & Curran, P. J. (2004). Autoregressive latent trajectory (ALT) models a synthesis of two traditions. Sociological Methods & Research, 32, 336-383. doi:10.1177/0049124103260222
6. Bollen, K. A., & Curran, P. J. (2006). Latent curve models: A structural equation perspective. Hoboken, NJ: Wiley.
7. Bolton, D., Eley, T., O'Connor, T. G., Perrin, S., Rabe-Hesketh, S., Rijsdijk, F., & Smith, P. (2006). Prevalence and genetic and environmental influences on anxiety disorders in 6-year-old twins. Psychological Medicine, 36, 335-344. doi:10.1017/S0033291705006537
8. Browne, W. J. (2009). MCMC estimation in MLwiN v2.10. Bristol, England: Centre for Multilevel Modelling, University of Bristol.
9. Christakis, N. A., & Fowler, J. H. (2007). The spread of obesity in a large social network over 32 years. New England Journal of Medicine, 357, 370-379. doi:10.1056/NEJMsa066082
10. Connell, A. M., & Dishion, T. J. (2006). The contribution of peers to monthly variation in adolescent depressed mood: A short-term longitudinal study with time-varying predictors. Development and Psychopathology, 18, 139-154. doi:10.1017/S0954579406060081
11. Cook, W. L., & Kenny, D. A. (2005). The actor-partner interdependence model: A model of bidirectional effects in developmental studies. International Journal of Behavioral Development, 29, 101-109. doi:10.1080/01650250444000405
12. Crouchley, R., Stott, D., & Pritchard, J. (2009). Multivariate generalised linear mixed models via sabreStata (Sabre in Stata). Unpublished manuscript, Centre for e-Science, University of Lancaster, Lancaster, England.
13. Cui, M., Donnellan, M. B., & Conger, R. D. (2007). Reciprocal influences between parents' marital problems and adolescent internalizing and externalizing behavior. Developmental Psychology, 43, 1544-1552. doi: 10.1037/0012-1649.43.6.1544
14. Curran, P. J. (2003). Have multilevel models been structural equation models all along? Multivariate Behavioral Research, 38, 529-569. doi:10.1207/s15327906mbr3804_5
15. Dishion, T. J., & Owen, L. D. (2002). A longitudinal analysis of friendships and substance use: Bidirectional influence from adolescence to adulthood. Developmental Psychology, 38, 480-491. doi:10.1037/0012-1649.38.4.480
16. Dunn, J., Davies, L., O'Connor, T. G., & Sturgess, W. (2000). Parents' and partners' life course and family experiences: Links with parent-child relationships in different family settings. Journal of Child Psychology and Psychiatry, 41, 955-968. doi:10.1111/1469-7610.00684
17. Elgar, F. J., Curtis, L. J., McGrath, P. J., Waschbusch, D. A., & Stewart, S. H. (2003). Antecedent-consequence conditions in maternal mood and child adjustment: A four-year cross-lagged study. Journal of Clinical Child and Adolescent Psychology, 32, 362-374. doi:10.1207/S15374424JCCP3203_05
18. Ghisletta, P., & Lindenberger, U. (2003). Age-based structural dynamics between perpetual speed and knowledge in the Berlin Aging Study: Direct evidence for ability dedifferentiation in old age. Psychology and Aging, 18, 696-713. doi:10.1037/0882-7974.18.4.696
19. Ghisletta, P., & Lindenberger, U. (2004). Static and dynamic longitudinal structural analyses of cognitive changes in old age. Gerontology, 50, 12-16. doi:10.1159/000074383
20. Golding, J. (1996). Children of the nineties: A longitudinal study of pregnancy and childhood based on the population of Avon (ALSPAC). Contemporary Reviews in Obstetrics and Gynaecology, 8, 89-92.
21. Goldstein, H. (2003). Multilevel statistical models (3rd ed.). London, England: Arnold.
22. Goldstein, H., Carpenter, J., Kenward, M. G., & Levin, K. A. (2009). Multilevel models with multivariate mixed response types. Statistical Modelling, 9, 173-197. doi:10.1177/1471082X0800900301
23. Gross, H. E., Shaw, D. S., & Moilanen, K. L. (2008). Reciprocal associations between boys' externalizing problems and mothers' depressive symptoms. Journal of Abnormal Child Psychology, 36, 693-709. doi: 10.1007/s10802-008-9224-x
24. Hipwell, A., Keenan, K., Kasza, K., Loeber, R., Stouthamer-Loeber, M., & Bean, T. (2008). Reciprocal influences between girls' conduct problems and depression, and parental punishment and warmth: A six year prospective analysis. Journal of Abnormal Child Psychology, 36, 663-677. doi:10.1007/s10802-007-9206-4
25. Jolivet, A., Caroly, S., Ehlinger, V., Kelly-Irving, M., Delpierre, C., Balducci, F.,... Lang, T. (2010). Linking hospital workers' organizational work environment to depressive symptoms: A mediating effect of effortreward imbalance? The ORSOSA study. Social Science & Medicine, 71, 534-540. doi:10.1016/j.socscimed.2010.04.003
26. Kaffman, A., & Meaney, M. J. (2007). Neurodevelopment sequelae of postnatal maternal care in rodents: Clinical and research implications of molecular insights. Journal of Child Psychology and Psychiatry, 48, 224-244. doi:10.1111/j.1469-7610.2007.01730.x
27. Kazemi, I., & Crouchley, R. (2006). Modelling the initial conditions in dynamic regression models of panel data with random effects. In B. H. Baltagi (Ed.), Panel data econometrics: Theoretical contributions and empirical applications (pp. 91-117). Amsterdam, the Netherlands: Elsevier. doi:10.1016/S0573-8555(06)74004-4
28. Laird, R. D., Pettit, G. S., Bates, J. E., & Dodge, K. A. (2003). Parents' monitoring knowledge and adolescents' delinquent behavior: Evidence of correlated developmental changes and reciprocal influences. Child Development, 74, 752-768. doi:10.1111/1467-8624.00566
29. Lillard, L. A., & Panis, C. W. A. (1998-2003). aML user's guide and reference manual: Version 2. Los Angeles, CA: EconWare.
30. Little, R. J. A., & Rubin, D. B. (2002). Statistical analysis with missing data (2nd ed.). New York, NY: Wiley.
31. MacCallum, R. C., Kim, C., Malarkey, W., & Kielcolt-Glaser, J. (1997). Studying multivariate change using multilevel models and latent curve models. Multivariate Behavioral Research, 32, 215-253. doi:10.1207/s15327906mbr3203_1
32. Mashburn, A. J., Justice, L. M., Downer, J. T., & Pianta, R. C. (2009). Peer effects on children's language achievement during pre-kindergarten. Child Development, 80, 686-702. doi:10.1111/j.1467-8624.2009.01291.x
33. McArdle, J. J. (1988). 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, NY: Plenum Press. doi:10.1007/978-1-4613-0893-5_17
34. McArdle, J. J. (2001). A latent difference score approach to longitudinal dynamic structural analysis. In R. Cudeck, S. du Toit, & D. Sörbom (Eds.), Structural equation modeling: Present and future: A Festschrift in honor of Karl Jöreskog (pp. 1-40). Lincolnwood, IL: Scientific Software International.
35. McGee, R., Williams, S., & Silva, P. A. (1986). An evaluation of the Malaise Inventory. Journal of Psychosomatic Research, 30, 147-152. doi:10.1016/0022-3999(86)90044-9
36. Natsuaki, M. N., Ge, X., Reiss, D., & Neiderhiser, J. M. (2009). Aggressive behavior between siblings and the development of externalizing problems: Evidence from a genetically sensitive study. Developmental Psychology, 45, 1009-1018. doi:10.1037/a0015698
37. Nichols, M. (Ed.). (2007). Family therapy: Concepts and methods (8th ed.). Boston, MA: Allyn & Bacon.
38. O'Connor, T. G., Neiderhiser, J. M., Reiss, D., Hetherington, E. M., & Plomin, R. (1998). Genetic contributions to continuity, change, and co-occurrence of antisocial and depressive symptoms in adolescence. Journal of Child Psychology and Psychiatry, 39, 323-336. doi:10.1017/S0021963097002126
39. Pardini, D. A., Fite, P. J., & Burke, J. D. (2008). Bidirectional associations between parenting practices and conduct problems in boys from childhood to adolescence: The moderating effect of age and African- American ethnicity. Journal of Abnormal Child Psychology, 36, 647-662. doi:10.1007/s10802-007-9162-z
40. Plomin, R., & Davis, O. (2009). The future of genetics in psychology and psychiatry: Microarrays, genome-wide association, and non-coding RNA. Journal of Child Psychology and Psychiatry, 50, 63-71. doi: 10.1111/j.1469-7610.2008.01978.x
41. Radke-Yarrow, M., Zahn-Waxler, C., Richardson, D., & Susman, A. (1994). Caring behavior in children of clinically depressed and well mothers. Child Development, 65, 1405-1414. doi:10.2307/1131507
42. Rasbash, J., Charlton, C., Browne, W. J., Healy, M. J. R., & Cameron, B. (2009). MLwiN Version 2.1 [Computer software]. Bristol, England: Centre for Multilevel Modelling, University of Bristol.
43. Raudenbush, S. W., & Bryk, A. S. (2002). Hierarchical linear models. Newbury Park, CA: Sage.
44. Rende, R., Slomkowski, C., Lloyd-Richardson, E., & Niaura, R. (2005). Sibling effects on substance use in adolescence: Social contagion and genetic relatedness. Journal of Family Psychology, 19, 611-618. doi: 10.1037/0893-3200.19.4.611
45. Rubin, D. B. (1976). Inference and missing data. Biometrika, 63, 581-592. doi:10.1093/biomet/63.3.581
46. Rutter, M., Tizard, J., & Whitmore, K. (1970). Education, Health and Behaviour. London, England: Longman.
47. Singer, J. D., & Willett, J. B. (2003). Applied longitudinal data analysis: Modeling change and event occurrence. New York, NY: Oxford University Press.
48. Slomkowski, C., Rende, R., Conger, K. J., Simons, R. L., & Conger, R. D. (2001). Sisters, brothers, and delinquency: Evaluating social influence during early and middle adolescence. Child Development, 72, 271-283. doi:10.1111/1467-8624.00278
49. Snijders, T. A. B., & Bosker, R. J. (1999). Multilevel analysis: An introduction to basic and advanced multilevel modeling. London, England: Sage.
50. Snyder, J., Bank, L., & Burraston, B. (2005). The consequences of antisocial behavior in older male siblings for younger brothers and sisters. Journal of Family Psychology, 19, 643-653. doi:10.1037/0893-3200.19.4.643
51. Snyder, J., Stoolmiller, M., Wilson, M., & Yamamoto, M. (2003). Child anger regulation, parental responses to children's anger displays and early child antisocial behavior. Social Development, 12, 335-360.
52. Steele, F. (2008). Multilevel models for longitudinal data. Journal of the Royal Statistical Society, Series A, 171, 5-19.
53. Wu, W., West, S. G., & Taylor, A. B. (2009). Evaluating model fit for growth curve models: Integration of fit indices from SEM and MLM frameworks. Psychological Methods, 14, 183-201. doi:10.1037/a0015858
54. Yakovleva, M., Reilly, R., & Werko, R. (2010). Why do we trust? Moving beyond individual to dyadic perceptions. Journal of Applied Psychology, 95, 79-91. doi:10.1037/a0017102