Latent State-Trait Models for Longitudinal Family Data
Investigating Consistency in Perceived Support
Abstract
Abstract. Support is key to healthy family functioning. Using the family social relations model (SRM), it has already been shown that variability in perceived support is mostly attributed to individual perceiver effects. Little is known, however, as to whether those effects are stable or occasion-specific. Several methods have been proposed within the structural equation modeling (SEM) framework for the investigation of hypotheses on stable and occasion-specific aspects of such psychological attributes. In this paper, we explore the applicability of different models for determining the consistency of SRM effects of perceived support: the multistate model, the singletrait-multistate model, and the trait-state occasion model. We provide a detailed description of the model building process and assumption verification, as well as the supporting R-code. In addition to the methodological contribution on how to combine these models with the SRM, we also provide substantive insights into the consistency of perceived family support. We rely on round robin data on relational support from the Dutch RADAR-Y (Research on Adolescent Development and Relationships – Younger Cohort) study, a 6-year longitudinal study of 500 families with a 13-year-old target adolescent at the start of the study.
References
2011). Positive-engagement behaviors in observed family interactions: A social relations perspective. Journal of Family Psychology, 25, 719–730. doi: 10.1037/a0025288
(2013). The interpersonal legacy of a positive family climate in adolescence. Psychological Science, 24, 243–250. doi: 10.1177/0956797612447818
(1979). The ecology of human development: Experiments by nature and design. Cambridge, MA: Harvard University Press.
(2002). Relational support in families with adolescents. Journal of Family Psychology, 16, 351–362. doi: 10.1037/0893-3200.16.3.351
(1989). Testing for the equivalence of factor covariance and mean structures: The issue of partial measurement invariance. Psychological Bulletin, 105, 456–466. doi: 10.1037/0033-2909.105.3.456
(2010). It takes two to fight in school, too: A social relations model of the psychometric properties and relative variance of dyadic aggression and victimization in Middle School. Social Development, 19, 447–469. doi: 10.1111/j.1467-9507.2009.00562.x
(2012).
(Applying the Social Relations Model to developmental research . In B. LaursenT. D. LittleN. A. CardEds., Handbook of developmental research methods (pp. 557–576). New York, NY: The Guilford Press.2010). Meta-analysis of the relationships between social support and well-being in children and adolescents. Journal of Social and Clinical Psychology, 29, 624–645. doi: 10.1521/jscp.2010.29.6.624
(2005). Empirical and conceptual problems with longitudinal trait-state models: Introducing a trait-state occasion model. Psychological Methods, 10, 3–20. doi: 10.1037/1082-989X.10.1.3
(2003). More than myth: The developmental significance of romantic relationships during adolescence. Journal of Research on Adolescence, 13, 1–24. doi: 10.1111/1532-7795.1301001
(W. A. CollinsB. Laursen (1999). Relationships as developmental contexts: The Minnesota symposium on child psychology. Mahwah, NJ: Erlbaum.
1994). A Structural Equation Model of dyadic relationships within the family system. Journal of Consulting and Clinical Psychology, 62, 500–509. doi: 10.1037/0022-006X.62.3.500
(2003). Understanding families as systems. Current Directions in Psychological Science, 12, 193–196. doi: 10.1111/1467-8721.01259
(2009). Linkages over time between adolescents’ relationships with parents and friends. Journal of Youth and Adolescence, 38, 1304–1315. doi: 10.1007/s10964-009-9403-2
(2016). Hypothesis testing using factor score regression: A comparison of four methods. Educational and Psychological Measurement, 76, 741–770. doi: 10.1177/0013164415607618
(2009). The Social Relations Model in family studies: A systematic review. Journal of Marriage and Family, 71, 1052–1069. doi: 10.1111/j.1741-3737.2009.00652.x
(1985). Children’s perceptions of the personal relationships in their social networks. Developmental Psychology, 21, 1016–1024. doi: 10.1037/0012-1649.21.6.1016
(2015). Distinguishing state variability from trait change in longitudinal data: The role of measurement (non)invariance in latent state-trait analyses. Behavior Research Methods, 47, 172–203. doi: 10.3758/s13428-014-0457-z
(2012). A comparison of four approaches to account for method effects in latent state-trait analysis. Psychological Methods, 17, 255–283. doi: 10.1037/a0026977
(2005). The stability and impact of environmental factors on substance use and problems after adolescent outpatient treatment for cannabis abuse or dependence. Psychology of Addictive Behaviors, 19, 62–70. doi: 10.1037/0893-164X.19.1.62
(2015). Interpersonal perceptions of narcissism in an at-risk adolescent sample: A social relations analysis. Journal of Research on Adolescence, 25, 92–100. doi: 10.1111/jora.12088
(1986). Individuation in family relationships. Human Development, 29, 82–100. doi: 10.1159/000273025
(1976). Modern factor analysis. Chicago, IL: University of Chicago Press.
(2008). Family and individual difference predictors of trait aspects of negative interpersonal behaviors during emerging adulthood. Journal of Family Psychology, 22, 448–455. doi: 10.1037/0893-3200.22.3.448
(2006). Dyadic data analysis. New York, NY: The Guilford Press.
(1984). The Social Relations Model. Advances in Experimental Social Psychology, 18, 141–182. doi: 10.1016/S0065-2601(08)60144-6
(1995). The trait-state-error model for multiwave data. Journal of Consulting and Clinical Psychology, 63, 52–59. doi: 10.1037/0022-006X.63.1.52
(2001).
(The trait-state models for longitudinal data . In L. M. CollinsA. G. SayerEds., New methods for the analysis of change (pp. 243–263). Washington, DC: American Psychological Association.2008). An expansion of the trait-state-occasion model: Accounting for shared method variance. Structural Equation Modeling, 15, 241–271. doi: 10.1080/10705510801922381
(2011). Relational regulation theory: A new approach to explain the link between perceived social support and mental health. Psychological Review, 118, 482–495. doi: 10.1037/a0023477
(2014). Supportive relationships within ongoing families: Cross-lagged effects between components of support and adjustment in parents and young adult children. Journal of Adolescence, 37, 1489–1503. doi: 10.1016/j.adolescence.2014.07.017
(2007). Level validity of self-report whole-family measures. Journal of Family Psychology, 21, 605–613. doi: 10.1037/0893-3200.21.4.605
(2015). The social consequences and mechanisms of personality: How to analyse longitudinal data from individual, dyadic, round-robin and network designs. European Journal of Personality, 29, 272–295. doi: 10.1002/per.1997
(2003).
(Circumplex model of marital and family systems . In F. WalshEd., Normal Family Processes (3rd ed., pp. 514–547). New York, NY: The Guilford Press.2016). Specifying and interpreting latent state-trait models with autoregression: An illustration. Structural Equation Modeling: A Multidisciplinary Journal, 23, 1–19. doi: 10.1080/10705511.2016.1186550
(2012). lavaan: An R package for structural equation modeling. Journal of Statistical Software, 48, 1–36. doi: 10.18637/jss.v048.i02
(2000). Mother-daughter attachment and family cohesion: Single- and multi-construct latent state-trait models of current and retrospective perceptions. European Journal of Psychological Assessment, 16, 115–124. doi: 10.1027/1015-5759.16.2.115
(2015). Getting the most out of family data with the R-package SRM. Journal of Family Psychology, 29, 263–275. doi: 10.1037/fam0000058
(2002).
(Parenting adolescents . In M. H. BornsteinEd., Handbook of parenting: Vol. 1: Children and parenting (2nd ed., pp. 103–133). Mahwah, NJ: Erlbaum.1992). States and traits in psychological assessment. European Journal of Psychological Assessment, 8, 79–98.
(2015). A theory of states and traits revised. Annual Review of Clinical Psychology, 11, 71–98. doi: 10.1146/annurev-clinpsy-032813-153719
(1994).
(The theory of confounding and its application in causal modeling with latent variables . In A. von EyeC. C. CloggEds., Latent variables analysis: Applications for developmental research (pp. 36–67). Thousand Oaks, CA: Sage.2013). Continuity and discontinuity in perceptions of family relationships from adolescence to young adulthood. Child Development, 84, 471–484. doi: 10.1111/j.1467-8624.2012.01858.x
(2015). Peer status and classroom seating arrangements: A social relations analysis. Journal of Experimental Child Psychology, 130, 19–34. doi: 10.1016/j.jecp.2014.09.007
(1990). H. A. BosmaA. E. S. JacksonEds., Self through relationship development. Coping and Self-Concept in Adolescent (pp. 129–148). Berlin, Germany: Springer.
(