Skip to main content
Log in

Tackling Longitudinal Round-Robin Data: A Social Relations Growth Model

  • Published:
Psychometrika Aims and scope Submit manuscript

Abstract

The social relations model (SRM) is commonly used in the analysis of interpersonal judgments and behaviors that arise in groups. The SRM was developed only for use with cross-sectional data. Here, we introduce an extension of the SRM to longitudinal data. The social relations growth model represents a person’s repeated SRM judgments of another person as a function of time. We show how the model’s parameters can be estimated using restricted maximum likelihood, and how the effects of covariates on interindividual and interdyad variability in growth can be computed. An example is presented to illustrate the suggested approach. We also present the results of a small simulation study showing the suitability of the social relations growth model for the analysis of longitudinal SRM data.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Notes

  1. Participants may also have provided self-ratings (e.g., how much they like themselves). However, as it is believed that self-ratings result from different processes than other-ratings, they are not included in an SRM analysis. This explains why the diagonal cells of a round-robin table are empty.

  2. We note that the present approach does allow estimating a random effect of the time-varying covariate together with all covariance parameters of the covariate with the relationship component of the slope and the intercept, respectively. However, one would have to adapt the likelihood estimator for this purpose.

References

  • Ackerman, R. A., Kashy, D. A., Donellan, M. B., & Conger, R. D. (2011). Positive engagement behaviors in observed family iinteractions: A social relations perspective. Journal of Family Psychology, 25, 719–730.

    Article  PubMed  PubMed Central  Google Scholar 

  • Bates, D., Maechler, M., Bolker, B. M., & Walker, S. (2014). Lme4: Linear mixed effects models using eigen und s4. Retrieved from http://cran.r-project.org/web/packages/lme4.

  • Bond, C. F., Dorsky, S. E., & Kenny, D. A. (1992). Person memory and memorability: A round robin analysis. Basic and Applied Social Psychology, 13, 285–302.

    Article  Google Scholar 

  • Bond, C. F., Horn, E. M., & Kenny, D. A. (1997). A model for triadic relations. Psychological Methods, 2, 79–94.

    Article  Google Scholar 

  • Bond, C. F., & Lashley, B. R. (1996). Round-robin analysis of social interaction: Exact and estimated standard errors. Psychometrika, 61, 303–311.

    Article  Google Scholar 

  • Bonito, J. A., & Kenny, D. A. (2010). The measurement of reliability of social relations components from round-robin designs. Personal Relationships, 17, 235–251.

    Article  Google Scholar 

  • Branje, S. J. T., Finkenauer, C., & Meeus, W. H. J. (2008). Modeling interdependent data in developmental psychology. In N. Card, J. Selig, & T. Little (Eds.), Modeling interdependent data in developmental psychology (pp. 287–317). Mahwah, NJ: Lawrence Erlbaum.

    Google Scholar 

  • Branje, S. J. T., van Lieshout, C. F. M., & van Aken, M. A. G. (2005). Relations between agreeableness and perceived support in family relationships: Why nice people are not always supportive. International Journal of Behavioral Development, 29, 120–128.

    Article  Google Scholar 

  • Buist, K. L., Reitz, E., & Dekovic, M. (2008). Attachment stability and change during adolescence: A longitudinal application of the social relations model. Journal of Social and Personal Relationships, 25, 429–444.

    Article  Google Scholar 

  • Card, N. A., Little, T. D., & Selig, J. P. (2008). Using the bivariate social relations model to study dyadic relationships: Early adolescents’ perceptions of friends’ aggression and prosocial behavior. In N. A. Card, J. P. Selig, & T. D. Little (Eds.), Modeling dyadic and interdependent data in the developmental and behavioral sciences (pp. 245–276). New York: Routledge.

    Google Scholar 

  • Cook, W. L. (2008). Application of the social relations model formulas to developmental research. In N. A. Card, J. P. Selig, & T. D. Little (Eds.), Modeling dyadic and interdependent data in the developmental and behavioral sciences (pp. 245–276). New York: Routledge.

    Google Scholar 

  • Curran, P. J., & Bollen, K. A. (2001). The best of both worlds: Combining autoregressive and latent curve models. In L. M. Collins & A. G. Sayer (Eds.), New methods for the analysis of change. Decade of behavior (pp. 107–135). Washington, DC: APA.

    Chapter  Google Scholar 

  • Demidenko, E. (2004). Mixed models: Theory and applications with R (2nd ed.). Hoboken, NJ: Wiley.

    Book  Google Scholar 

  • Dorff, C., & Ward, M. D. (2013). Networks, dyads, and the social relations model. Political Science Research Methods, 1, 159–178.

    Article  Google Scholar 

  • Genz, A., Bretz, F., Miwa, T., Mi, X., Leisch, F., Scheipl, F., & Hothorn, T. (2016). mvtnorm: Multivariate Normal and t Distributions. R package version 1.0–5. http://CRAN.R-project.org/package=mvtnorm.

  • Geukes, K., Hutteman, R., Küfner, A., Nestler, S., & Back, M. D. (2016). Explaining the longitudinal interplay of personality and social relationships in the laboratory and in the field: The PILS and the CONNECT study. Manuscript in preparation.

  • Gill, P. S., & Swartz, T. B. (2001). Statistical analyses for round robin interaction data. Canadian Journal of Statistics, 29, 321–331.

    Article  Google Scholar 

  • Gill, P. S., & Swartz, T. B. (2007). Bayesian analysis of dyadic data. American Journal of Mathematical and Managment Sciences, 27, 73–92.

    Google Scholar 

  • Hoff, P. D. (2005). Bilinear mixed-effects models for dyadic data. Journal of the American Statistical Association, 100, 286–295.

    Article  Google Scholar 

  • Horn, E. M., Collier, W. G., Oxford, J. A., Bond, C. F., & Dansereau, D. F. (1998). Individual differences in dyadic cooperative learning. Journal of Educational Psychology, 90, 153–161.

    Article  Google Scholar 

  • Jiang, J. (2007). Linear and generalized linear mixed models and their applications. New York: Springer.

    Google Scholar 

  • Kenny, D. A. (1994). Interpersonal perception: A social relations analysis. New York: Guilford Press.

    Google Scholar 

  • Kenny, D. A. (2004). PERSON: A general model of interpersonal perception. Personality and Social Psychology Review, 8, 265–280.

    Article  PubMed  Google Scholar 

  • Kenny, D. A., Kashy, D. A., & Cook, W. L. (2006). The analysis of dyadic data. New York: Guilford Press.

    Google Scholar 

  • Krivitsky, P. N. (2012). Exponential-family random graph models for valued networks. Electornic Journal of Statistics, 6, 1100–1128.

    Article  Google Scholar 

  • Küfner, A. C. P., Nestler, S., & Back, M. D. (2012). The two pathways to being an (un-)popular narcissist. Journal of Personality, 81, 184–195.

    Article  Google Scholar 

  • Leckelt, M., Küfner, A. C. P., Nestler, S., & Back, M. D. (2015). Behavioral processes underlying narcissist’s decline in popularity. Journal of Personality and Social Psychology, 109, 856–871.

    Article  PubMed  Google Scholar 

  • LeDoux, J. A., Gorman, C. A., & Woehr, D. J. (2012). The impact of interpersonal perceptions on team processes: A social relations analysis. Small Group Research, 43, 356–382.

    Article  Google Scholar 

  • Lüdtke, O., Robitzsch, A., Kenny, D. A., & Trautwein, U. (2013). A general and flexible approach to estimating the social relations model using Bayesian methods. Psychological Methods, 18, 101–119.

    Article  PubMed  Google Scholar 

  • Lusher, D., Koskinen, J., & Robins, G. (2013). Exponential random graph models for social networks: Theories, methods and applications. New York: Cambridge University Press.

    Google Scholar 

  • Marcus, D. K., & Kashy, D. A. (1995). The social relations model: A tool for group psychotherapy research. Journal of Counseling Psychology, 42, 383–389.

    Article  Google Scholar 

  • McCulloch, C. E., Searle, S. R., & Neuhaus, J. M. (2004). Generalized, linear, and mixed models (2nd ed.). Hoboken, NJ: Wiley.

    Google Scholar 

  • Nestler, S. (2015). Restricted maximum likelihood estimation for parameters of the social relations model. Psychometrika. doi:10.1007/s11336-015-9474-9.

  • Nestler, S. (2016). Likelihood estimation of the multivariate social relations model. Psychometrika (in press).

  • Nestler, S., Grimm, K. J., & Schönbrodt, F. D. (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.

    Article  Google Scholar 

  • Park, B., & Flink, C. (1989). A social relations analysis of agreement in liking judgments. Journal of Personality and Social Psychology, 56, 506–518.

    Article  Google Scholar 

  • Rosseel, Y. (2012). lavaan: An R package for structural equation modeling. Journal of Statistical Software, 48, 1–36.

    Article  Google Scholar 

  • Schönbrodt, F. D., Back, M. D., & Schmukle, S. C. (2012). TripleR: An R package for social relations analyses based on round-robin designs. Behavior Research Methods, 44, 455–470. doi:10.3758/s13428-011-0150-4.

  • Schönbrodt, F. D., Back, M. D., & Schmukle, S. C. (2016). TripleR: Social Relation Model (SRM) analyses for single or multiple groups (R package version 1.5.1). Retrieved from http://cran.r-project.org/package=TripleR.

  • Snijders, T. A. B., & Kenny, D. A. (1999). The social relations model for family data: A multilevel approach. Personal Relationships, 6, 471–486.

    Article  Google Scholar 

  • Snijders, T. A. B., Steglich, C. E. G., & van de Bunt, G. G. (2010). Introduction to actor-based models for network dynamics. Social Networks, 32, 44–60.

    Article  Google Scholar 

  • van Zalk, M. H., & Denissen, J. (2015). Idiosyncratic versus social consensus approaches to personality: Self-view, perceived, and peer-review similarity. Journal of Personality and Social Psychology, 109, 121–141.

    Article  PubMed  Google Scholar 

  • Verbeke, G., Fieuws, S., Molenbergh, G., & Davidian, M. (2014). The analysis of multivariate longitudinal data: A review. Statistical Methods in Medical Research, 23, 42–59.

    Article  PubMed  Google Scholar 

  • Verbeke, G., & Molenberghs, G. (2009). Linear mixed models for longitudinal data. Berlin: Springer.

    Google Scholar 

  • Warner, R. M., Kenny, D. A., & Stoto, M. (1979). A new round robin analysis of variance for social interaction data. Journal of Personality and Social Psychology, 37, 1742–1757.

    Article  Google Scholar 

  • Wasserman, S., & Faust, K. (1994). Social network analysis: Methods and applications. New York: Cambridge University Press.

    Book  Google Scholar 

Download references

Acknowledgement

We are grateful to Sarah Humberg for very helpful comments on an earlier version of the manuscript.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Steffen Nestler.

Additional information

This article is dedicated to Irmgard Laufer.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nestler, S., Geukes, K., Hutteman, R. et al. Tackling Longitudinal Round-Robin Data: A Social Relations Growth Model. Psychometrika 82, 1162–1181 (2017). https://doi.org/10.1007/s11336-016-9546-5

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11336-016-9546-5

Keywords

Navigation