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Mediation and Moderation in Statistical Network Models

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  • Duxbury, Scott W

Abstract

Statistical network methods have grown increasingly popular in the social sciences. However, like other nonlinear probability models, statistical network model parameters can only be identified to a scale and cannot be compared between groups or models fit to the same network. This study addresses these issues by developing methods for mediation and moderation analyses in exponential random graph models (ERGM). It first discusses ERGM as an autologistic regression to illustrate that ERGM estimates can be affected by unobserved heterogeneity. Second, it develops methods for mediation analysis for both discrete and continuous mediators. Third, it provides recommendations and methods for interpreting interactions in ERGM. Finally, it considers scenarios where interactions are implicated in mediation analysis. The methodological discussion is accompanied with empirical applications and extensions to other classes of statistical network models are discussed.

Suggested Citation

  • Duxbury, Scott W, 2019. "Mediation and Moderation in Statistical Network Models," SocArXiv 9bs4u, Center for Open Science.
  • Handle: RePEc:osf:socarx:9bs4u
    DOI: 10.31219/osf.io/9bs4u
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    1. Richard Breen & Kristian Bernt Karlson & Anders Holm, 2013. "Total, Direct, and Indirect Effects in Logit and Probit Models," Sociological Methods & Research, , vol. 42(2), pages 164-191, May.
    2. Box-Steffensmeier, Janet M. & Christenson, Dino P. & Morgan, Jason W., 2018. "Modeling Unobserved Heterogeneity in Social Networks with the Frailty Exponential Random Graph Model," Political Analysis, Cambridge University Press, vol. 26(1), pages 3-19, January.
    3. Kuha, Jouni & Mills, Colin, 2018. "On group comparisons with logistic regression models," LSE Research Online Documents on Economics 84163, London School of Economics and Political Science, LSE Library.
    4. Papachristos, Andrew V. & Wildeman, Christopher & Roberto, Elizabeth, 2015. "Tragic, but not random: The social contagion of nonfatal gunshot injuries," Social Science & Medicine, Elsevier, vol. 125(C), pages 139-150.
    5. Gelman, Andrew & Stern, Hal, 2006. "The Difference Between," The American Statistician, American Statistical Association, vol. 60, pages 328-331, November.
    6. Krivitsky, Pavel N., 2017. "Using contrastive divergence to seed Monte Carlo MLE for exponential-family random graph models," Computational Statistics & Data Analysis, Elsevier, vol. 107(C), pages 149-161.
    7. Steven Goodreau & James Kitts & Martina Morris, 2009. "Birds of a feather, or friend of a friend? using exponential random graph models to investigate adolescent social networks," Demography, Springer;Population Association of America (PAA), vol. 46(1), pages 103-125, February.
    8. Duxbury, Scott W, 2018. "Diagnosing Multicollinearity in Exponential Random Graph Models," SocArXiv 2tgm7, Center for Open Science.
    9. Bruce A Desmarais & Skyler J Cranmer, 2012. "Statistical Inference for Valued-Edge Networks: The Generalized Exponential Random Graph Model," PLOS ONE, Public Library of Science, vol. 7(1), pages 1-12, January.
    10. Snijders, Tom A.B. & Lomi, Alessandro, 2019. "Beyond homophily: Incorporating actor variables in statistical network models," Network Science, Cambridge University Press, vol. 7(1), pages 1-19, March.
    11. Leifeld, Philip & Cranmer, Skyler J., 2019. "A theoretical and empirical comparison of the temporal exponential random graph model and the stochastic actor-oriented model," Network Science, Cambridge University Press, vol. 7(1), pages 20-51, March.
    12. Morris, Martina & Handcock, Mark S. & Hunter, David R., 2008. "Specification of Exponential-Family Random Graph Models: Terms and Computational Aspects," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 24(i04).
    13. Handcock, Mark S. & Hunter, David R. & Butts, Carter T. & Goodreau, Steven M. & Morris, Martina, 2008. "statnet: Software Tools for the Representation, Visualization, Analysis and Simulation of Network Data," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 24(i01).
    14. Stanley Wasserman & Philippa Pattison, 1996. "Logit models and logistic regressions for social networks: I. An introduction to Markov graphs andp," Psychometrika, Springer;The Psychometric Society, vol. 61(3), pages 401-425, September.
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