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Statistical Inference for Valued-Edge Networks: The Generalized Exponential Random Graph Model

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  • Bruce A Desmarais
  • Skyler J Cranmer

Abstract

Across the sciences, the statistical analysis of networks is central to the production of knowledge on relational phenomena. Because of their ability to model the structural generation of networks based on both endogenous and exogenous factors, exponential random graph models are a ubiquitous means of analysis. However, they are limited by an inability to model networks with valued edges. We address this problem by introducing a class of generalized exponential random graph models capable of modeling networks whose edges have continuous values (bounded or unbounded), thus greatly expanding the scope of networks applied researchers can subject to statistical analysis.

Suggested Citation

  • 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.
    • Handle: RePEc:plo:pone00:0030136
    DOI: 10.1371/journal.pone.0030136
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    1. Zhang Bin & Horvath Steve, 2005. "A General Framework for Weighted Gene Co-Expression Network Analysis," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 4(1), pages 1-45, August.
    2. Garry Robins & Philippa Pattison & Stanley Wasserman, 1999. "Logit models and logistic regressions for social networks: III. Valued relations," Psychometrika, Springer;The Psychometric Society, vol. 64(3), pages 371-394, September.
    3. Yongwan Chun, 2008. "Modeling network autocorrelation within migration flows by eigenvector spatial filtering," Journal of Geographical Systems, Springer, vol. 10(4), pages 317-344, December.
    4. Oliver Richters & Tiago P Peixoto, 2011. "Trust Transitivity in Social Networks," PLOS ONE, Public Library of Science, vol. 6(4), pages 1-14, April.
    5. Mizera, Ivan & Müller, Christine H., 2002. "Breakdown points of Cauchy regression-scale estimators," Statistics & Probability Letters, Elsevier, vol. 57(1), pages 79-89, March.
    6. Cranmer, Skyler J. & Desmarais, Bruce A., 2011. "Inferential Network Analysis with Exponential Random Graph Models," Political Analysis, Cambridge University Press, vol. 19(1), pages 66-86, January.
    7. Phillip B. Levine & David J. Zimmerman, 1999. "An empirical analysis of the welfare magnet debate using the NLSY," Journal of Population Economics, Springer;European Society for Population Economics, vol. 12(3), pages 391-409.
    8. Sean L Simpson & Satoru Hayasaka & Paul J Laurienti, 2011. "Exponential Random Graph Modeling for Complex Brain Networks," PLOS ONE, Public Library of Science, vol. 6(5), pages 1-11, May.
    9. 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).
    10. Dror Y Kenett & Michele Tumminello & Asaf Madi & Gitit Gur-Gershgoren & Rosario N Mantegna & Eshel Ben-Jacob, 2010. "Dominating Clasp of the Financial Sector Revealed by Partial Correlation Analysis of the Stock Market," PLOS ONE, Public Library of Science, vol. 5(12), pages 1-14, December.
    11. Stasinopoulos, D. Mikis & Rigby, Robert A., 2007. "Generalized Additive Models for Location Scale and Shape (GAMLSS) in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 23(i07).
    12. Zhang, Yan & Friend, A.J. & Traud, Amanda L. & Porter, Mason A. & Fowler, James H. & Mucha, Peter J., 2008. "Community structure in Congressional cosponsorship networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(7), pages 1705-1712.
    13. D. Garlaschelli & M. I. Loffredo, 2004. "Fitness-dependent topological properties of the World Trade Web," Papers cond-mat/0403051, arXiv.org, revised Oct 2004.
    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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    4. Neal, Zachary P. & Domagalski, Rachel & Yan, Xiaoqin, 2020. "Homophily in Collaborations among US House Representatives, 1981 -- 2018," OSF Preprints qwdxs_v1, Center for Open Science.
    5. Philip Solimine & Luke Boosey, 2021. "Strategic formation of collaborative networks," Papers 2109.14204, arXiv.org, revised Apr 2024.
    6. Scott W. Duxbury, 2023. "The Problem of Scaling in Exponential Random Graph Models," Sociological Methods & Research, , vol. 52(2), pages 764-802, May.
    7. Etsuji Suzuki & Eiji Yamamoto & Soshi Takao & Ichiro Kawachi & S V Subramanian, 2012. "Clarifying the Use of Aggregated Exposures in Multilevel Models: Self-Included vs. Self-Excluded Measures," PLOS ONE, Public Library of Science, vol. 7(12), pages 1-9, December.
    8. Lee, Jihui & Li, Gen & Wilson, James D., 2020. "Varying-coefficient models for dynamic networks," Computational Statistics & Data Analysis, Elsevier, vol. 152(C).
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    10. Duxbury, Scott W, 2019. "Mediation and Moderation in Statistical Network Models," SocArXiv 9bs4u, Center for Open Science.
    11. Kei, Yik Lun & Chen, Yanzhen & Madrid Padilla, Oscar Hernan, 2023. "A partially separable model for dynamic valued networks," Computational Statistics & Data Analysis, Elsevier, vol. 187(C).
    12. Aksoy, Ozan & Yıldırım, Sinan, 2020. "A model of dynamic migration networks: Explaining Turkey's inter-provincial migration flows," SocArXiv rf724, Center for Open Science.

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