Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
139 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Modeling Homophily in Exponential-Family Random Graph Models for Bipartite Networks (2312.05673v1)

Published 9 Dec 2023 in cs.SI and stat.AP

Abstract: Homophily, the tendency of individuals who are alike to form ties with one another, is an important concept in the study of social networks. Yet accounting for homophily effects is complicated in the context of bipartite networks where ties connect individuals not with one another but rather with a separate set of nodes, which might also be individuals but which are often an entirely different type of objects. As a result, much work on the effect of homophily in a bipartite network proceeds by first eliminating the bipartite structure, collapsing a two-mode network to a one-mode network and thereby ignoring potentially meaningful structure in the data. We introduce a set of methods to model homophily on bipartite networks without losing information in this way, then we demonstrate that these methods allow for substantively interesting findings in management science not possible using standard techniques. These methods are implemented in the widely-used ergm package for R.

Definition Search Book Streamline Icon: https://streamlinehq.com
References (31)
  1. {barticle}[author] \bauthor\bsnmAgneessens, \bfnmFilip\binitsF., \bauthor\bsnmRoose, \bfnmHenk\binitsH. and \bauthor\bsnmWaege, \bfnmHans\binitsH. (\byear2004). \btitleChoices of Theatre Events: p* Models for Affiliation Networks with Attributes. \bjournalMetodoloski zvezki \bvolume1 \bpages419–439. \endbibitem
  2. {barticle}[author] \bauthor\bsnmBorgatti, \bfnmS.\binitsS. and \bauthor\bsnmEverett, \bfnmM.\binitsM. (\byear1997). \btitleNetwork Analysis of 2-Mode Data. \bjournalSocial Networks \bvolume19 \bpages243-269. \endbibitem
  3. {barticle}[author] \bauthor\bsnmChin, \bfnmTee Suan\binitsT. S. and \bauthor\bsnmMd Yusoff, \bfnmRosman\binitsR. (\byear2020). \btitleMediating effects of soft skills to business performance: A study on a manufacturing organization. \bjournalJournal of Critical Reviews \bvolume7 \bpages304–308. \endbibitem
  4. {barticle}[author] \bauthor\bsnmChu, \bfnmJohan SG\binitsJ. S. and \bauthor\bsnmDavis, \bfnmGerald F\binitsG. F. (\byear2016). \btitleWho killed the inner circle? The decline of the American corporate interlock network. \bjournalAmerican Journal of Sociology \bvolume122 \bpages714–754. \endbibitem
  5. {barticle}[author] \bauthor\bparticlede \bsnmCarvalho, \bfnmMarly Monteiro\binitsM. M. and \bauthor\bsnmJunior, \bfnmRoque Rabechini\binitsR. R. (\byear2015). \btitleImpact of risk management on project performance: The importance of soft skills. \bjournalInternational Journal of Production Research \bvolume53 \bpages321–340. \bdoi10.1080/00207543.2014.919423 \endbibitem
  6. {barticle}[author] \bauthor\bsnmEfron, \bfnmB.\binitsB. (\byear1975). \btitleDefining the Curvature of a Statistical Problem (with Applications to Second Order Efficiency). \bjournalAnnals of Statistics \bvolume3 \bpages1189–1242. \endbibitem
  7. {barticle}[author] \bauthor\bsnmEfron, \bfnmB.\binitsB. (\byear1978). \btitleThe Geometry of Exponential Families. \bjournalThe Annals of Statistics \bvolume6 \bpages362–376. \endbibitem
  8. {barticle}[author] \bauthor\bsnmErhardt, \bfnmNiclas L\binitsN. L., \bauthor\bsnmWerbel, \bfnmJames D\binitsJ. D. and \bauthor\bsnmShrader, \bfnmCharles B\binitsC. B. (\byear2003). \btitleBoard of director diversity and firm financial performance. \bjournalCorporate governance: An international review \bvolume11 \bpages102–111. \endbibitem
  9. {bmanual}[author] \bauthor\bsnmHandcock, \bfnmM. S.\binitsM. S. (\byear2003). \btitleAssessing degeneracy in statistical models of social networks \bpublisherCenter for Statistics and the Social Sciences, University of Washington \bnoteWorking paper #39. \endbibitem
  10. {barticle}[author] \bauthor\bsnmHoward, \bfnmMichael D\binitsM. D., \bauthor\bsnmWithers, \bfnmMichael C\binitsM. C. and \bauthor\bsnmTihanyi, \bfnmLaszlo\binitsL. (\byear2017). \btitleKnowledge dependence and the formation of director interlocks. \bjournalAcademy of Management Journal \bvolume60 \bpages1986–2013. \endbibitem
  11. {barticle}[author] \bauthor\bsnmHunter, \bfnmDavid R.\binitsD. R. (\byear2007a). \btitleCurved exponential family models for social networks. \bjournalSocial Networks \bvolume29 \bpages216–230. \endbibitem
  12. {barticle}[author] \bauthor\bsnmHunter, \bfnmD. R.\binitsD. R. (\byear2007b). \btitleCurved exponential family models for social networks. \bjournalSocial Networks \bvolume29 \bpages216–230. \endbibitem
  13. {barticle}[author] \bauthor\bsnmHunter, \bfnmD. R.\binitsD. R. and \bauthor\bsnmHandcock, \bfnmM. S.\binitsM. S. (\byear2006). \btitleInference in curved exponential family models for networks. \bjournalJournal of Computational and Graphical Statistics \bvolume15 \bpages565–583. \endbibitem
  14. {barticle}[author] \bauthor\bsnmKevork, \bfnmSevag\binitsS. and \bauthor\bsnmKauermann, \bfnmGöran\binitsG. (\byear2022). \btitleBipartite exponential random graph models with nodal random effects. \bjournalSocial Networks \bvolume70 \bpages90–99. \endbibitem
  15. {barticle}[author] \bauthor\bsnmKim, \bfnmDaehyun\binitsD. and \bauthor\bsnmStarks, \bfnmLaura T\binitsL. T. (\byear2016). \btitleGender diversity on corporate boards: Do women contribute unique skills? \bjournalAmerican Economic Review \bvolume106 \bpages267–271. \endbibitem
  16. {barticle}[author] \bauthor\bsnmKirsch, \bfnmAnja\binitsA. (\byear2018). \btitleThe gender composition of corporate boards: A review and research agenda. \bjournalThe Leadership Quarterly \bvolume29 \bpages346–364. \endbibitem
  17. {barticle}[author] \bauthor\bsnmLaker, \bfnmDennis R\binitsD. R. and \bauthor\bsnmPowell, \bfnmJimmy L\binitsJ. L. (\byear2011). \btitleThe differences between hard and soft skills and their relative impact on training transfer. \bjournalHuman resource development quarterly \bvolume22 \bpages111–122. \endbibitem
  18. {barticle}[author] \bauthor\bsnmLamb, \bfnmNai H\binitsN. H. and \bauthor\bsnmRoundy, \bfnmPhilip\binitsP. (\byear2016). \btitleThe “ties that bind” board interlocks research: A systematic review. \bjournalManagement Research Review \bvolume39 \bpages1516–1542. \endbibitem
  19. {barticle}[author] \bauthor\bsnmLatapy, \bfnmMatthieu\binitsM., \bauthor\bsnmMagnien, \bfnmClémence\binitsC. and \bauthor\bsnmVecchio, \bfnmNathalie Del\binitsN. D. (\byear2008). \btitleBasic notions for the analysis of large two-mode networks. \bjournalSocial Networks \bvolume30 \bpages31 - 48. \endbibitem
  20. {barticle}[author] \bauthor\bsnmMartin, \bfnmGeoffrey\binitsG., \bauthor\bsnmGözübüyük, \bfnmRemzi\binitsR. and \bauthor\bsnmBecerra, \bfnmManuel\binitsM. (\byear2015). \btitleInterlocks and firm performance: The role of uncertainty in the directorate interlock-performance relationship. \bjournalStrategic Management Journal \bvolume36 \bpages235–253. \endbibitem
  21. {barticle}[author] \bauthor\bsnmMcDonald, \bfnmMichael L\binitsM. L. and \bauthor\bsnmWestphal, \bfnmJames D\binitsJ. D. (\byear2013). \btitleAccess denied: Low mentoring of women and minority first-time directors and its negative effects on appointments to additional boards. \bjournalAcademy of Management Journal \bvolume56 \bpages1169–1198. \endbibitem
  22. {barticle}[author] \bauthor\bsnmMcPherson, \bfnmMiller\binitsM., \bauthor\bsnmSmith-Lovin, \bfnmLynn\binitsL. and \bauthor\bsnmCook, \bfnmJames M\binitsJ. M. (\byear2001). \btitleBirds of a Feather: Homophily in Social Networks. \bjournalAnnual Review of Sociology \bvolume27 \bpages415–444. \endbibitem
  23. {barticle}[author] \bauthor\bsnmPark, \bfnmSun Hyun\binitsS. H. and \bauthor\bsnmWestphal, \bfnmJames D\binitsJ. D. (\byear2013). \btitleSocial discrimination in the corporate elite: How status affects the propensity for minority CEOs to receive blame for low firm performance. \bjournalAdministrative Science Quarterly \bvolume58 \bpages542–586. \endbibitem
  24. {bbook}[author] \bauthor\bsnmPfeffer, \bfnmJeffrey\binitsJ. and \bauthor\bsnmSalancik, \bfnmGerald R\binitsG. R. (\byear2003). \btitleThe external control of organizations: A resource dependence perspective. \bpublisherStanford University Press. \endbibitem
  25. {barticle}[author] \bauthor\bsnmRobins, \bfnmGarry\binitsG. and \bauthor\bsnmAlexander, \bfnmMalcolm\binitsM. (\byear2004). \btitleSmall Worlds Among Interlocking Directors: Network Structure and Distance in Bipartite Graphs. \bjournalComputational & Mathematical Organization Theory \bvolume10 \bpages69–94. \endbibitem
  26. {barticle}[author] \bauthor\bsnmRobles, \bfnmMarcel M\binitsM. M. (\byear2012). \btitleExecutive perceptions of the top 10 soft skills needed in today’s workplace. \bjournalBusiness communication quarterly \bvolume75 \bpages453–465. \endbibitem
  27. {barticle}[author] \bauthor\bsnmSeebeck, \bfnmAndreas\binitsA. and \bauthor\bsnmVetter, \bfnmJulia\binitsJ. (\byear2021). \btitleNot just a gender numbers game: How board gender diversity affects corporate risk disclosure. \bjournalJournal of Business Ethics \bpages1–26. \endbibitem
  28. {barticle}[author] \bauthor\bsnmShalizi, \bfnmCosma Rohilla\binitsC. R. and \bauthor\bsnmRinaldo, \bfnmAlessandro\binitsA. (\byear2013). \btitleConsistency under sampling of exponential random graph models. \bjournalAnnals of Statistics \bvolume41 \bpages508–535. \endbibitem
  29. {barticle}[author] \bauthor\bsnmWasserman, \bfnmS.\binitsS. and \bauthor\bsnmPattison, \bfnmP.\binitsP. (\byear1996). \btitleLogit models and logistic regressions for social networks: I. An introduction to Markov graphs and p*. \bjournalPsychometrika \bvolume61 \bpages401–425. \endbibitem
  30. {barticle}[author] \bauthor\bsnmWithers, \bfnmMichael C\binitsM. C., \bauthor\bsnmHoward, \bfnmMichael D\binitsM. D. and \bauthor\bsnmTihanyi, \bfnmLaszlo\binitsL. (\byear2020). \btitleYou’ve got a friend: Examining board interlock formation after financial restatements. \bjournalOrganization Science \bvolume31 \bpages742–769. \endbibitem
  31. {barticle}[author] \bauthor\bsnmZhu, \bfnmDavid H\binitsD. H. and \bauthor\bsnmWestphal, \bfnmJames D\binitsJ. D. (\byear2014). \btitleHow directors’ prior experience with other demographically similar CEOs affects their appointments onto corporate boards and the consequences for CEO compensation. \bjournalAcademy of management journal \bvolume57 \bpages791–813. \endbibitem

Summary

We haven't generated a summary for this paper yet.