[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/a/wly/emetrp/v90y2022i3p1205-1223.html
   My bibliography  Save this article

Testing for Differences in Stochastic Network Structure

Author

Listed:
  • Eric Auerbach
Abstract
How can one determine whether a treatment, such as the introduction of a social program or trade shock, alters agents' incentives to form links in a network? This paper proposes analogs of a two‐sample Kolmogorov–Smirnov test, widely used in the literature to test the null hypothesis of no treatment effects, for network data. It first specifies a testing problem in which the null hypothesis is that two networks are drawn from the same random graph model. It then describes two randomization tests based on the magnitude of the difference between the networks' adjacency matrices as measured by the 2 → 2 and ∞ → 1 operator norms. Power properties of the tests are examined analytically, in simulation, and through two real‐world applications. A key finding is that the test based on the ∞ → 1 norm can be much more powerful for the kinds of sparse and degree‐heterogeneous networks common in economics.

Suggested Citation

  • Eric Auerbach, 2022. "Testing for Differences in Stochastic Network Structure," Econometrica, Econometric Society, vol. 90(3), pages 1205-1223, May.
    • Handle: RePEc:wly:emetrp:v:90:y:2022:i:3:p:1205-1223
    DOI: 10.3982/ECTA18093
    as

    Download full text from publisher

    File URL: https://doi.org/10.3982/ECTA18093
    Download Restriction: no
    File URL: https://libkey.io/10.3982/ECTA18093?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. repec:dau:papers:123456789/10840 is not listed on IDEAS
    2. Andrew K. Rose, 2004. "Do We Really Know That the WTO Increases Trade?," American Economic Review, American Economic Association, vol. 94(1), pages 98-114, March.
    3. Sanjeev Goyal & Marco J. van der Leij & José Luis Moraga-Gonzalez, 2006. "Economics: An Emerging Small World," Journal of Political Economy, University of Chicago Press, vol. 114(2), pages 403-432, April.
    4. Andrin Pelican & Bryan S. Graham, 2020. "An optimal test for strategic interaction in social and economic network formation between heterogeneous agents," Papers 2009.00212, arXiv.org, revised May 2022.
    5. Fafchamps, Marcel & Gubert, Flore, 2007. "The formation of risk sharing networks," Journal of Development Economics, Elsevier, vol. 83(2), pages 326-350, July.
    6. Marcel Fafchamps & Flore Gubert, 2007. "Risk Sharing and Network Formation," American Economic Review, American Economic Association, vol. 97(2), pages 75-79, May.
    7. repec:dau:papers:123456789/4392 is not listed on IDEAS
    8. Matthew O. Jackson & Brian W. Rogers, 2007. "Meeting Strangers and Friends of Friends: How Random Are Social Networks?," American Economic Review, American Economic Association, vol. 97(3), pages 890-915, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Carayol, Nicolas & Bergé, Laurent & Cassi, Lorenzo & Roux, Pascale, 2019. "Unintended triadic closure in social networks: The strategic formation of research collaborations between French inventors," Journal of Economic Behavior & Organization, Elsevier, vol. 163(C), pages 218-238.
    2. Heath Henderson & Arnob Alam, 2022. "The structure of risk-sharing networks," Empirical Economics, Springer, vol. 62(2), pages 853-886, February.
    3. Tadao Hoshino & Daichi Shimamoto & Yasuyuki Todo, 2020. "Accounting for Heterogeneity in Network Formation Behaviour: An Application to Vietnamese SMEs," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 82(5), pages 1042-1067, October.
    4. David de la Croix & Pauline Morault, 2020. "Winners and Losers from the Protestant Reformation: An Analysis of the Network of European Universities," LIDAM Discussion Papers IRES 2020029, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    5. Alex Centeno, 2022. "A Structural Model for Detecting Communities in Networks," Papers 2209.08380, arXiv.org, revised Oct 2022.
    6. Kovářík Jaromír & van der Leij Marco J., 2014. "Risk Aversion and Social Networks," Review of Network Economics, De Gruyter, vol. 13(2), pages 121-155.
    7. Otello Ardovino & Maria Rosaria Carillo & Luca Pennacchio, 2016. "R&D cooperation within Italian technological districts: A microeconometric analysis," Discussion Papers 2_2016, CRISEI, University of Naples "Parthenope", Italy.
    8. Margherita Comola & Mariapia Mendola, 2015. "Formation of Migrant Networks," Scandinavian Journal of Economics, Wiley Blackwell, vol. 117(2), pages 592-618, April.
    9. Michele Battisti & Andrea Mario Lavezzi & Roberto Musotto, 2022. "Organizing Crime: an Empirical Analysis of the Sicilian Mafia," Papers 2205.02310, arXiv.org.
    10. Bryan S. Graham, 2019. "Network Data," CeMMAP working papers CWP71/19, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    11. Shuyang Sheng, 2020. "A Structural Econometric Analysis of Network Formation Games Through Subnetworks," Econometrica, Econometric Society, vol. 88(5), pages 1829-1858, September.
    12. Otello Ardovino & Luca Pennacchio, 2012. "Le determinanti della cooperazione nei distretti tecnologici italiani finanziati dal governo," STUDI ECONOMICI, FrancoAngeli Editore, vol. 2012(108), pages 121-149.
    13. Rute M. Caeiro & Pedro C. Vicente, 2020. "Knowledge of vitamin A deficiency and crop adoption: Evidence from a field experiment in Mozambique," Agricultural Economics, International Association of Agricultural Economists, vol. 51(2), pages 175-190, March.
    14. Lorenzo Ductor & Sanjeev Goyal & Anja Prummer, 2018. "Gender & Collaboration," Working Papers 856, Queen Mary University of London, School of Economics and Finance.
    15. Cilem Selin Hazir & Corinne Autant-Bernard, 2012. "Using Affiliation Networks to Study the Determinants of Multilateral Research Cooperation Some empirical evidence from EU Framework Programs in biotechnology," Working Papers 1212, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    16. Sylvain Dessy & Luca Tiberti & Marco Tiberti & David Zoundi, 2024. "Coping with Drought in Village Economies: The Role of Polygyny," Working Papers - Economics wp2024_13.rdf, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
    17. Konstantinos Matakos & Dimitrios Minos & Ari Perdana & Elizabeth Radin, 2022. "“Dragon boating” alone? Community ties and systemic income shocks," Journal of International Development, John Wiley & Sons, Ltd., vol. 34(1), pages 55-81, January.
    18. Cui Zhang & Dandan Zhang, 2023. "Spatial Interactions and the Spread of COVID-19: A Network Perspective," Computational Economics, Springer;Society for Computational Economics, vol. 62(1), pages 383-405, June.
    19. Fe, Hao, 2023. "Social networks and consumer behavior: Evidence from Yelp," Journal of Economic Behavior & Organization, Elsevier, vol. 209(C), pages 1-14.
    20. Sriroop Chaudhuri & Mimi Roy & Louis M. McDonald & Yves Emendack, 2021. "Reflections on farmers’ social networks: a means for sustainable agricultural development?," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(3), pages 2973-3008, March.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:emetrp:v:90:y:2022:i:3:p:1205-1223. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/essssea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.