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Ignoring measurement errors in social networks

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  • Arthur Lewbel
  • Xi Qu
  • Xun Tang

Abstract

SummaryWe consider peer effect estimation in social network models where some network links are incorrectly measured. We show that if the number or magnitude of mismeasured links does not grow too quickly with the sample size, then standard instrumental variables estimators that ignore these measurement errors remain consistent, and standard asymptotic inference methods remain valid. These results hold even when the link measurement errors are correlated with regressors or with structural errors in the model. Simulations and real data experiments confirm our results in finite samples. These findings imply that researchers can ignore small numbers of mismeasured links in networks.

Suggested Citation

  • Arthur Lewbel & Xi Qu & Xun Tang, 2024. "Ignoring measurement errors in social networks," The Econometrics Journal, Royal Economic Society, vol. 27(2), pages 171-187.
  • Handle: RePEc:oup:emjrnl:v:27:y:2024:i:2:p:171-187.
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    References listed on IDEAS

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    1. Bramoullé, Yann & Djebbari, Habiba & Fortin, Bernard, 2009. "Identification of peer effects through social networks," Journal of Econometrics, Elsevier, vol. 150(1), pages 41-55, May.
    2. Vincent Boucher & Yann Bramoullé & Habiba Djebbari & Bernard Fortin, 2014. "Do Peers Affect Student Achievement? Evidence From Canada Using Group Size Variation," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 29(1), pages 91-109, January.
    3. Antoni Calvó-Armengol & Eleonora Patacchini & Yves Zenou, 2009. "Peer Effects and Social Networks in Education," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(4), pages 1239-1267.
    4. Patacchini, Eleonora & Venanzoni, Giuseppe, 2014. "Peer effects in the demand for housing quality," Journal of Urban Economics, Elsevier, vol. 83(C), pages 6-17.
    5. Alan Griffith, 2022. "Name Your Friends, but Only Five? The Importance of Censoring in Peer Effects Estimates Using Social Network Data," Journal of Labor Economics, University of Chicago Press, vol. 40(4), pages 779-805.
    6. Lee, Lung-fei, 2007. "Identification and estimation of econometric models with group interactions, contextual factors and fixed effects," Journal of Econometrics, Elsevier, vol. 140(2), pages 333-374, October.
    7. Christoph Hauser & Michael Pfaffermayr & Gottfried Tappeiner & Janette Walde, 2009. "Social Capital Formation And Intra Familial Correlation: A Social Panel Perspective," The Singapore Economic Review (SER), World Scientific Publishing Co. Pte. Ltd., vol. 54(03), pages 473-488.
    8. Charles F. Manski, 1993. "Identification of Endogenous Social Effects: The Reflection Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(3), pages 531-542.
    9. Arthur Lewbel & Xi Qu & Xun Tang, 2023. "Social Networks with Unobserved Links," Journal of Political Economy, University of Chicago Press, vol. 131(4), pages 898-946.
    10. Eleonora Patacchini & Yves Zenou, 2012. "Juvenile Delinquency and Conformism," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 28(1), pages 1-31.
    11. Liu, Xiaodong & Patacchini, Eleonora & Zenou, Yves, 2014. "Endogenous peer effects: local aggregate or local average?," Journal of Economic Behavior & Organization, Elsevier, vol. 103(C), pages 39-59.
    12. Xu Lin, 2010. "Identifying Peer Effects in Student Academic Achievement by Spatial Autoregressive Models with Group Unobservables," Journal of Labor Economics, University of Chicago Press, vol. 28(4), pages 825-860, October.
    13. Lung-fei Lee & Xiaodong Liu & Xu Lin, 2010. "Specification and estimation of social interaction models with network structures," Econometrics Journal, Royal Economic Society, vol. 13(2), pages 145-176, July.
    14. Xu Lin, 2015. "Utilizing spatial autoregressive models to identify peer effects among adolescents," Empirical Economics, Springer, vol. 49(3), pages 929-960, November.
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