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Estimating Social Network Models with Missing Links

Author

Listed:
  • Arthur Lewbel

    (Boston College)

  • Xi Qu

    (Shanghai Jiao Tong University)

  • Xun Tang

    (Rice University)

Abstract

We propose an adjusted 2SLS estimator for social network models when some existing network links are missing from the sample (due, e.g., to recall errors by survey respondents, or lapses in data input). In the feasible structural form, missing links make all covariates endogenous and add a new source of correlation between the structural errors and endogenous peer outcomes (in addition to simultaneity), thus invalidating conventional estimators used in the literature. We resolve these issues by rescaling peer outcomes with estimates of missing rates and constructing instruments that exploit properties of the noisy network measures. We apply our method to study peer effects in household decisions to participate in a microfinance program in Indian villages. We find that ignoring missing links and applying conventional instruments would result in a sizeable upward bias in peer effect estimates.

Suggested Citation

  • Arthur Lewbel & Xi Qu & Xun Tang, 2022. "Estimating Social Network Models with Missing Links," Boston College Working Papers in Economics 1056, Boston College Department of Economics.
    • Handle: RePEc:boc:bocoec:1056
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    References listed on IDEAS

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    More about this item

    Keywords

    social networks; 2SLS; missing links;
    All these keywords.

    JEL classification:

    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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