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Identification of Peer Effects Using Group Size Variation

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Author Info
D'Haultfoeuille, Xavier
Davezies, Laurent
Fougère, Denis

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Abstract

This paper considers the semiparametric identification of endogenous and exogenous peer effects based on group size variation. We show that Lee (2006)’s linear-in-means model is generically identified, even when all members of the group are not observed. While unnecessary in general, homoskedasticity may be required in special cases to recover all parameters. Extensions to asymmetric responses to peers and binary outcomes are also considered. Once more, most parameters are semiparametrically identified under weak conditions. However, recovering all of them requires more stringent assumptions. Eventually, we bring theoretical evidence that the model is more adapted to small groups.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 5865.

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Date of creation: Oct 2006
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Handle: RePEc:cpr:ceprdp:5865

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Keywords: linear-in-means model semiparametric identification social interactions

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Find related papers by JEL classification:
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods
C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Caroline Hoxby, 2000. "Peer Effects in the Classroom: Learning from Gender and Race Variation," NBER Working Papers 7867, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  2. Charles F. Manski, 2000. "Economic Analysis of Social Interactions," Journal of Economic Perspectives, American Economic Association, vol. 14(3), pages 115-136, Summer. [Downloadable!] (restricted)
    Other versions:
  3. Graham, Bryan S. & Hahn, Jinyong, 2005. "Identification and estimation of the linear-in-means model of social interactions," Economics Letters, Elsevier, vol. 88(1), pages 1-6, July. [Downloadable!] (restricted)
  4. repec:att:wimass:192042 is not listed on IDEAS
  5. Brock, William A & Durlauf, Steven N, 2001. "Discrete Choice with Social Interactions," Review of Economic Studies, Blackwell Publishing, vol. 68(2), pages 235-60, April.
    Other versions:
  6. Manski, Charles F, 1987. "Semiparametric Analysis of Random Effects Linear Models from Binary Panel Data," Econometrica, Econometric Society, vol. 55(2), pages 357-62, March. [Downloadable!] (restricted)
  7. Arthur Lewbel, 1997. "Constructing Instruments for Regressions with Measurement Error when no Additional Data are Available, with an Application to Patents and R&D," Econometrica, Econometric Society, vol. 65(5), pages 1201-1214, September.
  8. Angrist, Joshua D. & Lang, Kevin, 2004. "Does School Integration Generate Peer Effects? Evidence from Boston’s Metco Program," IZA Discussion Papers 976, Institute for the Study of Labor (IZA). [Downloadable!]
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  9. Krauth, Brian V., 2006. "Simulation-based estimation of peer effects," Journal of Econometrics, Elsevier, vol. 127(1), pages 243-271, July. [Downloadable!] (restricted)
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  10. Manski, Charles F, 1993. "Identification of Endogenous Social Effects: The Reflection Problem," Review of Economic Studies, Blackwell Publishing, vol. 60(3), pages 531-42, July. [Downloadable!] (restricted)
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  11. Lewbel, Arthur, 2000. "Semiparametric qualitative response model estimation with unknown heteroscedasticity or instrumental variables," Journal of Econometrics, Elsevier, vol. 97(1), pages 145-177, July. [Downloadable!] (restricted)
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  12. Joshua Herries & Daniel I. Rees & Jeffrey S. Zax, 2003. "Interdependence in worker productivity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(5), pages 585-604. [Downloadable!]
  13. Esther Duflo & Emmanuel Saez, 2002. "The Role of Information and Social Interactions in Retirement Plan Decisions: Evidence from a Randomized Experiment," NBER Working Papers 8885, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  14. Susanne M. Schennach, 2004. "Estimation of Nonlinear Models with Measurement Error," Econometrica, Econometric Society, vol. 72(1), pages 33-75, 01. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Yann Bramoullé & Habiba Djebbari & Bernard Fortin, 2007. "Identification of Peer Effects through Social Networks," IZA Discussion Papers 2652, Institute for the Study of Labor (IZA). [Downloadable!]
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