Identification of peer effects using group size variation
This paper studies the econometric properties of a linear-in-means model of social interactions. Under a slightly more restrictive framework than Lee (2007), we show that this model is generally identified when at least three different sizes of peer groups are observed in the sample at hand. While unnecessary in general, homoscedasticity may be required in special cases, for instance when endogenous and exogenous peer effects cancel each other. We extend this analysis to the case where only binary outcomes are observed. Once more, most parameters are semiparametrically identified under weak conditions. However, identifying all of them requires more stringent assumptions, including a homoscedasticity condition. We also develop a parametric estimator for the binary case, which relies on the Geweke-Hajivassiliou-Keane (GHK) simulator. Monte Carlo simulations illustrate the influence of group sizes on the accuracy of the estimation, in line with the results obtained by Lee (2007). Copyright The Author(s). Journal compilation Royal Economic Society 2009
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Volume (Year): 12 (2009)
Issue (Month): 3 (November)
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- 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.
- Elie Tamer, 2003. "Incomplete Simultaneous Discrete Response Model with Multiple Equilibria," Review of Economic Studies, Oxford University Press, vol. 70(1), pages 147-165.
- Brian Krauth, 2004.
"Simulation-based estimation of peer effects,"
- Joshua D. Angrist & Kevin Lang, 2004.
"Does School Integration Generate Peer Effects? Evidence from Boston's Metco Program,"
American Economic Review,
American Economic Association, vol. 94(5), pages 1613-1634, December.
- Angrist, Joshua & 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).
- Geweke, John, 1989. "Bayesian Inference in Econometric Models Using Monte Carlo Integration," Econometrica, Econometric Society, vol. 57(6), pages 1317-39, November.
- 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.
- Bryan S. Graham, 2008. "Identifying Social Interactions Through Conditional Variance Restrictions," Econometrica, Econometric Society, vol. 76(3), pages 643-660, 05.
- Charles F. Manski, 1993. "Identification of Endogenous Social Effects: The Reflection Problem," Review of Economic Studies, Oxford University Press, vol. 60(3), pages 531-542.
- Charles F. Manski, 2000.
"Economic Analysis of Social Interactions,"
NBER Working Papers
7580, National Bureau of Economic Research, Inc.
- Arthur Lewbel, 1999.
"Semiparametric Qualitative Response Model Estimation with Unknown Heteroskedasticity or Instrumental Variables,"
Boston College Working Papers in Economics
454, Boston College Department of Economics.
- 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.
- William A. Brock & Steven N. Durlauf, 2001. "Discrete Choice with Social Interactions," Review of Economic Studies, Oxford University Press, vol. 68(2), pages 235-260.
- Patrick J. Bayer & Christopher D. Timmins, 2004.
"Estimating Equilibrium Models of Sorting Across Locations,"
Yale School of Management Working Papers
ysm415, Yale School of Management.
- Patrick Bayer & Christopher Timmins, 2007. "Estimating Equilibrium Models Of Sorting Across Locations," Economic Journal, Royal Economic Society, vol. 117(518), pages 353-374, 03.
- Patrick Bayer & Christopher Timmins, 2003. "Estimating Equilibrium Models of Sorting across Locations," Working Papers 862, Economic Growth Center, Yale University.
- Caroline Hoxby, 2000. "Peer Effects in the Classroom: Learning from Gender and Race Variation," NBER Working Papers 7867, National Bureau of Economic Research, Inc.
- Brock,W.A. & Durlauf,S.N., 2004.
"Identification of binary choice models with social interactions,"
2, Wisconsin Madison - Social Systems.
- Brock, William A. & Durlauf, Steven N., 2007. "Identification of binary choice models with social interactions," Journal of Econometrics, Elsevier, vol. 140(1), pages 52-75, September.
- de Martí, Joan & Zenou, Yves, 2009.
IZA Discussion Papers
4621, Institute for the Study of Labor (IZA).
- Susanne M. Schennach, 2004. "Estimation of Nonlinear Models with Measurement Error," Econometrica, Econometric Society, vol. 72(1), pages 33-75, 01.
- Edward P. Lazear, 2001. "Educational Production," The Quarterly Journal of Economics, Oxford University Press, vol. 116(3), pages 777-803.
- 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.
- 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.
- Yann Bramoullé & Habiba Djebbari & Bernard Fortin, 2007. "Identification of Peer Effects through Social Networks," Cahiers de recherche 0705, CIRPEE.
- Bramoullé, Yann & Djebbari, Habiba & Fortin, Bernard, 2007. "Identification of Peer Effects through Social Networks," IZA Discussion Papers 2652, Institute for the Study of Labor (IZA).
- 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.
- Case, Anne, 1992. "Neighborhood influence and technological change," Regional Science and Urban Economics, Elsevier, vol. 22(3), pages 491-508, September.
- Keane, Michael P, 1994. "A Computationally Practical Simulation Estimator for Panel Data," Econometrica, Econometric Society, vol. 62(1), pages 95-116, January.
- 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.
- Pinkse, Joris & Slade, Margaret E., 1998. "Contracting in space: An application of spatial statistics to discrete-choice models," Journal of Econometrics, Elsevier, vol. 85(1), pages 125-154, July.
- Klier, Thomas & McMillen, Daniel P, 2008. "Clustering of Auto Supplier Plants in the United States," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 460-471.
- Esther Duflo & Emmanuel Saez, 2003. "The Role of Information and Social Interactions in Retirement Plan Decisions: Evidence from a Randomized Experiment," The Quarterly Journal of Economics, Oxford University Press, vol. 118(3), pages 815-842.
- 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.
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