IDEAS home Printed from https://ideas.repec.org/a/spr/sjecst/v158y2022i1d10.1186_s41937-022-00093-5.html
   My bibliography  Save this article

Partial identification of nonlinear peer effects models with missing data

Author

Listed:
  • Carlos Madeira

    (Central Bank of Chile)

Abstract

This paper examines inference on social interactions models in the presence of missing data on outcomes. In these models, missing data on outcomes imply an incomplete data problem on both the endogenous variable and the regressors. However, getting a sharp estimate of the partially identified coefficients is computationally difficult. Using a monotonicity property of the peer effects and a mean independence condition of individual decisions on the missing data, I show partial identification results for the binary choice peer effect model. A Monte Carlo exercise then summarizes the computational time and the accuracy performance of the interval estimators under some calibrations.

Suggested Citation

  • Carlos Madeira, 2022. "Partial identification of nonlinear peer effects models with missing data," Swiss Journal of Economics and Statistics, Springer;Swiss Society of Economics and Statistics, vol. 158(1), pages 1-18, December.
  • Handle: RePEc:spr:sjecst:v:158:y:2022:i:1:d:10.1186_s41937-022-00093-5
    DOI: 10.1186/s41937-022-00093-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1186/s41937-022-00093-5
    File Function: Abstract
    Download Restriction: no

    File URL: https://libkey.io/10.1186/s41937-022-00093-5?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. Andreas Ammermueller & Jörn-Steffen Pischke, 2009. "Peer Effects in European Primary Schools: Evidence from the Progress in International Reading Literacy Study," Journal of Labor Economics, University of Chicago Press, vol. 27(3), pages 315-348, July.
    2. Peter Kooreman & Adriaan R. Soetevent, 2007. "A discrete-choice model with social interactions: with an application to high school teen behavior," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(3), pages 599-624.
    3. Jerry Hausman, 2001. "Mismeasured Variables in Econometric Analysis: Problems from the Right and Problems from the Left," Journal of Economic Perspectives, American Economic Association, vol. 15(4), pages 57-67, Fall.
    4. 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.
    5. Charles F. Manski & Elie Tamer, 2002. "Inference on Regressions with Interval Data on a Regressor or Outcome," Econometrica, Econometric Society, vol. 70(2), pages 519-546, March.
    6. Rafael Lalive & M. Alejandra Cattaneo, 2009. "Social Interactions and Schooling Decisions," The Review of Economics and Statistics, MIT Press, vol. 91(3), pages 457-477, August.
    7. Piero Cipollone & Alfonso Rosolia, 2007. "Social Interactions in High School: Lessons from an Earthquake," American Economic Review, American Economic Association, vol. 97(3), pages 948-965, June.
    8. Krauth, Brian V., 2006. "Simulation-based estimation of peer effects," Journal of Econometrics, Elsevier, vol. 133(1), pages 243-271, July.
    9. Guido W. Imbens & Charles F. Manski, 2004. "Confidence Intervals for Partially Identified Parameters," Econometrica, Econometric Society, vol. 72(6), pages 1845-1857, November.
    10. Bo E. Honoré & Elie Tamer, 2006. "Bounds on Parameters in Panel Dynamic Discrete Choice Models," Econometrica, Econometric Society, vol. 74(3), pages 611-629, May.
    11. Arun Advani & Bansi Malde, 2018. "Methods to identify linear network models: a review," Swiss Journal of Economics and Statistics, Springer;Swiss Society of Economics and Statistics, vol. 154(1), pages 1-16, December.
    12. Anja Roth, 2020. "How the provision of childcare affects attitudes towards maternal employment," Swiss Journal of Economics and Statistics, Springer;Swiss Society of Economics and Statistics, vol. 156(1), pages 1-30, December.
    13. Jeffrey M Wooldridge, 2010. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232588, December.
    14. Charles F. Manski, 2000. "Economic Analysis of Social Interactions," Journal of Economic Perspectives, American Economic Association, vol. 14(3), pages 115-136, Summer.
    15. Michaela Slotwinski & Alois Stutzer & Roman Uhlig, 2019. "Are asylum seekers more likely to work with more inclusive labor market access regulations?," Swiss Journal of Economics and Statistics, Springer;Swiss Society of Economics and Statistics, vol. 155(1), pages 1-15, December.
    16. 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.
    17. Victor Chernozhukov & Han Hong & Elie Tamer, 2007. "Estimation and Confidence Regions for Parameter Sets in Econometric Models," Econometrica, Econometric Society, vol. 75(5), pages 1243-1284, September.
    18. Blume, Lawrence E. & Brock, William A. & Durlauf, Steven N. & Ioannides, Yannis M., 2010. "Identification of Social Interactions," Economics Series 260, Institute for Advanced Studies.
    19. William A. Brock & Steven N. Durlauf, 2002. "A Multinomial-Choice Model of Neighborhood Effects," American Economic Review, American Economic Association, vol. 92(2), pages 298-303, May.
    20. Bruhin, Adrian & Goette, Lorenz & Haenni, Simon & Jiang, Lingqing, 2020. "Spillovers of prosocial motivation: Evidence from an intervention study on blood donors," Journal of Health Economics, Elsevier, vol. 70(C).
    21. Horowitz, Joel L. & Manski, Charles F., 2006. "Identification and estimation of statistical functionals using incomplete data," Journal of Econometrics, Elsevier, vol. 132(2), pages 445-459, June.
    22. Hausman, J. A. & Abrevaya, Jason & Scott-Morton, F. M., 1998. "Misclassification of the dependent variable in a discrete-response setting," Journal of Econometrics, Elsevier, vol. 87(2), pages 239-269, September.
    23. Aaron Sojourner, 2013. "Identification of Peer Effects with Missing Peer Data: Evidence from Project STAR," Economic Journal, Royal Economic Society, vol. 123(569), pages 574-605, June.
    24. 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.
    25. Bruce Sacerdote, 2001. "Peer Effects with Random Assignment: Results for Dartmouth Roommates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(2), pages 681-704.
    26. Carlos Madeira, 2018. "Testing the rationality of expectations of qualitative outcomes," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(6), pages 837-852, September.
    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. Steven N. Durlauf & Yannis M. Ioannides, 2010. "Social Interactions," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 451-478, September.
    2. ÖZGÜR, Onur & BISIN, Alberto, 2011. "Dynamic Linear Economies with Social Interactions," Cahiers de recherche 04-2011, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    3. Jose-Alberto Guerra & Myra Mohnen, 2022. "Multinomial Choice with Social Interactions: Occupations in Victorian London," The Review of Economics and Statistics, MIT Press, vol. 104(4), pages 736-747, October.
    4. Bet Caeyers, 2014. "Peer effects in development programme awareness of vulnerable groups in rural Tanzania," CSAE Working Paper Series 2014-11, Centre for the Study of African Economies, University of Oxford.
    5. repec:oxf:wpaper:wps/2014-11 is not listed on IDEAS
    6. Alberto Bisin & Andrea Moro & Giorgio Topa, 2011. "The empirical content of models with multiple equilibria in economies with social interactions," Staff Reports 504, Federal Reserve Bank of New York.
    7. Gueye, Ababacar S. & Audibert, Martine & Delaunay, Valérie, 2018. "Can social groups impact schooling decisions? Evidence from castes in rural Senegal," World Development, Elsevier, vol. 110(C), pages 307-323.
    8. Xu Lin, 2015. "Utilizing spatial autoregressive models to identify peer effects among adolescents," Empirical Economics, Springer, vol. 49(3), pages 929-960, November.
    9. Vincent Boucher & Yann Bramoullé, 2020. "Binary Outcomes and Linear Interactions," AMSE Working Papers 2038, Aix-Marseille School of Economics, France.
    10. Lin, Zhongjian & Tang, Xun & Yu, Ning Neil, 2021. "Uncovering heterogeneous social effects in binary choices," Journal of Econometrics, Elsevier, vol. 222(2), pages 959-973.
    11. Semih Tumen & Tugba Zeydanli, 2015. "Is Happiness Contagious? Separating Spillover Externalities from the Group-Level Social Context," Journal of Happiness Studies, Springer, vol. 16(3), pages 719-744, June.
    12. Gibbons, Steve & Overman, Henry G. & Patacchini, Eleonora, 2015. "Spatial Methods," Handbook of Regional and Urban Economics, in: Gilles Duranton & J. V. Henderson & William C. Strange (ed.), Handbook of Regional and Urban Economics, edition 1, volume 5, chapter 0, pages 115-168, Elsevier.
    13. Chih‐Sheng Hsieh & Lung‐Fei Lee & Vincent Boucher, 2020. "Specification and estimation of network formation and network interaction models with the exponential probability distribution," Quantitative Economics, Econometric Society, vol. 11(4), pages 1349-1390, November.
    14. Guido W. Imbens & Jeffrey M. Wooldridge, 2009. "Recent Developments in the Econometrics of Program Evaluation," Journal of Economic Literature, American Economic Association, vol. 47(1), pages 5-86, March.
    15. 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.
    16. Laurent Davezies & Xavier D'Haultfoeuille & Denis Fougère, 2009. "Identification of peer effects using group size variation," Econometrics Journal, Royal Economic Society, vol. 12(3), pages 397-413, November.
    17. Chih‐Sheng Hsieh & Hans van Kippersluis, 2018. "Smoking initiation: Peers and personality," Quantitative Economics, Econometric Society, vol. 9(2), pages 825-863, July.
    18. Angrist, Joshua D., 2014. "The perils of peer effects," Labour Economics, Elsevier, vol. 30(C), pages 98-108.
    19. Gioia De Melo, 2011. "Peer effects identified through social networks. Evidence from Uruguayan schools," Department of Economics University of Siena 627, Department of Economics, University of Siena.
    20. Grodner, Andrew & Kniesner, Thomas J. & Bishop, John A., 2011. "Social Interactions in the Labor Market," Foundations and Trends(R) in Microeconomics, now publishers, vol. 6(4), pages 265-366, September.
    21. Ashutosh Tiwari & Timothy J. Richards, 2016. "Social Networks and Restaurant Ratings," Agribusiness, John Wiley & Sons, Ltd., vol. 32(2), pages 153-174, April.

    More about this item

    Keywords

    Social interactions; Binary choice; Partial identification;
    All these keywords.

    JEL classification:

    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • 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
    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification

    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:spr:sjecst:v:158:y:2022:i:1:d:10.1186_s41937-022-00093-5. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.