IDEAS home Printed from https://ideas.repec.org/a/aea/aecrev/v103y2013i3p557-62.html
   My bibliography  Save this article

What Do Instrumental Variable Models Deliver with Discrete Dependent Variables?

Author

Listed:
  • Andrew Chesher
  • Adam M. Rosen

Abstract

We compare nonparametric instrumental variables (IV) models with linear models and 2SLS methods when dependent variables are discrete. A 2SLS method can deliver a consistent estimator of a Local Average Treatment Effect but is not informative about other treatment effect parameters. The IV models set identify a range of interesting structural and treatment effect parameters. We give set identification results for a counterfactual probability and an Average Treatment Effect in a IV binary threshold crossing model. We illustrate using data on female employment and family size (employed by Joshua Angrist and William Evans (1998)) and compare with their LATE estimates.

Suggested Citation

  • Andrew Chesher & Adam M. Rosen, 2013. "What Do Instrumental Variable Models Deliver with Discrete Dependent Variables?," American Economic Review, American Economic Association, vol. 103(3), pages 557-562, May.
  • Handle: RePEc:aea:aecrev:v:103:y:2013:i:3:p:557-62
    Note: DOI: 10.1257/aer.103.3.557
    as

    Download full text from publisher

    File URL: http://www.aeaweb.org/articles.php?doi=10.1257/aer.103.3.557
    Download Restriction: no

    File URL: http://www.aeaweb.org/aer/ds/may2013/P2013_4407_ds.zip
    Download Restriction: no

    File URL: http://www.aeaweb.org/aer/data/may2013/P2013_4407_app.pdf
    Download Restriction: Access to full text is restricted to AEA members and institutional subscribers.
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524131, December.
    2. Arthur Lewbel & Yingying Dong & Thomas Tao Yang, 2012. "Comparing features of convenient estimators for binary choice models with endogenous regressors," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 45(3), pages 809-829, August.
    3. Victor Chernozhukov & Sokbae Lee & Adam M. Rosen, 2013. "Intersection Bounds: Estimation and Inference," Econometrica, Econometric Society, vol. 81(2), pages 667-737, March.
    4. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818735, December.
    5. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524124, December.
    6. Arthur Lewbel & Yingying Dong & Thomas Tao Yang, 2012. "Viewpoint: Comparing features of convenient estimators for binary choice models with endogenous regressors," Canadian Journal of Economics, Canadian Economics Association, vol. 45(3), pages 809-829, August.
    7. Angrist, Joshua D & Evans, William N, 1998. "Children and Their Parents' Labor Supply: Evidence from Exogenous Variation in Family Size," American Economic Review, American Economic Association, vol. 88(3), pages 450-477, June.
    8. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818728, December.
    9. Azeem M. Shaikh & Edward J. Vytlacil, 2011. "Partial Identification in Triangular Systems of Equations With Binary Dependent Variables," Econometrica, Econometric Society, vol. 79(3), pages 949-955, May.
    10. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818742, December.
    11. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524117, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Antonio Acconcia & Carla Ronza, 2021. "The Stability Effect of Elected Women: Gender or Seniority?," CSEF Working Papers 611, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy, revised 15 Feb 2023.
    2. Ainhoa Aparicio-Fenoll & Veruska Oppedisano, 2016. "Should I stay or should I go? Sibling effects in household formation," Review of Economics of the Household, Springer, vol. 14(4), pages 1007-1027, December.
    3. Manuel Denzer, 2019. "Estimating Causal Effects in Binary Response Models with Binary Endogenous Explanatory Variables - A Comparison of Possible Estimators," Working Papers 1916, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    4. Pietro Tebaldi & Alexander Torgovitsky & Hanbin Yang, 2019. "Nonparametric Estimates of Demand in the California Health Insurance Exchange," NBER Working Papers 25827, National Bureau of Economic Research, Inc.
    5. Alexander Torgovitsky, 2019. "Partial identification by extending subdistributions," Quantitative Economics, Econometric Society, vol. 10(1), pages 105-144, January.
    6. Kitagawa, Toru, 2021. "The identification region of the potential outcome distributions under instrument independence," Journal of Econometrics, Elsevier, vol. 225(2), pages 231-253.
    7. Andrew Chesher & Adam M. Rosen, 2017. "Generalized Instrumental Variable Models," Econometrica, Econometric Society, vol. 85, pages 959-989, May.
    8. Li, Chuhui & Poskitt, D.S. & Zhao, Xueyan, 2019. "The bivariate probit model, maximum likelihood estimation, pseudo true parameters and partial identification," Journal of Econometrics, Elsevier, vol. 209(1), pages 94-113.
    9. Andrew Chesher & Adam Rosen, 2018. "Generalized instrumental variable models, methods, and applications," CeMMAP working papers CWP43/18, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    10. Porgo, Mohamed & Kuwornu, John K.M. & Zahonogo, Pam & Jatoe, John Baptist D. & Egyir, Irene S., 2018. "Credit constraints and cropland allocation decisions in rural Burkina Faso," Land Use Policy, Elsevier, vol. 70(C), pages 666-674.
    11. Blunch, Niels-Hugo & Datta Gupta, Nabanita, 2020. "Mothers’ health knowledge gap for children with diarrhea: A decomposition analysis across caste and religion in India," World Development, Elsevier, vol. 126(C).
    12. Stephan, Gesine & van den Berg, Gerard & Homrighausen, Pia, 2016. "Randomizing information on a targeted wage support program for older workers: A field experiment," VfS Annual Conference 2016 (Augsburg): Demographic Change 145487, Verein für Socialpolitik / German Economic Association.
    13. Öberg, Stefan, 2021. "The casual effect of fertility: The multiple problems with instrumental variables for the number of children in families," SocArXiv peuvz, Center for Open Science.

    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. Andrew Chesher & Adam Rosen, 2018. "Generalized instrumental variable models, methods, and applications," CeMMAP working papers CWP43/18, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    2. Aassve, Arnstein & Arpino, Bruno, 2008. "Estimation of causal effects of fertility on economic wellbeing: evidence from rural Vietnam," ISER Working Paper Series 2007-27, Institute for Social and Economic Research.
    3. James L. Powell, 2017. "Identification and Asymptotic Approximations: Three Examples of Progress in Econometric Theory," Journal of Economic Perspectives, American Economic Association, vol. 31(2), pages 107-124, Spring.
    4. Stefan Hoderlein & Yuya Sasaki, 2011. "On the role of time in nonseparable panel data models," CeMMAP working papers CWP15/11, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    5. Andrew Chesher & Adam M. Rosen, 2017. "Generalized Instrumental Variable Models," Econometrica, Econometric Society, vol. 85, pages 959-989, May.
    6. John Geanakoplos & Robert Axtell & J. Doyne Farmer & Peter Howitt & Benjamin Conlee & Jonathan Goldstein & Matthew Hendrey & Nathan M. Palmer & Chun-Yi Yang, 2012. "Getting at Systemic Risk via an Agent-Based Model of the Housing Market," American Economic Review, American Economic Association, vol. 102(3), pages 53-58, May.
    7. Christian Hellwig, 2004. "Heterogeneous Information and the Benefits of Public Information Disclosures (October 2005)," UCLA Economics Online Papers 283, UCLA Department of Economics.
    8. Gärtner, D.L. & Zhou, J., 2012. "Delays in Leniency Application : Is There Really a Race to the Enforcer’s Door?," Other publications TiSEM cbb8fac0-0cd7-4a0c-a6d4-a, Tilburg University, School of Economics and Management.
    9. Scott Duke Kominers & Alexander Teytelboym & Vincent P Crawford, 2017. "An invitation to market design," Oxford Review of Economic Policy, Oxford University Press, vol. 33(4), pages 541-571.
    10. Saki Bigio & Eduardo Zilberman, 2020. "Speculation-Driven Business Cycles," Working Papers Central Bank of Chile 865, Central Bank of Chile.
    11. Itay Goldstein, 2005. "Strategic Complementarities and the Twin Crises," Economic Journal, Royal Economic Society, vol. 115(503), pages 368-390, April.
    12. Stephen Morris & Hyun Song Shin, 2004. "Liquidity Black Holes," Review of Finance, Springer, vol. 8(1), pages 1-18.
    13. Ennis, Huberto M. & Keister, Todd, 2005. "Government policy and the probability of coordination failures," European Economic Review, Elsevier, vol. 49(4), pages 939-973, May.
    14. Zheng, Charles Z., 2019. "Necessary and sufficient conditions for peace: Implementability versus security," Journal of Economic Theory, Elsevier, vol. 180(C), pages 135-166.
    15. Christoph Breunig, 2019. "Goodness-of-Fit Tests based on Series Estimators in Nonparametric Instrumental Regression," Papers 1909.10133, arXiv.org.
    16. , & ,, 2013. "Selection-free predictions in global games with endogenous information and multiple equilibria," Theoretical Economics, Econometric Society, vol. 8(3), September.
    17. Abraham Aldama & Mateo Vásquez-Cortés & Lauren Elyssa Young, 2019. "Fear and citizen coordination against dictatorship," Journal of Theoretical Politics, , vol. 31(1), pages 103-125, January.
    18. Viral V. Acharya & Hanh T. Le & Hyun Song Shin, 2017. "Bank Capital and Dividend Externalities," Review of Financial Studies, Society for Financial Studies, vol. 30(3), pages 988-1018.
    19. Karanassou, Marika & Sala, Hector & Snower, Dennis J., 2005. "A reappraisal of the inflation-unemployment tradeoff," European Journal of Political Economy, Elsevier, vol. 21(1), pages 1-32, March.
    20. Karp, Larry S., 2008. "Correct (and misleading) arguments for using market based pollution control policies," CUDARE Working Papers 42868, University of California, Berkeley, Department of Agricultural and Resource Economics.

    More about this item

    JEL classification:

    • C26 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Instrumental Variables (IV) Estimation

    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:aea:aecrev:v:103:y:2013:i:3:p:557-62. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://edirc.repec.org/data/aeaaaea.html .

    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: Michael P. Albert (email available below). General contact details of provider: https://edirc.repec.org/data/aeaaaea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.