IDEAS home Printed from https://ideas.repec.org/a/tpr/restat/v92y2010i3p557-561.html
   My bibliography  Save this article

Two-Sample Instrumental Variables Estimators

Author

Listed:
  • Atsushi Inoue

    (North Carolina State University)

  • Gary Solon

    (Michigan State University)

Abstract

Following an influential article by Angrist and Krueger (1992) on two-sample instrumental variables (TSIV) estimation, numerous empirical researchers have applied a computationally convenient two-sample two-stage least squares (TS2SLS) variant of Angrist and Krueger's estimator. In the two-sample context, unlike the single-sample situation, the IV and 2SLS estimators are numerically distinct. We derive and compare the asymptotic distributions of the two estimators and find that the commonly used TS2SLS estimator is more asymptotically efficient than the TSIV estimator. We also resolve some confusion in the literature about how to estimate standard errors for the TS2SLS estimator. © 2010 The President and Fellows of Harvard College and the Massachusetts Institute of Technology.

Suggested Citation

  • Atsushi Inoue & Gary Solon, 2010. "Two-Sample Instrumental Variables Estimators," The Review of Economics and Statistics, MIT Press, vol. 92(3), pages 557-561, August.
    • Handle: RePEc:tpr:restat:v:92:y:2010:i:3:p:557-561
    as

    Download full text from publisher

    File URL: http://www.mitpressjournals.org/doi/pdf/10.1162/REST_a_00011
    File Function: link to full text
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    2. Currie, Janet & Yelowitz, Aaron, 2000. "Are public housing projects good for kids?," Journal of Public Economics, Elsevier, vol. 75(1), pages 99-124, January.
    3. Andersen, Torben G & Sorensen, Bent E, 1996. "GMM Estimation of a Stochastic Volatility Model: A Monte Carlo Study," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(3), pages 328-352, July.
    4. Borjas, George J., 2004. "Food insecurity and public assistance," Journal of Public Economics, Elsevier, vol. 88(7-8), pages 1421-1443, July.
    5. Angrist, Joshua D & Krueger, Alan B, 1995. "Split-Sample Instrumental Variables Estimates of the Return to Schooling," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(2), pages 225-235, April.
    6. Angrist, J D & Imbens, G W & Krueger, A B, 1999. "Jackknife Instrumental Variables Estimation," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(1), pages 57-67, Jan.-Feb..
    7. Joshua D. Angrist & Alan B. Krueger, 1993. "Split Sample Instrumental Variables," Working Papers 699, Princeton University, Department of Economics, Industrial Relations Section..
    8. Murphy, Kevin M & Topel, Robert H, 2002. "Estimation and Inference in Two-Step Econometric Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 88-97, January.
    9. Joshua D. Angrist & Alan B. Krueger, 1990. "The Effect of Age at School Entry on Educational Attainment: An Application of Instrumental Variables with Moments from Two Samples," Working Papers 654, Princeton University, Department of Economics, Industrial Relations Section..
    10. Bjorklund, Anders & Jantti, Markus, 1997. "Intergenerational Income Mobility in Sweden Compared to the United States," American Economic Review, American Economic Association, vol. 87(5), pages 1009-1018, December.
    11. Thomas S. Dee & William N. Evans, 2003. "Teen Drinking and Educational Attainment: Evidence from Two-Sample Instrumental Variables Estimates," Journal of Labor Economics, University of Chicago Press, vol. 21(1), pages 178-209, January.
    12. Joshua D. Angrist & Alan B. Krueger, 1990. "The Effect of Age at School Entry on Educational Attainment: An Application of Instrumental Variables with Moments from Two Samples," Working Papers 654, Princeton University, Department of Economics, Industrial Relations Section..
    13. Tauchen, George, 1986. "Statistical Properties of Generalized Method-of-Moments Estimators of Structural Parameters Obtained from Financial Market Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 4(4), pages 397-416, October.
    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. Borjas, George J., 2004. "Food insecurity and public assistance," Journal of Public Economics, Elsevier, vol. 88(7-8), pages 1421-1443, July.
    2. Angrist, J D & Imbens, G W & Krueger, A B, 1999. "Jackknife Instrumental Variables Estimation," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(1), pages 57-67, Jan.-Feb..
    3. Hirukawa, Masayuki & Prokhorov, Artem, 2018. "Consistent estimation of linear regression models using matched data," Journal of Econometrics, Elsevier, vol. 203(2), pages 344-358.
    4. Kirill Borusyak & Peter Hull & Xavier Jaravel, 2022. "Quasi-Experimental Shift-Share Research Designs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 89(1), pages 181-213.
    5. Julie L. Hotchkiss & Anil Rupasingha & Thor Watson, 2022. "In-migration and Dilution of Community Social Capital," International Regional Science Review, , vol. 45(1), pages 36-57, January.
    6. Paul A. Bekker & Jan van der Ploeg, 2000. "Instrumental Variable Estimation Based on Grouped Data," Econometric Society World Congress 2000 Contributed Papers 1862, Econometric Society.
    7. Kaushal, N., 2007. "Do food stamps cause obesity?: Evidence from immigrant experience," Journal of Health Economics, Elsevier, vol. 26(5), pages 968-991, September.
    8. Xiang, Di & Zhan, Lue & Bordignon, Massimo, 2020. "A reconsideration of the sugar sweetened beverage tax in a household production model," Food Policy, Elsevier, vol. 95(C).
    9. Massimo Bordignon & Di Xiang & Lue Zhan, 2018. "Predicting the Effects of a Sugar Sweetened Beverage Tax in a Household Production Model," DISCE - Working Papers del Dipartimento di Economia e Finanza def075, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    10. Julie L. Hotchkiss, 2019. "US Decennial Census return rates: the role of social capital," International Journal of Social Economics, Emerald Group Publishing Limited, vol. 46(5), pages 648-668, January.
    11. Wojan, Timothy R. & Crown, Daniel & Rupasingha, Anil, 2018. "Varieties of innovation and business survival: Does pursuit of incremental or far-ranging innovation make manufacturing establishments more resilient?," Research Policy, Elsevier, vol. 47(9), pages 1801-1810.
    12. Kezdi, Gabor & Hahn, Jinyong & Solon, Gary, 2002. "Jackknife minimum distance estimation," Economics Letters, Elsevier, vol. 76(1), pages 35-45, June.
    13. Alonso-Borrego, Cesar & Arellano, Manuel, 1999. "Symmetrically Normalized Instrumental-Variable Estimation Using Panel Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(1), pages 36-49, January.
    14. Kasey S. Buckles & Daniel M. Hungerman, 2013. "Season of Birth and Later Outcomes: Old Questions, New Answers," The Review of Economics and Statistics, MIT Press, vol. 95(3), pages 711-724, July.
    15. Xin Xu & Robert Kaestner, 2010. "The Business Cycle and Health Behaviors," NBER Working Papers 15737, National Bureau of Economic Research, Inc.
    16. Currie, Janet & Yelowitz, Aaron, 2000. "Are public housing projects good for kids?," Journal of Public Economics, Elsevier, vol. 75(1), pages 99-124, January.
    17. Blomquist, Soren & Dahlberg, Matz, 1999. "Small Sample Properties of LIML and Jackknife IV Estimators: Experiments with Weak Instruments," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(1), pages 69-88, Jan.-Feb..
    18. Maribel Jiménez, 2011. "Un Análisis Empírico de las No Linealidades en la Movilidad Intergeneracional del Ingreso. El caso de la Argentina," CEDLAS, Working Papers 0114, CEDLAS, Universidad Nacional de La Plata.
    19. Xu, Xin, 2013. "The business cycle and health behaviors," Social Science & Medicine, Elsevier, vol. 77(C), pages 126-136.
    20. Lemos Sara, 2005. "Political Variables as Instruments for the Minimum Wage," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 4(1), pages 1-31, December.

    More about this item

    JEL classification:

    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables

    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:tpr:restat:v:92:y:2010:i:3:p:557-561. 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: The MIT Press (email available below). General contact details of provider: https://direct.mit.edu/journals .

    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.