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Two-Sample Instrumental Variables Estimators

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  • Atsushi Inoue
  • Gary Solon

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. Our comparison of the properties of the two estimators demonstrates that the commonly used TS2SLS estimator is more asymptotically efficient than the TSIV estimator and also is more robust to a practically relevant type of sample stratification.

Suggested Citation

  • Atsushi Inoue & Gary Solon, 2005. "Two-Sample Instrumental Variables Estimators," NBER Technical Working Papers 0311, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberte:0311
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    References listed on IDEAS

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    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
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    3. Borjas, George J., 2004. "Food insecurity and public assistance," Journal of Public Economics, Elsevier, vol. 88(7-8), pages 1421-1443, July.
    4. 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..
    5. Joshua D. Angrist & Alan B. Krueger, 1993. "Split Sample Instrumental Variables," Working Papers 699, Princeton University, Department of Economics, Industrial Relations Section..
    6. 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.
    7. 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," NBER Working Papers 3571, National Bureau of Economic Research, Inc.
    8. 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.
    9. 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.
    10. 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.
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    JEL classification:

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

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