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Estimation of Models with Grouped and Ungrouped Data by Means of 2SLS

Author

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  • Phoebus J. Dhrymes

    (Columbia University)

  • Adriana Lleras-Muney

    (Princeton University)

Abstract

This paper deals with a special case of estimation with grouped data, where the dependent variable is only available for groups, whereas the endogenous regressor(s) is available at the individual level. By estimating the first stage using the available individual data, and then estimating the second stage at the aggregate level, it might be possible to gain efficiency relative to the OLS and 2SLS estimators that use only grouped data. We term this the Mixed- 2SLS estimator (M2SLS). The M2SLS estimator is consistent and asymptotically normal. We also provide a test of efficiency of M2SLS relative to OLS and 2SLS estimators.

Suggested Citation

  • Phoebus J. Dhrymes & Adriana Lleras-Muney, 2004. "Estimation of Models with Grouped and Ungrouped Data by Means of 2SLS," Working Papers 251, Princeton University, Woodrow Wilson School of Public and International Affairs, Center for Health and Wellbeing..
    • Handle: RePEc:pri:cheawb:31
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    References listed on IDEAS

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    1. Lara Shore-Sheppard, 1996. "The Precision of Instrumental Variables Estimates With Grouped Data," Working Papers 753, Princeton University, Department of Economics, Industrial Relations Section..
    2. Angrist, Joshua D, 1990. "Lifetime Earnings and the Vietnam Era Draft Lottery: Evidence from Social Security Administrative Records: Errata," American Economic Review, American Economic Association, vol. 80(5), pages 1284-1286, December.
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    6. Feige, Edgar L & Watts, Harold W, 1972. "An Investigation of the Consequences of Partial Aggregation of Micro-Economic Data," Econometrica, Econometric Society, vol. 40(2), pages 343-360, March.
    7. Dhrymes, Phoebus J, 1973. "Restricted and Unrestricted Reduced Forms: Asymptotic Distribution and Relative Efficiency," Econometrica, Econometric Society, vol. 41(1), pages 119-134, January.
    8. Blackburn, McKinley L., 1997. "Misspecified skedastic functions in grouped-data models," Economics Letters, Elsevier, vol. 55(1), pages 1-8, August.
    9. Lara D. Shore-Sheppard, 1996. "The Precision of Instrumental Variables Estimates With Grouped Data," Working Papers 753, Princeton University, Department of Economics, Industrial Relations Section..
    10. Moulton, Brent R, 1990. "An Illustration of a Pitfall in Estimating the Effects of Aggregate Variables on Micro Unit," The Review of Economics and Statistics, MIT Press, vol. 72(2), pages 334-338, May.
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    Cited by:

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    7. Massa, Massimo & Žaldokas, Alminas, 2014. "Investor base and corporate borrowing: Evidence from international bonds," Journal of International Economics, Elsevier, vol. 92(1), pages 95-110.

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    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation

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