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Testing Subsets of Structural Parameters in the Instrumental Variables


  • Frank Kleibergen

    (Brown University and University of Amsterdam)


We develop Lagrange multiplier and likelihood ratio statistics to test hypotheses on subsets of the structural parameters in an instrumental variables regression model. The asymptotic distributions of these statistics are robust to instrument quality. A key assumption is, however, that the instruments are valid for the remaining endogenous variables. We show that the statistics lead to 95% confidence sets for the return on education in data from Card (1995) that are considerably different from the confidence sets that result from the 2SLS Wald statistic, which is the common statistic used in the literature. © 2004 President and Fellows of Harvard College and the Massachusetts Institute of Technology.

Suggested Citation

  • Frank Kleibergen, 2004. "Testing Subsets of Structural Parameters in the Instrumental Variables," The Review of Economics and Statistics, MIT Press, vol. 86(1), pages 418-423, February.
  • Handle: RePEc:tpr:restat:v:86:y:2004:i:1:p:418-423

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    Cited by:

    1. Mikusheva, Anna, 2013. "Survey on statistical inferences in weakly-identified instrumental variable models," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 29(1), pages 117-131.
    2. Guggenberger, Patrik & Smith, Richard J., 2008. "Generalized empirical likelihood tests in time series models with potential identification failure," Journal of Econometrics, Elsevier, vol. 142(1), pages 134-161, January.
    3. Michael P. Murray, 2006. "Avoiding Invalid Instruments and Coping with Weak Instruments," Journal of Economic Perspectives, American Economic Association, vol. 20(4), pages 111-132, Fall.
    4. Flückiger, Matthias & Ludwig, Markus, 2015. "Economic shocks in the fisheries sector and maritime piracy," Journal of Development Economics, Elsevier, vol. 114(C), pages 107-125.
    5. Angelica Gonzalez, 2007. "Angelica Gonzalez," ESE Discussion Papers 168, Edinburgh School of Economics, University of Edinburgh.
    6. Martin F. Grace & David L. Sjoquist & Laura Wheeler, 2014. "The Effect of Insurance Premium Taxes on Interstate Differences in the Size of the Property-Casualty Insurance Industry," National Tax Journal, National Tax Association, vol. 67(1), pages 151-182, March.

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