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Inference with Weak Instruments

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Author Info
Donald W.K. Andrews () (Cowles Foundation, Yale University)
James H. Stock (Dept. of Economics, Harvard University)

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Abstract

This paper reviews recent developments in methods for dealing with weak instruments (IVs) in IV regression models. The focus is more on tests (and confidence intervals derived from tests) than estimators. The paper also presents new testing results under "many weak IV asymptotics," which are relevant when the number of IVs is large and the coefficients on the IVs are relatively small. Asymptotic power envelopes for invariant tests are established. Power comparisons of the conditional likelihood ratio (CLR), Anderson-Rubin, and Lagrange multiplier tests are made. Numerical results show that the CLR test is on the asymptotic power envelope. This holds no matter what the relative magnitude of the IV strength to the number of IVs.

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File URL: http://cowles.econ.yale.edu/P/cd/d15a/d1530.pdf
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Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 1530.

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Length: 68 pages
Date of creation: Aug 2005
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Publication status: Published in R. Blundell, W.K. Newey, and T. Persson, eds., Advances in Economics and Econometrics, Theory and Applications: Ninth World Congress of the Econometric Society, Vol. III, Cambridge University Press, 2007, Ch. 6
Handle: RePEc:cwl:cwldpp:1530

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Related research
Keywords: Conditional likelihood ratio test; instrumental variables; many instrumental variables; power envelope; weak instruments;

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Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General

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References listed on IDEAS
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Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Korpi, Tomas & Tåhlin, Michael, 2007. "Educational mismatch, wages, and wage growth: Overeducation in Sweden, 1974-2000," Working Paper Series 10/2007, Swedish Institute for Social Research. [Downloadable!]
  2. Johannes Rincke & Christian Traxler, 2009. "Deterrence Through Word of Mouth," Working Paper Series of the Max Planck Institute for Research on Collective Goods 2009_04, Max Planck Institute for Research on Collective Goods. [Downloadable!]
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  3. Richard Smith, 2005. "Weak instruments and empirical likelihood: a discussion of the papers by DWK Andrews and JH Stock and Y Kitamura," CeMMAP working papers CWP13/05, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
  4. Naoto Kunitomo & T. W. Anderson, 2007. "On Likelihood Ratio Tests of Structural Coefficients: Anderson-Rubin (1949) revisited," CIRJE F-Series CIRJE-F-499, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  5. Peter C. B. Phillips, 2005. "A Remark on Bimodality and Weak Instrumentation in Structural Equation Estimation," Cowles Foundation Discussion Papers 1540, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  6. Jung Hur & Yohanes E. Riyanto, 2007. "Organizational Structure and Product Market Competition," Departmental Working Papers wp0705, National University of Singapore, Department of Economics. [Downloadable!]
  7. Massacci, D., 2007. "Identification and Estimation in an Incoherent Model of Contagion," Cambridge Working Papers in Economics 0744, Faculty of Economics, University of Cambridge. [Downloadable!]
  8. Kazuhiko Hayakawa, 2006. "Efficient GMM Estimation of Dynamic Panel Data Models Where Large Heterogeneity May Be Present," Hi-Stat Discussion Paper Series d05-130, Institute of Economic Research, Hitotsubashi University. [Downloadable!]
  9. Gregor W. Smith & James Yetman, 2007. "The Curse of Irving Fisher (Professional Forecasters' Version)," Working Papers 1144, Queen's University, Department of Economics. [Downloadable!]
  10. Kleck, Gary & Kovandzic, Tomislav & Schaffer, Mark E, 2005. "Gun Prevalence, Homicide Rates and Causality: A GMM Approach to Endogeneity Bias," CEPR Discussion Papers 5357, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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