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Implementing Weak Instrument Robust Tests for a General Class of Instrumental Variables Models

Author

Listed:
  • Keith Finlay

    () (Department of Economics, Tulane University)

  • Leandro M. Magnusson

    () (Department of Economics, Tulane University)

Abstract

We present a minimum distance approach for conducting hypothesis testing in the presence of potentially weak instruments. Under this approach, we propose size correct tests for limited dependent variable models with endogenous explanatory variables such as endogenous Tobit and probit models. Additionally, we extend weak instrument tests for the linear IV model by allowing for variance-covariance estimation that is robust to arbitrary heteroskedasticity or intracluster dependence. We invert these tests to construct confidence intervals on the coefficient of the endogenous variable. We also provide a postestimation command for Stata called ivtest for computing the tests and estimating confidence intervals.

Suggested Citation

  • Keith Finlay & Leandro M. Magnusson, 2009. "Implementing Weak Instrument Robust Tests for a General Class of Instrumental Variables Models," Working Papers 0901, Tulane University, Department of Economics.
  • Handle: RePEc:tul:wpaper:0901
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    File URL: http://repec.tulane.edu/RePEc/pdf/tul0901.pdf
    File Function: First version, 2009
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    References listed on IDEAS

    as
    1. Andrews, Donald W.K. & Moreira, Marcelo J. & Stock, James H., 2007. "Performance of conditional Wald tests in IV regression with weak instruments," Journal of Econometrics, Elsevier, vol. 139(1), pages 116-132, July.
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    Keywords

    ivtest; ivregress; ivprobit; ivtobit; condivreg; ivreg2; weak instruments; endogenous Tobit; endogenous probit; two-stage least squares; hypothesis testing; confidence intervals;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models
    • C34 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Truncated and Censored Models; Switching Regression Models
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions

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