The validity of instruments revisited
This paper shows how valid inferences can be made when an instrumental variable does not perfectly satisfy the orthogonality condition. When there is a mild violation of the orthogonality condition, the Anderson and Rubin (1949) test is oversized. In order to correct this problem, the fractionally resampled Anderson–Rubin test is derived by modifying Wu’s (1990) resampling technique. We select half of the sample when resampling and obtain valid but conservative critical values. Simulations show that our technique performs well even with moderate to large violation of exogeneity when there is a finite sample correction for the block size choice.
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- Frank Kleibergen, 2002. "Pivotal Statistics for Testing Structural Parameters in Instrumental Variables Regression," Econometrica, Econometric Society, vol. 70(5), pages 1781-1803, September.
- Mehmet Caner & Dan Berkowitz & Ying Fang, 2006.
"Are Nearly Exogenous Instruments Reliable?,"
207, University of Pittsburgh, Department of Economics, revised Jan 2006.
- Daniel Berkowitz & Mehmet Caner & Ying Fang, 2006. "Are "Nearly Exogenous" Instruments Reliable?," Working Papers 219, University of Pittsburgh, Department of Economics, revised Jan 2006.
- Daniel Berkowitz & Mehmet Caner & Ying Fang, 2013. "Are "Nearly Exogenous" Instruments Reliable?," Papers 2013-10-14, Working Paper.
- Guggenberger, Patrik & Smith, Richard J., 2005.
"Generalized Empirical Likelihood Estimators And Tests Under Partial, Weak, And Strong Identification,"
Cambridge University Press, vol. 21(04), pages 667-709, August.
- Patrik Buggenberger & Richard Smith, 2003. "Generalized empirical likelihood estimators and tests under partial, weak and strong identification," CeMMAP working papers CWP08/03, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- Donald W.K. Andrews & Patrik Guggenberger, 2007.
"Validity of Subsampling and "Plug-in Asymptotic" Inference for Parameters Defined by Moment Inequalities,"
Cowles Foundation Discussion Papers
1620, Cowles Foundation for Research in Economics, Yale University.
- Andrews, Donald W.K. & Guggenberger, Patrik, 2009. "Validity Of Subsampling And “Plug-In Asymptotic” Inference For Parameters Defined By Moment Inequalities," Econometric Theory, Cambridge University Press, vol. 25(03), pages 669-709, June.
- Hall, Alastair R. & Inoue, Atsushi, 2003.
"The large sample behaviour of the generalized method of moments estimator in misspecified models,"
Journal of Econometrics,
Elsevier, vol. 114(2), pages 361-394, June.
- Alastair R. Hall & Atsushi Inoue, 2005. "The Large Sample Behaviour of the Generalized Method of Moments Estimator in Misspecified Models," Econometrics 0505002, EconWPA.
- Daron Acemoglu & Simon Johnson & James Robinson & Pierre Yared, 2005.
"Income and Democracy,"
NBER Working Papers
11205, National Bureau of Economic Research, Inc.
- James H. Stock & Jonathan Wright, 2000. "GMM with Weak Identification," Econometrica, Econometric Society, vol. 68(5), pages 1055-1096, September.
- Andrews, Donald W.K. & Guggenberger, Patrik, 2010. "ASYMPTOTIC SIZE AND A PROBLEM WITH SUBSAMPLING AND WITH THE m OUT OF n BOOTSTRAP," Econometric Theory, Cambridge University Press, vol. 26(02), pages 426-468, April.
- K. Newey, Whitney, 1985. "Generalized method of moments specification testing," Journal of Econometrics, Elsevier, vol. 29(3), pages 229-256, September.
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