A New Paradigm: A Joint Test of Structural and Correlation Parameters in Instrumental Variables Regression When Perfect Exogeneity is Violated
AbstractThe instrumental variables strategy is commonly employed in empirical research. For correct inference using this econometric technique, the instruments must be perfectly exogenous and relevant. In fact, the standard t-ratio test statistic used in this context yields unreliable and often inaccurate results even when there is only a slight violation of the exclusion restriction. It is crucial to realize that to make reliable inferences on the structural parameters we need to know the true correlation between the structural error and the instruments. The main innovation in this paper is to identify an appropriate test in this context: a joint null hypothesis of the structural parameters with the correlation between the instruments and the structural error term. Since correlation cannot be estimated, we propose a test statistic involving a grid search over correlation values. To address inference under violations of exogeneity, significant contributions have been made in the recent literature by assuming some degree of non-exogeneity. We introduce a new approach by deriving a modified t-statistic that corrects for the bias associated with non-exogeneity of the instrument. A key advantage of our approach over that of the previous literature is that we do not need to make any assumptions about the degree of violation of exogeneity either as possible values or prior distributions. In particular, our method is not a form of sensitivity analysis. Since our modified test statistic is continuous and monotonic in correlation it is easy to conduct inference by a simple grid search. Even though the joint null may seem to be limiting in interpreting rejection, we can still make accurate inferences on the structural parameters because of a feature of the grid search over correlation values. The procedure for calculating the modified coefficients and statistics is illustrated with two empirical examples.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 16790.
Date of creation: 14 Aug 2009
Date of revision:
Violation of exogeneity; Instrumental variables regression: Joint test;
Other versions of this item:
- Caner, Mehmet & Sandler Morrill, Melinda, 2009. "A New Paradigm: A Joint Test of Structural and Correlation Parameters in Instrumental Variables Regression When Perfect Exogeneity is Violated," MPRA Paper 17689, University Library of Munich, Germany.
- C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-08-22 (All new papers)
- NEP-ECM-2009-08-22 (Econometrics)
- NEP-MIC-2009-08-22 (Microeconomics)
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.:
- Mehmet Caner, 2005.
"Near Exogeneity and Weak Identification in Generalized Empirical Likelihood Estimators: Fixed and Many Moment Asymptotics,"
- Mehmet Caner, 2006. "Near Exogeneity and Weak Identification in Generlized Empirical Likelihood estimators : Fixed and Many Moment Asymptotics," Working Papers 212, University of Pittsburgh, Department of Economics, revised Jan 2006.
- Richard A. Ashley., 2006. "Assessing the Credibility of Instrumental Variables Inference With Imperfect Instruments Via Sensitivity Analysis," Working Papers e06-9, Virginia Polytechnic Institute and State University, Department of Economics.
- repec:wyi:wpaper:001990 is not listed on IDEAS
- Berkowitz, Daniel & Caner, Mehmet & Fang, Ying, 2012.
"The validity of instruments revisited,"
Journal of Econometrics,
Elsevier, vol. 166(2), pages 255-266.
- Aviv Nevo & Adam Rosen, 2008.
"Identification with imperfect instruments,"
CeMMAP working papers
CWP16/08, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- Costas Meghir & Marten Palme, 2000.
"Assessing the Effect of Schooling on Earnings Using a Social Experiment,"
Econometric Society World Congress 2000 Contributed Papers
0670, Econometric Society.
- Costas Meghir & Mårten Palme, 1999. "Assessing the effect of schooling on earnings using a social experiment," IFS Working Papers W99/10, Institute for Fiscal Studies.
- Meghir, Costas & Palme, Mårten, 1999. "Assessing the Effect of Schooling on Earnings Using a Social Experiment," Working Paper Series in Economics and Finance 313, Stockholm School of Economics.
- Richard Ashley, 2009. "Assessing the credibility of instrumental variables inference with imperfect instruments via sensitivity analysis," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(2), pages 325-337, 03.
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