Caner, Mehmet and Sandler Morrill, Melinda (2009): A New Paradigm: A Joint Test of Structural and Correlation Parameters in Instrumental Variables Regression When Perfect Exogeneity is Violated.
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Abstract
Currently, the commonly employed instrumental variables strategy relies on the knife-edge assumption of perfect exogeneity for valid inference. To make reliable inferences on the structural parameters under violations of exogeneity one must 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. We introduce a new endogeneity accounted test by combining the structural parameter inference while correcting the bias associated with non-exogeneity of the instrument. To address inference under violations of exogeneity, significant contributions have been made in the recent literature by assuming some degree of non-exogeneity. 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 test statistic is continuous and monotonic in correlation, one can conduct inference for the structural parameters by a simple grid search over correlation values. We can make accurate inferences on the structural parameters because of a feature of the grid search over correlation values. One can also build joint confidence intervals for the structural parameters and the correlation parameter by inverting the test statistic. In the inversion, the null values of these parameters are used. We also propose a new way of testing exclusion restrictions, even in the just identified case.
Item Type: | MPRA Paper |
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Original Title: | A New Paradigm: A Joint Test of Structural and Correlation Parameters in Instrumental Variables Regression When Perfect Exogeneity is Violated |
English Title: | A New Paradigm: A Joint Test of Structural and Correlation Parameters in Instrumental Variables Regression When Perfect Exogeneity is Violated |
Language: | English |
Keywords: | identification; imperfect instruments |
Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C13 - Estimation: General C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C12 - Hypothesis Testing: General C - Mathematical and Quantitative Methods > C0 - General > C01 - Econometrics |
Item ID: | 17689 |
Depositing User: | Caner Mehmet |
Date Deposited: | 07 Oct 2009 18:44 |
Last Modified: | 28 Sep 2019 16:33 |
References: | Acemoglu, Daron, Simon Johnson, and James A. Robinson (2001), ``The Colonial Origins of Comparative Development: An Empirical Investigation,'' \textit{American Economic Review}, 91, 1369-1401.\medskip Acemoglu, Daron and Simon Johnson (2006), ``Unbundling Institutions,'' \textit{Journal of Political Economy}, 113, 949-995.\medskip Angrist, Joshua D. (1990), ``Lifetime Earnings and the Vietnam Era Draft Lottery: Evidence from Social Security Administrative Records,'' \textit{American Economic Review}, 80, 313-336.\medskip Angrist, Joshua D. and Alan B. Krueger (1991), ``Does Compulsory School Attendance Affect Schooling and Earnings,'' \textit{Quarterly Journal of Economics}, 106, 979-1014.\medskip Ashley, Richard, (2009), ``Assessing the Credibility of Instrumental Variables Inference with Imperfect Instruments via Sensitivity Analysis,'' \textit{Journal of Applied Econometrics}, Feb, 2009, Vol. 24: 325-337.\medskip Berkowitz, Daniel, Mehmet Caner, and Ying Fang (2008), ``Are nearly exogenous instruments reliable?'' Economics Letters, 101, 202-23.\medskip Berkowitz, Daniel, Mehmet Caner, and Ying Fang (2009), ``The Validity of Instruments Revisited'' Working paper, Dept. of Economics, North Carolina State University.\medskip Caner, Mehmet, (2009) ''Near Exogeneity and Weak Identification in Generalized Empirical Likelihood Estimators: Many Moment Asymptotics,'' Working paper, Department of Economics, North Carolina State University.\medskip Card, David (1995), ``Using Geographic Variation in College Proximity to Estimate the Returns to Schooling,'' in \textit{Aspects of Labour Market Behaviour: Essays in Honor of John Vanderkamp}, eds. L. N. Christofides et al. Toronto: University of Toronto Press. 201-221.\medskip Conley, Tim, Carsten Hansen, Peter Rossi (2007), "Plausibly Exogenous", Unpublished manuscript. Booth School of Business, University of Chicago. Djankov, Simeon, Rafael La Porta, Florencio Lopez-de-Silanes and Andrei Shleifer (2003), ``Courts,'' \textit{Quarterly Journal of Economics}, 118, 453-517.\medskip Duflo, Esther (2001), ``Schooling and Labor Market Consequences of School Construction in Indonesia: Evidence from an Unusual Policy Experiment,'' \textit{American Economic Review}, Vol. 91(4), pages 795-813, September. \medskip Dufour, Jean-Marie (1997), "Some Impossibility Theorems in Econometrics with Applications to Structural and Dynamic Models," {\it Econometrica}, vol.65, 1365-1389.\medskip Glaeser, Edward, Rafael La Porta, Florencio Lopez-de-Silanes and Andrei Shleifer (2004), ``Do Institutions Cause Growth?'' \textit{Journal of Economic Growth}, 9, 271-303.\medskip Guggenberger, Patrik, (2009), ''On the Asymptotic Size Distortion of tests when instruments locally violate the exogeneity assumption,'' Working paper, Department of Economics, UCLA.\medskip Guiso, Luigi, Paola Sapienza and Luigi Zingales (2006), ``Does Culture Affect Economic Outcomes,'' \textit{Journal of Economic Perspectives}, vol. 20(2), pages 23-48, Spring.\medskip Hall, Robert E. and Charles I. Jones (1999), ``Why Do Some Countries Produce So Much More Output per Worker than Others?'' \textit{Quarterly Journal of Economics}, 114, 83-116.\medskip Kane, Thomas J. and Cecelia E. Rouse (1995), ``Labor-Market Returns to Two- and Four-Year Colleges,'' \textit{American Economic Review}, 85, 600-614.\medskip Kray, A. (2008) ''Instrumental Variables Regression with Honestly Uncertain Exclusion Restrictions,'' unpublished manuscript. World Bank.\medskip Mauro, Paolo (1995), ``Corruption and Growth,'' \textit{Quarterly Journal of Economics}, 110, 681-712.\medskip Meghir, Costas and Marten Palme (2005), ``Assessing the Effect of Schooling on Earnings Using a Social Experiment,'' \textit{American Economic Review}, March 2005, pp 414-424.\medskip Nevo, Aviv, and Adam Rosen, (2008), ``Identification with Imperfect Instrument,'' NBER Working Paper No. W14434, October 2008.\medskip |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/17689 |