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Instrumental Variables Quantile Regression for Panel Data with Measurement Errors

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Author Info
Antonio F. Galvao, Jr. () (galvao@illinois.edu)
Gabriel V. Montes-Rojas () (Department of Economics, City University, London)
Abstract

This paper develops an instrumental variables estimator for quantile regression in panel data with fixed effects. Asymptotic properties of the instrumental variables estimator are studied for large N and T when Na/T->0, for some a > 0. Wald and Kolmogorov-Smirnov type tests for general linear restrictions are developed. The estimator is applied to the problem of measurement errors in variables, which induces endogeneity and as a result bias in the model. We derive an approximation to the bias in the quantile regression fixed effects estimator in the presence of measurement error and show its connection to similar effects in standard least squares models. Monte Carlo simulations are conducted to evaluate the finite sample properties of the estimator in terms of bias and root mean squared error. Finally, the methods are applied to a model of firm investment. The results show interesting heterogeneity in the Tobin’s q and cash flow sensitivities of investment. In both cases, the sensitivities are monotonically increasing along the quantiles.

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Publisher Info
Paper provided by Department of Economics, City University, London in its series City University Economics Discussion Papers with number 09/06.

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Length: 47 pages
Date of creation: Mar 2009
Date of revision:
Handle: RePEc:cty:dpaper:0906

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Related research
Keywords: Quantile Regression; Panel Data; Measurement Errors; Instrumental Variables;

Find related papers by JEL classification:
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods
C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data

This paper has been announced in the following NEP Reports:

References listed on IDEAS
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  1. Manuel Arellano & Jinyong Hahn, 2005. "Understanding Bias In Nonlinear Panel Models: Some Recent Developments," Working Papers wp2005_0507, CEMFI. [Downloadable!]
  2. Javier Alvarez & Manuel Arellano, 2003. "The Time Series and Cross-Section Asymptotics of Dynamic Panel Data Estimators," Econometrica, Econometric Society, vol. 71(4), pages 1121-1159, 07. [Downloadable!] (restricted)
    Other versions:
  3. Chamberlain, Gary, 1982. "Multivariate regression models for panel data," Journal of Econometrics, Elsevier, vol. 18(1), pages 5-46, January. [Downloadable!] (restricted)
  4. Koenker, Roger & Bassett, Gilbert, Jr, 1982. "Robust Tests for Heteroscedasticity Based on Regression Quantiles," Econometrica, Econometric Society, vol. 50(1), pages 43-61, January. [Downloadable!] (restricted)
  5. Jinyong Hahn & Whitney Newey, 2004. "Jackknife and Analytical Bias Reduction for Nonlinear Panel Models," Econometrica, Econometric Society, vol. 72(4), pages 1295-1319, 07. [Downloadable!] (restricted)
    Other versions:
  6. Andrew Chesher, 2001. "Parameter approximations for quantile regressions with measurement error," CeMMAP working papers CWP02/01, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
  7. Chirinko, Robert S., 1993. "Multiple capital inputs, Q, and investment spending," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 907-928. [Downloadable!] (restricted)
  8. Timothy Erickson & Toni M. Whited, 2000. "Measurement Error and the Relationship between Investment and q," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 1027-1057, October. [Downloadable!] (restricted)
  9. Victor Chernozhukov & Christian Hansen, 2005. "An IV Model of Quantile Treatment Effects," Econometrica, Econometric Society, vol. 73(1), pages 245-261, 01. [Downloadable!] (restricted)
  10. Guido Lorenzoni & Karl Walentin, 2007. "Financial Frictions, Investment and Tobin's q," NBER Working Papers 13092, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  11. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January. [Downloadable!] (restricted)
  12. Aydogan Alti, 2003. "How Sensitive Is Investment to Cash Flow When Financing Is Frictionless?," Journal of Finance, American Finance Association, vol. 58(2), pages 707-722, 04. [Downloadable!] (restricted)
  13. Blundell, Richard & Bond, Stephen & Devereux, Michael & Schiantarelli, Fabio, 1992. "Investment and Tobin's Q: Evidence from company panel data," Journal of Econometrics, Elsevier, vol. 51(1-2), pages 233-257. [Downloadable!] (restricted)
  14. Griliches, Zvi & Hausman, Jerry A., 1986. "Errors in variables in panel data," Journal of Econometrics, Elsevier, vol. 31(1), pages 93-118, February. [Downloadable!] (restricted)
    Other versions:
  15. Bertrand, Marianne & Schoar, Antoinette, 2003. "Managing With Style: The Effect of Managers on Firm Policies," Working papers 4280-02, Massachusetts Institute of Technology (MIT), Sloan School of Management. [Downloadable!]
    Other versions:
  16. Abrevaya, Jason & Dahl, Christian M, 2008. "The Effects of Birth Inputs on Birthweight," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 379-397. [Downloadable!] (restricted)
  17. Chernozhukov, Victor & Hansen, Christian, 2008. "Instrumental variable quantile regression: A robust inference approach," Journal of Econometrics, Elsevier, vol. 142(1), pages 379-398, January. [Downloadable!] (restricted)
  18. Wansbeek, Tom, 2001. "GMM estimation in panel data models with measurement error," Journal of Econometrics, Elsevier, vol. 104(2), pages 259-268, September. [Downloadable!] (restricted)
  19. He, Xuming & Shao, Qi-Man, 2000. "On Parameters of Increasing Dimensions," Journal of Multivariate Analysis, Elsevier, vol. 73(1), pages 120-135, April. [Downloadable!] (restricted)
  20. Andrews, Donald W K, 1993. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Econometrica, Econometric Society, vol. 61(4), pages 821-56, July. [Downloadable!] (restricted)
    Other versions:
  21. Susanne M. Schennach, 2004. "Estimation of Nonlinear Models with Measurement Error," Econometrica, Econometric Society, vol. 72(1), pages 33-75, 01. [Downloadable!] (restricted)
  22. Powell, James L., 1986. "Censored regression quantiles," Journal of Econometrics, Elsevier, vol. 32(1), pages 143-155, June. [Downloadable!] (restricted)
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