Testing the fixed effects restrictions? A Monte Carlo study of Chamberlain’s Minimum Chi-Squared test
Chamberlain [Chamberlain, G., 1982. Multivariate regression models for panel data. Journal of Econometrics 18, 5-46] showed that the fixed effects (FE) specification imposes testable restrictions on the coefficients from regressions of all leads and lags of dependent variables on all leads and lags of independent variables. Angrist and Newey [Angrist, J.D., Newey, W.K., 1991. Over-identification tests in earnings functions with fixed effects, Journal of Business & Economic Statistics 9, 317-323] suggested computing this test statistic as the degrees of freedom times the R2 from a regression of within residuals on all leads and lags of the exogenous variables. Despite the simplicity of these tests, they are not commonly used in practice. Instead, a Hausman [Hausman, J.A., 1978. Specification tests in econometrics, Econometrica 46, 1251-1271] test is used based on a contrast of the fixed and random effects specifications. We advocate the use of Chamberlain test if the researcher wants to settle on the FE specification and we check this test's performance using Monte Carlo experiments and we apply it to the crime example of Cornwell and Trumbull [Cornwell, C., Trumbull, W.N., 1994. Estimating and economic model of crime with panel data. Review of Economics and Statistics 76, 360-366].
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- Hausman, Jerry A & Taylor, William E, 1981.
"Panel Data and Unobservable Individual Effects,"
Econometric Society, vol. 49(6), pages 1377-1398, November.
- Hausman, Jerry A. & Taylor, William E., 1981. "Panel data and unobservable individual effects," Journal of Econometrics, Elsevier, vol. 16(1), pages 155-155, May.
- J. A. Hausman & W. E. Taylor, 1980. "Panel Data and Unobservable Individual Effects," Working papers 255, Massachusetts Institute of Technology (MIT), Department of Economics.
- Hausman, Jerry, 2015. "Specification tests in econometrics," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 38(2), pages 112-134.
- Hausman, Jerry A, 1978. "Specification Tests in Econometrics," Econometrica, Econometric Society, vol. 46(6), pages 1251-1271, November.
- J. A. Hausman, 1976. "Specification Tests in Econometrics," Working papers 185, Massachusetts Institute of Technology (MIT), Department of Economics.
- Owusu-Gyapong, Anthony, 1986. "Alternative Estimating Techniques for Panel Data on Strike Activity," The Review of Economics and Statistics, MIT Press, vol. 68(3), pages 526-531, August.
- Chamberlain, Gary, 1982. "Multivariate regression models for panel data," Journal of Econometrics, Elsevier, vol. 18(1), pages 5-46, January.
- Cardellichio, Peter A, 1990. "Estimation of Production Behavior Using Pooled Microdata," The Review of Economics and Statistics, MIT Press, vol. 72(1), pages 11-18, February.
- Angrist, Joshua D & Newey, Whitney K, 1991. "Over-Identification Tests in Earnings Functions with Fixed Effects," Journal of Business & Economic Statistics, American Statistical Association, vol. 9(3), pages 317-323, July.
- Bowsher, Clive G., 2002. "On testing overidentifying restrictions in dynamic panel data models," Economics Letters, Elsevier, vol. 77(2), pages 211-220, October.
- Cornwell, Christopher & Trumbull, William N, 1994. "Estimating the Economic Model of Crime with Panel Data," The Review of Economics and Statistics, MIT Press, vol. 76(2), pages 360-366, May. Full references (including those not matched with items on IDEAS)
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