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Estimating Autocorrelations in Fixed-Effects Models

Author

Listed:
  • Gary Solon

    (Princeton University)

Abstract
This paper discusses the estimation of serial correlation in fixed-effects models for longitudinal data. Like time series data, longitudinal data often contain serially correlated error terms, but the autocorrelation estimators commonly used for time series, which are consistent as the length of the time series goes to infinity, are not consistent for a short time series as the size of the cross-section goes to infinity. A short time series of a large cross-section, however, is the typical case in longitudinal data. This paper extends Nickell's method of correcting for the inconsistency of autocorrelation estimators by generalizing to higher than first-order autocorrelations and to error processes other than first-order autoregressions. The paper also presents statistical tables that faciliate the identification and estimation of autocorrelation processes in both Nickell's method and an alternative method due to MaCurdy.

Suggested Citation

  • Gary Solon, 1983. "Estimating Autocorrelations in Fixed-Effects Models," Working Papers 540, Princeton University, Department of Economics, Industrial Relations Section..
    • Handle: RePEc:pri:indrel:160
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    References listed on IDEAS

    as
    1. Lillard, Lee A & Willis, Robert J, 1978. "Dynamic Aspects of Earning Mobility," Econometrica, Econometric Society, vol. 46(5), pages 985-1012, September.
    2. A. Bhargava & L. Franzini & W. Narendranathan, 2006. "Serial Correlation and the Fixed Effects Model," World Scientific Book Chapters, in: Econometrics, Statistics And Computational Approaches In Food And Health Sciences, chapter 4, pages 61-77, World Scientific Publishing Co. Pte. Ltd..
    3. repec:pri:indrel:dsp014m90dv50s is not listed on IDEAS
    4. MaCurdy, Thomas E., 1982. "The use of time series processes to model the error structure of earnings in a longitudinal data analysis," Journal of Econometrics, Elsevier, vol. 18(1), pages 83-114, January.
    5. Orley Ashenfelter & Gary Solon, 1982. "Longitudinal Labor Market Data: Sources, Uses, and Limitations," Working Papers 535, Princeton University, Department of Economics, Industrial Relations Section..
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    7. Mellow, Wesley S, 1981. "Unionism and Wages: A Longitudinal Analysis," The Review of Economics and Statistics, MIT Press, vol. 63(1), pages 43-52, February.
    8. Nickell, Stephen J, 1981. "Biases in Dynamic Models with Fixed Effects," Econometrica, Econometric Society, vol. 49(6), pages 1417-1426, November.
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    11. Stephen Nickell, 1980. "Correcting the Biases in Dynamic Models with Fixed Effects," Working Papers 513, Princeton University, Department of Economics, Industrial Relations Section..
    12. Jacob Mincer, 1981. "Union Effects: Wages, Turnover, and Job Training," NBER Working Papers 0808, National Bureau of Economic Research, Inc.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

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    3. Inoue, Atsushi & Solon, Gary, 2006. "A Portmanteau Test For Serially Correlated Errors In Fixed Effects Models," Econometric Theory, Cambridge University Press, vol. 22(5), pages 835-851, October.
    4. Michael Baker & Emily Hanna & Jasmin Kantarevic, 2004. "The Married Widow: Marriage Penalties Matter!," Journal of the European Economic Association, MIT Press, vol. 2(4), pages 634-664, June.
    5. Hansen, Christian B., 2007. "Asymptotic properties of a robust variance matrix estimator for panel data when T is large," Journal of Econometrics, Elsevier, vol. 141(2), pages 597-620, December.
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    7. Anderson, Soren T., 2012. "The demand for ethanol as a gasoline substitute," Journal of Environmental Economics and Management, Elsevier, vol. 63(2), pages 151-168.
    8. Lee, Yoonseok, 2012. "Bias in dynamic panel models under time series misspecification," Journal of Econometrics, Elsevier, vol. 169(1), pages 54-60.
    9. Baker, Laurence C., 1997. "The effect of HMOs on fee-for-service health care expenditures: Evidence from Medicare," Journal of Health Economics, Elsevier, vol. 16(4), pages 453-481, August.
    10. Lee Jin Young & Solon Gary, 2011. "The Fragility of Estimated Effects of Unilateral Divorce Laws on Divorce Rates," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 11(1), pages 1-11, August.
    11. Nilsen, Øivind Anti & Vaage, Kjell & Aakvik, Arild & Jacobsen, Karl, 2008. "Estimates of Intergenerational Elasticities Based on Lifetime Earnings," IZA Discussion Papers 3709, Institute of Labor Economics (IZA).
    12. Ryo Okui, 2017. "Misspecification in Dynamic Panel Data Models and Model-Free Inferences," The Japanese Economic Review, Japanese Economic Association, vol. 68(3), pages 283-304, September.
    13. Hansen, Christian B., 2007. "Generalized least squares inference in panel and multilevel models with serial correlation and fixed effects," Journal of Econometrics, Elsevier, vol. 140(2), pages 670-694, October.
    14. Michael Baker & Kevin Milligan, 2008. "How Does Job-Protected Maternity Leave Affect Mothers' Employment?," Journal of Labor Economics, University of Chicago Press, vol. 26(4), pages 655-691, October.
    15. Marianne Bertrand & Esther Duflo & Sendhil Mullainathan, 2004. "How Much Should We Trust Differences-In-Differences Estimates?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(1), pages 249-275.
    16. Gary Solon & Mary Corcoran & Roger H. Gordon & Deborah Laren, 1987. "The Effect of Family Background on Economic Status: A Longitudinal Analysis of Sibling Correlations," NBER Working Papers 2282, National Bureau of Economic Research, Inc.
    17. Michael Baker & Kevin Milligan, 2005. "How Does Job-Protected Maternity Leave Affect Mothers' Employment and Infant Health?," NBER Working Papers 11135, National Bureau of Economic Research, Inc.

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    More about this item

    JEL classification:

    • M5 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Personnel Economics

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