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Estimating random effects production function models with selectivity bias: an application to Swedish crop producers

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  • Heshmati, Almas

Abstract

In this paper, the estimation of production functions and measurement of the rate of technical change is performed when selectivity bias is expected, A sample selection model consisting of a selection and a regression equation is estimated using Heckman's two-stage method. It is discussed in the context of a production function where the underlying technology is represented by a translog functional form. For the regression, a random effects model with heteroscedastic variances is assumed. This model and an alternative conventional model retaining heteroscedasticity without considering selectivity bias are estimated using the Generalized Least Squares method. The data used are a large rotating panel data set from Swedish crop producers over the period 1976-1988. The empirical results from the comparison between these two models show that the introduction of heteroscedasticity and the integration of sample selection in the production relationship is important. The impact of a correction for selectivity bias on the results, in terms of input elasticities and returns to scale is found to be significant.

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Bibliographic Info

Article provided by Blackwell in its journal Agricultural Economics.

Volume (Year): 11 (1994)
Issue (Month): 2-3 (December)
Pages: 171-189

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Handle: RePEc:eee:agecon:v:11:y:1994:i:2-3:p:171-189

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References

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  1. Heckman, James J, 1979. "Sample Selection Bias as a Specification Error," Econometrica, Econometric Society, vol. 47(1), pages 153-61, January.
  2. Baltagi, Badi H & Raj, Baldev, 1992. "A Survey of Recent Theoretical Developments in the Econometrics of Panel Data," Empirical Economics, Springer, vol. 17(1), pages 85-109.
  3. Biorn, Erik & Jansen, Eilev S, 1983. " Individual Effects in a System of Demand Functions," Scandinavian Journal of Economics, Wiley Blackwell, vol. 85(4), pages 461-83.
  4. Olsen, Randall J, 1982. "Distributional Tests for Selectivity Bias and a More Robust Likelihood Estimator," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(1), pages 223-40, February.
  5. Little, Roderick J A, 1985. "A Note about Models for Selectivity Bias," Econometrica, Econometric Society, vol. 53(6), pages 1469-74, November.
  6. Zabel, Jeffrey E., 1992. "Estimating fixed and random effects models with selectivity," Economics Letters, Elsevier, vol. 40(3), pages 269-272, November.
  7. Nijman, Theo & Verbeek, Marno & van Soest, Arthur, 1991. "The efficiency of rotating-panel designs in an analysis-of-variance model," Journal of Econometrics, Elsevier, vol. 49(3), pages 373-399, September.
  8. Baltagi, Badi H & Griffin, James M, 1988. "A Generalized Error Component Model with Heteroscedastic Disturbances," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(4), pages 745-53, November.
  9. Verbeek, Marno, 1990. "On the estimation of a fixed effects model with selectivity bias," Economics Letters, Elsevier, vol. 34(3), pages 267-270, November.
  10. Greene, William H, 1981. "Sample Selection Bias as a Specification Error: Comment," Econometrica, Econometric Society, vol. 49(3), pages 795-98, May.
  11. Christensen, Laurits R & Jorgenson, Dale W & Lau, Lawrence J, 1973. "Transcendental Logarithmic Production Frontiers," The Review of Economics and Statistics, MIT Press, vol. 55(1), pages 28-45, February.
  12. G. S. Maddala, 1987. "Limited Dependent Variable Models Using Panel Data," Journal of Human Resources, University of Wisconsin Press, vol. 22(3), pages 307-338.
  13. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-38, May.
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Cited by:
  1. Tzouvelekas, Evaggelos, 2000. "Approximation Properties and Estimation of the Translog Production Function with Panel Data," Agricultural Economics Review, Greek Association of Agricultural Economists, vol. 1(1), January.
  2. Heshmati, Almas & Ncube, Mkhululi, 1998. "An Econometric Model of Employment in Zimbabwe's Manufacturing Industries," Working Paper Series in Economics and Finance 277, Stockholm School of Economics, revised 15 Aug 2003.
  3. Vavra, Pavel & Colman, David, 2003. "The analysis of UK crop allocation at the farm level: implications for supply response analysis," Agricultural Systems, Elsevier, vol. 76(2), pages 697-713, May.

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