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Inferential methods for elasticity estimates

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Author Info

  • Hirschberg, J.G.
  • Lye, J.N.
  • Slottje, D.J.

Abstract

Elasticities are often estimated from the results of demand analysis. However, drawing inferences from them may involve assumptions that could influence the outcome. In this paper we investigate one of the most common forms of elasticity which is defined as a ratio of estimated relationships and demonstrate how the Fieller method for the construction of confidence intervals can be used to draw inferences. We estimate the elasticities of expenditure from Engel curves using a variety of estimation models. Parametric Engel curves are modelled using OLS, MM robust regression, and Tobit. Semiparametric Engel curves are estimated using a penalized spline regression. We demonstrate the construction of confidence intervals of the expenditure elasticities for a series of expenditure levels as well as the estimated cumulative density function for the elasticity evaluated for a particular household.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 147 (2008)
Issue (Month): 2 (December)
Pages: 299-315

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Handle: RePEc:eee:econom:v:147:y:2008:i:2:p:299-315

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Web page: http://www.elsevier.com/locate/jeconom

Related research

Keywords: Engel curves Fieller method Tobit Robust regression Semiparametric;

References

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  1. Krinsky, Itzhak & Robb, A Leslie, 1986. "On Approximating the Statistical Properties of Elasticities," The Review of Economics and Statistics, MIT Press, vol. 68(4), pages 715-19, November.
  2. Thomas F. Crossley & Paul Grootendorst & Sule Kokkmaz & Michael R. Veall, 2000. "The Effects of Drug Subsidies on Out-of-Poket Prescription Drug Expenditures by seniors: regional Evidence from Canada," CEPR Discussion Papers 422, Centre for Economic Policy Research, Research School of Economics, Australian National University.
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  4. Melenberg, B. & Soest, A.H.O. van, 1996. "Parametric and semi-parametric modelling of vacation expenditures," Open Access publications from Tilburg University urn:nbn:nl:ui:12-72214, Tilburg University.
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  7. Koenker,Roger, 2005. "Quantile Regression," Cambridge Books, Cambridge University Press, number 9780521608275.
  8. Tansel, AysIt & Bircan, Fatma, 2006. "Demand for education in Turkey: A tobit analysis of private tutoring expenditures," Economics of Education Review, Elsevier, vol. 25(3), pages 303-313, June.
  9. Sonia Bhalotra & Cliff Attfield, 1998. "Intrahousehold resource allocation in rural Pakistan: a semiparametric analysis," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 13(5), pages 463-480.
  10. Daniel Polsky & Henry A. Glick & Richard Willke & Kevin Schulman, 1997. "Confidence Intervals for Cost-Effectiveness Ratios: A Comparison of Four Methods," Health Economics, John Wiley & Sons, Ltd., vol. 6(3), pages 243-252.
  11. Davidson, R. & Mackinnon, J.G., 1997. "Bootstrap Testing in Nonlinear Models," G.R.E.Q.A.M. 97a39, Universite Aix-Marseille III.
  12. Jiazhong You, 2003. "Robust estimation of models of Engel curves," Empirical Economics, Springer, vol. 28(1), pages 61-73, January.
  13. Jean-Thomas Bernard & Nadhem Idoudi & Lynda Khalaf & Clément Yélou, 2007. "Finite sample inference methods for dynamic energy demand models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(7), pages 1211-1226.
  14. Krinsky, Itzhak & Robb, A Leslie, 1991. "Three Methods for Calculating the Statistical Properties of Elasticities: A Comparison," Empirical Economics, Springer, vol. 16(2), pages 199-209.
  15. J.G. Hirschberg & J. N. Lye, 2007. "Providing Intuition to the Fieller Method with Two Geometric Representations using STATA and Eviews," Department of Economics - Working Papers Series 992, The University of Melbourne.
  16. Richard Blundell & Alan Duncan & Krishna Pendakur, 1998. "Semiparametric estimation and consumer demand," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 13(5), pages 435-461.
  17. Cragg, John G, 1971. "Some Statistical Models for Limited Dependent Variables with Application to the Demand for Durable Goods," Econometrica, Econometric Society, vol. 39(5), pages 829-44, September.
  18. McDonald, John F & Moffitt, Robert A, 1980. "The Uses of Tobit Analysis," The Review of Economics and Statistics, MIT Press, vol. 62(2), pages 318-21, May.
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Cited by:
  1. Hirschberg, J.G. & Lye, J.N., 2010. "Two geometric representations of confidence intervals for ratios of linear combinations of regression parameters: An application to the NAIRU," Economics Letters, Elsevier, vol. 108(1), pages 73-76, July.

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