Inferential methods for elasticity estimates
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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- Thomas F. Crossley & Paul Grootendorst & Sule Korkmaz & Michael R. Veall, 2000.
"The Effects of Drug Subsidies on Out-of Pocket Prescription Drug Expenditures by Seniors: Regional Evidence from Canada,"
Social and Economic Dimensions of an Aging Population Research Papers
19, McMaster University.
- Alan, Sule & Crossley, Thomas F. & Grootendorst, Paul & Veall, Michael R., 2002. "The effects of drug subsidies on out-of-pocket prescription drug expenditures by seniors: regional evidence from Canada," Journal of Health Economics, Elsevier, vol. 21(5), pages 805-826, September.
- Thomas F. Crossley & Paul Grootendorst & Sule Korkmaz & Michael R. Veall, 2000. "The Effects of Drug Subsidies on Out-of Pocket Prescription Drug Expenditures by Seniors: Regional Evidence from Canada," Quantitative Studies in Economics and Population Research Reports 350, McMaster University.
- 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.
- Ping Zhang & Arthur van Soest & Xiaodong Gong, 2005. "The effects of the gender of children on expenditure patterns in rural China: a semiparametric analysis," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(4), pages 509-527.
- Kling, Catherine L. & Dorfman, Jeffrey & Sexton, Richard, 1990.
"Confidence Intervals for Elasticities and Flexibilities: Re-Evaluating the Ratios of Normals Case,"
Staff General Research Papers Archive
1582, Iowa State University, Department of Economics.
- Jeffrey H. Dorfman & Catherine L. Kling & Richard J. Sexton, 1990. "Confidence Intervals for Elasticities and Flexibilities: Reevaluating the Ratios of Normals Case," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 72(4), pages 1006-1017.
- 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.
- Ruppert,David & Wand,M. P. & Carroll,R. J., 2003. "Semiparametric Regression," Cambridge Books, Cambridge University Press, number 9780521780506, September.
- 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.
- Davidson, R. & Mackinnon, J.G., 1997.
"Bootstrap Testing in Nonlinear Models,"
97a39, Universite Aix-Marseille III.
- Melenberg, Bertrand & van Soest, Arthur, 1996.
"Parametric and Semi-parametric Modelling of Vacation Expenditures,"
Journal of Applied Econometrics,
John Wiley & Sons, Ltd., vol. 11(1), pages 59-76, Jan.-Feb..
- Melenberg, B. & Van Soest, A., 1991. "Parametric and Semi-parametric Modelling of Vocation Expenditures," Papers 9144, Tilburg - Center for Economic Research.
- Melenberg, B. & van Soest, A.H.O., 1996. "Parametric and semi-parametric modelling of vacation expenditures," Other publications TiSEM 14de3e83-71c1-4e9a-aa5e-3, Tilburg University, School of Economics and Management.
- Melenberg, B. & van Soest, A.H.O., 1991. "Parametric and semi-parametric modelling of vacation expenditures," Discussion Paper 1991-44, Tilburg University, Center for Economic Research.
- Koenker,Roger, 2005.
Cambridge University Press, number 9780521845731, September.
- 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.
- Cliff Attfield & Sonia R Bhalotra, 1998. "Intrahousehold Resource Allocation in Rural Pakistan: A Semi-parametric Analysis," STICERD - Development Economics Papers - From 2008 this series has been superseded by Economic Organisation and Public Policy Discussion Papers 11, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
- Sonia Bhalotra & Cliff Attfield, 1998. "Intrahousehold resource allocation in rural Pakistan: a semi-parametric analysis," LSE Research Online Documents on Economics 6679, London School of Economics and Political Science, LSE Library.
- 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.
- 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.
- 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.
- Hongyi Li & G. S. Maddala, 1999. "Bootstrap Variance Estimation Of Nonlinear Functions Of Parameters: An Application To Long-Run Elasticities Of Energy Demand," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 728-733, November.
- 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.
- Jiazhong You, 2003. "Robust estimation of models of Engel curves," Empirical Economics, Springer, vol. 28(1), pages 61-73, January.
- 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.
- Joseph G. Hirschberg & Jenny N. Lye, 2004. "Inferences for the Extremum of Quadratic Regression Models," Department of Economics - Working Papers Series 906, The University of Melbourne.
- 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.
- Ruppert,David & Wand,M. P. & Carroll,R. J., 2003. "Semiparametric Regression," Cambridge Books, Cambridge University Press, number 9780521785167, September.
- 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.
- Barnett, William A, 1983. "New Indices of Money Supply and the Flexible Laurent Demand System," Journal of Business & Economic Statistics, American Statistical Association, vol. 1(1), pages 7-23, January.
- Deaton, Angus & Irish, Margaret, 1984. "Statistical models for zero expenditures in household budgets," Journal of Public Economics, Elsevier, vol. 23(1-2), pages 59-80.
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