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Variations on Invariance or Some Unpleasant Nonparametric Arithmetic

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  • James A. Chalfant
  • Bin Zhang

Abstract

The nonparametric approach to production or demand analysis involves testing data for compatibility with restrictions from theory. This avoids reliance on particular functional forms. When the data are not consistent with utility or profit maximization, adjustments in the data using linear programming can restore consistency. Such adjustments have been interpreted as taste changes or measures of technical change and technical change bias. This paper describes nonparametric approaches and shows that the programming methods that have been used yield results that are not invariant to the scaling of prices and quantities. A solution is proposed that solves the invariance problem. Copyright 1997, Oxford University Press.

Suggested Citation

  • James A. Chalfant & Bin Zhang, 1997. "Variations on Invariance or Some Unpleasant Nonparametric Arithmetic," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(4), pages 1164-1176.
    • Handle: RePEc:oup:ajagec:v:79:y:1997:i:4:p:1164-1176
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    Citations

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    Cited by:

    1. Raper, Kellie Curry & Love, H. Alan, 1999. "MONOPSONY POWER IN MULTIPLE INPUT MARKETS: A Nonparametric Approach," Staff Paper Series 11656, Michigan State University, Department of Agricultural, Food, and Resource Economics.
    2. Dong, Fengxia & Fuller, Frank H., 2004. "Testing For Separability And Structural Change In Urban Chinese Food Demand," 2004 Annual meeting, August 1-4, Denver, CO 19923, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    3. Fengxia Dong & Frank Fuller, 2010. "Dietary Structural Change in China's Cities: Empirical Fact or Urban Legend?," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 58(1), pages 73-91, March.
    4. Kellie Curry Raper & H. Alan Love, 2007. "Market power in tobacco: Measuring multiple markets," Agribusiness, John Wiley & Sons, Ltd., vol. 23(1), pages 35-55.
    5. Natalia Aldaz & Joaquín A. Millán, 2003. "A Comparison of Agricultural Productivity in the European Union Regions," ERSA conference papers ersa03p223, European Regional Science Association.
    6. Managi, Shunsuke & Jena, Pradyot Ranjan, 2008. "Environmental productivity and Kuznets curve in India," Ecological Economics, Elsevier, vol. 65(2), pages 432-440, April.
    7. Cox, Thomas L. & Mullen, John D. & Hu, Wensheng, 1997. "Nonparametric measures of the impact of public research expenditures on Australian broadacre agriculture," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 41(3), pages 1-28.
    8. W D A Bryant, 2009. "General Equilibrium:Theory and Evidence," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6875, September.
    9. Aldaz, Natalia & Millan, Joaquin A., 2003. "Analisis Malmquist y DEA intertermporal de las agriculturas de la Union Europea," Economia Agraria y Recursos Naturales, Spanish Association of Agricultural Economists, vol. 3(06), pages 1-20.
    10. Rickertsen, Kyrre, 1998. "The demand for food and beverages in Norway," Agricultural Economics, Blackwell, vol. 18(1), pages 89-100, January.
    11. THOMAS COX & John Mullen & Wensheng Hu, 1996. "Nonparametric Measures of the Impacts of Public Research Expenditures on Australian Broadacre Agriculture: Preliminary Results," Wisconsin-Madison Agricultural and Applied Economics Staff Papers 399, Wisconsin-Madison Agricultural and Applied Economics Department.
    12. Mundlak, Yair, 1999. "Production and Supply (Revised)," Working Papers 232819, Hebrew University of Jerusalem, Center for Agricultural Economic Research.
    13. Aldaz, Natalia & Millán, Joaquín, 2002. "An Inter-Country Comparison of Agricultural Productivity with Intertemporal DEA," Efficiency Series Papers 2002/09, University of Oviedo, Department of Economics, Oviedo Efficiency Group (OEG).
    14. Jena, Pradyot Ranjan, 2009. "Estimating environmental efficiency and Kuznets curve for India," 2009 Conference, August 16-22, 2009, Beijing, China 51302, International Association of Agricultural Economists.
    15. Thomas COX & John MULLEN & Wensheng HU, 1996. "Nonparametric Measures Of The Impacts Of Public Research Expenditures On Australian Broadacre Agriculture: Preliminary Results," Staff Papers 399, University of Wisconsin Madison, AAE.
    16. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.
    17. Chalfant, James A. & Eshel, Dafna M. Disegni, 2001. "A Nonparametric Test Of Advertising'S Effectiveness," 2001 Annual meeting, August 5-8, Chicago, IL 20529, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).

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