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A Primal-Dual Approach To Nonparametric Productivity Analysis: The Case Of U.S. Agriculture

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  • Jean-Paul CHAVAS

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  • Thomas L. COX

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Abstract

Nonparametric methods for measuring productivity indexes based on bounds for the underlying production technology are presented. Following Banker and Maindiratta, the lower bound is obtained from a primal approach while the upper bound corresponds to a dual approach to nonparametric production analysis. These nonparametric bounds are then used to estimate input-based and output- based distance functions. These radial measures provide the basis for measuring productivity indexes. Application to times series data on U.S. agriculture indicates a large gap between the primal lower bound and the dual upper bound. This generates striking differences between the primal and dual nonparametric productivity indexes.

Suggested Citation

  • Jean-Paul CHAVAS & Thomas L. COX, 1994. "A Primal-Dual Approach To Nonparametric Productivity Analysis: The Case Of U.S. Agriculture," Staff Papers 372, University of Wisconsin Madison, AAE.
  • Handle: RePEc:wop:wiaesp:372
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    Cited by:

    1. Jean‐Christophe Bureau & Rolf Färe & Shawna Grosskopf, 1995. "A Comparison Of Three Nonparametric Measures Of Productivity Growth In European And United States Agriculture," Journal of Agricultural Economics, Wiley Blackwell, vol. 46(3), pages 309-326, September.
    2. Munisamy Gopinath & Terry Roe, 1997. "Sources of Sectoral Growth in an Economy Wide Context: The Case of U.S. Agriculture," Journal of Productivity Analysis, Springer, vol. 8(3), pages 293-310, August.
    3. Asmild, Mette & Paradi, Joseph C. & Reese, David N. & Tam, Fai, 2007. "Measuring overall efficiency and effectiveness using DEA," European Journal of Operational Research, Elsevier, vol. 178(1), pages 305-321, April.
    4. Mullen, John D. & Cox, Thomas L., 1995. "The Returns From Research In Australian Broadacre Agriculture," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 39(2), pages 1-24, August.
    5. Cox, Thomas L. & Mullen, John D. & Hu, Wensheng, 1996. "Nonparametric Measures Of The Impacts Of Public Research Expenditures On Australian Broadacre Agriculture: Preliminary Results," Staff Papers 12656, University of Wisconsin-Madison, Department of Agricultural and Applied Economics.
    6. N. Islam, 2000. "An Analysis of Productivity Growth in Western Australian Agriculture," Economics Discussion / Working Papers 00-15, The University of Western Australia, Department of Economics.
    7. Giannis Karagiannis & George Mergos, 2000. "Total Factor Productivity Growth and Technical Change in a Profit Function Framework," Journal of Productivity Analysis, Springer, vol. 14(1), pages 31-51, July.
    8. 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.
    9. Mullen, John D. & Cox, Thomas L., 1996. "Measuring Productivity Growth In Australian Broadacre Agriculture," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 40(3), pages 1-22, December.
    10. David Lambert, 1998. "Productivity Measurement from a Reference Technology: A Distance Function Approach," Journal of Productivity Analysis, Springer, vol. 10(3), pages 289-304, November.
    11. 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.
    12. S. Ghobadi & G. R. Jahanshahloo & F. Hosseinzadeh Lotfi & M. Rostamy-Malkhalifeh, 2018. "Efficiency Measure Under Inter-Temporal Dependence," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(02), pages 657-675, March.
    13. Rolf Färe & Xinju He & Sungko Li & Valentin Zelenyuk, 2019. "A Unifying Framework for Farrell Profit Efficiency Measurement," Operations Research, INFORMS, vol. 67(1), pages 183-197, January.
    14. 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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