IDEAS home Printed from https://ideas.repec.org/p/wop/wiaesp/372.html
   My bibliography  Save this paper

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

Author

Listed:
  • Jean-Paul CHAVAS

    ()

  • Thomas L. COX

    ()

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
    as

    Download full text from publisher

    File URL: http://agecon.lib.umn.edu/wis/stpap372.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Chavas, Jean-Paul & Cox, Thomas L, 1990. "A Non-parametric Analysis of Productivity: The Case of U.S. and Japanese Manufacturing," American Economic Review, American Economic Association, vol. 80(3), pages 450-464, June.
    2. Afriat, Sidney N, 1972. "Efficiency Estimation of Production Function," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(3), pages 568-598, October.
    3. V. Eldon Ball, 1985. "Output, Input, and Productivity Measurement in U.S. Agriculture 1948–79," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 67(3), pages 475-486.
    4. Cox, Thomas L & Chavas, Jean-Paul, 1990. "A Nonparametric Analysis of Productivity: The Case of U.S. Agriculture," European Review of Agricultural Economics, Foundation for the European Review of Agricultural Economics, vol. 17(4), pages 449-464.
    5. Jean-Paul Chavas & Thomas L. Cox, 1988. "A Nonparametric Analysis of Agricultural Technology," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 70(2), pages 303-310.
    6. Fare, Rolf & Shawna Grosskopf & Mary Norris & Zhongyang Zhang, 1994. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries," American Economic Review, American Economic Association, vol. 84(1), pages 66-83, March.
    7. Laurits R. Christensen & Dale W. Jorgenson, 1970. "U.S. Real Product And Real Factor Input, 1929–1967," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 16(1), pages 19-50, March.
    8. Hanoch, Giora & Rothschild, Michael, 1972. "Testing the Assumptions of Production Theory: A Nonparametric Approach," Journal of Political Economy, University of Chicago Press, vol. 80(2), pages 256-275, March-Apr.
    9. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "Multilateral Comparisons of Output, Input, and Productivity Using Superlative Index Numbers," Economic Journal, Royal Economic Society, vol. 92(365), pages 73-86, March.
    10. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "The Economic Theory of Index Numbers and the Measurement of Input, Output, and Productivity," Econometrica, Econometric Society, vol. 50(6), pages 1393-1414, November.
    11. Banker, Rajiv D & Maindiratta, Ajay, 1988. "Nonparametric Analysis of Technical and Allocative Efficiencies in Production," Econometrica, Econometric Society, vol. 56(6), pages 1315-1332, November.
    12. Richard H. Moorsteen, 1961. "On Measuring Productive Potential and Relative Efficiency," The Quarterly Journal of Economics, Oxford University Press, vol. 75(3), pages 451-467.
    13. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
    14. John M. Antle, 1984. "The Structure of U.S. Agricultural Technology, 1910–78," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 66(4), pages 414-421.
    15. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    16. Varian, Hal R, 1984. "The Nonparametric Approach to Production Analysis," Econometrica, Econometric Society, vol. 52(3), pages 579-597, May.
    17. C. Richard Shumway, 1983. "Supply, Demand, and Technology in a Multiproduct Industry: Texas Field Crops," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 65(4), pages 748-760.
    18. Diewert, W E, 1980. "Capital and the Theory of Productivity Measurement," American Economic Review, American Economic Association, vol. 70(2), pages 260-267, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jean‐Paul Chavas & Thomas L. Cox, 1997. "Production Analysis: A Non‐Parametric Time Series Application To Us Agriculture," Journal of Agricultural Economics, Wiley Blackwell, vol. 48(1‐3), pages 330-348, January.
    2. W. Erwin Diewert & Kevin J. Fox, 2017. "Decomposing Value Added Growth into Explanatory Factors," Discussion Papers 2017-02, School of Economics, The University of New South Wales.
    3. Diewert, W. Erwin & Fox, Kevin J., 2017. "The Difference Approach to Productivity Measurement and Exact Indicators," Microeconomics.ca working papers erwin_diewert-2017-10, Vancouver School of Economics, revised 24 Nov 2017.
    4. C. Lovell & Shawna Grosskopf & Eduardo Ley & Jesús Pastor & Diego Prior & Philippe Eeckaut, 1994. "Linear programming approaches to the measurement and analysis of productive efficiency," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 2(2), pages 175-248, December.
    5. 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.
    6. 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.
    7. Cherchye, Laurens & De Rock, Bram & Hennebel, Veerle, 2014. "The economic meaning of Data Envelopment Analysis: A ‘behavioral’ perspective," Socio-Economic Planning Sciences, Elsevier, vol. 48(1), pages 29-37.
    8. Kuosmanen, Timo & Post, Thierry & Scholtes, Stefan, 2007. "Non-parametric tests of productive efficiency with errors-in-variables," Journal of Econometrics, Elsevier, vol. 136(1), pages 131-162, January.
    9. Voigt, Peter, 2004. "Russlands Weg vom Plan zum Markt: Sektorale Trends und regionale Spezifika. Eine Analyse der Produktivitäts- und Effizienzentwicklungen in der Transformationsphase," Studies on the Agricultural and Food Sector in Transition Economies, Leibniz Institute of Agricultural Development in Transition Economies (IAMO), volume 28, number 93021, December.
    10. Jean-Paul Chavas & Thomas L. Cox, 1999. "A Generalized Distance Function and the Analysis of Production Efficiency," Southern Economic Journal, Southern Economic Association, vol. 66(2), pages 294-318, October.
    11. Laurens CHERCHYE & Timo KUOSMANEN & Thierry POST, 2001. "Non-Parametric Production Analysis under Alternative Price Conditions," Working Papers of Department of Economics, Leuven ces0105, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    12. Valentin Zelenyuk, 2019. "Data Envelopment Analysis and Business Analytics: The Big Data Challenges and Some Solutions," CEPA Working Papers Series WP072019, School of Economics, University of Queensland, Australia.
    13. Kuosmanen, Timo & Cherchye, Laurens & Sipilainen, Timo, 2006. "The law of one price in data envelopment analysis: Restricting weight flexibility across firms," European Journal of Operational Research, Elsevier, vol. 170(3), pages 735-757, May.
    14. Fare, Rolf & Grosskopf, Shawna, 1995. "Nonparametric tests of regularity, Farrell efficiency, and goodness-of-fit," Journal of Econometrics, Elsevier, vol. 69(2), pages 415-425, October.
    15. 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.
    16. Cherchye, Laurens & Kuosmanen, Timo & Post, Thierry, 2002. "Non-parametric production analysis in non-competitive environments," International Journal of Production Economics, Elsevier, vol. 80(3), pages 279-294, December.
    17. Diewert, W. Erwin & Fox, Kevin J., 2017. "Decomposing productivity indexes into explanatory factors," European Journal of Operational Research, Elsevier, vol. 256(1), pages 275-291.
    18. Zelenyuk, Valentin, 2020. "Aggregation of inputs and outputs prior to Data Envelopment Analysis under big data," European Journal of Operational Research, Elsevier, vol. 282(1), pages 172-187.
    19. Cherchye, L. & Post, G.T., 2001. "Methodological Advances in Dea," ERIM Report Series Research in Management ERS-2001-53-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    20. Cherchye, Laurens & De Rock, Bram & Kerstens, Pieter Jan, 2018. "Production with storable and durable inputs: Nonparametric analysis of intertemporal efficiency," European Journal of Operational Research, Elsevier, vol. 270(2), pages 498-513.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wop:wiaesp:372. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Thomas Krichel). General contact details of provider: http://edirc.repec.org/data/dauwius.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.