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Testing among functional forms: an extension of the Generalized Box-Cox formulation

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  • Alfons Oude Lansink
  • Geert Thijssen

Abstract

This paper uses the Generalized Box - Cox framework and Double Length artificial Regression to test whether different specifications of the profit function are able to mimic the technology underlying panel data of Dutch arable farms for the period 1970 - 1988. To this end, a linear GBC is developed that includes the Generalized Leontief, Normalized Quadratic and Symmetric Normalized Quadratic as special cases. A Lagrange multiplier test that avoids estimation of the linear GBC is used to test (subsets of) functional forms against (simplifications of) the linear GBC. Functional form results are also evaluated in terms of regularity conditions, parameter significance and reasonability of elasticities. On this data set, the NQ outperforms the other forms on most criteria.

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  • Alfons Oude Lansink & Geert Thijssen, 1998. "Testing among functional forms: an extension of the Generalized Box-Cox formulation," Applied Economics, Taylor & Francis Journals, vol. 30(8), pages 1001-1010.
    • Handle: RePEc:taf:applec:v:30:y:1998:i:8:p:1001-1010
    DOI: 10.1080/000368498325174
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    1. Davidson, Russell & MacKinnon, James G, 1984. "Model Specification Tests Based on Artificial Linear Regressions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(2), pages 485-502, June.
    2. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    3. Higgins, James, 1986. "Input Demand and Output Supply on Irish Farms--A Micro-economic Approach," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 13(4), pages 477-493.
    4. Godfrey, Leslie G & McAleer, Michael & McKenzie, Colin R, 1988. "Variable Addition and LaGrange Multiplier Tests for Linear and Logarithmic Regression Models," The Review of Economics and Statistics, MIT Press, vol. 70(3), pages 492-503, August.
    5. Giancarlo Moschini, 1988. "A Model of Production with Supply Management for the Canadian Agricultural Sector," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 70(2), pages 318-329.
    6. Davidson, Russell & MacKinnon, James G., 1993. "Estimation and Inference in Econometrics," OUP Catalogue, Oxford University Press, number 9780195060119.
    7. Thijssen, Geert, 1992. "A Comparison of Production Technology Using Primal and Dual Approaches: The Case of Dutch Dairy Farms," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 19(1), pages 49-65.
    8. Kohli, Ulrich, 1993. "A Symmetric Normalized Quadratic GNP Function and the U.S. Demand for Imports and Supply of Exports," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(1), pages 243-255, February.
    9. Christensen, Laurits R & Jorgenson, Dale W & Lau, Lawrence J, 1973. "Transcendental Logarithmic Production Frontiers," The Review of Economics and Statistics, MIT Press, vol. 55(1), pages 28-45, February.
    10. Russell Davidson & James G. MacKinnon, 1985. "Testing Linear and Loglinear Regressions against Box-Cox Alternatives," Canadian Journal of Economics, Canadian Economics Association, vol. 18(3), pages 499-517, August.
    11. Helming, John & Oskam, Arie & Thijssen, Geert, 1993. "A Micro-economic Analysis of Dairy Farming in the Netherlands," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 20(3), pages 343-363.
    12. James A. Chalfant, 1984. "Comparison of Alternative Functional Forms with Application to Agricultural Input Data," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 66(2), pages 216-220.
    13. C. Richard Shumway, 1989. "Testing Structure and Behavior with First- and Second-order Taylor Series Expansions," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 37(1), pages 95-109, March.
    14. Thomas L. Cox & Michael K. Wohlgenant, 1986. "Prices and Quality Effects in Cross-Sectional Demand Analysis," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 68(4), pages 908-919.
    15. Lopez, Ramon E, 1985. "Structural Implications of a Class of Flexible Functional Forms for Profit Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(3), pages 593-601, October.
    16. Appelbaum, Elie, 1979. "On the Choice of Functional Forms," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(2), pages 449-458, June.
    17. Guilkey, David K & Lovell, C A Knox & Sickles, Robin C, 1983. "A Comparison of the Performance of Three Flexible Functional Forms," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(3), pages 591-616, October.
    18. Diewert, W E, 1971. "An Application of the Shephard Duality Theorem: A Generalized Leontief Production Function," Journal of Political Economy, University of Chicago Press, vol. 79(3), pages 481-507, May-June.
    19. Barry T. Coyle, 1992. "Risk Aversion and Price Risk in Duality Models of Production: A Linear Mean-Variance Approach," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 74(4), pages 849-859.
    20. Berndt, Ernst R & Khaled, Mohammed S, 1979. "Parametric Productivity Measurement and Choice among Flexible Functional Forms," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1220-1245, December.
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    Cited by:

    1. Alfons Oude Lansink, 1999. "Area Allocation Under Price Uncertainty on Dutch Arable Farms," Journal of Agricultural Economics, Wiley Blackwell, vol. 50(1), pages 93-105, January.
    2. Magnus, Jan & Peresetsky, Anatoly, 2010. "The price of Moscow apartments," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 17(1), pages 89-105.
    3. Alfons Oude Lansink & Spiro Stefanou, 2001. "Dynamic Area Allocation and Economies of Scale and Scope," Journal of Agricultural Economics, Wiley Blackwell, vol. 52(3), pages 38-52, September.
    4. Boere, Esther & Peerlings, Jack H.M. & Reinhard, Stijn & Kuhlman, Tom & Heijman, Wim J.M., 2012. "Effects of volatile output prices on agricultural land-use change," 123rd Seminar, February 23-24, 2012, Dublin, Ireland 122472, European Association of Agricultural Economists.
    5. Steffen Sebastian & R. Maurer & Martin Pitzer, 2001. "Construction of a transaction based price index for the Paris housing market," ERES eres2001_276, European Real Estate Society (ERES).
    6. Bezlepkina, Irina V. & Oude Lansink, Alfons G.J.M. & Oskam, Arie J., 2001. "Farm Firm Micro-Econometric Modelling:Empirical Evidence From Russian Dairy Farming," 2001 Annual meeting, August 5-8, Chicago, IL 20464, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    7. Leonardo Costa, 2008. "DATA CONFESSION in the PORTUGUESE EDM REGION," Working Papers de Economia (Economics Working Papers) 092008, Católica Porto Business School, Universidade Católica Portuguesa.

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