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Choosing an Empirical Production Function: Theory, Nonnested Hypotheses, Costs of Specifications

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  • Hall, Harry H.

Abstract

This paper considers the specification of a production function, using crop-yield response to agricultural lime as an example. The paper first reviews neoclassical production theory, observing that this theory specifies neither the form nor the arguments of a production function. Several functions that are consistent with the theory are then evaluated by goodness-of-fit tests, by nonnested-hypothesis tests, and by "costs of misspecification." Neither goodness-of-fit tests nor nonnested-hypothesis tests provide a clear choice among the candidate functions; costs of misspecification provide some choice.

Suggested Citation

  • Hall, Harry H., 1998. "Choosing an Empirical Production Function: Theory, Nonnested Hypotheses, Costs of Specifications," Agricultural Economics Research Reports 31977, University of Kentucky, Department of Agricultural Economics.
    • Handle: RePEc:ags:ukyaer:31977
    DOI: 10.22004/ag.econ.31977
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    References listed on IDEAS

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    1. Davidson, Russell & MacKinnon, James G, 1981. "Several Tests for Model Specification in the Presence of Alternative Hypotheses," Econometrica, Econometric Society, vol. 49(3), pages 781-793, May.
    2. Michael D. Frank & Bruce R. Beattie & Mary E. Embleton, 1990. "A Comparison of Alternative Crop Response Models," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 72(3), pages 597-603.
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    5. Fuller, Wayne A., 1969. "Grafted Polynomials As Approximating Functions," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 13(1), pages 1-12, June.
    6. Fuss, Melvyn & McFadden, Daniel (ed.), 1978. "Production Economics: A Dual Approach to Theory and Applications," Elsevier Monographs, Elsevier, edition 1, number 9780444850133.
    7. Griffin, Ronald C. & Montgomery, John M. & Rister, M. Edward, 1987. "Selecting Functional Form In Production Function Analysis," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 12(2), pages 1-12, December.
    8. Wayne A. Fuller, 1969. "Grafted Polynomials As Approximating Functions," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 13(1), pages 35-46, June.
    9. Fuss, Melvyn & McFadden, Daniel & Mundlak, Yair, 1978. "A Survey of Functional Forms in the Economic Analysis of Production," Histoy of Economic Thought Chapters, in: Fuss, Melvyn & McFadden, Daniel (ed.),Production Economics: A Dual Approach to Theory and Applications, volume 1, chapter 4, McMaster University Archive for the History of Economic Thought.
    10. Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275, September.
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    12. Richard K. Perrin, 1976. "The Value of Information and the Value of Theoretical Models in Crop Response Research," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 58(1), pages 54-61.
    13. Godfrey, L. G. & Pesaran, M. H., 1983. "Tests of non-nested regression models: Small sample adjustments and Monte Carlo evidence," Journal of Econometrics, Elsevier, vol. 21(1), pages 133-154, January.
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    Cited by:

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