IDEAS home Printed from https://ideas.repec.org/p/uwa/wpaper/98-10.html
   My bibliography  Save this paper

The Matrix Approach to Evaluating Demand Equations

Author

Listed:
  • K.W. Clements
  • W. Yang
  • D. Chen

Abstract

As there is a plethora of demand models, which one should be used to estimate income and price elasticities? The paper sheds light on this important practical problem by developing a matrix approach to simulating (MAS) demand equations to analyse their performance under idealized circumstances. Artificial data on the dependent variable are generated by one model, and these are then used for the estimation of another model. As an illustrative application, using four popular models, a 4 × 4 matrix is generated which gives all pair-wise comparisons. The performance of the models is then evaluated on the basis of the quality of the income and own-price elasticity estimates.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • K.W. Clements & W. Yang & D. Chen, 1998. "The Matrix Approach to Evaluating Demand Equations," Economics Discussion / Working Papers 98-10, The University of Western Australia, Department of Economics.
  • Handle: RePEc:uwa:wpaper:98-10
    as

    Download full text from publisher

    File URL: https://ecompapers.biz.uwa.edu.au/paper/PDF%20of%20Discussion%20Papers/1998/98-10.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Decoster, Andre & Schokkaert, Erik, 1990. "Tax reform results with different demand systems," Journal of Public Economics, Elsevier, vol. 41(3), pages 277-296, April.
    2. Ahmad, Ehtisham & Stern, Nicholas, 1984. "The theory of reform and indian indirect taxes," Journal of Public Economics, Elsevier, vol. 25(3), pages 259-298, December.
    3. Selvanathan, Saroja, 1987. "A Monte Carlo test of preference independence," Economics Letters, Elsevier, vol. 25(3), pages 259-261.
    4. Neves, Pedro Duarte, 1994. "A class of differential demand systems," Economics Letters, Elsevier, vol. 44(1-2), pages 83-86.
    5. Christensen, Laurits R & Jorgenson, Dale W & Lau, Lawrence J, 1975. "Transcendental Logarithmic Utility Functions," American Economic Review, American Economic Association, vol. 65(3), pages 367-383, June.
    6. Selvanathan, E. Antony, 1985. "An even simpler differential demand system," Economics Letters, Elsevier, vol. 19(4), pages 343-347.
    7. Clements, Kenneth W & Selvanathan, Saroja, 1994. "Understanding Consumption Patterns," Empirical Economics, Springer, vol. 19(1), pages 69-110.
    8. Howe, Howard & Pollak, Robert A & Wales, Terence J, 1979. "Theory and Time Series Estimation of the Quadratic Expenditure System," Econometrica, Econometric Society, vol. 47(5), pages 1231-1247, September.
    9. André DECOSTER & Erik SHCOKKAERT, 1989. "Equity and efficiency of a reform of Belgian indirect taxes," Discussion Papers (REL - Recherches Economiques de Louvain) 1989023, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    10. Taylor, Timothy G. & Shonkwiler, J. S. & Theil, Henri, 1986. "Monte Carlo and bootstrap testing of demand homogeneity," Economics Letters, Elsevier, vol. 20(1), pages 55-57.
    11. Madden, David, 1996. "Marginal Tax Reform and the Specification of Consumer Demand Systems," Oxford Economic Papers, Oxford University Press, vol. 48(4), pages 556-567, October.
    12. Theil, Henri & Shonkwiler, J. S. & Taylor, Timothy G., 1985. "A Monte Carlo test of Slutsky symmetry," Economics Letters, Elsevier, vol. 19(4), pages 331-332.
    13. Keller, Wouter J., 1984. "Some simple but flexible differential consumer demand systems," Economics Letters, Elsevier, vol. 16(1-2), pages 77-82.
    14. Kenneth Clements & Wana Yang & Dongling Chen, 2001. "The matrix approach to evaluating demand equations," Applied Economics, Taylor & Francis Journals, vol. 33(8), pages 957-967.
    15. 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.
    16. William A. Barnett, 1979. "Theoretical Foundations for the Rotterdam Model," Review of Economic Studies, Oxford University Press, vol. 46(1), pages 109-130.
    17. de Boer, P. M. C. & Harkema, R., 1986. "Maximum likelihood estimation of sum-constrained linear models with insufficient observations," Economics Letters, Elsevier, vol. 20(4), pages 325-329.
    18. Byron, R. P., 1984. "On the flexibility of the Rotterdam model," European Economic Review, Elsevier, vol. 24(3), pages 273-283, April.
    19. Terence J. Wales, 1971. "A Generalized Linear Expenditure Model of the Demand for Non-durable Goods in Canada," Canadian Journal of Economics, Canadian Economics Association, vol. 4(4), pages 471-484, November.
    20. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-326, June.
    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. H. Ahammad & N. Islam, 1999. "Estimating the WA Agricultural Production System: A profit function approach," Economics Discussion / Working Papers 99-11, The University of Western Australia, Department of Economics.
    2. Kenneth Clements & Wana Yang & Dongling Chen, 2001. "The matrix approach to evaluating demand equations," Applied Economics, Taylor & Francis Journals, vol. 33(8), pages 957-967.
    3. Kenneth W. Clements & Dongling Chen, 1999. "Simulating Demand Systems," World Scientific Book Chapters, in: World Consumption Economics, chapter 8, pages 198-212, World Scientific Publishing Co. Pte. Ltd..
    4. Michael Gorman, 2005. "Estimation of an implied price elasticity of demand through current pricing practices," Applied Economics, Taylor & Francis Journals, vol. 37(9), pages 1027-1035.
    5. Saroja Selvanathan & E. A. Selvanathan, 2004. "Empirical regularities in South African consumption patterns," Applied Economics, Taylor & Francis Journals, vol. 36(20), pages 2327-2333.

    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. Clements, Kenneth W. & Gao, Grace, 2015. "The Rotterdam demand model half a century on," Economic Modelling, Elsevier, vol. 49(C), pages 91-103.
    2. Kesavan, Thulasiram, 1988. "Monte Carlo experiments of market demand theory," ISU General Staff Papers 198801010800009854, Iowa State University, Department of Economics.
    3. Andrej Cupák & Peter Tóth, 2017. "Measuring the Efficiency of VAT reforms: Evidence from Slovakia," Working and Discussion Papers WP 6/2017, Research Department, National Bank of Slovakia.
    4. Barnett, William A. & Serletis, Apostolos, 2008. "Measuring Consumer Preferences and Estimating Demand Systems," MPRA Paper 12318, University Library of Munich, Germany.
    5. E.A. Selvanathan, 1987. "The Economic Theory of the Consumer," Economics Discussion / Working Papers 87-05, The University of Western Australia, Department of Economics.
    6. Barnett, William A. & Serletis, Apostolos, 2008. "The Differential Approach to Demand Analysis and the Rotterdam Model," MPRA Paper 12319, University Library of Munich, Germany.
    7. Frank T. Denton & Dean C. Mountain, 2016. "Biases in consumer elasticities based on micro and aggregate data: an integrated framework and empirical evaluation," Empirical Economics, Springer, vol. 50(2), pages 531-560, March.
    8. Holt, Matthew T., 2002. "Inverse demand systems and choice of functional form," European Economic Review, Elsevier, vol. 46(1), pages 117-142, January.
    9. William Barnett & Ousmane Seck, 2006. "Rotterdam vs Almost Ideal Models: Will the Best Demand Specification Please Stand Up?," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200605, University of Kansas, Department of Economics.
    10. Michael Savage, 2016. "Indirect tax reform and the specification of demand: the case of Ireland," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 23(2), pages 368-399, April.
    11. Kenneth W. Clements & Antony Selvanathan & Saroja Selvanathan, 1996. "Applied Demand Analysis: A Survey," The Economic Record, The Economic Society of Australia, vol. 72(216), pages 63-81, March.
    12. William A. Barnett & Isaac Kalonda Kanyama, 2013. "Time-varying parameters in the almost ideal demand system and the Rotterdam model: will the best specification please stand up?," Applied Economics, Taylor & Francis Journals, vol. 45(29), pages 4169-4183, October.
    13. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.
    14. Ray, Ranjan, 1985. "Specification and time series estimation of dynamic Gorman Polar Form demand systems," European Economic Review, Elsevier, vol. 27(3), pages 357-374.
    15. Scholz, Christian M., 1997. "Environmental tax reform and the double dividend: An econometric demand analysis," Kiel Working Papers 821, Kiel Institute for the World Economy (IfW).
    16. K.W. Clements & E.A. Selvanathan & S. Selvanathan, 1989. "Henri Theil's Contributions to Demand Analysis," Economics Discussion / Working Papers 89-13, The University of Western Australia, Department of Economics.
    17. Kenneth Clements & Wana Yang & Simon Zheng, 1997. "Is utility additive? The case of alcohol," Applied Economics, Taylor & Francis Journals, vol. 29(9), pages 1163-1167.
    18. William A. Barnett & Isaac Kalonda Kanyama, 2013. "Time-varying parameters in the almost ideal demand system and the Rotterdam model: will the best specification please stand up?," Applied Economics, Taylor & Francis Journals, vol. 45(29), pages 4169-4183, October.
    19. William A. Barnett & Ousmane Seck, 2008. "Rotterdam model versus almost ideal demand system: will the best specification please stand up?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(6), pages 795-824.
    20. W D A Bryant, 2009. "General Equilibrium:Theory and Evidence," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6875, February.

    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:uwa:wpaper:98-10. 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: (Sam Tang). General contact details of provider: http://edirc.repec.org/data/deuwaau.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.