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Testing non‐nested demand relations: linear expenditure system versus indirect addilog

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  • Paul De Boer
  • Richard Paap

Abstract

In applied economic research computable general equilibrium (CGE) models in which the behavior of economic agents are modeled, are widely used. In many CGE models, the linear expenditure system (LES) is used to model the behavior of the household sector. The disadvantage of LES is that the Engel curves, describing the relationship between expenditure on a certain commodity and total expenditure, are straight lines. Moreover, the LES does not allow for the existence of inferior commodities, elastic demand and gross substitution. An alternative model for the household block is the indirect addilog system (IAS), which is as simple to implement as LES, but which does not suffer from these theoretical deficiencies. In this paper, we test the LES specification against the IAS specification in case one disposes of a budget survey. Consequently, IAS provides a theoretically richer description of household behavior than LES, while it is also easy to implement. It is not possible to use a standard likelihood ratio test as both models are not nested. We propose to use the likelihood ratio test for non‐nested hypotheses due to Vuong [(1989), Likelihood ratio tests for model selection and non‐nested hypotheses, Econometrica 57, 307–333.] or, alternatively, the distribution‐free test due to Clarke [(2007), A simple distribution‐free test for nonnested model selection, Political Analysis 15, 347–363.]. We apply both tests to the Palestinian Expenditure and Consumption Survey [PECS (2005), Palestinian Central Bureau of Statistics, Ramallah, Palestine.] and find that there is overwhelming evidence that the IAS specification is to be preferred to the LES specification.

Suggested Citation

  • Paul De Boer & Richard Paap, 2009. "Testing non‐nested demand relations: linear expenditure system versus indirect addilog," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 63(3), pages 368-384, August.
    • Handle: RePEc:bla:stanee:v:63:y:2009:i:3:p:368-384
    DOI: 10.1111/j.1467-9574.2009.00429.x
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    1. Lejour, Arjan & Rojas-Romagosa, Hugo & Verweij, Gerard, 2008. "Opening services markets within Europe: Modelling foreign establishments in a CGE framework," Economic Modelling, Elsevier, vol. 25(5), pages 1022-1039, September.
    2. Somermeyer, W. H. & Langhout, A., 1972. "Shapes of Engel curves and demand curves: Implications of the expenditure allocation model, applied to Dutch data," European Economic Review, Elsevier, vol. 3(3), pages 351-386, November.
    3. Arjan Lejour & Paul Veenendaal & Gerard Verweij & Nico van Leeuwen, 2006. "Worldscan; a model for international economic policy analysis," CPB Document 111, CPB Netherlands Bureau for Economic Policy Analysis.
    4. C. E. V. Leser, 1941. "Family Budget Data and Price-Elasticities of Demand," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 9(1), pages 40-57.
    5. Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-333, March.
    6. F. J. H. Don & J. P. Verbruggen, 2006. "Models and methods for economic policy: 60 years of evolution at CPB," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 60(2), pages 145-170, May.
    7. Jeffrey Reimer & Thomas Hertel, 2004. "Estimation of International Demand Behaviour for Use with Input-Output Based Data," Economic Systems Research, Taylor & Francis Journals, vol. 16(4), pages 347-366.
    8. Paul Veenendaal & Ton Manders, 2008. "Border tax adjustment and the EU-ETS, a quantitative assessment," CPB Document 171, CPB Netherlands Bureau for Economic Policy Analysis.
    9. Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762, November.
    10. Murty, K N, 1982. "Theoretical Restrictions on the Parameters of Indirect Addilog Demand Equations-A Comment," Econometrica, Econometric Society, vol. 50(1), pages 225-227, January.
    11. Bjarne S. Jensen & Paul de Boer, 2006. "Long-Run Patterns of Demand: The Expenditure System of the CDES Indirect Utility Function - Theory and Applications," DEGIT Conference Papers c011_056, DEGIT, Dynamics, Economic Growth, and International Trade.
    12. Hanoch, Giora, 1975. "Production and Demand Models with Direct or Indirect Implicit Additivity," Econometrica, Econometric Society, vol. 43(3), pages 395-419, May.
    13. John Cranfield & Paul Preckel & James Eales & Thomas Hertel, 2000. "On the estimation of 'an implicitly additive demand system'," Applied Economics, Taylor & Francis Journals, vol. 32(15), pages 1907-1915.
    14. Clarke, Kevin A., 2007. "A Simple Distribution-Free Test for Nonnested Model Selection," Political Analysis, Cambridge University Press, vol. 15(3), pages 347-363, July.
    15. de Bruijn, Roland & Kox, Henk & Lejour, Arjan, 2008. "Economic benefits of an Integrated European Market for Services," Journal of Policy Modeling, Elsevier, vol. 30(2), pages 301-319.
    16. Paul de Boer & Bjarne S. Jensen, 2005. "The Expenditure System of CDES Indirect Utility Functions," DEGIT Conference Papers c010_036, DEGIT, Dynamics, Economic Growth, and International Trade.
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    More about this item

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles

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