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Testing Non-nested Demand Relations: Linear Expenditure System versus Indirect Addilog

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  • de Boer, P.M.C.
  • Paap, R.

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 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. Consequently, IAS provides a theoretically richer description of household behavior than LES, while it is as easy to implement. In this paper we test the LES specification against the IAS specification in case one disposes of a budget survey. 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), or, alternatively, the distribution-free test due to Clarke (2007). We apply both tests to the Palestinian Expenditure and Consumption Survey (PECS, 2005) and find that there is overwhelming evidence that the IAS specification is to be preferred to the LES specification.

Suggested Citation

  • de Boer, P.M.C. & Paap, R., 2009. "Testing Non-nested Demand Relations: Linear Expenditure System versus Indirect Addilog," Econometric Institute Research Papers EI 2009-07, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:15564
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    Cited by:

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    3. Shojaeddini, Ensieh & Schreiber, Andrew & Wolverton, Ann & Marten, Alex, 2024. "Consumer demand and the economy-wide costs of regulation: Modeling households with empirically estimated flexible functional forms," Journal of Environmental Economics and Management, Elsevier, vol. 125(C).
    4. Cristian Ricardo Nogales Carvajal, 2009. "Un sistema lineal de gasto: identificando patrones de consumo de alimentos en Bolivia," Investigación & Desarrollo, Universidad Privada Boliviana, vol. 1(1), pages 27-43.

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    More about this item

    Keywords

    models of household behavior; non-nested hypothesis testing;

    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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