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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. de Boer, P.M.C., 2009. "Modeling household behavior in a CGE model: linear expenditure system or indirect addilog?," Econometric Institute Research Papers EI 2009-16, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    2. Cristian Ricardo Nogales Carvajal, 2009. "Un sistema lineal de gasto: identificando patrones de consumo de alimentos en Bolivia," Investigación & Desarrollo 0109, Universidad Privada Boliviana, revised Jan 2009.
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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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