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Testing for Separation in Agricultural Household Models and Unobservable Household-Specific Effects

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  • Jean-Louis Arcand

    (CERDI - Centre d'Études et de Recherches sur le Développement International - UdA - Université d'Auvergne - Clermont-Ferrand I - CNRS - Centre National de la Recherche Scientifique)

  • Béatrice D'Hombres

    (CERDI - Centre d'Études et de Recherches sur le Développement International - UdA - Université d'Auvergne - Clermont-Ferrand I - CNRS - Centre National de la Recherche Scientifique)

Abstract

When market structure is complete, factor demands by households will be independent of their characteristics, and households will take their production decisions as if they were profit-maximizing firms. This observation constitutes the basis for one of the most popular empirical tests for complete markets, commonly known as the “separation” hypothesis. In this article, we show that most existing tests for separation using panel data are potentially biased towards rejecting the null-hypothesis of complete markets, because of the failure to adequately control for unobservable household-specific effects. Since the variables on which the test for separation is based cannot be identifed in most panel datasets following the usual covariance transformations, and are likely to be correlated with the household-specific effect, neither the within nor the variance-components procedures are able to solve the problem. We show that the Hausman-Taylor 1981 estimator, in which the impact of covariates that are invariant along one dimension of a panel can be identifed through the use of covariance transformations of other included variables that are orthogonal to the household-specific effects as instruments, provides a simple solution. Our approach is applied to a rich Tunisian dataset in which separation –and thus the null of complete markets– is strongly rejected using the standard approach, but is not rejected once correlated unobservable household-specific effects are controlled for using the Hausman-Taylor instrument set.

Suggested Citation

  • Jean-Louis Arcand & Béatrice D'Hombres, 2011. "Testing for Separation in Agricultural Household Models and Unobservable Household-Specific Effects," Working Papers halshs-00557188, HAL.
  • Handle: RePEc:hal:wpaper:halshs-00557188
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00557188
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    References listed on IDEAS

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    Cited by:

    1. Touhami Abdelkhalek & Fouzia Ejjanoui, 2015. "Tests De Séparabilité dans les Decisioins des Menages Agricoles: Cas du Maroc," Working Papers 955, Economic Research Forum, revised Oct 2015.

    More about this item

    Keywords

    panel data; household-specific effects; Household models; testingfor incomplete markets; development microeconomics; Tunisia;

    JEL classification:

    • D13 - Microeconomics - - Household Behavior - - - Household Production and Intrahouse Allocation
    • O12 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Microeconomic Analyses of Economic Development
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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