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Toward a Unified Approach to Testing for Weak Separability

Author

Listed:
  • Jones, Barry

    (Department of Economics, State University of New York at Binghamton)

  • Elger, Thomas

    (Department of Economics, Lund University)

  • Edgerton, David

    (Department of Economics, Lund University)

  • Dutkowsky, Donald

    (Department of Economics, Syracuse University)

Abstract

In this paper we propose a unified framework for testing weak separability. We present a new three-step procedure, which is a joint test of necessary and sufficient conditions that takes account of the possibilities of both measurement error and incomplete adjustment. We illustrate the operational capability of the procedure with an empirical example. At the present time our procedure works well in medium sized samples, but may not be practical for datasets with extremely large sample sizes. As computing technology continues to advance, however, high-powered methods like the one we propose should supplant testing approaches that were originally designed to circumvent computational limitations

Suggested Citation

  • Jones, Barry & Elger, Thomas & Edgerton, David & Dutkowsky, Donald, 2004. "Toward a Unified Approach to Testing for Weak Separability," Working Papers 2004:1, Lund University, Department of Economics.
    • Handle: RePEc:hhs:lunewp:2004_001
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    References listed on IDEAS

    as
    1. Swofford, James L & Whitney, Gerald A, 1987. "Nonparametric Tests of Utility Maximization and Weak Separability for Consumption, Leisure and Money," The Review of Economics and Statistics, MIT Press, vol. 69(3), pages 458-464, August.
    2. Kyrre Rickertsen, 1998. "The demand for food and beverages in Norway," Agricultural Economics, International Association of Agricultural Economists, vol. 18(1), pages 89-100, January.
    3. Fisher, Douglas & Fleissig, Adrian R, 1997. "Monetary Aggregation and the Demand for Assets," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(4), pages 458-475, November.
    4. William A. Barnett & Seungmook Choi, 2004. "A Monte Carlo Study of Tests of Blockwise Weak Separability," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 257-287, Emerald Group Publishing Limited.
    5. Swofford, James L. & Whitney, Gerald A., 1994. "A revealed preference test for weakly separable utility maximization with incomplete adjustment," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 235-249.
    6. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    7. Manser, Marilyn E & McDonald, Richard J, 1988. "An Analysis of Substitution Bias in Measuring Inflation, 1959-85," Econometrica, Econometric Society, vol. 56(4), pages 909-930, July.
    8. Lee A. Craig & Douglas Fisher, 1997. "The Demand for Money," Palgrave Macmillan Books, in: The Integration of the European Economy, 1850–1913, chapter 7, pages 160-186, Palgrave Macmillan.
    9. Hal R. Varian, 1983. "Non-parametric Tests of Consumer Behaviour," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(1), pages 99-110.
    10. Varian, Hal R., 1985. "Non-parametric analysis of optimizing behavior with measurement error," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 445-458.
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    Cited by:

    1. Barnett, William A. & de Peretti, Philippe, 2009. "Admissible Clustering Of Aggregator Components: A Necessary And Sufficient Stochastic Seminonparametric Test For Weak Separability," Macroeconomic Dynamics, Cambridge University Press, vol. 13(S2), pages 317-334, September.
    2. Elger, C. Thomas & Jones, Barry E. & Edgerton, David L. & Binner, Jane M., 2008. "A Note On The Optimal Level Of Monetary Aggregation In The United Kingdom," Macroeconomic Dynamics, Cambridge University Press, vol. 12(1), pages 117-131, February.
    3. Elger Thomas & Binner Jane M., 2004. "The UK Household Sector Demand for Risky Money," The B.E. Journal of Macroeconomics, De Gruyter, vol. 4(1), pages 1-22, March.

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    More about this item

    Keywords

    Weak separability; measurement error; incomplete adjustment;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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