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A Lower Bound for the Power of Nonparametric Tests

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  • Aizcorbe, Ana M

Abstract

This note provides relatively simple algebraic expressions that may be used to obtain a lower bound for the power of nonparametric tests such as the generalized axiom of revealed preference. Bounds are calculated for several data sets in which it is found that the lower bound developed here may be useful in establishing the ability to detect violations of rational decision-making under the alternative hypothesis of random behavior.

Suggested Citation

  • Aizcorbe, Ana M, 1991. "A Lower Bound for the Power of Nonparametric Tests," Journal of Business & Economic Statistics, American Statistical Association, vol. 9(4), pages 463-467, October.
    • Handle: RePEc:bes:jnlbes:v:9:y:1991:i:4:p:463-67
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    Cited by:

    1. Marc-Arthur Diaye & François Gardes & Christophe Starzec, 2010. "GARP violation, Economic Environment Distortions and Shadow Prices: Evidence from Household Expenditure Panel Data," Post-Print halshs-00449463, HAL.
    2. Marc-Arthur Diaye & François Gardes & Christophe Starzec, 2009. "GARP violation, Economic Environment Distortions and Shadow Prices : Evidence from Household Expenditure Panel Data," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00376747, HAL.
    3. Andreoni,J. & Harbaugh,W.T., 2005. "Power indices for revealed preference tests," Working papers 10, Wisconsin Madison - Social Systems.
    4. Timothy K. M. Beatty & Ian A. Crawford, 2011. "How Demanding Is the Revealed Preference Approach to Demand?," American Economic Review, American Economic Association, vol. 101(6), pages 2782-2795, October.
    5. Marc-Arthur Diaye & François Gardes & Christophe Starzec, 2009. "GARP violation, Economic Environment Distortions and Shadow Prices : Evidence from Household Expenditure Panel Data," Post-Print halshs-00376747, HAL.
    6. Per Hjertstrand & James Swofford, 2014. "Are the choices of people stochastically rational? A stochastic test of the number of revealed preference violations," Empirical Economics, Springer, vol. 46(4), pages 1495-1519, June.
    7. Javier A. Birchenall, 2024. "Random choice and market demand," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 57(1), pages 165-198, February.

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