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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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    References listed on IDEAS

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    1. repec:bla:restud:v:57:y:1990:i:1:p:99-125 is not listed on IDEAS
    2. Gregory, Allan W, 1994. "Testing for Cointegration in Linear Quadratic Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(3), pages 347-360, July.
    3. Hansen, Bruce E., 1992. "Efficient estimation and testing of cointegrating vectors in the presence of deterministic trends," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 87-121.
    4. Engle, R. F. & Granger, C. W. J. (ed.), 1991. "Long-Run Economic Relationships: Readings in Cointegration," OUP Catalogue, Oxford University Press, number 9780198283393.
    5. Engle, Robert F. & Yoo, Byung Sam, 1987. "Forecasting and testing in co-integrated systems," Journal of Econometrics, Elsevier, vol. 35(1), pages 143-159, May.
    6. Phillips, Peter C B & Ouliaris, S, 1990. "Asymptotic Properties of Residual Based Tests for Cointegration," Econometrica, Econometric Society, vol. 58(1), pages 165-193, January.
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    Cited by:

    1. repec:hal:journl:halshs-00449463 is not listed on IDEAS
    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. 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.
    5. 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.

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