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What Do Heteroskedasticity Tests Detect?

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  • Dutta, Jayasri
  • Zaman, Asad

Abstract

A test can be said to ‘detect’ an alternative hypothesis only if its power against this alternative exceeds its size. We use this principle to define the implicit null and alternative for a test. We analyze the performance of several tests for location and scale parameters. We show that there are many situations in which heteroskedasticity is impossible to detect: any test has zero power against many heteroskedastic alternatives.

Suggested Citation

  • Dutta, Jayasri & Zaman, Asad, 1989. "What Do Heteroskedasticity Tests Detect?," MPRA Paper 113344, University Library of Munich, Germany, revised Dec 1992.
    • Handle: RePEc:pra:mprapa:113344
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    File URL: https://mpra.ub.uni-muenchen.de/113344/1/MPRA_paper_113344.pdf
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    References listed on IDEAS

    as
    1. Davidson, Russell & MacKinnon, James G, 1987. "Implicit Alternatives and the Local Power of Test Statistics," Econometrica, Econometric Society, vol. 55(6), pages 1305-1329, November.
    2. Andrews, Donald W K, 1989. "Power in Econometric Applications," Econometrica, Econometric Society, vol. 57(5), pages 1059-1090, September.
    3. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-838, May.
    4. Chesher, Andrew D, 1984. "Testing for Neglected Heterogeneity," Econometrica, Econometric Society, vol. 52(4), pages 865-872, July.
    5. Szroeter, Jerzy, 1978. "A Class of Parametric Tests for Heteroscedasticity in Linear Econometric Models X1-ab," Econometrica, Econometric Society, vol. 46(6), pages 1311-1327, November.
    6. Koenker, Roger, 1981. "A note on studentizing a test for heteroscedasticity," Journal of Econometrics, Elsevier, vol. 17(1), pages 107-112, September.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    heteroskedasticity; tests; implicit null; implicit alternative;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General

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