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Max-type rank tests, U-tests, and adaptive tests for the two-sample location problem -- An asymptotic power study


  • Kössler, Wolfgang


For the two-sample location problem, two types of tests are considered, linear rank tests with various scores, but also some tests based on U-statistics. For both types adaptive tests as well as max-type tests are constructed and their asymptotic and finite power properties are investigated. It turns out that both the adaptive tests have a larger asymptotic power than the max-type tests. For small sample sizes, however, some of the max-type tests are preferable. U-statistics are convenient if extreme densities may occur.

Suggested Citation

  • Kössler, Wolfgang, 2010. "Max-type rank tests, U-tests, and adaptive tests for the two-sample location problem -- An asymptotic power study," Computational Statistics & Data Analysis, Elsevier, vol. 54(9), pages 2053-2065, September.
  • Handle: RePEc:eee:csdana:v:54:y:2010:i:9:p:2053-2065

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    References listed on IDEAS

    1. John, Majnu & Priebe, Carey E., 2007. "A data-adaptive methodology for finding an optimal weighted generalized Mann-Whitney-Wilcoxon statistic," Computational Statistics & Data Analysis, Elsevier, vol. 51(9), pages 4337-4353, May.
    2. Neuhauser, Markus & Hothorn, Ludwig A., 1999. "An exact Cochran-Armitage test for trend when dose-response shapes are a priori unknown," Computational Statistics & Data Analysis, Elsevier, vol. 30(4), pages 403-412, June.
    3. Schmid, Friedrich & Trede, Mark, 2003. "Simple tests for peakedness, fat tails and leptokurtosis based on quantiles," Computational Statistics & Data Analysis, Elsevier, vol. 43(1), pages 1-12, May.
    4. Beier, F. & Buning, H., 1997. "An adaptive test against ordered alternatives," Computational Statistics & Data Analysis, Elsevier, vol. 25(4), pages 441-452, September.
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