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Distribution‐free tests for comparing several treatments with a control

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  • M. A. Fligner
  • D. A. Wolfe

Abstract

In this paper we propose distribution‐free treatments versus control tests for the one‐ and two‐way classifications. The null distribution properties are shown to be equivalent to those of well‐known statistics for which critical values have been extensively tabled. Asymptotic relative efficiencies with respect to corresponding normal theory competitors are derived and optimal designs for the allocation of experimental units to the treatments and control are obtained.

Suggested Citation

  • M. A. Fligner & D. A. Wolfe, 1982. "Distribution‐free tests for comparing several treatments with a control," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 36(3), pages 119-127, September.
    • Handle: RePEc:bla:stanee:v:36:y:1982:i:3:p:119-127
    DOI: 10.1111/j.1467-9574.1982.tb00783.x
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    Cited by:

    1. Guogen Shan & Daniel Young & Le Kang, 2014. "A New Powerful Nonparametric Rank Test for Ordered Alternative Problem," PLOS ONE, Public Library of Science, vol. 9(11), pages 1-10, November.
    2. Kozlitina Julia & Schucany William R., 2015. "A robust distribution-free test for genetic association studies of quantitative traits," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 14(5), pages 443-464, November.

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