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Power and robustness of criteria used to verify the homogeneity of means

It is demonstrated that parametric tests of the homogeneity of means is robust with respect to disturbances in the assumption of normality of observations of random variables. The power of parametric and nonparametric tests is investigated.

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Correspondence to B. Yu. Lemeshko.

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Translated from Izmeritel'naya Tekhnika, No. 9, pp. 23–28, September, 2008.

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Lemeshko, B.Y., Lemeshko, S.B. Power and robustness of criteria used to verify the homogeneity of means. Meas Tech 51, 950–959 (2008). https://doi.org/10.1007/s11018-008-9157-3

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  • DOI: https://doi.org/10.1007/s11018-008-9157-3

Key words

  • power and robustness of Student's, Mann-Whitney, and Crustal-Wallis tests
  • F-test