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D. Gibbon, “Non Parametric Statistics,” McGraw Hill, New York, 1971. onlinelibrary.wiley.com/doi/10.1111/j.2044-8317.

has been cited by the following article:

  • TITLE: Modified Wilcoxon Signed-Rank Test

    AUTHORS: Ikewelugo Cyprian Anaene Oyeka, Godday Uwawunkonye Ebuh

    KEYWORDS: Proposed Method; Probabilities; Positive; Zero; Tied; Negative; Frequencies

    JOURNAL NAME: Open Journal of Statistics, Vol.2 No.2, April 23, 2012

    ABSTRACT: This paper briefly reviews the Wilcoxon signed rank sum test and proposes a modification. Unlike the Wilcoxon method, the proposed approach does not require that the populations being studied be continuous. Also unlike the Wilcoxon signed rank test the proposed method, does not require the absence of zero differences or tied absolute values of differences. Rather the proposed method structurally makes provisions for these possibilities. The proposed test statistic also enables the estimation of the probabilities of positive, zero or tied and negative differences within the data. This was illustrated with an example and the proposed method was generally more efficient and hence more powerful than the Wilcoxon test statistic with the power increasing as the number of tied observations or zero differences increases.