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This paper proposes to develop a ties adjusted or corrected approach to the usual Mann-Whitney U test that structurally makes provision for the correction of the U statistic and its variance for the possible presence of ties observation between the two sampled populations. The modification makes it unnecessary as is the case with the ordinary Mann-Whitney U test for the populations to be continuous with this method data analysis may precede without any problem when the populations are measurements on as low as the ordinal scale and may not be numerical. The method which is based on both magnitude and direction enables the estimation of the probabilities that a randomly selected subject from one population performs or scores higher, as well as or lower than a randomly selected subject from the other population. The procedure is illustrated with some sample data and shown to be at least as powerful as the modified median test and the usual MannWhitney U test.

Modified Intrinsically Ties Adjusted Mann-Whitney U Test