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The ordinary Wilcoxon test is used to test the null hypothesis that two populations are identical. This paper presents a technique for utilizing the iJilcoxon statistic to test a null hypothesis of a broader type, such as is encountered in the Behrens-Fisher problem where it is required to test the equality of the means of two normal populations having (possibly) unequal variances. The discussion in this paper is on a rather technical level; for a less technical discussion, see Mimeograph Series No. 316.
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Richard F. Potthoff (1962) studied this question.
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