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The Wilcoxon Rank-Sum (Mann-Whitney) Test for Two Independent Samples

This test is used in place of a two sample t test when the populations being compared are not normal. It requires independent random samples of sizes tex2html_wrap_inline3601 and tex2html_wrap_inline3603 . The test is very simple and consists of combining the two samples into one sample of size tex2html_wrap_inline3621 , sorting the result, assigning ranks to the sorted values (giving the average rank to any `tied' observations), and then letting T be the sum of the ranks for the observations in the first sample. If the two populations have the same distribution then the sum of the ranks of the first sample and those in the second sample should be close to the same value. Stataquest returns a p value for the null hypothesis that the two distributions are the same.



Jan Lethen
Wed Nov 13 16:20:46 CST 1996