Combinatorics, computer algebra and the Wilcoxon-Mann-Whitney test

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Combinatorics, Computer Algebra and Wilcoxon-mann-whitney Test

We show the combinatorics behind the Wilcoxon-Mann-Whitney two-sample test. This yields new combinatorial proofs of recurrences for its null distribution given recently by Brus and Chang, as well as new recurrences. It is shown how to convert these recurrences into generating functions. These generating functions are used to obtain closed expressions for the null distribution when one of the sa...

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ژورنال

عنوان ژورنال: Journal of Statistical Planning and Inference

سال: 1999

ISSN: 0378-3758

DOI: 10.1016/s0378-3758(98)00261-4