Moments and Cumulants of The Two-Stage Mann-Whitney Statistic
Dewei Zhong, John Kolassa
TL;DR
This paper derives the moments and cumulants of the two-stage Mann-Whitney statistic to facilitate the calculation of asymptotic critical values for the test, providing detailed mathematical deductions.
Contribution
It introduces a method to compute moments and cumulants of the two-stage Mann-Whitney statistic, aiding in statistical test critical value determination.
Findings
Derived explicit formulas for moments and cumulants
Enabled calculation of asymptotic critical values
Provided comprehensive mathematical deductions
Abstract
This paper illustrates how to calculate the moments and cumulants of the two-stage Mann-Whitney statistic. These results may be used to calculate the asymptotic critical values of the two-stage Mann-Whitney test. In this paper, a large amount of deductions will be showed.
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Taxonomy
TopicsAdvanced Statistical Methods and Models