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Activity Number: 189
Type: Contributed
Date/Time: Monday, August 4, 2014 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract #312174
Title: Higher-Order Approximations to Multivariate Mann-Whitney Statistics
Author(s): Xinyan Chen*+ and John Kolassa
Companies: and Rutgers University
Keywords: MWW statistics ; approximation
Abstract:

In this paper, the approximation of Yarnold (1972) is applied to correlated samples of Mann Whitney Wilcoxon (MWW) statistics. We compare accuracy of the Yarnold approximation with that of the chi-square approximation, for Wilcoxon statistics calculated both from independent and correlated data. Our conclusion is in each case, Yarnold approximation achieves better accuracy than chi-square approximation for MWW statistics. We also consider accuracy of the approximation of Yarnold when cross moments are estimated from the data set.


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