8.1 Given independent samples ofmX and n Y variables, define the following random variables for i1, 2,
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8.1 Given independent samples ofmX and n Y variables, define the following random variables for i¼1, 2, . . . , m:
Ki¼rank of Xi among X1, X2, . . . , Xm Ri¼rank of Xi among X1, X2, . . . , Xm, Y1, Y2, . . . , Yn Use Ki and Ri to prove the linear relationship between the Mann–
Whitney and Wilcoxon rank-sum statistics given in (8.2.4).
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Related Book For 
Nonparametric Statistical Inference
ISBN: 9781420077612
5th Edition
Authors: Jean Dickinson Gibbons, Subhabrata Chakraborti
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