Question: U-test as a t -test for rank statistics. Consider the two-sample t -statistic T of Problem 10.24 and replace the total sample X1; : :

U-test as a t -test for rank statistics. Consider the two-sample t -statistic T of Problem 10.24 and replace the total sample X1; : : : ; Xk; Y1; : : : ; Yl by the respective ranks R1; : : : ;

RkCl . Show that the test statistic obtained in this way differs from the Wilcoxon statistic W only by a constant.

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