Question: The Mann-Whitney U test is equivalent to the Wilcoxon rank-sum test for independent samples in the sense that they both apply to the same situations

The Mann-Whitney U test is equivalent to the Wilcoxon rank-sum test for independent samples in the sense that they both apply to the same situations and always lead to the same conclusions. In the Mann-Whitney U test we calculate.

The Mann-Whitney U test is equivalent to the Wilcoxon rank-sum

Where

The Mann-Whitney U test is equivalent to the Wilcoxon rank-sum

Use the pulse rates listed in Table 13-5 in this section to find the z test statistic for the Mann Whitney U test. Compare this value to the z test statistic found using the Wilcoxon rank-sum test.

The Mann-Whitney U test is equivalent to the Wilcoxon rank-sum

U- 22 (n1 + n2 + 1) 12 U = n,n2 Table 13-5 Pulse Rates (Ranks in parentheses) Males 60 (4.5) 74 (11) 86 (19) 54 (1) 90 (20.5) 80 (17) 66 (7) 68 (9) 68 (9) 56 (2.5) 80 (17) 62 (6) Females 78 (14) 80 (17) 68 (9) 56 (2.5) 76 (12) 78 (14) 78 (14) 90 (20.5) 96 (22) 60 (4.5) 98 (23) 12 Ri = 123.5 = 1525

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