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Solved: Using the Mann-Whitney UTest The Mann-Whitney
Chapter 13, Problem 13 BB(choose chapter or problem)
Using the Mann-Whitney U Test The MannWhitney 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
z = U − n 1 n 2 2 n 1 n 2 ( n 1 + n 2 + 1 ) 12
where
U = n 1 n 2 + n 1 ( n 1 + 1 ) 2 − R
Use the pulse rates listed in Table 135 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.
Questions & Answers
QUESTION:
Using the Mann-Whitney U Test The MannWhitney 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
z = U − n 1 n 2 2 n 1 n 2 ( n 1 + n 2 + 1 ) 12
where
U = n 1 n 2 + n 1 ( n 1 + 1 ) 2 − R
Use the pulse rates listed in Table 135 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.
ANSWER:
Solution 13BB
Also for Wilcoxon Rank-Sum test the values of and the test statics z are calculated in the following way:
