Transcription of Statistics: 2.3 The Mann-Whitney U Test - statstutor
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Statistics: The Mann-Whitney U TestRosie Shier. IntroductionThe Mann-Whitney U test is a non-parametric test that can be used in place of anunpaired t-test. It is used to test the null hypothesis that two samples come from thesame population ( have the same median) or, alternatively, whether observations in onesample tend to be larger than observations in the other. Although it is a non-parametrictest it does assume that the two distributions are similar in Carrying out the Mann-Whitney U testSuppose we have a sample ofnxobservations{x1, x2.}
Note that the Mann-Whitney U test is statistically equivalent to the Wilcoxon rank sum test (not to be confused with the Wilcoxon signed rank sum test, which is for paired data). Example: The following data shows the age at diagnosis of type II diabetes in young adults. Is the age at diagnosis different for males and females? Males: 19 22 16 29 24
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