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, .. xn}in one group ( from onepopulation) and a sample ofnyobservations{y1, y2, .. yn}in another group ( fromanother population).The Mann-Whitney test is based on a comparison of every observationxiin the firstsample with every observationyjin the other sample.
The exact test and the normal approximation give similar results. We would conclude ... 3 Carrying out the Mann-Whitney U test in SPSS — Choose Analyze — Select Nonparametric Tests — Select 2 Independent Samples — Highlight your test variable (in our example this would be age) and click on the arrow
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