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5 votes
2 answers
178 views

Wilcoxon (WMWU) test sensitivity

Statistics courses often give the Wilcoxon-Mann-Whitney U test ("Wilcoxon" from now on) as an alternative to the two-sample t-test. However, the test is not quite the test of medians that would be so ...
Dave's user avatar
  • 65k
1 vote
0 answers
871 views

How to explain to a non-statistician researcher why the 2-sample Hodges-Lehmann-estimator is reported instead of the difference in median?

I need to explain the result of the wilcox.test in R. Many people believe it's about medians. Of course it is not. I understand this is a useful non-parametric measure about statistical equality of ...
Sonixos993's user avatar
1 vote
0 answers
57 views

This is a comparison between non-normal samples of different sizes?

I have 16 types of experiments (a matrix of 4 conditions and 4 bacterial strains). Each experiment type is composed by a variable number of samples (4-8). Each sample is made of a variable number of ...
lorean's user avatar
  • 11
6 votes
3 answers
5k views

Comparison of medians in samples with unequal variance, size and shape

What am I trying to do and how does my data look? I am trying to perform some comparisons of medians of groups of data that, most often than not, are not-normally distributed. In some cases I am ...
Sos's user avatar
  • 421
16 votes
1 answer
4k views

Why is the Mann–Whitney U test significant when the medians are equal?

I've received a results from a Mann-Whitney rank test that I don't understand. The median of the 2 populations is identical (6.9). The uppper and lower quantiles of each population are: 6.64 & 7....
Mog's user avatar
  • 1,241