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Mean Difference - Mann Whitney

Posted: Tue Nov 17, 2020 7:42 pm
by hallgatoemese
Hello,

i am wondering how the mean difference is calculated for Mann Whitney U test.
It is not the same as the difference between means, which is okay, since the comparison is not based on means. it is also not the difference between medians (which is also okay, since, strictly speaking, Mann Whitney does not compare medians but mean ranks). However, the number is not even the difference between mean ranks. I have no clue what I am seeing.

Can anyone help me with this? Am I missing something obvious?
Emese

Re: Mean Difference - Mann Whitney

Posted: Wed Nov 18, 2020 8:38 am
by jonathon
hi emese,

we use the wilcox.test() function from R to calculate this value, but i'm not sure what it represents. here's the R documentation:

https://stat.ethz.ch/R-manual/R-devel/library/stats/html/wilcox.test.html

although it doesn't seem to shed much light either.

jonathon

Re: Mean Difference - Mann Whitney

Posted: Mon Dec 14, 2020 11:05 am
by Bobafett
Are you sure about it NOT being the difference of the medians...?
Image

Re: Mean Difference - Mann Whitney

Posted: Mon May 10, 2021 8:14 am
by hallgatoemese
Sometimes it does seem like it is the difference of the medians. But it didn't took me long to find an example where it is not the case.

(i attached the screenshot)

Emese

Re: Mean Difference - Mann Whitney

Posted: Mon May 10, 2021 1:31 pm
by Bobafett
Out of interest - are there any tied ranks in the data? I wonder if they might be affecting these descriptives?