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Wilcoxon Test and Mean Ratios

Hello All,

I am writing to ask your opinion on how to interpret this case. I have two vectors "a" and "b" that I am trying to compare.

The wilcoxon test is giving me a pvalue of 5.139217e-303 of a over b with the alternative "greater". Now if I make a summary on each of them I have the following
Min.   1st Qu.    Median      Mean   3rd Qu.      Max. 
0.0000000 0.0001411 0.0002381 0.0002671 0.0003623 0.0012910
Min.   1st Qu.    Median      Mean   3rd Qu.      Max. 
0.0000000 0.0000000 0.0000000 0.0004947 0.0002972 1.0000000

The mean ratio is then around 0.5399031 which naively goes in opposite direction of the wilcoxon test ( I was expecting to find a ratio >> 1)

Even after removing outlier using the outlier package, I still have the same thing. Can someone help me explain why I do have this result and how to explain it ?

Thanks in advance

Rad