Message-ID: <721ABA4D-0B36-43D8-AA6E-3C10265C2239@gmail.com>
Date: 2012-09-19T17:46:44Z
From: Mohamed Radhouane Aniba
Subject: 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
> summary(a)
Min. 1st Qu. Median Mean 3rd Qu. Max.
0.0000000 0.0001411 0.0002381 0.0002671 0.0003623 0.0012910
> summary(c)
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