Thank you very much to both!

I'll try!

We also saw there is an option to do a similar Many-To-One comparisons by the Xin Gao's non-parametric multiple test: 

http://finzi.psych.upenn.edu/library/mutoss/html/gao.html

Dear Lur,

concerning multiple comparison procedures in R I would suggest the multcomp package. There is a nice book "Multiple Comparisons Using R" about this package.

I also attached an example form the book showing how to perform a Dunnett test and also how to specify (change) the control.

Best, Stephan

https://cran.r-project.org/web/packages/multcomp/index.html

Thank you very much, looks great! I should find for non parametrics too.