I have two populations whose size is 36 and whose values I want to compare.
I want to understand whether or not the two populations are statistically different and, if so, to know which one has larger values. Here's what I was thinking about doing:
1. I was thinking about simply using a MannWhitney test to compare the medians, but I'm not sure there is something else that I could use.
2. I was also thinking about doing a ranked comparison
Because the two populations' values are somewhat related, I was thinking about attributing an index to each comparison as follows
value index val1=-1.6,-3.5 1 val2=-1.55,-5.29 1 val3=-0.819,-2.11 1 val4=-4.86,-6.01 1 val5=-5.15,-2.91 2 val6=-21,-14 2 ...
v_index would then be compared with another vector
v_control only with
2. I would then determine whether the median of
v_control is statistically different than 0.
What do you guys think?