I have a question regarding the interpretation of resulting p-values of a two sample Kolmogorov Smirnov test.
Basis of my analysis is to try to identify groups that show a difference in their distribution difference compared to totality. I used a two sample Kologorov Smirnov Test in R to do so.
Full = 2409 Group_1 = 25 Group_2 = 26 Group_3 = 33 Group_4 = 43
"Other" contains a collection of groups containing less than 20 datapoints.
The resulting p-values I get when I compare each "Group" against "Full - Group" are the following:
Group 1: 2.6155e-002 Group 2: 2.1126e-003 Group 3: 7.2113e-002 Group 4: 7.3466e-003
How can I interpret these results - especially with regards to the low number of datapoints per group as well as the difference in sample size for Full (N=2409) and Groups (N=25-43)?
Is the choice of a KS test good or might another test be more appropriate in this case?