The following is my problem for which I’m grateful to have any advice/opinions:

I measured the distances animals moved in 3 different treatments. As a first step I compared the central tendency with an ANOVA. I think that should be ok.

As a second step I would like to test if the frequency distributions of the distances moved are the same in all three treatments. For this I chose the “Two-Sample Kolmogorov-Smirnov Test”. The name indicates already that this is a test for only two samples. Since I have three treatments I did the test three times and adjusted the 0.05 alpha level with the Bonferroni method.

Now my questions:

Is there any possibility to calculate a new p-value for every comparison? (instead of adjusting the customarily used 0.05 level?)

Apparently there is a discussion ongoing if there are better methods than the Bonferroni, does anybody have a short (easily understandable) summary of this discussion and the conclusion until now?

Or maybe I should in general use another test instead of the “Two-Sample Kolmogorov-Smirnov Test” to compare the distributions that might help to avoid a post multiple comparison method? If yes, which?

Thanks so much in advance for your help!

Hilary