I'm trying to compare several sets of experiment data, by comparing means. I read there are several different tests such as Each Pair, Student’s t and All Pairs, Tukey HSD, which give different circles of different radius, an example shown below
How are the circles defined? How do I calculate the radius? And is there a rule what test one should use for what kind of data?
There is a discussion of the circle construction in the JMP help/manuals. See Statistical Details for Comparison Circles.