# Meaning output ANOVA post hoc tests

I am carrying out an ANOVA in Mma, and I wanted to apply a post-hoc test, but I do not understand the output that is given. It says e.g. Model-> Duncan, {4, 5} but what would that mean?

• Duncan's test effectively performs the same sequential paired comparisons as the StudentNewmanKeuls test, but with significance levels adjusted at each iteration. You can find more Information here and here. On statistical issues the guys from Cross Validated can provide better information. – user9660 Sep 17 '14 at 14:03
• The point is that I don't get why Mathamtica gives an output such as {4,5}. What does this particular output mean? – user18798 Sep 26 '14 at 10:04

The last example in the documentation for the ANOVA package ANOVA tutorial:
In your example, Model-> Duncan, {4, 5} means (1) you have set the option PostTests->Duncan in your code, and (2) groups 4 and 5 are significantly different at the 100 - x % significance level where x the significance level you have specified as the value of the option SignificanceLevel or the default value (which, I think, is5%).