I have run a 1 way ANOVA and carried out some post hocs to see which direction the results go in. If I report the direction of the findings - e.g. this group was higher than the other, which statistic do I quote? I have carried out Games-Howell post hoc and all it seems to come with is an associated p value, is this all that I report?
You can report the $p$-values, or can make a figure with the means (plus/minus the standard error) and indicate with different letters those means that are statistically different according to G&H test. Games and Howell procedure uses the Studentized maximum modulus distribution. Hope it help! and excuse my english
The approach is just one of many possible ways to adjust for multiplicity. You could also apply bootstrap p-value adjustment ala Westfall and Young.