I have the following dilemma:
Design: 1 (Group: Patient vs. Control_1 vs. Control_2) between-factors design arrayed as a 1-way ANOVA
Analysis: Following a main effect of group perform I perform all pairwise comparisons using Tukey tests.
Question: Cohen's d for paired comparisons is the mean difference divided by the pooled standard deviation. This information is not available for Tukey tests. Is there a way to compute Cohen's d or a standardized effect size from these data?