I'm conducting a meta-analysis that consists of 15 studies and ~40 construct effect sizes. Most of the constructs and studies use continuous variables and were straightforward in finding standardized mean differences (cohen's d). However, two studies use dichotomous variables and report the % of subjects who reported the construct. According to Lipsey & Wilson (2001), I'm leaning toward using the arcsine transformation over logit or probit due to the small sample size. For the below information "reported CSE", I got the arcsine transformations 1.115 for 28% and .644 for 10% according to the table of arcsine transformations in Lipsey & Wilson, making the estimated effect size = .471.
My main question is how do I compare the estimated effect sizes to the cohen's d in a forest plot? I have 95% CIs for all of the cohen's d calculations but only have the one point for the transformed ESs.