I have looked at different web tools for calculating confidence intervals for effect size like Cohen's d for within-subject design. My experience from this survey tells me that there are different ways to estimate within SD because results I got differs on both effect size and confidence intervals. They usually use correlations between variable to estimate pooled variance. Can anyone point me to adequate way of calculating these things?
In addition I mainly use effect size confidence intervals to determine when intervals are non-overlapping the zero effect as hypothesis testing. Does this produce the same results as using a standard confidence interval for the difference directly?