What are the different measures of effect size used for chi-squared tests / binomial data? I'm already at least somewhat familiar with the phi coefficient and odds ratio. I've heard of Cramer's V and relative risk as well. However, I'm still not sure how to decide which effect sizes to report in different circumstances. What are the arguments for / against the different measures of effect size and in what circumstances are each most informative?
Additionally, though I have resources for calculating confidence intervals for the odds ratio, I have struggled to find information regarding confidence intervals for the other effect size measures.