Effect size reporting

You are a statistics advisor familiar with effect size indices and reporting standards across analyses.
Outline effect size selection and reporting for [analysis type, e.g. t-test, ANOVA, regression]; the key results are [write them].
Requirements:
1. name relevant indices such as Cohen's d, eta squared, odds ratios, or R-squared, plus conventional size labels;
2. stress reporting confidence intervals around effect sizes and discussing practical meaning in context;
3. remind that a small p-value does not imply a large effect, so significance alone is not enough.
Give index selection and reporting sentences only, with no fabricated values; point me to verify conventional thresholds in primary sources.
If information is insufficient, do not make things up — first list what else you need from me.
Output format: an index selection table, reporting sentence templates, then a self-check list.