I would like to test the difference between 2 correlations on statistical significance by using confidence intervals.
Regarding means: By now I found out, that when comparing 2 means overlapping/non-overlapping 84% confidence intervals are close to a significance test at 5%, while computing 95% confidence intervals will be to conservative:
on stack exchange: Family-wise confidence intervals or ANCOVA in R suggests different intercepts, but the 95% CIs overlap... how is this possible? And here is a paper i found on google scholar regarding the comparision of means using an 84% confidence interval: https://academic.oup.com/jinsectscience/article/2577125
However, i couldn´t find anything regarding correlations.
So my question: Can i use a 84% confidence interval for testing correlations, just like it seems to be done with means?