Lower and upper bounds of correlation coefficient

What is the algorithm that MATLAB uses to estimate lower and upper bounds of the correlation coefficients when using:

[R,P,RL,RU] = corrcoef(___)

And is that equivalent to perform bootstrapping?

Answer 1

[the cyclist]

You can look at the code of corrcoef by typing

edit corrcoef

In R2022b, the computation is done in lines 158-172.

I didn't find a particularly definitive source for that calculation, but I was able to find it in many places, e.g. here.

I don't think it is strictly equivalent to bootstrapping, but I expect that under typical assumptions (normality of something or other, limit of lots of data, etc) they are going to be close.