Stretched beta prior width in Bayesian correlation (Pearson's vs Kendall's)
I am running some correlations, and want to provide the Bayesian alternatives in the analysis. Some correlations are on normally distributed variables, so I am using Pearson's, others are non-parametric, so I'm using Kendall's tau-b. I have a query regarding uninformed priors in these cases.
Why is the prior flat for Pearson's at width 1, but only flat for Kendall's at width 2?