So does anyone do descriptive statistics differently when using Bayesian inferential approaches? So, when initially reporting measures of central tendency and dispersion for variables do you just present mean or median still as with frequentist approaches? I am not sure how you would do them differently unless you used bootstrapping or another approach. I suppose as in Bayesian the data is fixed and the parameters are random so how would that effect reporting a mean with standard deviation in the initial descriptive statistics?

It seems like it is another example of how Bayes approaches are still coupled with frequentisti approaches, say like when doing Bayesian model diagnostics (e.g., Geweke diagnostics, Raftery-Lewis,Gelman-Rubin, etc.).