Can you suggest tips for setting priors when modeling the standard deviation:
If you observe the empirical sd varies from ~50-70, how would you set priors on the intercept and slope parameters (model 1). How does your approach change with grouped intercepts and slopes (model 2) and multiple grouped intercepts and slopes (model 3).
model 1: sd= exp( intercept1 + slopex);
model2: sd= exp( intercept1_grouped + slope_groupedx);
model 3: sd= exp( intercept1_grouped + intercept2_grouped + slope1_groupedx1 + slope2_groupedx2);