Can you explain whether the following makes sense?
Assume there is a model y=ax + b
Here, a & b are the parameters I want to infer, and there are 40 samples.
To infer the parameters from the given data, I conducted group level Bayesian modeling.
The value of Mu_a and Mu_b are inferred, and from there a[k] and b[k] can be inferred.
At this point, I want to know whether a is outliere from the group.
If the estimate of a is outside of 90% HDI of mu_a, can it be considered as such?