In the two references below the centered formulation of the Eight School Model has a line that explicitly describes the distribution y_n
The specific line is
y_{n} \sim \mathcal{N}(\theta_{n}, \sigma_{n})
But the non centered formula omits this line. Why is this the case? Is y_n not of interest in the non centered model, (but is for the centered model)
Centered Formulation
Non Centered Formulation
https://docs.pymc.io/notebooks/Diagnosing_biased_Inference_with_Divergences.html#A-Non-Centered-Eight-Schools-Implementation
http://mc-stan.org/users/documentation/case-studies/divergences_and_bias.html
Meta question - Is mathjax/rendered equations enabled on this discourse?