Should there be an extra line in Eight Schools Model formulation?

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

Meta question - Is mathjax/rendered equations enabled on this discourse?

You are right, y_{n} \sim \mathcal{N}(\theta_{n}, \sigma_{n}) should also be in the model for completeness.

And yes, mathjax is enabled :wink: