Hello, I have a confusion about this chapter.

Specifically, it states:

…the correlation matrix

`Omega`

and scale vector`tau`

are more natural to inspect in the output;

Then later it also says:

The prior scale vector

`tau`

is unchanged, and furthermore, pre-multiplying the Cholesky factor by the scale produces the Cholesky factor of the final covariance matrix,

Sigma_beta = …

My understanding is that the off-diagonal elements of `Omega`

are the correlations between the random effects (please confirm?).

But I see that the diagonal elements of `Sigma_beta`

are quite different from `tau`

. Are they supposed to be different? Which is supposed to represent the population variances of the random effects?

Thank you in advance.