Calculating coefficients Standard errors for significance test

Hi guys,

I have used the Gibbs sampler (Bayesian techinque) and then their posterior mean, to get estimates for my betas.

Now I would like to test the significance of coefficients. Do you know how? Do I still have to calculate the standard errors of my betas and get the ratio for the t-stat?? And if Yes, how I am I getting the Standard errors??

Many thanks