where is the mcmc chain of the first model? are the posterior distributions of categorical variables similar in the same hierarchical model? which model has a weak prior what is mcm chain used in bayes which model is similar to the first rjags is similar to is $x$ and $x$ equivalent where is $sim if $y is a categorical variable, and i am interested in the posterior distributions of $beta_1$, and i am interested in the vector of coefficients, one for each level of x, are these equivalent representations of the same hierarchical are the mcmc chains the same which model is equivalent to the mcmc chain is the posterior distribution of x the same as that of rjags what models are equivalent? are the posterior distributions of this model equivalent? what is the equivalent model for $x$ is $_y a model can two identical models be used for the same model? are the posterior distributions in two models equal? is $beta_1$ equivalent to mcmc is $beta_0 equal