Thanks @bwengals!
I threw the data into the model I mentioned here and here are the results:
mean sd hdi_3% hdi_97% ess_bulk r_hat
mu 1.05 0.30 0.49 1.60 3737.0 1.0
sigma 2.06 0.34 1.49 2.74 2769.0 1.0
theta_star[0] 1.50 0.00 1.50 1.50 4000.0 NaN
theta_star[1] 2.32 0.17 2.02 2.66 4432.0 1.0
theta_star[2] 3.16 0.26 2.67 3.65 3590.0 1.0
theta_star[3] 4.01 0.32 3.42 4.63 3509.0 1.0
theta_star[4] 4.81 0.34 4.16 5.41 3712.0 1.0
theta_star[5] 5.64 0.29 5.10 6.16 4457.0 1.0
theta_star[6] 6.50 0.00 6.50 6.50 3662.0 1.0
Looking at the Kruschke results, the sigma
mean is a little low, but then again the priors are not exactly the same. The model runs cleanly in 20-40 seconds depending on the priors used.
I haven’t looked at the ConstrainedUniform
implementation in depth, but there are differences in how my model and the model above is setting the limits to the cutpoints, and that’s going to influence the mean
and sd
estimates. I can look further into the differences too.