Browsing by Subject "Truncated normal"
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Item The effects of three different priors for variance parameters in the normal-mean hierarchical model(2010-05) Chen, Zhu, 1985-; Greenberg, Betsy S.; Sager, Thomas W.Many prior distributions are suggested for variance parameters in the hierarchical model. The “Non-informative” interval of the conjugate inverse-gamma prior might cause problems. I consider three priors – conjugate inverse-gamma, log-normal and truncated normal for the variance parameters and do the numerical analysis on Gelman’s 8-schools data. Then with the posterior draws, I compare the Bayesian credible intervals of parameters using the three priors. I use predictive distributions to do predictions and then discuss the differences of the three priors suggested.