Noninformative priors for the between-group variance in the unbalanced one-way random effects model with heterogeneous error variances.

Autor: Kim, Dal Ho, Lee, Woo Dong, Kang, Sang Gil, Kim, Yongku
Předmět:
Zdroj: Journal of Statistical Computation & Simulation; Jul2019, Vol. 89 Issue 10, p1935-1956, 22p
Abstrakt: For the unbalanced one-way random effects model with heterogeneous error variances, we propose the non-informative priors for the between-group variance and develop the first- and second-order matching priors. It turns out that the second-order matching priors do not exist and the reference prior and Jeffreys prior do not satisfy a first-order matching criterion. We also show that the first-order matching prior meets the frequentist target coverage probabilities much better than the Jeffreys prior and reference prior through simulation study, and the Bayesian credible intervals based on the matching prior and reference prior give shorter intervals than the existing confidence intervals by examples. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index