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Prior distributions for variance parameters in ...
Bayesian Analysis (2006)1, Number 3, pp. 515 533 Prior distributions for variance parameters inhierarchical modelsAndrew GelmanDepartment of Statistics and Department of Political ScienceColumbia noninformative Prior distributions have been suggested forscale parameters in hierarchical models. We construct a newfolded-noncentral-tfamily of conditionally conjugate priors for hierarchicalstandard deviation pa-rameters, and then consider noninformative and weakly informative priors in thisfamily. We use an example to illustrate serious problems with the inverse-gammafamily of noninformative Prior distributions .
butions, including uniform and inverse-gamma families, in the context of an expanded conditionally-conjugate family. We propose a half-t model and demonstrate its use as a weakly-informative prior distribution and as a component in a hierarchical model of variance parameters. 1.1 The basic hierarchical model
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