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. Author manuscript; available in PMC: 2014 May 2.
Published in final edited form as: Bayesian Anal. 2012 Aug 28;7(3):639–674. doi: 10.1214/12-BA722

Table 3.

Preposterior bias for the specified model: Inline graphic{ Inline graphic(λ)}− λtr

Δtr = 0 Δtr = 0.25 Δtr = 0.5
H = 1 2 3 H = 1 2 3 H = 1 2 3
unif. var. 0.00 0.00 0.00 0.00 0.00 0.02 0.00 0.01 0.02
unif. shrink 0.00 0.00 0.00 0.01 0.02 0.03 0.01 0.02 0.03
half-Cauchy 0.00 0.00 0.00 0.01 0.03 0.04 0.01 0.03 0.04
unif. sd 0.00 0.00 0.00 0.01 0.03 0.05 0.01 0.02 0.04
inv. gamma 0.00 0.00 0.00 0.03 0.05 0.07 0.03 0.05 0.07

emp. Bayes 0.00 0.00 0.00 0.03 0.04 0.05 0.02 0.02 0.03
spike & slab 0.00 0.00 0.00 0.03 0.03 0.04 0.02 0.02 0.02
Gamma(1,0.01) 0.00 0.00 0.00 0.05 0.06 0.07 0.07 0.08 0.08

homogeneity 0.00 0.00 0.00 0.10 0.14 0.17 0.19 0.28 0.34