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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 2.

Percent change from no borrowing in preposterior risk under squared error loss for the specified model. For this scenario the result under no borrowing is equal to (σtr)2/{nd(1-ndn)}=0.0222.

Δtr = 0 Δtr = 0.25 Δtr = 0.5
H = 1 2 3 H = 1 2 3 H = 1 2 3
unif. var. −1 −3 −11 −1 −1 −1 0 1 4
unif. shrink −4 −9 −14 −2 −2 −1 0 3 7
half-Cauchy −4 −14 −21 −1 1 3 1 8 14
unif. sd −3 −14 −21 −1 0 5 1 7 16
inv. gamma −12 −20 −25 −1 4 9 8 20 31

emp. Bayes −13 −17 −22 7 11 20 8 9 16
spike & slab −13 −17 −22 1 5 11 9 10 11
Gamma(1,0.01) −16 −22 −24 0 5 8 25 35 38

homogeneity −19 −28 −32 25 61 86 152 337 475