Figure 3: The marginal posterior of a_{0} under the NPP for increasing effect size
. For each figure, π_{a0}= U (0; 1) (i.e., µ_{a0}= 0.50 and σ_{a0}= .2887), n =
n_{0} = 100, σ^{2}= 1, = 0 and takes on four increasing values: (a) = 0, (b) = 0.10, (c) = 0.25, and (d) = 0.50. As y increases, reflecting increasing disparity between the studies, converges to 0, thus downweighting the historical data. |