**Figure 1:** as a function of σ_{a0} under the Ibrahim and Chen (IC) power
prior for a normal model with unknown mean and known variance. Current
data sample sizes are (a) n = 1, (b) n = 2, (c) n = 10 and (d) n = 100. Each plot
presents trends when the historical sample size (n0) is infl ated by factors of
1 (solid), 2 (dashed) and 5 (dotted). In each plot, identical observations were
used for both D and D0 (replicates were used to infl ate D0). U [0,1] corresponds
to the value 0.2887, the standard deviation for a uniform (0,1) random variable.
As the fi gures indicate, for n = 10,decreases as σ_{a0} increases,
effectively excluding D_{0}. |