3. In Example 5.2 apply a Poisson-gamma relative risk model using the expected deaths Ecpa included in Table 5.2, so that Ycpa ∼ Po(Ecpaμcpa) and μcpa ∼ Ga(α, α), where c =

cancer type, p = place and a = age group. Also apply a fixed effects model with diffuse priors, e.g. μcpa ∼ Ga (0.001, 0.001), and compare inferences on relative risks over the eight cells. Assess sensitivity to alternative priors on α, e.g. α ∼ E(1) vs α ∼ LN(0, 1), where LN denotes log-normal.