Table 2.

Prior distributions and model hierarchy

Parameters	Normal$\mathbf{(}\mathit{a}\mathbf{,}{\mathit{b}}^{\mathbf{2}}\mathbf{)}$		Inv-Gamma(p, q)
	a	b	p	q
Reference incidences (11)
${\alpha }_{s,u}$	-2	10	–	–
Effects of intervention
Silo-specific (12)
${\mu }_{s,d_{\mathit{kj}}}$	0	1	–	–
${\tau }_{s,d_{\mathit{kj}}}^2$	–	–	1	1/16
Subdomain-fixed (13)
${\mu }_{d_{\mathit{kj}}}$	0	1	–	–
${\tau }_{d_{\mathit{kj}}}^2$	–	–	1	1/16
Subdomain-exchangeable (14)
${\tau }_{u,d_{\mathit{kj}}}^2$	–	–	1/10	1/400
${\xi }_{d_{\mathit{kj}}}$	0	1	–	–
${\upsilon }_{d_{\mathit{kj}}}^2$	–	–	1	1/16
Effects of domain eligibility (15)
${\gamma }_{D_k}$	0	1	–	–
Effects of two-way interactions (16)
${\psi }_{s,u,d_{\mathit{kj}},d_{k^{\prime }j}}$	0	1	–	–
Effects of regions and countries (17), (18)
${\delta }_r$	0	10	–	–
${\tau }_r^2$	–	–	1	1/16
Effects of covariates (19)
${\theta }_{Z_k,z_k}$	0	10	–	–
Effects of epoch (20)
${\tau }_t^2$	–	–	1/4	1/10

In-text priors are cross-referenced by the first column parentheses