Table 4. Similar to Table 3, but for the hazard ratio (HR) as the effect measure.

Prior on τ	Uniform prior	Half-normal prior	Inverse gamma prior	DuMouchel prior
Overall effect exp(μ)
Prior distribution	μ~N(0,100)	μ~N(0,100)	μ~N(0,100)	μ~N(0,100)
Posterior median	0.54	0.55	0.55	0.55
Standard deviation	0.20	0.11	0.17	0.16
95% HPDI	[0.25,1.04]	[0.38,0.80]	[0.27,0.87]	[0.30,0.92]
Between-study variance τ2
Prior distribution	τ~U(0,2)	τ~HN(0,0.25)	${\tau }^{-2}~\mathcal{G}\left(0.001,0.001\right)$	$P\left(\tau \right)=\frac{s_0}{{\left(s_0+\tau \right)}^2}$
Posterior median	0.49	0.0649	0.1914	0.1886
Standard deviation	0.7251	0.1111	0.658	0.5987
95% HPDI	[0.0198,2.842]	[0.0002,0.4019]	[0.0012,2.076]	[0.0004,1.822]