Table 2 Posterior median and 95% credible intervals of the between-study standard deviation and correlation parameters
Parameter | Description/prior distribution | Model 1: univariate | Model 2a: Multivariate using inverse-Wishart prior distribution for Σ(M × M) | Model 2b: Multivariate using a separation strategy to specify priors for elements of Σ(M × M) | Model 3: Multivariate with extrapolation of effects across outcomes |
|---|---|---|---|---|---|
σ 1 | Between-study standard deviation: safe storage of medicines | 0.26 (0.03, 1.02) | 0.58 (0.33, 1.18) | 0.27 (0.01, 1.08) | 0.23 (0.01, 0.80) |
σ 2 | Between-study standard deviation: safe storage of other household products | 0.56 (0.13, 1.27) | 0.62 (0.35, 1.15) | 0.47 (0.04, 1.18) | 0.31 (0.01, 0.81) |
σ 3 | Between-study standard deviation: PCC | 1.16 (0.57, 1.93) | 0.94 (0.53, 1.99) | 1.18 (0.57, 1.93) | 1.08 (0.58, 1.85) |
τ | Primary analysis: τ ~Uniform (0, 2) | - | - | - | 0.10 (0.01, 0.53) |
τ | Sensitivity analysis: τ ~ Normal (0, 102), τ ≥ 0 | - | - | - | 0.11 (0.00, 0.56) |
τ | Sensitivity analysis: τ 2 ~ Inverse − Gamma (0.001, 0.001) | - | - | - | 0.08 (0.02, 0.36) |
ρ 12 | Between-study correlation [medicines, other household products] | - | 0.03 (−0.73, 0.76) | 0.05 (−1.00, 1.00) | 0.45 (−0.99, 1.00) |
ρ 13 | Between-study correlation [medicines, PCC] | - | 0.06 (−0.80, 0.81) | 0.20 (−1.00, 1.00) | 0.50 (−0.98, 1.00) |
ρ 23 | Between-study correlation [Other household products, PCC] | - | 0.08 (−0.81, 0.83) | 0.13 (−0.97, 0.98) | 0.60 (−0.87, 0.99) |