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Table 2 Estimated summary statistics and the 95% Bayesian credible intervals of parameters based on all four models

From: Treatment-seeking behaviour in low- and middle-income countries estimated using a Bayesian model

Model Estimate a b c α β Corr (α, β)
M1 Mean 0.704 0.807 0.340 −0.084 −0.098 -
Median 0.556 0.850 0.326 −0.087 −0.112 -
95% CI [0.016–2.194] [-1.044–2.346] [0.1554–0.597] [-0.682–0.523] [-0.439–0.394] -
Gelman-Rubin Convergence estimate 1.000 1.000 1.000 1.000 1.000 -
Gelman-Rubin Convergence upper CI 1.000 1.010 1.000 1.000 1.030 -
M2 mean 0.784 1.060 0.352 −0.080 −0.123 -
median 0.654 0.978 0.344 −0.081 −0.121 -
95% CI [0.042–2.243] [0.100–2.452] [0.172–0.572] [-0.661–0.518] [-0.417–0.218] -
Gelman-Rubin Convergence estimate 1.001 1.000 1.001 1.001 1.020 -
Gelman-Rubin Convergence upper CI 1.010 1.000 1.000 1.000 1.040 -
M3 mean 0.789 0.977 0.376 −0.582 −0.140 -
median 0.660 0.895 0.372 −0.581 −0.150 -
95% CI [0.046–2.225] [0.055–2.423] [0.176–0.597] [-2.208–1.069] [-0.434–0.248] -
Gelman-Rubin Convergence estimate 1.000 1.000 1.000 1.000 1.000 -
Gelman-Rubin Convergence upper CI 1.000 1.000 1.000 1.000 1.000 -
M4 mean 0.870 1.003 0.313 −0.133 −0.008 −0.011
median 0.768 0.912 0.311 −0.152 −0.012 0.006
95% CI [0.059–2.244] [0.063–2.477] [0.095–0.527] [-0.665–0.501] [-0.880–0.873] [-0.957–0.952]
Gelman-Rubin Convergence estimate 1.000 1.000 1.000 1.010 1.000 1.010
Gelman-Rubin Convergence upper CI 1.000 1.000 1.010 1.040 1.000 1.050
  1. M1 and M2 use a fixed parameter specification for α and β using normal priors but different priors for item parameters, M3 allows random intercepts only, and M4 is both a random slope and intercepts model. Only M4 include a measure of correlation between the multi-level regression parameters