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

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

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

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

ISSN: 1471-2288