Bayesian zero-inflated regression model with application to under-five child mortality

Workie, Mekuanint Simeneh; Azene, Abebaw Gedef

doi:10.1186/s40537-020-00389-4

Journal of Big Data

Table 7 Summary statistic of the posterior distribution of the model parameters

From: Bayesian zero-inflated regression model with application to under-five child mortality

Parameter	Bayesian Negative Binomial-logit hurdle (NBLH)
	Count model coefficients			Parameter	Zero hurdle model coefficients
	Mean	SD	HPD of 95% CrI	Parameter	Mean	SD	HPD of 95% CrI
\({\beta }_{0}\)	0.100	0.043	(0.025, 0.193)
\({\beta }_{1}\)	− 3.933	0.712	(− 5.174, − 0.320)	\({\gamma }_{1}\)	− 2.263	0.147	(− 2.559, − 1.982)
\({\beta }_{2}\)	− 0.292	0.049	(− 0.387, − 0.196)	\({\gamma }_{2}\)	− 0.224	0.051	(− 0.324, − 0.124)
\({\beta }_{3}\)	− 0.137	0.081	(− 0.294, 0.023)	\({\gamma }_{3}\)	0.129	0.079	(− 0.028, 0.283)
\({\beta }_{4}\)	− 0.385	0.075	(− 0.534, − 0.239)	\({\gamma }_{4}\)	− 0.212	0.061	(− 0.331, − 0.094)
\({\beta }_{5}\)	− 0.803	0.533	(− 1.988, 0.114)	\({\gamma }_{5}\)	− 1.149	0.228	(− 1.613, − 0.717)
\({\beta }_{6}\)	− 0.044	0.067	(− 0.177, 0.088)	\({\gamma }_{6}\)	− 0.047	0.073	(− 0.192, 0.098)
\({\beta }_{7}\)	− 0.123	0.062	(− 0.246, − 0.002)	\({\gamma }_{7}\)	− 0.071	0.067	(− 0.201, 0.059)
\({\beta }_{8}\)	3.570	0.713	(1.973, 4.845)	\({\gamma }_{8}\)	1.394	0.115	(1.173, 1.628)
\({\beta }_{9}\)	4.735	0.709	(3.144, 6.004)	\({\gamma }_{9}\)	2.782	0.117	(2.556, 3.019)
\({\beta }_{10}\)	0.442	0.115	(0.211, 0.662)	\({\gamma }_{10}\)	0.877	0.176	(0.533, 1.221)
\({\beta }_{11}\)	− 0.182	0.051	(− 0.282, − 0.081)	\({\gamma }_{11}\)	− 0.296	0.062	(− 0.420, − 0.174)
\({\beta }_{12}\)	− 0.346	0.156	(− 0.660, − 0.048)	\({\gamma }_{12}\)	− 0.315	0.132	(− 0.575, − 0.057)
\({\beta }_{13}\)	− 0.310	0.068	(− 0.444, − 0.17)	\({\gamma }_{13}\)	− 0.280	0.060	(− 0.400, − 0.161)
\({\beta }_{14}\)	− 0.185	0.053	(− 0.291, − 0.082)	\({\gamma }_{14}\)	− 0.272	0.051	(− 0.371, − 0.172)

*Intercept (\({\beta }_{0}\)); Mothers age: 30–39 (\({\beta }_{1} \& {\gamma }_{1}\)), 40–49 (\({\beta }_{2} \& {\gamma }_{2}\)); Rural (\({\beta }_{3} \& {\gamma }_{3}\)); education level: Primary and Secondary (\({\beta }_{4} \& {\gamma }_{4}\)) and Higher (\({\beta }_{5} \& {\gamma }_{5}\)); wealth index: Middle (\({\beta }_{6}\&{\gamma }_{6}\)), Rich (\({\beta }_{7}\&{\gamma }_{7}\)); Birth order number: 2–4 (\({\beta }_{8}\&{\gamma }_{8}\)),5 + (\({\beta }_{9}\&{\gamma }_{9}\))3–4 (β₉); twin (\({\beta }_{10}\&{\gamma }_{10}\)); mother’s age at the first birth: 16–25 (\({\beta }_{11}\&{\gamma }_{11}\)), ≥ 26 (\({\beta }_{12}\&{\gamma }_{12}\)); Current contraceptive method of using (\({\beta }_{13}\&{\gamma }_{13}\)); antenatal visits (\({\beta }_{14}\&{\gamma }_{14}\)).

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