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 6 Heidelberger and Welch Stationarity and half-width tests for the Bayesian chains used in the diagnosis of MCMC

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

Count model coefficients
Param	Stationarity Test	P-Value			Half-width test	Mean			Half-width
Param	Stationarity Test	C1	C2	C3	Half-width test	C1	C2	C3	C1	C2	C3
\({\beta }_{0}\)	Passed	0.305	0.895	0.504	Passed	0.101	0.100	0.100	0.002	0.002	0.001
\({\beta }_{1}\)	Passed	0.051	0.746	0.817	Passed	− 3.92	− 3.43	− 4.450	0.550	0.341	0.001
\({\beta }_{2}\)	Passed	0.546	0.855	0.545	Passed	− 0.292	− 0.292	0.292	0.001	0.001	0.008
\({\beta }_{3}\)	Passed	0.382	0.955	0.953	Passed	− 0.140	− 0.138	− 0.133	0.007	0.006	0.002
\({\beta }_{4}\)	Passed	0.095	0.082	0.276	Passed	− 0.385	− 0.385	− 0.385	0.002	0.002	0.011
\({\beta }_{5}\)	Passed	0.972	0.464	0.562	Passed	− 0.810	− 0.804	− 0.794	0.012	0.011	0.002
\({\beta }_{6}\)	Passed	0.611	0.726	0.706	Passed	− 0.004	− 0.005	− 0.042	0.002	0.002	0.003
\({\beta }_{7}\)	Passed	0.128	0.820	0.980	Passed	− 0.125	− 0.124	− 0.121	0.003	0.003	0.003
\({\beta }_{8}\)	Passed	0.071	0.714	0.770	Passed	3.56	3.07	4.084	0.581	0.365	0.189
\({\beta }_{9}\)	Passed	0.856	0.709	0.844	Passed	4.89	4.23	5.248	0.298	0.340	0.197
\({\beta }_{10}\)	Passed	0.260	0.991	0.499	Passed	0.443	4.43	0.440	0.003	0.002	0.003
\({\beta }_{11}\)	Passed	0.132	0.051	0.400	Passed	− 0.185	− 0.184	− 0.118	0.001	0.002	0.002
\({\beta }_{12}\)	Passed	0.570	0.308	0.497	Passed	− 0.345	− 0.349	− 0.345	0.004	0.004	0.004
\({\beta }_{13}\)	Passed	0.105	0.108	0.265	Passed	− 0.309	− 0.310	− 0.310	0.002	0.002	0.002
\({\beta }_{14}\)	Passed	0.279	0.820	0.178	Passed	− 0.185	− 0.185	− 0.186	0.001	0.001	0.001
Zero hurdle model coefficients (binomial with logit link)
\({\gamma }_{1}\)	Passed	0.978	0.067	0.462	Passed	− 2.26	− 2.27	− 2.26	0.024	0.022	0.021
\({\gamma }_{2}\)	Passed	0.274	0.589	0.819	Passed	− 0.224	− 2.24	− 0.22	0.002	0.002	0.002
\({\gamma }_{3}\)	Passed	0.829	0.066	0.951	Passed	0.132	1.3	0.123	0.007	0.007	0.006
\({\gamma }_{4}\)	Passed	0.445	0.072	0.585	Passed	− 0.213	− 2.09	− 0.213	0.002	0.002	0.002
\({\gamma }_{5}\)	Passed	0.368	0.232	0.257	Passed	− 1.15	− 1.15	− 1.15	0.006	0.006	0.005
\({\gamma }_{6}\)	Passed	0.397	0.300	0.116	Passed	− 0.005	− 4.67	− 0.046	0.002	0.002	0.001
\({\gamma }_{7}\)	Passed	0.991	0.221	0.831	Passed	− 0.007	− 7.14	− 0.072	0.004	0.004	0.004
\({\gamma }_{8}\)	Passed	0.728	0.092	0.407	Passed	1.39	1.40	1.393	0.013	0.013	0.0134
\({\gamma }_{9}\)	Passed	0.654	0.143	0.333	Passed	2.78	2.79	2.782	0.014	0.014	0.013
\({\gamma }_{10}\)	Passed	0.828	0.176	0.246	Passed	0.872	0.879	0.877	0.004	0.004	0.004
\({\gamma }_{11}\)	Passed	0.874	0.100	0.108	Passed	− 0.297	− 0.295	− 0.295	0.004	0.003	0.004
\({\gamma }_{12}\)	Passed	0.958	0.250	0.114	Passed	− 0.316	− 0.318	− 0.316	0.005	0.005	0.004
\({\gamma }_{13}\)	Passed	0.514	0.752	0.274	Passed	− 0.280	− 0.279	− 0.281	0.002	0.001	0.002
\({\gamma }_{14}\)	Passed	0.715	0.896	0.462	Passed	− 0.271	− 0.272	− 0.27	0.001	0.001	0.002

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