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Table 6 Summary statistic of the posterior distribution of the model parameters

From: Bayesian count regression analysis for determinants of antenatal care service visits among pregnant women in Amhara regional state, Ethiopia

Parameters Mean (\(\hat{\upbeta }\)) Sd MC error Median HPD credible intervals
Lower (2.5%) Upper (97.5%)
Count model coefficients
 β1 (Intercept) 1.011 0.1795 0.001676 1.014 0.6536 1.358
Sign of pregnancy (reference-no)
 β2 (Sign1) − 0.4264 0.1555 0.001374 − 0.429 − 0.722 − 0.12
Utilization of media (reference-no use of media)
 β3 (Media1) − 0.4594 0.1013 3.44E−4 − 0.459 − 0.658 − 0.260
Mothers’ education (reference -no education)
 β4 (M.educ1) 0.257 0.1074 5.37E−4 0.257 0.046 0.4664
Wealth index (reference-poor)
 β5 (WI2) − 0.6421 0.1134 4.49E−4 − 0.642 − 0.864 − 0.42
 β6 (WI3) − 0.2698 0.1181 4.47E−4 − 0.269 − 0.502 − 0.039
Area of residence (reference-urban)
 β7 (Resid2) 0.3495 0.09945 3.65E−4 0.35 0.153 0.543
Zero-inflation coefficients
 α1 (Intercept) 0.755 0.196 0.0042 0.7596 0.361 1.126
Sign of pregnancy (reference-no)
 α2 (Sign1) − 0.227 0.172 0.0037 − 0.23 − 0.548 0.1259
Utilization of media (reference-no use of media)
 α3 (Media1) − 0.335 0.130 0.0022 − 0.34 − 0.585 − 0.082
Mothers’ education (reference-no education)
 α4 (M.educ1) − 0.608 0.148 0.003 − 0.6046 − 0.9153 − 0.330
Wealth index (reference-poor)
 α5 (WI2) − 0.517 0.137 0.002 − 0.52 − 0.787 − 0.25
 α6 (WI3) 0.04589 0.181 0.004 0.03645 − 0.277 0.4431
Area of residence (reference-urban)
 α7 (Resid2) 0.124 0.1292 0.002307 0.2392 0.116 0.3623