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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