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Table 4 Summary statistic of the posterior distribution of the model parameters

From: Bayesian negative binomial logit hurdle and zero-inflated model for characterizing smoking intensity

Para

Bayesian negative binomial-logit hurdle (BNBLH)

Count model coefficients

Para

Zero hurdle model coefficients

Mean

SD

HPD of 95% CrI

OR

 

Mean

SD

HPD of 95% CrI

OR

\(\varnothing \)

0.029

0.016

(0.003, 0.065)

1.029

     

\({\upbeta }_{0}\)

0.869

0.163

(0.558, 1.189)

2.385

\({\upgamma }_{0}\)

−  3.299

0.298

(− 3.902, − 2.753)

0.037

\({\upbeta }_{1}\)

0.026

0.085

(− 0.139, 0.193)

1.026

\({\upgamma }_{1}\)

1.022

0.156

(0.721, 1.334)

2.779

\({\upbeta }_{2}\)

0.090

0.087

(− 0.078, 0.257)

1.094

\({\upgamma }_{2}\)

1.434

0.164

(1.123, 1.766)

4.195

\({\upbeta }_{3}\)

− 0.161

0.073

(− 0.304, − 0.021)

0.851

\({\upgamma }_{3}\)

− 0.709

0.141

(− 0.992, − 0.433)

0.492

\({\upbeta }_{4}\)

− 0.035

0.050

(− 0.133, 0.064)

0.966

\({\upgamma }_{4}\)

0.369

0.102

(0.174, 0.573)

1.446

\({\upbeta }_{5}\)

0.133

0.089

(− 0.041, 0.305)

1.142

\({\upgamma }_{5}\)

− 0.518

0.149

(− 0.812, − 0.223)

0.596

\({\upbeta }_{6}\)

0.223

0.078

(0.075, 0.376)

1.25

\({\upgamma }_{6}\)

− 0.099

0.138

(− 0.366, 0.179)

0.906

\({\upbeta }_{7}\)

0.056

0.067

(− 0.077, 0.188)

1.058

\({\upgamma }_{7}\)

− 0.250

0.134

(− 0.515, 0.007)

0.779

\({\upbeta }_{8}\)

− 0.068

0.070

(− 0.206, 0.064)

0.934

\({\upgamma }_{8}\)

− 0.313

0.131

(− 0.569, − 0.057)

0.731

\({\upbeta }_{9}\)

− 0.080

0.069

(− 0.217, 0.054)

0.923

\({\upgamma }_{9}\)

− 0.887

0.137

(− 1.162, − 0.624)

0.412

\({\upbeta }_{10}\)

0.027

0.094

(− 0.156, 0.209)

1.027

\({\upgamma }_{10}\)

− 0.371

0.181

(− 0.731, − 0.018)

0.69

\({\upbeta }_{11}\)

0.105

0.082

(− 0.050, 0.271)

1.111

\({\upgamma }_{11}\)

− 0.249

0.151

(− 0.547,0.045)

0.780

\({\upbeta }_{12}\)

0.221

0.065

(0.096, 0.349)

1.247

\({\upgamma }_{12}\)

2.121

0.112

(1.908,2.345)

8.339

\({\upbeta }_{13}\)

0.149

0.065

(0.025, 0.279)

1.161

\({\upgamma }_{13}\)

− 0.383

0.128

(− 0.629, − 0.120)

0.682

\({\upbeta }_{14}\)

0.005

0.047

(− 0.088, 0.098)

1.005

\({\upgamma }_{14}\)

− 0.227

0.095

(− 0.410, − 0.041)

0.797

Para

Bayesian zero-inflated negative binomial (BZINB)

Posterior count model coefficients

Para

Posterior zero-inflation model coefficients

Mean

SD

HPD of 95% CrI

OR

Mean

SD

HPD of 95% CrI

OR

\(\varnothing \)

0.029

0.016

(0.003, 0.065)

1.029

\({\upgamma }_{0}\)

3.210

0.302

(2.570, 3.799)

24.78

\({\upbeta }_{0}\)

0.901

0.163

(0.588, 1.215)

2.462

\({\upgamma }_{1}\)

− 1.021

0.156

(− 1.339, − 0.725)

0.360

\({\upbeta }_{1}\)

0.019

0.087

(− 0.154, 0.185)

1.019

\({\upgamma }_{2}\)

− 1.426

0.165

(− 1.767, − 1.110)

0.240

\({\upbeta }_{2}\)

0.083

0.088

(− 0.092, 0.251)

1.087

\({\upgamma }_{3}\)

0.697

0.136

(0.431, 0.965)

2.008

\({\upbeta }_{3}\)

− 0.170

0.075

(− 0.321, − 0.029)

0.844

\({\upgamma }_{4}\)

− 0.378

0.103

(− 0.577, − 0.173)

0.685

\({\upbeta }_{4}\)

− 0.036

0.051

(− 0.135, 0.066)

0.965

\({\upgamma }_{5}\)

0.529

0.152

(0.238, 0.828)

1.697

\({\upbeta }_{5}\)

0.122

0.092

(− 0.053, 0.306)

1.13

\({\upgamma }_{6}\)

0.121

0.143

(− 0.148, 0.408)

1.129

\({\upbeta }_{6}\)

0.213

0.082

(0.059, 0.376)

1.237

\({\upgamma }_{7}\)

0.254

0.132

(− 0.007, 0.514)

1.289

\({\upbeta }_{7}\)

0.053

0.068

(− 0.080, 0.186)

1.054

\({\upgamma }_{8}\)

0.306

0.130

(0.053, 0.563)

1.358

\({\upbeta }_{8}\)

− 0.075

0.069

(− 0.212, 0.059)

0.928

\({\upgamma }_{9}\)

0.889

0.133

(0.625, 1.152)

2.433

\({\upbeta }_{9}\)

− 0.088

0.072

(− 0.233, 0.052)

0.916

\({\upgamma }_{10}\)

0.360

0.191

(− 0.003, 0.748)

1.433

\({\upbeta }_{10}\)

0.011

0.096

(− 0.175, 0.200)

1.011

\({\upgamma }_{11}\)

0.251

0.156

(− 0.050, 0.560)

1.285

\({\upbeta }_{11}\)

0.098

0.082

(− 0.063, 0.261)

1.103

\({\upgamma }_{12}\)

− 2.096

0.113

(− 2.315, − 1.875)

0.123

\({\upbeta }_{12}\)

0.221

0.065

(0.098, 0.353)

1.247

\({\upgamma }_{13}\)

0.406

0.127

(0.151, 0.651)

1.501

\({\upbeta }_{13}\)

0.152

0.071

(0.016, 0.293)

1.164

\({\upgamma }_{14}\)

0.231

0.094

(0.050, 0.413)

1.26

\({\upbeta }_{14}\)

0.004

0.047

(-0.088, 0.098)

1.004

     
  1. Intercept(\({\beta }_{0}\)); age: 25–34 (\({\beta }_{1} \& {\gamma }_{1}\)), =  > 35 (\({\beta }_{2} \& {\gamma }_{2}\)); Rural (\({\beta }_{3} \& {\gamma }_{3}\)); education level(\({\beta }_{4} \& {\gamma }_{4}\)); Religion: Orthodox(\({\beta }_{5} \& {\gamma }_{5}\)), Muslim \({(\beta }_{6} \& {\gamma }_{6})\); Internet \({(\beta }_{7} \& {\gamma }_{7})\); wealth index: Middle(\({\beta }_{8}\&{\gamma }_{8}\)), Rich (\({\beta }_{9}\&{\gamma }_{9}\)); marital status: single(\({\beta }_{10}\&{\gamma }_{10}\)), married(\({\beta }_{11}\&{\gamma }_{11}\)); chewed chat(\({\beta }_{12}\&{\gamma }_{12}\));Occupation(\({\beta }_{13}\&{\gamma }_{13}\)) and media (\({\beta }_{14}\&{\gamma }_{14}\)),\(\varnothing \) is dispersion parameter
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