Bayesian Approach to Zero-Inflated Bivariate Ordered Probit Regression Model, with an Application to Tobacco Use

Table 6

Posterior mean, standard deviation and 95% credible intervals of parameters from BOP for smoking and chewing tobacco.

Variable	Mean	St. Dev.	2.50%	Median	97.50%
Smoking (𝑦1) equation, (β 1,α 1)
Age/10	1.029	0.095	0.828	1.030
Age square/100	−0.104	0.010	−0.123	−0.105
Education	−0.078	0.014	−0.105	−0.078
Education square	0.002	0.001	0.000	0.002
Income	0.000	0.002	−0.004	0.000
Male	2.066	0.091	1.888	2.067
Married	0.221	0.064	0.093	0.220
Muslim	−0.083	0.049	−0.177	−0.083
Region	0.041	0.043	−0.044	0.041
Urban	−0.091	0.048	−0.186	−0.091
Agriservice	−0.121	0.050	−0.219	−0.122
Self-employed	−0.149	0.087	−0.318	−0.150
Sstudent	−0.720	0.093	−0.905	−0.719
α 12	0.270	0.015	0.241	0.270
α 13	0.956	0.028	0.901	0.956
Chewing (𝑦2) equation, (β 2,α 2)
Age/10	0.797	0.091	0.609	0.801
Age square/100	−0.059	0.010	−0.079	−0.059
Education	−0.023	0.016	−0.055	−0.023
Education square	−0.002	0.001	−0.005	−0.002
Income	0.002	0.003	−0.004	0.002
Male	−0.441	0.074	−0.586	−0.441
Married	−0.010	0.073	−0.153	−0.011
Muslim	−0.077	0.056	−0.187	−0.077
Region	0.430	0.049	0.334	0.430
Urban	−0.082	0.056	−0.193	−0.081
Agriservice	0.078	0.073	−0.067	0.078
Self employed	0.177	0.087	0.010	0.176
Student	−0.715	0.177	−1.070	−0.710
α 22	0.480	0.023	0.436	0.480
ρ 12	−0.178	0.034	−0.244	−0.179

Each equation includes father use and mother use variables as well as a constant term.