Quantile regression for overdispersed count data: a hierarchical method

Journal of Statistical Distributions and Applications

Table 5 Estimated regression coefficients

Posterior summary by quantile and model
		Model 1			Model 2
	Quantile	Mean	2.5%	97.5%	Mean	2.5%	97.5%
Intercept	0.05	−0.238	−0.280	−0.195	−0.281	−0.324	−0.230
	0.50	−0.086	−0.139	−0.035	−0.113	−0.174	−0.053
	0.95	0.074	0.029	0.128	0.076	0.019	0.131
Deprivation	0.05	1.062	1.039	1.088	1.203	1.132	1.285
	0.50	1.085	1.053	1.116	1.162	1.082	1.248
	0.95	1.110	1.079	1.143	1.103	1.022	1.181
Satisfied Opening Hours	0.05	−0.039	−0.104	0.037	−0.069	−0.156	0.014
	0.50	0.022	−0.056	0.103	0.021	−0.062	0.104
	0.95	0.145	0.076	0.212	0.143	0.069	0.217
Positive Overall Experience	0.05	−0.450	−0.519	−0.382	−0.429	−0.501	−0.356
	0.50	−0.435	−0.509	−0.359	−0.433	−0.511	−0.356
	0.95	−0.455	−0.535	−0.388	−0.454	−0.534	−0.386
Differential Intercept	Quantile	Mean	2.5%	97.5%	Mean	2.5%	97.5%
Midlands and East of England	0.05	0.089	0.075	0.105	0.131	0.096	0.172
	0.50	0.087	0.071	0.103	0.108	0.073	0.146
	0.95	0.092	0.076	0.106	0.078	0.042	0.113
North Of England	0.05	0.199	0.181	0.216	0.263	0.229	0.298
	0.50	0.198	0.182	0.213	0.244	0.208	0.282
	0.95	0.203	0.188	0.218	0.223	0.186	0.256
South of England	0.05	−0.004	−0.021	0.012	0.041	0.002	0.078
	0.50	−0.009	−0.026	0.007	0.007	−0.029	0.044
	0.95	−0.006	−0.023	0.009	−0.023	−0.062	0.009
Differential Deprivation Slope	Quantile	Mean	2.5%	97.5%	Mean	2.5%	97.5%
Midlands and East of England	0.05				−0.125	−0.223	−0.041
	0.50				−0.062	−0.162	0.036
	0.95				0.048	−0.061	0.147
North Of England	0.05				−0.176	−0.264	−0.095
	0.50				−0.128	−0.224	−0.037
	0.95				−0.049	−0.137	0.055
South of England	0.05				−0.131	−0.236	−0.021
	0.50				−0.031	−0.140	0.076
	0.95				0.081	−0.025	0.205