Bayesian Inference of a Multivariate Regression Model

Table 3

Posterior standard deviations for .

	VOCAB	READ	MATH 1	MATH 2	SCI	WRITE	CIVIC
(Intercept)	0.4421	0.4482	0.4195	0.4585	0.4383	0.4201	0.4678
GPA	0.0920	0.0930	0.0872	0.0951	0.0913	0.0874	0.0972
School type 1	0.4327	0.4379	0.4102	0.4483	0.4297	0.4110	0.4568
School type 2	0.7111	0.7199	0.6736	0.7352	0.7047	0.6761	0.7518
School type 3	0.2797	0.2823	0.2651	0.2902	0.2773	0.2662	0.2954
School type 5	0.2561	0.2589	0.2428	0.2659	0.2540	0.2438	0.2707
School type 6	0.3358	0.3392	0.3185	0.3480	0.3327	0.3193	0.3553
School type 7	0.6116	0.6187	0.5786	0.6331	0.6054	0.5806	0.6452
School type 8	0.5164	0.5229	0.4901	0.5359	0.5125	0.4912	0.5457
School type 9	0.4171	0.4222	0.3963	0.4325	0.4138	0.3972	0.4414
Urban 2	0.1864	0.1882	0.1764	0.1927	0.1844	0.1769	0.1964
Urban 3	0.2135	0.2158	0.2020	0.2206	0.2114	0.2027	0.2253
Region 2	0.3623	0.3672	0.3441	0.3759	0.3593	0.3438	0.3825
Region 3	0.3706	0.3759	0.3520	0.3848	0.3681	0.3524	0.3915
Region 4	0.4512	0.4574	0.4286	0.4678	0.4480	0.4290	0.4774
Region 5	0.3877	0.3928	0.3681	0.4020	0.3850	0.3686	0.4097
Region 6	0.3538	0.3587	0.3358	0.3669	0.3513	0.3365	0.3743
Region 7	0.4056	0.4103	0.3846	0.4208	0.4022	0.3858	0.4286
Region 8	0.4647	0.4709	0.4411	0.4819	0.4614	0.4426	0.4917
Region 9	0.3783	0.3830	0.3586	0.3925	0.3753	0.3598	0.3998
Gender 2	0.1421	0.1436	0.1347	0.1470	0.1411	0.1351	0.1500
Race 2	0.5944	0.6018	0.5630	0.6159	0.5897	0.5652	0.6273
Race 3	0.4938	0.4996	0.4679	0.5114	0.4903	0.4692	0.5216
Race 4	0.2599	0.2639	0.2467	0.2697	0.2579	0.2470	0.2752
Race 5	0.2061	0.2085	0.1952	0.2136	0.2042	0.1959	0.2175
Race 6	1.2666	1.2806	1.1995	1.3091	1.2548	1.2040	1.3359