Bayesian Inference of a Multivariate Regression Model

Table 1

Categorical explanatory variable descriptions.

Categorical variables	Levels	Level description	Students per level
School type	School type 0	Regular public	9534
	School type 1	Alternative	437
	School type 2	Cuban/Hispanic public	156
	School type 3	Other Hispanic public	1483
	School type 5	Regular catholic	1341
	School type 6	Black catholic	758
	School type 7	Cuban/Hispanic catholic	216
	School type 8	Private elite	294
	School type 9	Private nonelite	448
Urbanization	Urban 1	Urban	3451
	Urban 2	Suburban	7325
	Urban 3	Rural	3891
Geographic region	Region 1	New England	736
	Region 2	Middle Atlantic	2518
	Region 3	South Atlantic	2178
	Region 4	East South Central	713
	Region 5	West South Central	1750
	Region 6	East North Central	2931
	Region 7	West North Central	1128
	Region 8	Mountain	696
	Region 9	Pacific	2017
Race	Race 1	Hispanic/Spanish	3122
	Race 2	American Indian/Alaskan native	224
	Race 3	Asian/Pacific Islander	345
	Race 4	Black	2050
	Race 5	White	8880
	Race 6	Other	46
Gender	Gender 1	Male	7265
	Gender 2	Female	7402