## Model

model{
	for( i in 1:6641) {
	income[i] ~ dnorm(mu[i], tau)
	mu[i] <- beta0 + beta1*educ[i] + beta2*age[i] + beta3*race[i]
	}
	
## Priors
	#beta0 ~ dflat()
	#beta1 ~ dflat()
	#beta2 ~ dflat()
	#beta3 ~ dflat()
## "Hypothesized" Priors
	beta0 ~ dnorm(3, 0.1)
	beta1 ~ dnorm(0.3, 0.1)
	beta2 ~ dnorm(0.01,0.5)
	beta3 ~ dnorm(0, 0.1)
	
	tau ~ dgamma(0.1,0.1)
	sigma <- 1/sqrt(tau)
	}
	

## Data set
## DelMas Lab to Examine Income as a function of Education, Age, and Race

list(N = 6641)
income[]	educ[]	age[]	race[]
12	16	40	0
11	16	29	0
10	17	25	0
12	17	48	0
9	12	27	0
12	13	27	1
11	14	24	0
3	6	50	1
12	10	24	1
9	14	27	1
11	16	30	0
11	16	31	0
10	12	24	0
2	12	24	0
12	16	29	0
11	12	28	0
11	14	32	1
12	19	35	0
11	16	38	0
12	12	36	0
11	14	58	0
12	9	55	0
11	12	42	0
11	16	34	2
9	12	25	0
12	5	43	0
12	16	37	0
12	16	31	0
12	12	43	0
10	16	22	0
11	10	37	0
12	16	37	0
12	18	41	0
10	20	30	0
9	14	38	1
10	14	22	1
12	12	47	1
12	18	38	0
12	10	53	0
12	16	40	0
11	14	39	0
10	14	25	0
11	16	25	0
12	18	33	0
11	15	28	0
12	13	43	0
9	11	30	0
9	12	40	0
2	12	68	0
12	12	66	0
9	15	35	0
12	16	41	1
12	15	47	1
10	14	25	1
12	15	29	1
12	12	21	0
12	19	30	2
5	12	20	0
12	18	31	0
9	15	58	0
8	11	20	0
12	16	30	0
11	13	28	0
10	13	67	0
6	18	26	2
12	16	41	2
12	15	48	0
11	14	28	2
11	16	29	0
12	17	52	2
6	19	41	0
9	16	28	0
7	14	43	2
9	16	33	0
9	14	33	1
10	12	65	1
8	9	52	1
11	15	24	1
10	9	45	1
9	10	36	1
10	12	43	1
2	12	28	1
11	13	36	1
9	18	36	0
12	16	35	0
12	14	56	0
12	19	40	0
7	14	42	0
5	19	36	2
9	11	47	0
12	12	43	0
12	14	32	0
9	10	31	0
12	12	30	0
11	12	34	0
2	11	21	1
1	7	54	1
1	11	19	0
11	12	42	0
2	12	30	0
11	12	35	0
8	12	41	0
12	15	41	0
1	9	52	0
9	15	26	0
11	19	51	0
9	13	43	0
11	14	25	0
10	12	49	0
9	12	20	0
9	12	42	0
12	14	48	0
9	12	31	0
11	12	34	1
12	16	48	1
12	8	49	0
11	12	52	0
2	13	41	0
3	16	44	0
12	18	42	0
12	16	35	0
3	12	19	0
3	11	18	0
2	16	31	0
12	16	40	0
12	17	25	1
12	13	38	1
9	14	25	0
5	13	35	1
6	13	34	1
9	5	36	0
11	13	26	0
12	11	44	0
12	14	56	1
5	6	23	2
9	17	35	0
12	14	37	1
11	3	59	0
12	14	36	0
10	12	26	0
12	16	41	0
12	12	32	0
11	14	26	0
12	12	34	0
3	12	24	1
9	15	31	1
12	14	31	0
7	16	25	0
12	18	44	0
12	19	35	0
12	16	30	0
9	20	32	0
12	16	35	0
10	14	35	1
12	14	24	0
12	20	42	1
5	14	23	0
12	13	60	0
12	16	46	0
12	14	37	0
4	12	23	0
1	12	23	2
9	12	29	0
9	14	28	0
10	11	41	0
12	12	26	0
7	16	25	0
12	14	26	2
11	13	34	0
11	16	27	0
11	18	25	0
12	12	60	0
10	4	45	0
12	16	26	0
9	16	23	0
7	14	31	0
11	14	25	0
12	16	50	0
12	14	62	0
10	12	50	0
12	16	29	0
9	16	24	0
10	14	50	0
10	12	23	0
12	20	45	0
1	11	18	0
7	12	44	1
12	16	30	1
7	12	25	1
5	11	26	1
12	20	48	0
12	12	47	0
10	12	24	0
2	11	67	1
3	6	76	0
3	8	67	1
12	18	56	0
12	20	57	0
12	20	37	0
12	18	35	0
12	18	68	0
12	12	60	0
9	17	30	0
12	20	41	0
12	15	45	0
12	16	25	0
10	12	39	0
12	12	53	0
11	14	42	1
12	14	32	1
3	12	64	0
10	12	64	0
10	13	40	0
9	12	51	0
12	15	36	0
9	10	32	0
12	18	41	0
9	12	24	0
3	12	63	0
2	18	52	0
12	13	52	0
12	12	60	0
8	18	32	0
2	12	19	0
11	12	45	0
11	7	42	0
11	9	40	0
9	16	51	0
10	7	66	0
6	12	25	0
9	14	28	1
12	16	44	2
11	11	44	0
12	12	38	0
11	12	45	0
12	14	35	0
4	12	54	0
9	20	38	1
10	12	33	1
9	12	38	0
10	14	25	1
11	12	34	0
12	16	38	0
6	9	49	0
9	11	35	1
9	12	31	1
12	18	55	1
10	9	28	0
6	16	43	1
2	8	19	1
3	5	47	0
10	13	41	0
12	14	43	0
12	14	52	0
11	12	38	0
12	14	40	0
9	12	26	0
9	12	45	0
10	13	39	0
12	18	63	0
3	12	30	0
11	13	44	0
3	14	41	0
12	13	56	0
10	12	53	0
7	12	68	0
9	18	44	0
1	12	33	0
12	17	39	0
3	18	47	0
11	14	33	0
10	18	33	0
1	12	42	0
12	18	45	0
11	12	38	0
10	14	35	0
12	12	62	0
12	16	53	1
12	12	40	1
12	18	46	1
3	12	38	1
10	11	48	1
11	16	62	0
2	17	37	0
12	12	38	0
5	12	49	1
10	12	37	1
2	12	22	1
4	13	27	1
12	14	40	1
12	14	38	1
2	12	31	0
9	12	36	0
10	12	31	0
12	8	51	0
12	13	25	2
11	15	33	1
11	15	43	0
11	17	30	1
11	12	29	1
2	12	44	1
12	4	47	1
12	16	60	0
3	12	24	1
9	13	35	0
4	12	35	0
9	14	22	0
8	12	25	0
12	12	61	0
9	16	31	0
12	13	24	0
12	12	44	0
11	12	58	0
11	14	45	0
12	12	50	0
12	18	39	0
2	13	21	0
12	20	45	0
10	16	25	0
12	19	40	0
12	10	58	1
3	15	27	1
10	12	34	1
12	16	30	0
11	12	33	0
12	16	42	0
12	20	50	2
8	10	25	0
9	16	40	1
10	11	51	1
7	12	42	1
10	12	44	0
7	12	58	1
11	12	47	0
8	12	54	0
12	14	58	0
12	16	47	0
9	12	31	0
5	13	42	0
9	12	21	0
12	18	39	0
12	16	37	0
12	16	60	0
12	15	39	0
12	13	48	0
12	18	33	2
1	12	27	0
11	13	27	0
12	12	30	0
4	12	21	0
12	10	26	0
9	11	45	0
10	12	23	0
7	14	34	0
12	12	27	0
9	13	61	0
4	13	29	0
11	12	27	2
11	12	32	0
6	12	36	0
9	12	26	0
12	16	37	0
8	13	26	0
11	12	43	0
11	14	25	0
8	12	35	0
9	12	31	0
11	13	59	0
11	12	32	1
3	17	69	0
2	13	67	0
11	15	42	0
11	12	45	0
2	12	49	0
3	11	19	0
12	12	55	0
3	12	57	0
12	10	37	0
12	12	53	0
11	12	37	0
9	13	21	0
11	12	39	0
11	16	28	0
10	15	31	0
10	12	22	0
12	16	46	1
12	12	70	0
10	15	29	1
9	9	19	0
12	14	20	0
10	12	43	1
9	15	32	1
12	14	26	0
12	14	29	0
10	12	41	0
9	12	29	0
8	12	22	0
9	12	32	0
11	16	28	0
10	9	38	0
9	12	40	0
11	12	31	0
10	16	34	0
8	14	43	1
9	11	49	0
12	16	66	0
12	12	28	0
7	11	30	1
1	11	49	1
9	12	21	1
12	12	61	0
12	18	52	0
12	12	37	0
12	12	43	0
5	8	68	0
1	12	30	0
9	10	59	1
4	14	21	0
11	16	27	0
1	13	23	0
9	12	38	0
12	12	31	0
12	12	40	0
12	19	58	0
11	13	38	0
12	12	40	0
1	15	22	0
1	9	63	0
2	12	22	0
12	16	46	0
7	13	55	2
12	17	28	0
12	12	31	0
10	12	26	0
11	17	30	0
9	14	28	0
12	15	33	0
11	12	49	0
11	13	58	0
12	20	31	0
3	15	23	0
10	13	35	1
10	16	26	0
12	12	55	0
12	16	36	0
1	12	36	0
2	12	20	0
11	14	23	0
3	12	64	0
9	12	35	0
9	16	43	0
12	18	48	0
12	12	44	0
12	12	54	0
7	16	32	1
9	13	35	0
10	12	27	0
9	15	38	0
9	18	29	1
12	17	58	0
4	12	46	0
12	14	43	0
9	12	59	0
9	16	39	0
11	16	45	0
12	20	42	0
7	12	34	1
9	13	34	1
5	10	58	0
10	13	56	0
7	8	51	2
2	14	29	1
6	12	23	1
12	14	51	0
9	14	21	0
3	12	34	0
10	12	22	0
12	16	65	0
12	20	60	0
12	17	38	0
12	16	55	1
9	11	20	0
3	13	22	0
3	11	22	0
8	6	54	0
12	8	56	1
10	10	53	1
12	17	38	0
12	19	31	0
11	8	62	0
2	12	59	0
2	10	33	0
5	11	47	0
1	17	25	0
9	12	26	0
10	14	45	0
12	14	27	0
10	16	67	0
11	10	51	0
10	4	60	0
11	15	44	1
1	7	61	1
12	16	60	0
10	12	34	0
12	16	50	0
4	13	20	0
12	15	59	0
9	13	78	0
9	9	27	0
12	14	26	0
2	10	42	0
2	9	45	0
11	16	26	0
2	13	66	0
8	12	50	0
1	14	65	0
6	10	24	0
9	16	50	0
12	12	45	0
12	11	45	0
12	14	45	0
6	12	35	0
12	15	41	0
12	14	43	0
1	11	21	0
9	10	28	0
9	11	30	0
7	13	38	0
3	11	28	0
11	10	42	0
9	10	25	0
11	14	33	0
4	4	64	0
9	12	35	0
10	13	44	0
11	12	42	0
11	16	34	0
12	12	55	0
8	13	26	0
2	10	32	0
4	12	28	1
5	7	44	0
7	11	21	0
2	9	23	0
11	14	39	0
8	7	25	0
11	10	36	0
11	12	31	0
1	12	23	0
12	12	53	0
3	14	44	0
8	9	56	0
4	7	75	0
12	14	37	1
5	11	25	1
9	12	37	0
6	14	28	0
12	12	41	0
11	16	46	0
9	12	64	0
9	14	43	0
10	16	60	0
11	20	35	0
7	10	56	1
4	15	22	0
6	10	49	0
1	12	64	0
9	13	39	0
1	9	78	0
11	19	26	0
5	8	61	0
11	12	56	0
3	12	61	0
10	12	51	0
7	10	32	0
9	11	28	0
10	14	40	0
12	14	42	0
11	14	55	0
11	12	27	0
5	11	27	0
3	12	52	0
10	16	42	0
8	12	19	1
9	16	28	0
9	14	25	1
3	9	61	0
12	12	58	1
12	20	62	0
9	13	22	0
12	18	45	0
12	20	31	0
12	16	30	0
6	5	63	0
9	8	68	0
12	16	32	0
8	18	34	0
9	12	34	1
9	14	39	0
12	12	45	0
5	16	35	0
12	16	41	2
12	14	35	0
12	12	45	0
10	16	41	0
10	13	55	0
12	13	45	0
12	12	58	0
12	12	51	0
10	11	66	0
12	14	74	0
10	9	60	0
8	11	65	0
9	14	37	0
12	12	42	0
5	11	22	0
10	10	28	0
12	14	30	1
10	12	41	0
10	14	30	1
3	16	24	0
12	16	48	0
9	12	49	0
5	12	41	0
2	14	28	0
9	14	55	1
8	14	40	0
2	9	58	0
11	16	38	0
12	11	37	0
12	14	36	0
2	11	20	2
1	12	36	0
12	14	27	0
9	13	25	2
8	8	64	0
3	15	29	0
10	14	31	0
2	14	43	0
9	13	57	0
10	12	60	0
11	12	37	0
12	12	50	0
11	12	44	0
12	12	65	0
10	14	45	0
7	12	25	0
10	12	44	0
2	12	33	1
12	17	63	0
9	17	76	0
6	18	61	0
12	17	66	0
12	20	38	0
12	16	73	0
12	20	63	0
9	12	19	0
1	20	77	0
11	14	41	0
12	14	30	0
12	14	41	0
11	14	25	0
11	12	29	0
12	12	38	0
10	12	59	0
7	12	27	0
9	12	22	2
11	15	28	0
7	15	49	0
11	16	36	0
12	13	41	0
12	16	32	0
2	14	54	0
12	11	49	0
1	12	20	0
11	12	41	0
10	12	37	0
12	20	40	0
10	12	33	0
10	11	57	0
12	20	51	0
12	12	34	0
9	14	30	0
12	16	51	1
12	16	56	2
10	14	34	0
2	11	67	0
2	12	24	0
8	15	45	0
7	12	19	0
12	13	30	0
10	14	38	0
9	12	29	0
6	11	50	0
4	8	71	0
11	9	47	0
10	15	35	2
2	12	35	0
9	15	23	0
6	13	20	0
2	12	68	0
9	14	46	0
9	11	26	0
9	16	34	0
9	12	30	0
12	13	44	0
12	16	31	0
11	14	38	0
9	12	43	0
12	16	31	0
9	14	51	2
12	16	27	2
12	16	36	0
12	14	39	0
10	12	30	0
9	14	23	0
12	12	32	0
4	12	64	0
7	12	22	0
2	16	35	0
9	13	37	0
9	12	62	0
5	14	23	0
6	16	39	0
2	14	21	0
6	17	27	0
6	16	29	0
12	16	25	0
7	12	48	0
9	12	28	0
1	12	37	0
9	12	53	0
12	16	34	0
12	12	49	0
10	16	40	0
4	12	42	0
11	14	33	0
9	13	28	0
12	13	37	0
1	14	37	0
11	13	41	0
4	12	26	0
10	12	29	0
10	16	32	0
3	11	22	0
2	12	62	0
10	10	30	0
3	11	20	0
12	10	44	0
11	12	67	0
7	12	22	0
12	12	24	0
2	12	28	0
6	12	69	0
9	14	41	0
10	18	32	0
7	15	24	0
9	13	40	0
11	20	46	0
10	16	67	0
10	12	34	0
10	12	32	0
10	15	27	0
12	12	42	0
1	7	19	0
10	16	30	0
11	12	29	0
9	13	27	0
10	12	40	0
7	13	44	0
11	16	50	0
12	18	53	0
8	12	37	0
12	17	30	0
6	13	36	0
10	13	37	0
5	15	24	0
3	14	36	0
7	12	37	0
12	15	37	0
12	14	33	0
9	14	42	0
2	12	62	0
7	9	34	0
8	12	20	0
5	16	62	0
7	17	28	0
12	16	38	0
8	15	38	0
1	12	50	0
11	14	65	0
9	12	29	0
10	12	46	0
9	16	27	0
8	12	66	0
10	13	36	0
12	16	28	0
9	12	25	0
11	12	40	0
8	9	33	0
3	12	38	0
10	12	54	0
10	10	23	0
7	12	30	0
12	12	44	0
3	12	51	1
3	5	50	1
11	12	30	0
12	17	35	0
3	15	70	0
12	13	49	0
4	15	25	0
12	20	60	0
12	16	49	0
9	16	65	0
12	12	40	0
9	10	28	0
11	11	56	0
12	14	61	0
2	12	27	1
3	10	30	1
5	9	49	1
10	12	34	0
11	19	35	0
10	9	32	0
3	7	39	0
2	12	41	0
10	12	51	0
8	13	70	0
8	8	35	0
2	12	45	0
6	13	21	0
9	12	43	0
9	11	27	0
6	12	71	0
8	12	20	2
9	9	25	0
6	8	46	0
12	8	49	0
11	8	29	0
10	12	29	2
9	9	38	0
10	16	28	0
12	13	42	0
9	12	27	0
11	19	49	0
9	11	79	0
9	11	60	0
6	7	43	1
9	12	24	1
9	12	33	1
9	12	38	1
12	12	27	0
6	12	40	0
6	7	71	1
10	8	59	1
8	12	21	0
2	12	37	0
10	14	23	0
9	11	46	0
12	16	46	0
9	12	24	0
2	13	56	0
12	12	29	0
12	13	44	0
11	16	58	0
10	9	43	0
10	12	26	0
11	12	41	0
11	10	47	0
12	12	36	0
5	5	35	0
10	11	40	0
8	10	37	0
11	17	40	0
12	17	35	0
9	12	58	0
11	12	30	0
10	12	43	0
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12	14	49	0
9	12	48	0
11	13	41	0
3	13	18	0
3	14	34	0
12	12	42	0
12	12	53	0
8	9	32	0
12	14	35	0
12	15	47	0
12	12	40	0
10	12	25	0
12	14	46	0
2	16	25	0
10	14	35	0
12	12	57	0
9	12	53	0
4	11	19	0
4	12	22	0
8	13	24	0
11	12	46	0
10	13	46	0
12	16	37	0
12	20	46	0
12	17	25	0
12	19	46	0
12	19	28	0
12	18	45	0
12	14	33	0
12	12	38	0
12	12	34	0
10	12	30	0
11	15	51	0
9	14	51	0
12	12	39	0
10	12	39	0
12	18	39	0
12	13	36	0
10	14	32	0
12	13	25	0
11	12	76	0
11	14	29	0
12	14	23	0
9	12	33	0
8	12	37	0
12	15	45	0
12	16	42	0
12	14	50	0
9	12	50	0
12	16	32	0
4	16	36	0
10	12	42	0
10	8	63	0
3	12	37	0
10	12	36	0
1	12	61	0
1	12	68	0
6	9	57	0
5	12	44	1
10	16	29	0
1	9	42	0
12	14	39	0
12	14	48	0
10	12	43	0
7	14	29	1
12	12	58	1
12	12	62	1
2	12	63	0
12	16	29	0
9	13	35	0
11	13	39	0
10	13	46	1
10	14	29	0
12	12	66	0
11	14	50	0
10	14	23	0
12	14	67	0
11	15	44	0
11	17	27	0
5	9	45	0
8	6	57	0
1	9	20	0
12	11	38	0
9	14	28	0
3	9	57	0
12	18	74	0
9	13	30	0
10	12	57	0
12	14	48	0
5	12	41	0
9	13	42	1
5	13	36	0
4	7	50	0
9	3	58	0
12	13	41	0
3	10	27	1
12	16	56	0
12	19	42	0
1	16	38	0
12	16	43	0
8	16	27	0
12	13	31	0
12	12	36	0
10	9	35	0
11	13	50	0
11	10	38	1
9	14	50	1
12	12	42	0
8	13	35	0
11	16	51	0
11	13	31	0
12	12	45	0
12	20	55	0
12	17	64	0
12	14	53	0
11	13	33	0
11	8	48	0
11	18	31	0
11	12	34	0
11	12	54	0
11	12	32	0
9	9	42	0
12	14	49	0
12	16	37	0
12	16	47	0
9	12	39	1
12	15	28	0
12	13	56	1
11	10	31	2
11	12	28	1
10	13	26	0
12	14	38	1
12	12	43	1
12	11	44	1
10	12	29	0
10	12	30	0
10	12	36	0
12	12	47	0
4	13	50	0
8	12	31	1
8	11	32	1
9	12	57	0
4	12	41	0
9	14	40	1
12	14	46	0
10	12	47	0
9	9	42	0
4	11	69	0
12	16	54	0
7	10	67	0
12	12	49	0
11	11	30	0
12	13	48	0
10	12	29	0
9	12	42	0
10	12	54	0
6	9	69	0
11	12	25	0
10	9	61	0
10	16	26	0
7	12	63	0
4	11	39	0
4	12	61	0
12	12	36	0
4	13	57	0
9	12	51	0
2	12	46	0
9	16	28	0
9	14	60	0
2	11	21	0
8	12	34	0
9	12	30	0
11	12	41	0
8	12	28	0
12	12	31	0
12	12	36	0
11	12	42	0
12	16	44	0
12	17	41	0
12	9	56	2
12	14	29	0
12	16	24	0
11	16	35	0
4	9	80	0
12	11	54	0
12	14	30	0
12	15	26	0
11	12	52	1
12	12	47	0
11	13	39	0
12	16	49	0
10	12	30	0
11	18	43	0
2	12	20	0
11	17	25	0
11	12	27	1
10	12	32	0
1	11	62	0
8	12	57	0
9	16	80	0
9	13	27	1
9	11	32	0
9	9	60	0
11	16	50	0
3	9	45	0
2	3	40	0
6	12	32	0
6	12	21	0
12	11	51	1
2	12	41	1
10	12	30	0
12	12	29	0
12	17	26	0
12	16	39	0
12	12	38	0
12	12	60	0
10	14	41	0
9	12	47	0
12	20	31	0
12	12	32	0
12	14	58	1
10	14	24	0
12	12	46	1
9	7	56	1
9	12	31	0
3	10	24	0
9	12	52	1
12	18	36	0
8	11	39	0
3	11	19	2
12	20	40	0
12	16	42	0
10	14	30	2
12	15	29	2
9	16	41	0
12	20	52	0
5	12	25	0
10	15	51	2
9	14	47	0
12	15	42	0
1	14	52	0
12	19	49	0
8	13	42	0
11	12	31	0
9	14	21	0
7	12	22	0
10	12	27	0
10	14	50	0
10	12	33	0
7	17	64	0
9	13	34	0
11	18	54	0
7	11	28	0
11	15	43	0
8	14	34	0
9	12	31	0
6	15	22	0
12	12	43	0
10	16	26	0
12	20	45	0
12	16	36	0
1	12	55	0
12	11	46	0
12	11	37	0
12	16	49	0
12	12	32	0
11	14	43	0
5	12	39	0
8	12	36	0
9	9	59	0
11	12	47	0
10	17	39	0
1	12	62	0
11	19	51	0
1	12	26	0
9	12	43	0
12	12	47	0
11	9	29	0
8	12	32	0
4	9	30	0
12	12	35	0
9	12	76	0
5	12	52	0
12	16	50	0
12	18	44	0
10	13	28	0
10	12	21	0
8	12	27	0
12	14	40	0
10	16	43	0
2	17	27	0
11	11	47	0
9	14	33	0
12	16	28	0
1	13	28	0
10	13	52	1
4	12	32	0
12	13	39	0
12	14	34	1
9	13	31	0
12	14	42	0
9	16	24	0
11	14	38	0
12	12	52	0
9	2	61	1
10	12	30	0
11	12	29	0
11	12	25	0
11	16	51	0
12	15	47	0
9	13	23	1
12	14	30	0
9	12	37	2
9	12	60	0
11	12	49	0
6	16	48	0
END


### Initial values
list(beta0 = 0, beta1 = 1, beta2 = 1, beta3 = 1, tau = 1)