########################################################################
# Normal Distribution. Mean: known. Variance: unknown.
########################################################################
model
{
for(i in 1:n)
{
d[i] ~ dnorm(0, inv.sigma2) # likelihood
d[i] <- favorite[i]-underdog[i]-spread[i]
}
inv.sigma2 ~ dgamma(0.001, 0.001) # approximates the improper prior
sigma2 <- 1/inv.sigma2
sigma <- sqrt(sigma2)
}
# Initial values
list( inv.sigma2 = 1)
# Data 1
list(n = 672)
# Data 2
favorite[] underdog[] spread[]
21 13 2.0
27 0 9.5
31 0 4.0
9 16 4.0
27 21 4.5
26 10 2.0
24 17 5.0
20 27 6.0
20 7 1.0
28 29 6.5
7 9 2.5
24 10 6.0
33 37 9.5
14 44 2.0
30 10 2.0
31 17 4.5
35 3 2.5
3 9 3.5
30 17 10.5
10 13 1.0
19 10 3.5
17 23 7.0
30 31 4.0
13 3 3.5
28 23 7.0
28 17 1.0
7 17 6.5
36 10 2.5
14 20 4.0
34 17 9.5
28 17 3.5
17 20 1.0
28 10 3.0
24 26 3.5
10 16 2.5
35 23 7.0
20 7 3.5
20 10 7.0
38 10 5.5
40 30 3.5
42 31 4.0
35 21 2.0
17 28 2.0
24 27 3.5
18 10 10.5
13 30 3.0
17 33 3.5
31 28 3.0
0 16 1.5
36 13 9.0
27 21 3.5
24 42 3.0
21 14 6.5
14 20 2.0
20 10 1.0
24 7 1.0
23 17 7.0
17 20 6.0
17 10 3.5
27 16 2.5
28 28 6.0
24 21 5.0
33 17 5.5
14 27 3.0
0 17 4.0
20 6 6.5
24 10 9.0
28 10 1.0
17 30 2.5
16 13 2.0
35 37 3.5
19 41 2.0
7 24 3.5
14 45 5.0
27 21 7.0
10 21 3.5
35 17 7.0
24 28 2.5
0 27 1.0
31 14 9.0
13 7 3.5
14 34 1.0
31 33 7.0
31 21 4.0
41 20 8.0
14 33 3.0
20 17 10.5
29 17 5.0
14 28 0.0
13 10 7.0
38 10 3.5
18 16 4.0
23 35 3.5
7 34 1.0
43 14 5.0
13 3 1.0
0 32 1.5
48 17 6.0
24 27 8.0
9 7 5.5
7 17 6.0
42 28 7.0
28 27 6.0
31 27 5.0
17 30 2.5
22 24 3.0
3 19 9.0
17 28 2.0
20 10 9.0
17 20 9.5
20 17 0.0
26 13 5.5
41 10 6.5
22 13 4.0
34 21 4.0
34 24 4.0
20 13 6.5
27 10 7.5
7 26 2.0
27 17 1.0
14 17 3.0
14 17 4.5
22 20 6.0
20 10 6.0
42 21 3.5
19 17 5.5
14 17 2.5
23 20 4.0
26 24 3.0
17 16 0.0
13 16 8.0
13 21 11.0
25 10 4.0
27 30 2.5
41 14 3.5
52 10 4.5
21 24 5.0
17 40 4.0
33 31 2.5
27 14 3.5
20 34 5.0
0 24 5.5
24 10 3.5
24 27 3.5
24 7 1.0
21 17 3.0
23 10 5.5
17 33 5.0
20 10 8.5
6 17 2.5
27 30 1.5
38 13 14.0
12 15 3.0
23 44 6.0
20 17 7.0
38 21 3.5
10 32 2.5
24 10 7.0
23 7 2.0
24 27 5.5
40 13 7.0
31 33 3.0
16 15 2.5
21 55 3.0
10 20 9.5
35 24 2.5
37 3 3.0
31 30 5.0
10 9 13.5
27 10 2.5
31 27 4.0
21 14 5.0
41 21 2.0
23 35 7.0
20 27 4.0
25 0 11.5
24 0 6.5
34 17 4.0
17 10 5.0
31 32 1.0
31 14 1.0
10 13 2.5
17 13 2.5
23 24 2.5
3 21 7.5
37 13 13.0
16 13 3.5
17 31 2.5
24 14 6.0
9 10 3.5
10 7 3.5
23 27 9.0
13 15 4.0
30 3 6.5
27 28 4.0
27 30 4.0
14 13 2.0
45 7 4.0
19 10 3.5
21 10 3.5
23 13 9.5
35 7 3.0
7 17 2.0
6 23 6.5
10 17 1.0
10 20 4.0
24 23 2.5
28 6 7.0
38 14 13.0
21 16 3.5
16 6 3.0
10 13 3.0
28 30 2.0
24 35 3.0
17 20 6.0
21 20 1.0
6 10 3.0
21 23 6.0
28 3 3.5
38 0 8.5
21 17 6.5
42 21 1.0
30 7 2.0
23 10 8.0
17 22 4.0
10 20 2.0
6 16 4.0
29 41 3.0
10 14 7.0
23 29 6.0
12 0 4.5
21 27 1.5
0 11 3.0
28 17 2.5
17 20 1.0
41 38 4.5
17 13 2.0
31 30 2.5
17 48 3.5
13 16 3.0
6 10 6.5
26 31 3.5
17 10 3.0
13 23 0.0
34 17 6.0
21 25 1.5
17 10 2.5
34 24 9.5
10 17 8.0
20 6 10.0
30 27 3.0
17 14 4.0
17 7 3.5
42 27 3.5
27 12 7.0
14 30 3.0
13 23 6.5
28 23 5.5
40 28 5.5
34 31 3.0
27 24 3.0
28 13 8.0
10 13 2.5
19 16 1.5
31 34 3.0
27 14 2.0
24 20 4.5
30 13 7.0
21 20 8.0
20 17 3.0
17 23 2.0
11 14 6.0
14 6 7.5
23 28 8.0
19 22 2.0
22 7 3.5
27 24 5.5
27 17 2.0
24 30 7.0
27 3 2.0
33 13 3.0
24 28 3.5
31 14 1.5
37 24 4.0
55 14 6.0
9 24 3.0
17 10 11.0
37 35 2.0
31 34 6.0
21 10 4.5
7 17 2.5
38 14 2.5
34 41 2.0
34 10 1.0
7 10 4.5
17 19 2.0
38 14 7.0
14 38 1.5
14 23 2.0
7 10 2.0
35 38 6.0
26 14 1.5
12 7 1.0
27 24 14.0
13 17 2.0
28 21 3.5
21 20 9.0
24 14 1.0
31 17 3.0
21 37 4.0
27 34 3.0
14 32 3.5
44 17 2.0
34 14 9.0
30 7 1.0
24 17 2.0
27 21 3.5
36 38 3.0
38 17 2.0
37 7 7.5
13 32 1.0
47 48 3.5
45 35 1.0
38 40 4.0
0 31 4.0
21 28 0.0
38 17 7.0
21 27 3.5
6 7 4.5
17 20 2.0
13 10 4.0
21 7 3.5
24 21 3.0
6 14 2.0
21 27 1.0
20 20 2.0
13 27 6.0
24 13 3.0
27 21 2.5
25 19 9.0
17 38 2.5
31 41 3.5
17 12 10.5
21 22 5.0
30 14 3.0
38 20 7.0
34 14 1.0
27 24 2.5
21 34 7.0
27 24 4.5
17 20 2.0
28 20 3.5
27 10 1.0
26 3 5.0
35 21 2.0
21 7 0.0
27 20 6.5
55 14 4.0
12 17 7.0
21 14 7.0
27 19 3.0
45 7 10.0
14 17 6.5
16 9 5.0
15 20 2.5
17 27 6.5
17 14 1.0
21 29 2.5
28 33 3.0
20 0 4.0
6 17 3.0
17 24 3.5
24 13 3.5
27 0 4.0
22 20 7.0
33 17 8.0
23 24 9.0
13 36 1.5
37 0 9.0
27 0 1.0
0 30 5.0
20 23 4.0
38 10 9.0
27 24 2.5
14 17 7.0
0 23 5.5
44 14 0.0
41 21 9.0
24 28 3.5
38 27 1.5
42 20 3.0
28 31 3.0
3 45 5.5
35 17 10.0
3 13 5.0
27 12 9.5
33 24 2.0
26 3 3.0
41 23 6.0
17 16 2.5
28 24 15.0
47 41 2.5
31 7 2.5
41 17 4.0
51 48 3.5
38 14 5.5
42 10 1.5
35 21 10.0
9 13 4.5
37 21 9.5
0 7 1.0
10 6 0.0
10 23 4.0
24 17 9.0
9 14 1.0
31 28 2.5
10 6 4.0
6 27 1.5
35 10 6.0
13 2 3.0
7 34 2.5
31 24 8.0
23 10 2.0
24 34 9.0
13 19 2.0
27 34 6.5
17 9 3.0
17 20 1.0
17 12 3.0
10 31 2.5
7 21 6.5
41 38 4.0
21 19 8.5
12 9 4.0
34 14 8.0
31 22 15.5
14 20 3.0
17 48 0.0
23 21 2.5
24 26 3.0
31 7 6.0
30 17 3.0
31 14 2.5
20 10 4.5
30 14 8.5
24 6 3.0
23 20 9.0
42 17 1.0
28 27 2.0
23 14 2.0
28 36 6.0
17 35 4.5
42 13 3.0
27 37 6.5
30 27 2.0
34 14 6.0
24 23 3.0
21 17 3.0
20 17 1.0
24 14 6.0
33 0 4.5
13 20 2.0
17 23 0.0
7 28 5.0
27 0 5.0
37 7 7.0
24 27 3.0
28 7 6.0
19 17 4.5
22 27 4.5
17 13 7.0
31 17 2.0
20 17 6.0
28 7 7.0
21 35 6.0
37 31 2.5
30 14 6.0
23 43 3.0
38 23 3.0
34 33 5.5
20 27 2.0
7 9 1.5
22 20 4.0
23 17 8.0
30 20 5.5
24 14 3.5
17 21 3.5
31 14 10.5
14 24 4.5
21 17 8.5
21 9 4.0
14 24 6.0
28 26 1.5
28 29 6.0
42 10 9.0
10 20 2.5
26 10 1.0
34 24 1.0
21 0 0.0
44 7 11.0
17 14 6.0
20 6 6.5
38 9 4.0
33 30 5.5
14 5 5.5
31 17 3.0
10 6 5.0
23 14 2.5
36 28 4.0
21 28 1.0
20 12 2.0
27 24 5.0
30 27 3.0
13 16 4.0
27 10 5.5
33 12 3.0
20 0 9.5
38 17 5.5
35 31 3.0
20 7 3.0
16 17 5.0
20 31 6.5
17 27 1.0
7 28 3.0
31 7 5.0
17 16 2.5
35 7 7.5
34 28 3.0
13 3 7.0
28 30 3.0
28 14 5.0
31 10 3.5
28 10 17.0
10 28 3.5
20 24 1.0
16 7 6.0
13 31 2.5
38 21 3.0
13 7 3.5
7 19 5.0
20 14 7.5
23 20 10.0
17 20 9.0
31 28 11.0
34 14 5.5
17 14 6.5
12 9 3.0
37 7 3.0
44 24 4.0
9 44 1.0
14 16 2.0
24 26 3.5
10 24 0.0
30 24 1.0
16 17 4.5
28 7 2.0
44 37 3.0
34 21 10.0
30 27 6.0
10 24 1.0
31 13 4.0
22 3 10.0
30 20 3.0
24 20 6.0
14 16 1.5
16 7 7.0
34 14 3.5
41 9 2.5
19 22 6.0
35 10 3.0
33 0 3.5
13 37 6.0
38 7 18.0
24 0 0.0
35 7 13.5
13 23 2.0
7 19 7.0
23 23 3.0
6 17 2.0
38 10 4.5
13 10 1.5
27 24 2.0
45 0 5.5
13 16 6.0
26 19 5.0
31 17 7.0
23 17 10.0
27 14 10.5
38 10 13.5
5 9 9.0
28 14 10.0
16 17 13.5
45 17 6.5
13 17 1.0
24 23 15.0
20 22 1.0
41 7 6.5
17 24 4.5
29 13 3.0
16 13 0.0
17 20 3.0
17 14 3.5
24 17 12.0
50 17 7.0
31 6 3.0
3 14 9.5
7 23 3.0
10 16 1.0
26 6 4.0
10 16 7.0
16 14 7.0
42 21 9.5
20 31 4.5
28 34 7.5
17 7 9.5
27 24 1.0
28 31 4.0
20 17 2.0
35 14 6.5
41 14 13.5
27 10 6.5
28 27 7.0
34 33 3.0
17 16 4.5
52 24 2.5
34 3 4.0
21 7 14.5
35 3 7.5
24 27 2.5
28 17 14.0
31 17 10.0
35 17 13.0
17 20 0.0
21 15 3.0
20 10 3.5
20 23 7.0
26 10 4.0
27 14 6.0
13 16 4.5
10 33 4.5
38 17 11.0
34 45 3.5
34 21 7.0
20 7 1.0
21 17 7.0
51 7 16.5
23 20 7.0
23 6 7.5
35 17 14.0
24 21 2.5
31 21 4.0
20 14 0.0
7 34 4.5
17 27 3.0
27 16 11.5
30 28 1.0
16 13 7.0
24 3 7.0
19 16 6.5
3 10 9.0
14 31 4.0
41 21 4.0
16 10 10.0
20 27 2.0
29 27 6.5
38 14 7.5
52 21 13.5
13 30 0.0
21 42 2.5
10 26 3.0
7 13 6.0
28 21 6.5
END