Hello everybody,
I want to use Generalized CAR model for disease mapping problems. I am
using WinBUGS code from Dr. Carlin software page(
http://www.biostat.umn.edu/~brad/software.html). while I tried using
his code, I got error message that says sumnumneigh is not defined. I
rearrange this code. Seeminlgy, code run after rearranged but I could
not get estimates. I got whole page of error message. It would be
great if some body can let me know what is going on. I have attache
the code that I used.
model
{
for( i in 1 : N )
{
Y10[i] ~ dpois(mu1[i])
Y20[i] ~ dpois(mu2[i])
mu1[i]<-N10[i]*exp(phi1[i])
mu2[i]<-N20[i]*exp(phi2[i])
}
for( i in 1 : N )
{
mu_phi2[i]<-beta2
for ( j in 1:N)
{ count[i, j]<-W[i, j ]*(phi2[j]-beta2)} #
mean for phi_2
mu_phi1[i]<- beta1+ eta_0*(phi2[i]-beta2)+ eta_1*sum(count[i, ]) #
conditional mean for phi_1|phi_2
m[i]<-1/num[i] #
scaling factor for variance in each county
}
## set up the weight matrix C (Copy from winbugs manual )
cumsum[1] <- 0
for(i in 2:(N+1)) { cumsum[i] <- sum(num[1:(i-1)]) }
for(k in 1 : sumNumNeigh) {
for(i in 1:N) { pick[k,i] <- step(k - cumsum[i] - epsilon) *
step(cumsum[i+1] - k)
# pick[k,i] = 1 if cumsum[i] < k <= cumsum[i=1];
otherwise, pick[k,i] = 0
}
C[k] <- 1 / inprod(num[], pick[k,]) # weight for each pair of neighbours
}
epsilon <- 0.0001
phi2[1:N] ~ car.proper(mu_phi2[], C[], adj[], num[], m[], tau2, alpha[2])
phi1[1:N] ~ car.proper(mu_phi1[], C[], adj[], num[], m[], tau1, alpha[1])
beta1 ~ dnorm(0.0,1.0E-3)
beta2 ~ dnorm(0.0,1.0E-3)
eta_0 ~ dnorm(0, 0.01)
eta_1 ~ dnorm(0, 0.01)
tau2 ~ dgamma(1, 0.1)
tau1 ~ dgamma(1,0.1)
alpha[1] ~ dunif(0, 0.9) # avoid improper CAR to maintain
identifiability
alpha[2] ~ dunif(0, 0.9)
}
}
#Data
list(N=87,
Y10=c(96, 673, 142, 126, 114, 41, 169, 100, 160, 124, 147, 67, 137,
161, 52, 15, 51, 239, 725, 48, 116, 73, 79, 151, 149, 28, 3797,
80, 105, 90, 232, 45, 56, 127, 41, 86, 45, 68, 24, 68, 53, 88,
86, 23, 35, 94, 66, 88, 113, 187, 34, 76, 73, 48, 296, 226, 52,
136, 54, 172, 63, 1945, 20, 76, 74, 158, 52, 62, 1000, 145, 128,
54, 350, 89, 35, 53, 113, 21, 93, 53, 67, 450, 65, 27, 193, 211,
62),
N10=c(84, 582, 131, 126, 108, 37, 189, 131, 131, 152, 129, 72, 124,
181, 42, 21, 73, 234, 695, 62, 147, 96, 111, 166, 185, 39, 3528,
84, 80, 92, 192, 63, 57, 169, 32, 70, 51, 55, 21, 103, 44, 106,
136, 25, 53, 120, 100, 94, 131, 205, 54, 95, 101, 46, 346, 280,
61, 102, 57, 156, 63, 1741, 22, 92, 94, 176, 52, 60, 921, 162,
117, 72, 394, 126, 46, 61, 110, 28, 90, 68, 78, 402, 60, 36,
185, 225, 66),
Y20=c(14, 52, 8, 16, 9, 0, 20, 12, 12, 8, 10, 1, 8, 11, 1, 0, 3,
14, 51, 1, 14, 8, 9, 15, 10, 3, 319, 4, 9, 8, 25, 4, 9, 12, 0,
2, 6, 8, 4, 18, 1, 7, 6, 1, 3, 12, 8, 7, 12, 17, 1, 7, 3, 7,
33, 25, 6, 11, 7, 12, 3, 161, 1, 13, 8, 16, 4, 3, 98, 10, 3,
1, 20, 11, 1, 7, 7, 1, 10, 3, 4, 35, 5, 5, 19, 12, 6),
,
N20=c(7, 49, 11, 11, 9, 3, 16, 11, 11, 13, 11, 6, 10, 15, 4, 2, 6,
20, 59, 5, 12, 8, 9, 14, 16, 3, 298, 7, 7, 8, 16, 5, 5, 14, 3,
6, 4, 5, 2, 9, 4, 9, 11, 2, 4, 10, 8, 8, 11, 17, 5, 8, 9, 4,
29, 23, 5, 9, 5, 13, 5, 147, 2, 8, 8, 15, 4, 5, 77, 14, 10, 6,
33, 11, 4, 5, 9, 2, 8, 6, 7, 34, 5, 3, 16, 19, 6),
# adjacency matrix 87 x 87
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0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), .Dim = c(87, 87)),
num = c(8,6,7,9,4,4,7,6,3,5,8,5,4,4,6,1,5,4,6,4,4,4,4,4,5,5,
6,2,5,5,5,3,4,6,2,4,3,2,3,6,3,4,5,4,5,4,5,7,6,4,5,
5,3,4,6,7,5,4,3,6,5,4,2,6,9,6,2,4,5,6,6,6,8,4,5,5,6,
4,3,5,6,4,4,4,4,6,6),
#adjacency matrix
adj = c(11, 31, 69, 9, 58, 33, 48, 18,
27, 71, 30, 13, 82, 62,
14, 54, 44, 15, 29, 80, 56,
45, 68, 39, 36, 31, 11, 29, 15, 57,
73, 49, 48, 71,
78, 75, 76, 37,
22, 46, 83, 8, 52, 40, 81,
83, 17, 64, 65, 52, 7,
1, 69, 58,
27, 70, 72, 43, 86,
29, 4, 31, 1, 18, 49, 77, 80,
37, 76, 34, 65, 87,
82, 2, 30, 58,
54, 3, 56, 84,
60, 57, 4, 29, 3, 44,
38,
32, 51, 64, 8, 83,
11, 1, 48, 49,
25, 66, 70, 27, 62, 82,
50, 74, 25, 55,
61, 26, 56, 77,
46, 7, 81, 24,
50, 55, 85, 28,
22, 81, 74, 50,
79, 55, 20, 66, 19,
78, 84, 56, 21, 75,
19, 70, 10, 86, 2, 62,
23, 85,
15, 4, 11, 80, 3,
2, 71, 48, 33, 13,
4, 36, 69, 1, 11,
53, 17, 46,
48, 1, 58, 30,
12, 76, 61, 73, 47, 65,
68, 45,
39, 4, 31, 69,
6, 12, 87,
69, 16,
68, 4, 36,
81, 7, 52, 72, 70, 66,
87, 42, 59,
41, 87, 64, 51,
10, 72, 65, 47, 86,
54, 60, 15, 3,
35, 68, 4, 57, 60,
32, 83, 7, 22,
34, 73, 86, 43, 65,
5, 49, 18, 1, 33, 30, 71,
77, 11, 18, 48, 5, 73,
24, 20, 55, 23,
53, 59, 42, 64, 17,
7, 8, 65, 72, 40,
67, 51, 32,
60, 44, 3, 14,
79, 85, 23, 50, 20, 25,
84, 14, 3, 80, 77, 21, 26,
45, 4, 15, 63, 60,
13, 33, 1, 9,
41, 51, 67,
45, 57, 63, 15, 44, 54,
76, 75, 21, 73, 34,
27, 2, 82, 19,
60, 57,
17, 51, 42, 87, 65, 8,
43, 72, 52, 8, 64, 87, 12, 34, 47,
74, 81, 40, 70, 19, 25,
59, 53,
35, 39, 45, 4,
36, 31, 1, 9, 38,
66, 40, 72, 10, 27, 19,
86, 73, 5, 48, 30, 2,
65, 43, 10, 70, 40, 52,
86, 47, 34, 61, 77, 49, 5, 71,
24, 81, 66, 20,
6, 78, 26, 61, 76,
12, 6, 75, 61, 34,
21, 56, 80, 11, 49, 73,
84, 26, 75, 6,
85, 55, 25,
56, 3, 29, 11, 77,
24, 22, 7, 40, 66, 74,
19, 62, 2, 13,
46, 17, 8, 7,
14, 56, 26, 78,
28, 23, 55, 79,
47, 73, 71, 27, 10, 43,
37, 12, 65, 64, 42, 41),sumNumNeigh = 418),
#initial value
list(beta1=0, beta2=0, tau1=1, tau2=1, eta_0=0.3, eta_1=0.3,
alpha=c(0.5, 0.5),
phi1=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0), phi2=c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0))
Best,
Bibek
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