Dear BUGS users, I’m looking at spatial variation in disease incidence, and when I generate the uninitialized values, I receive the following error message: Adjacency matrix of normal CAR b[85] must be symmetric. I’ve checked and re-checked number 85, and it appears to be correct. Could anyone please shed light on this? I’ve attached the model, dummy data, adjacency matrix and initial values below. Thank you for your assistance. Kind regards, Susanna MODEL: model { for (i in 1 : N) { # Likelihood O[i] ~ dnegbin(pi[i], r) pi[i] <-r/(r+lambda[i]) log(lambda[i])<-eta[i] eta[i]<-log(E[i]) + alpha + b[i] + h[i] # Area-specific relative risk RR[i] <- exp(alpha + b[i] + h[i]) # Prior distribution for the uncorrelated heterogeneity h[i] ~ dnorm(0, tauh) } # CAR prior distribution for spatial random effects: b[1 : N] ~ car.normal(adj[], weights[], num[], taub) for(k in 1:sumNumNeigh) { weights[k] <- 1 } # Other priors: alpha ~ dnorm (0,0.001) r ~ dgamma(0.001, 0.001) taub ~ dgamma(0.1, 0.1) tauh ~ dgamma(0.001, 0.001) sigmab <- sqrt(1 / taub) sigmah <- sqrt(1 / tauh) } DATA: list( N=1415 , O=c( 37, 36, 38, 25, 28, 24, 33, 24, 34, 29, 35, 29, 27, 26, 32, 30, 43, 33, 28, 33, 37, 40, 35, 42, 34, 37, 32, 34, 32, 33, 22, 20, 24, 39, 43, 42, 36, 29, 24, 42, 43, 31, 26, 37, 31, 29, 36, 33, 31, 43, 36, 29, 32, 37, 31, 42, 34, 28, 49, 23, 29, 18, 39, 36, 24, 18, 33, 30, 35, 32, 26, 40, 31, 40, 26, 25, 31, 32, 31, 44, 37, 37, 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117.2745,32.1440,57.5675,90.3395,109.3959,179.0020,14.5422, 0.5368,43.2488,61.6318, 201.3907,206.1879,141.9124,58.7490,174.8569,225.6239,32.7786,60.5767,40. 6018,117.9722, 26.4382,69.9013,11.1950,18.6733,30.6113, 4.6324,11.7252,25.1216, 7.5440,12.4312, 21.6263, 9.5728,25.9118,59.6755, 4.5464,11.1474,29.5102, 3.0113, 1.4505, 4.8494, 3.8317,13.2921, 2.0565, 6.5513, 2.4478, 1.2594,38.0299,41.1475, 2.8598,11.7339, 12.0402, 2.6487, 1.9575, 2.1556,12.9928, 2.2529, 3.0884, 5.1159, 1.0013, 2.5825, 2.1376, 2.5532, 3.2999, 3.0643, 2.5943, 4.5010, 8.2733, 7.4704,10.2714, 7.8286, 2.5725, 3.6625, 3.9784, 5.5403, 2.1570, 2.6263, 1.3796,17.6502, 9.6728, 3.2240, 1.3646,10.3541, 4.6069, 1.7427, 7.7809, 2.9629, 3.2450,10.0857, 2.1695, 2.0204, 2.7594, 0.8873, 1.1527, 0.6772, 5.3894,86.6687,15.0834, 0.7458, 2.4066, 5.4115, 0.6594, 4.8670, 3.5285,38.2487, 4.1259,53.5856,36.0953,18.4397, 5.7699, 2.0335, 1.0722, 0.9856, 4.5787, 2.3233, 0.5627, 0.2210, 1.4051, 0.6344, 2.6276, 2.2774, 4.0476, 3.2804, 7.4796, 1.7585, 2.9304, 3.9932, 8.4245, 1.8352, 1.9285,19.2869, 39.2702,22.0260,48.3689,12.9279,22.1285,36.9644,25.9302,44.8214,117.0329, 16.9825, 102.3940, 0.4059,86.0405,71.2021,27.4779, 5.8249, 7.9479, 8.3407,38.7317, 5.9446, 2.9118,15.5824, 5.0580,15.1341, 0.2348,136.8128,21.8456,19.6695,46.7804, 2.7768, 7.8051,25.7712,11.6812, 5.0280,13.6727,19.2560, 2.0771,43.3304,42.5642,58.7487, 17.7987,28.4427, 5.9818, 9.3093,23.0676,15.3619, 4.2141, 1.8907, 7.9610,15.7812, 5.4419, 7.9995, 2.0190, 2.0239, 2.2365, 4.4742, 5.0174, 5.5296,16.9745, 5.8449, 14.8176, 0.1960, 4.8086,11.0665, 3.6853, 6.1536, 5.9367, 5.4524, 1.3530, 6.9646, 3.3629, 6.1741, 4.2888, 1.3944, 6.8243, 6.2811, 5.1985, 0.5034, 8.2918, 9.5147, 0.0602, 7.1090, 9.8011, 7.5206,11.7970, 3.6928,14.4370,12.5454, 5.6034, 1.7210, 40.5155, 0.8004, 3.3698, 0.6957, 0.4907, 8.5503, 3.8908, 3.4706, 1.9150,13.9175, 4.8129, 1.8243, 1.2868, 8.3396, 3.7383,25.2845, 6.1834, 1.0879,12.1401, 3.1059, 1.0171, 3.0685, 2.5703, 1.0160, 2.6142, 1.2750,29.9897, 3.0182, 0.5095, 5.5037, 0.6502, 2.7191, 1.6458, 6.4412, 1.4946, 1.8699, 1.5268,10.6394, 5.5968,15.1780, 5.6035,29.0583,21.6124, 3.3691, 3.7124, 0.9752, 3.7675, 2.3422, 6.4064, 9.0182, 11.0089, 0.8066, 0.5976, 0.8356, 2.5538, 0.0792, 9.7776, 2.8817, 5.8755, 0.3303, 3.3228, 6.3455, 1.5618, 5.5158, 0.0908, 6.2124, 0.3545, 8.5318, 2.3607, 0.1000, 2.8693, 6.9645, 5.1166, 2.7388, 0.0640, 3.3180, 9.0515, 5.3085, 9.4146,15.5452, 14.7748, 9.0578, 5.5358, 8.8556, 4.8946, 7.3634,10.6354,18.9525, 9.5227, 7.4540, 9.2373, 5.0771, 8.4366, 4.9782, 7.0101, 7.2911, 5.4902, 4.3832,11.2212, 7.8580, 6.4213, 6.7477, 5.7418, 4.5529, 5.4193, 1.6140, 4.8965, 1.2555, 5.0030, 6.0985, 7.2784, 5.9995, 5.6639, 7.3003, 4.6079, 0.1425, 5.3712, 6.0872, 0.0157,14.2247, 10.9046,20.9467,19.8000,16.9592, 9.3847,11.1552,25.5844, 9.8281, 1.9133,14.4427, 41.9711, 5.4913,16.4023, 5.5266,11.6117,15.7172, 0.1458,21.7793, 0.7824, 5.0944, 2.6630, 0.0933, 6.5038, 0.2785, 0.0010, 0.0534, 1.7683,10.8938, 0.5577, 0.0445, 0.1925, 6.9500, 0.6007, 5.6011,10.7540, 2.6004, 0.0810, 0.9379, 0.0975, 0.0116, 22.1548,16.2250,15.5934, 0.8112, 0.1000) ) ADJACENCY MATRIX: list ( sumNumNeigh= 8045 , num=c( 4, 7, 7, 3, 5, 5, 5, 5, 2, 3, 4, 4, 6, 4, 7, 5, 6, 5, 8, 5, 7, 8, 6, 4, 4, 6, 10, 5, 5, 5, 5, 5, 8, 6, 6, 5, 5, 5, 5, 9, 7, 4, 6, 6, 4, 4, 5, 3, 6, 8, 7, 6, 5, 6, 8, 5, 5, 4, 2, 5, 2, 6, 3, 5, 8, 3, 6, 5, 5, 4, 6, 3, 5, 6, 5, 4, 3, 8, 10, 3, 3, 1, 7, 1, 7, 7, 6, 3, 2, 4, 4, 8, 6, 1, 6, 8, 2, 1, 5, 4, 2, 10, 4, 3, 4, 4, 4, 1, 4, 6, 8, 4, 8, 1, 8, 5, 7, 3, 9, 5, 8, 7, 7, 1, 6, 5, 6, 6, 9, 4, 5, 5, 6, 7, 7, 6, 5, 1, 9, 4, 10, 6, 6, 5, 8, 8, 6, 8, 4, 4, 2, 8, 7, 5, 1, 5, 5, 7, 9, 12, 7, 4, 4, 4, 9, 6, 1, 5, 5, 6, 5, 4, 9, 5, 7, 9, 9, 4, 5, 3, 8, 3, 6, 8, 8, 6, 6, 6, 7, 2, 5, 9, 7, 8, 6, 1, 6, 9, 2, 3, 11, 5, 3, 6, 7, 5, 7, 6, 5, 3, 6, 5, 6, 5, 6, 6, 4, 5, 5, 6, 6, 7, 6, 5, 8, 6, 7, 6, 5, 5, 8, 8, 5, 6, 6, 5, 7, 5, 7, 8, 6, 7, 8, 5, 7, 5, 6, 5, 6, 4, 5, 5, 7, 6, 6, 6, 5, 3, 6, 5, 6, 3, 6, 4, 10, 7, 4, 7, 6, 5, 6, 7, 5, 5, 7, 4, 3, 3, 6, 4, 3, 4, 7, 4, 2, 5, 4, 1, 6, 3, 6, 10, 6, 1, 8, 4, 4, 5, 7, 1, 6, 6, 1, 1, 4, 8, 3, 7, 4, 4, 7, 7, 6, 5, 8, 7, 7, 6, 1, 7, 6, 6, 8, 5, 4, 7, 2, 6, 6, 14, 7, 2, 3, 7, 4, 3, 4, 6, 6, 4, 1, 6, 10, 5, 6, 1, 8, 5, 6, 6, 2, 3, 6, 7, 5, 6, 6, 7, 6, 1, 7, 9, 9, 2, 2, 7, 5, 6, 7, 2, 9, 6, 4, 4, 2, 7, 7, 9, 4, 6, 1, 1, 5, 5, 3, 8, 3, 7, 8, 7, 3, 4, 2, 6, 6, 6, 9, 7, 7, 1, 4, 5, 7, 4, 4, 5, 1, 6, 3, 6, 5, 5, 5, 3, 3, 6, 3, 2, 4, 5, 6, 5, 6, 2, 8, 8, 5, 5, 6, 6, 2, 5, 3, 7, 3, 7, 3, 4, 7, 9, 5, 6, 8, 2, 4, 6, 6, 4, 5, 5, 6, 5, 6, 7, 9, 5, 3, 8, 5, 6, 4, 13, 5, 5, 6, 5, 8, 4, 6, 4, 6, 6, 3, 3, 6, 6, 4, 2, 6, 6, 3, 6, 8, 5, 4, 4, 5, 5, 4, 9, 5, 7, 4, 5, 4, 5, 5, 6, 6, 6, 6, 5, 6, 3, 5, 8, 3, 3, 5, 4, 6, 7, 6, 6, 4, 4, 6, 4, 7, 6, 5, 7, 6, 7, 6, 3, 6, 6, 5, 8, 7, 5, 5, 7, 9, 8, 4, 5, 3, 5, 3, 7, 7, 1, 6, 8, 4, 8, 6, 5, 4, 8, 8, 6, 5, 7, 7, 6, 10, 7, 3, 7, 6, 4, 4, 10, 2, 7, 3, 7, 5, 8, 6, 5, 7, 6, 6, 5, 5, 7, 6, 7, 7, 4, 7, 6, 6, 6, 6, 8, 4, 5, 7, 4, 7, 6, 5, 3, 5, 7, 7, 7, 7, 3, 6, 13, 3, 3, 2, 5, 6, 6, 6, 3, 4, 5, 8, 2, 5, 4, 4, 6, 5, 8, 6, 4, 6, 4, 7, 6, 5, 4, 4, 6, 4, 7, 5, 2, 3, 5, 6, 4, 5, 5, 7, 5, 6, 7, 4, 8, 6, 4, 7, 3, 7, 5, 7, 7, 6, 5, 6, 8, 5, 4, 4, 6, 8, 3, 2, 5, 6, 4, 4, 3, 2, 5, 3, 4, 2, 4, 10, 11, 5, 12, 6, 7, 7, 11, 6, 2, 2, 2, 5, 5, 2, 6, 1, 7, 7, 4, 5, 9, 4, 7, 4, 4, 5, 4, 3, 7, 5, 4, 8, 7, 6, 4, 5, 6, 4, 4, 7, 5, 5, 5, 8, 6, 6, 1, 2, 6, 8, 8, 5, 4, 5, 3, 7, 8, 7, 8, 2, 5, 6, 8, 8, 4, 6, 6, 6, 6, 7, 7, 1, 6, 2, 2, 4, 3, 2, 7, 8, 7, 8, 5, 8, 8, 5, 2, 4, 2, 8, 4, 7, 7, 6, 6, 5, 5, 5, 5, 9, 1, 7, 7, 7, 6, 3, 6, 3, 2, 7, 6, 7, 5, 5, 7, 5, 6, 7, 5, 1, 6, 7, 9, 3, 6, 5, 5, 5, 4, 4, 3, 6, 7, 8, 3, 3, 5, 8, 3, 1, 11, 4, 18, 6, 8, 6, 4, 2, 4, 3, 5, 4, 4, 3, 18, 3, 18, 7, 3, 14, 4, 18, 4, 4, 18, 7, 18, 8, 1, 18, 3, 4, 3, 18, 1, 18, 2, 9, 18, 3, 3, 3, 18, 18, 18, 18, 5, 18, 4, 18, 1, 2, 2, 18, 6, 8, 6, 1, 5, 5, 18, 5, 5, 18, 4, 5, 7, 8, 9, 3, 8, 5, 5, 3, 6, 8, 8, 4, 6, 5, 6, 4, 5, 5, 6, 3, 6, 6, 5, 6, 5, 9, 4, 12, 5, 7, 4, 5, 5, 5, 6, 4, 6, 5, 4, 2, 7, 6, 4, 7, 5, 5, 5, 9, 3, 5, 5, 4, 6, 4, 7, 3, 10, 3, 3, 7, 5, 3, 9, 4, 6, 3, 7, 4, 2, 5, 3, 1, 4, 7, 7, 3, 5, 8, 4, 10, 5, 3, 12, 6, 5, 5, 8, 1, 4, 6, 3, 6, 5, 1, 5, 4, 4, 6, 4, 6, 4, 3, 1, 3, 6, 3, 5, 5, 3, 7, 7, 6, 4, 1, 5, 6, 4, 5, 5, 7, 14, 1, 14, 1, 14, 6, 3, 4, 3, 4, 3, 1, 4, 3, 5, 2, 5, 7, 5, 10, 3, 5, 8, 3, 3, 7, 3, 4, 7, 2, 1, 5, 3, 4, 4, 7, 4, 7, 4, 6, 2, 3, 3, 6, 6, 2, 4, 4, 6, 5, 7, 7, 7, 7, 4, 2, 4, 7, 4, 6, 5, 4, 8, 5, 6, 5, 7, 4, 5, 1, 5, 6, 3, 5, 5, 5, 7, 1, 6, 5, 5, 9, 7, 7, 6, 8, 7, 5, 6, 5, 4, 5, 5, 7, 5, 7, 7, 5, 6, 5, 1, 6, 8, 4, 6, 6, 7, 7, 5, 7, 6, 9, 5, 5, 5, 5, 4, 10, 1, 4, 5, 4, 4, 7, 5, 8, 2, 5, 1, 3, 4, 2, 4, 5, 5, 7, 3, 7, 9, 6, 9, 4, 4, 5, 4, 5, 4, 5, 8, 4, 6, 5, 9, 3, 7, 2, 5, 3, 2, 4, 5, 4, 3, 7, 1, 3, 5, 3, 5, 8, 4, 5, 2, 4, 8, 1, 4, 1, 7, 5, 5, 4, 4, 7, 8, 7, 4, 5, 4, 2, 5, 4, 4, 3, 3, 4, 6, 3, 7, 1, 4, 7, 6, 7, 5, 6, 4, 3, 5, 3, 6, 4, 2, 4, 8, 6, 5, 8, 5, 6, 5, 4, 2, 5, 6, 5, 5, 4, 7, 6, 4, 6, 10, 7, 4, 6, 4, 4, 5, 3, 5, 9, 7, 4, 16, 16, 3, 16, 16, 1, 16, 5, 3, 4, 16, 16, 16, 16, 3, 1, 16, 1, 16, 16, 14, 14, 7, 3, 16, 1, 14, 16, 16, 16, 6, 14, 16, 14, 14, 8, 1, 7, 4, 4, 4, 4, 4, 14, 14, 4, 14, 5, 10, 9, 14, 14, 14, 14, 7, 6, 6, 6, 5, 7, 3, 6, 4, 3, 10, 12, 5, 5, 4, 6, 6, 6, 8, 22, 8, 5, 4, 5, 6, 8, 5, 6, 4, 5, 6, 4, 7, 8, 6, 5, 7, 6, 6, 5, 4, 6, 7, 7, 4, 5, 5, 5, 5, 6, 7, 5, 8, 4, 6, 5, 5, 5, 5, 6, 6, 6, 8, 7, 3, 6, 7, 5, 5, 7, 4, 6, 6, 8, 7, 3, 3, 7, 3, 8, 4, 29, 7, 6, 6, 5, 7, 6, 4, 3, 10, 3, 4, 3, 9, 5, 8, 7, 4, 3, 6, 16, 3, 3, 4, 5, 5, 4, 7, 1 ), adj = c ( 13, 8, 6, 3, 28, 7, 3, 46, 31, 49, 47, 28, 19, 13, 7, 6, 1, 2, 7, 5, 49, 10, 8, 7, 6, 4, 8, 7, 1, 3, 5, 2, 3, 4, 5, 6, 10, 9, 1, 5, 6, 10, 8, 5, 8, 9, 19, 13, 12, 15, 14, 13, 11, 15, 19, 11, 12, 1, 3, 14, 83, 15, 12, 13, 83, 26, 22, 18, 14, 11, 12, 33, 32, 18, 17, 19, 38, 33, 22, 20, 18, 16, 22, 15, 16, 17, 19, 32, 29, 28, 3, 11, 13, 18, 16, 38, 34, 22, 21, 17, 45, 44, 41, 34, 23, 22, 20, 26, 25, 23, 15, 18, 17, 20, 21, 41, 27, 25, 24, 22, 21, 27, 26, 25, 23, 26, 22, 23, 24, 83, 27, 15, 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For help with crashes and error messages, first mail [log in to unmask] To mail the BUGS list, mail to [log in to unmask] Before mailing, please check the archive at www.jiscmail.ac.uk/lists/bugs.html Please do not mail attachments to the list. To leave the BUGS list, send LEAVE BUGS to [log in to unmask] If this fails, mail [log in to unmask], NOT the whole list