### Site Tools

lab:projects:a_working_example
## Estimate a multilevel mediation model
model{
for (i in 1:n){
re[i, 1:5]~dmnorm(mure[i, 1:5], pre_cov[1:5,1:5])
mure[i,1]<-b[1,1]+b[1,2]*w[i]
mure[i,2]<-b[2,1]+b[2,2]*w[i]
mure[i,3]<-b[3,1]+b[3,2]*w[i]
mure[i,4]<-b[4,1]+b[4,2]*w[i]
mure[i,5]<-b[5,1]+b[5,2]*w[i]

for (j in 1:mi[i]){
y[i,j] ~ dnorm(muy[i,j], pre_phi[1])
muy[i,j]<-re[j,1]+re[j,2]/re[j,3]*m[i,j]+re[j,4]*x[i,j]
m[i,j] ~ dnorm(mum[i,j], pre_phi[2])
mum[i,j]<-re[j,5]+re[j,3]*x[i,j]
}
}
for (i in 1:2){
pre_phi[i]~gamma(.001,.001)
phi[i]<-1/pre_phi[i]
}

pre_cov[1:5,1:5]~dwish(R[1:5,1:5], 5)
cov[1:5,1:5]<-inverse(pre_cov[1:5,1:5])

for (i in 1:5){
for (j in 1:2){
b[i,j]~dnorm(0, .001)
}
}
}

## initial values
list(pre_phi=c(1,1), phi=c(1,1), b=structure(.Data =c(
0.0,  1.0,
0.0,  1.0,
0.0,  1.0,
0.0,  1.0,
0.0,  1.0), .Dim = c(5,2)),
cov=structure(.Data =c(1, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 0.5, 0.5, 0.5, 0.5,
0.5, 1, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 0.5, 0.5, 0.5, 0.5, 0.5, 1), .Dim = c(5,5)))

## data
list(mi=c(100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,
100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,
100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,
100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,
100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,
100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,
100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,
100, 100, 100, 100, 100, 100, 100, 100, 100, 100),
R=structure(.Data =c(1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0,
0, 1, 0, 0, 0, 0, 0, 1), .Dim = c(5,5)),
m = structure(.Data = c(
1.308,0.8893,-1.935,1.487,1.974,
-2.594,-0.5939,1.906,0.4798,-1.654,
4.011,1.252,0.7831,-0.7396,1.058,
-3.921,1.727,0.9678,1.182,-0.6983,
-2.012,-0.354,-3.213,1.674,0.466,
-0.736,0.4443,3.873,0.08665,0.4306,
-0.5055,2.04,-1.474,0.8999,0.003123,
1.432,1.525,2.155,1.762,3.761,
-0.6051,-2.108,5.608,4.654,1.477,
-1.23,0.3355,-0.9048,4.425,5.215,
1.047,1.093,0.07884,0.9098,0.06832,
-0.4408,-1.75,-0.734,3.344,-0.0631,
-1.948,0.4741,0.4968,-0.3384,-2.864,
0.4737,-1.652,-0.8681,2.697,-3.201,
-1.507,-1.954,0.2903,2.292,0.8688,
-3.118,0.5879,-1.289,0.09333,-0.8567,
0.3163,-4.37,1.786,1.702,-0.3806,
-2.236,1.384,1.682,1.169,0.5509,
0.359,1.127,3.214,-1.452,0.2273,
-0.5227,-3.244,-3.043,0.4022,1.814,
1.708,-3.385,-1.756,1.251,1.156,
-1.789,1.528,2.502,-1.351,0.5795,
4.841,-0.3096,2.835,0.1,1.878,
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-1.967,-0.2573,-1.52,-0.4556,0.6784,
-2.457,1.452,2.187,2.54,0.5964,
-2.276,2.892,-2.73,-4.249,-4.566,
-1.87,2.026,-1.011,3.807,13.86,
-1.665,-0.4825,3.826,1.514,0.4795,
-3.362,0.1048,0.8371,3.385,0.1558,
-2.182,0.6136,1.812,-1.625,0.1015,
0.9358,-1.354,0.5248,7.54,-0.6262,
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0.4444,0.2922,2.858,1.231,0.3305,
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0.2567,-4.326,-2.199,2.971,0.1117,
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0.678,0.5454,-0.1333,0.8524,-0.9109,
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2.293,-1.253,1.847,-2.623,0.1058,
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1.398,-2.053,-1.622,3.222,-0.3067,
1.14,0.4817,2.964,1.704,-0.1689,
0.4121,1.079,-1.015,-2.726,-1.095,
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0.208,-0.5534,-0.1649,2.962,0.3826,
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0.9856,0.7967,-0.3386,-2.592,3.381,
2.368,3.08,1.07,0.6319,-0.8624,
3.328,-2.56,-1.065,4.232,-0.2343,
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3.75,2.241,2.017,-1.125,2.215,
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0.5079,0.7693,-2.354,2.801,-0.5844,
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0.08029,1.642,-0.4918,-4.393,2.324,
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0.4794,-1.459,-2.585,4.686,-1.601,
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-3.023,-0.9343,0.5218,-2.166,-1.345,
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0.2202,0.5638,-3.433,0.504,-0.5932,
0.7483,-0.778,-1.404,3.011,-2.474,
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4.821,0.163,2.295,-2.974,1.506,
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1.182,0.924,4.426,-2.081,-2.835,
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1.447,0.2403,1.607,1.519,-0.2169,
1.504,-1.095,1.345,0.279,-0.0485,
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1.081,3.151,-2.392,-2.222,-0.8739,
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0.106,-0.2041,-1.461,-2.543,1.312,
1.749,1.934,-1.715,2.196,-2.699,
4.956,-1.863,-1.274,0.5282,-1.031,
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3.359,-0.2273,0.5529,0.3133,2.254,
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-1.355,-1.706,-1.765,0.666,-1.46,
-3.485,-4.716,1.036,0.6194,0.5673,
-0.0278,2.476,0.08088,0.979,1.252,
-0.4751,0.5128,0.5062,1.788,-1.48,
-1.723,-1.784,0.1784,5.317,-0.5164,
1.35,-2.848,0.8499,0.5788,-2.297,
-0.5443,1.263,0.3866,-1.768,1.145,
0.8632,-0.9191,1.093,1.526,-1.531,
-0.7372,0.6233,-0.1323,2.483,-2.124,
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0.3631,-4.033,-1.101,2.131,-0.03802,
2.753,-0.8265,0.8174,-2.562,2.967,
1.207,2.02,0.557,1.2,2.133,
2.209,-1.817,-1.339,1.465,-1.234,
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3.186,-1.1,-0.05891,-0.5424,2.444,
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