## 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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-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,
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-3.362,0.1048,0.8371,3.385,0.1558,
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0.4444,0.2922,2.858,1.231,0.3305,
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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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0.4794,-1.459,-2.585,4.686,-1.601,
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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,
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1.081,3.151,-2.392,-2.222,-0.8739,
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1.35,-2.848,0.8499,0.5788,-2.297,
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