model
    {
       for (i in 1 : N) {
      
    x[i] ~ dbern(q) # incidence of HSV
      
    logit(p[i]) <- beta0C + beta * x[i]   # logistic model
      
    d[i] ~ dbern(p[i]) # incidence of cancer
      
    x1[i] <- x[i] + 1
      
    d1[i] <- d[i] + 1
      
    w[i] ~ dbern(phi[x1[i], d1[i]])   # incidence of w
   
    }
   
    q ~ dunif(0.0, 1.0) # prior distributions
   
    beta0C ~ dnorm(0.0, 0.00001);
   
    beta ~ dnorm(0.0, 0.00001);
   
    for(j in 1 : 2) {
      
    for(k in 1 : 2){
            phi[j, k] ~ dunif(0.0, 1.0)
      
    }
       }
    # calculate gamma1 = P(x=1|d=0) and gamma2 = P(x=1|d=1)
       gamma1 <- 1 / (1 + (1 + exp(beta0C + beta)) / (1 + exp(beta0C)) * (1 - q) / q)
       gamma2 <- 1 / (1 + (1 + exp(-beta0C - beta)) / (1 + exp(-beta0C)) * (1 - q) / q)
   }