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ClinicalTrialsEstimation/r-analysis/Hierarchal_Logistic.stan

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//
// This Stan program defines a simple model, with a
// vector of values 'y' modeled as normally distributed
// with mean 'mu' and standard deviation 'sigma'.
//
// Learn more about model development with Stan at:
//
// http://mc-stan.org/users/interfaces/rstan.html
// https://github.com/stan-dev/rstan/wiki/RStan-Getting-Started
//
// The input data is a vector 'y' of length 'N'.
data {
int<lower=1> D;
int<lower=1> N;
int<lower=1> L;
int<lower=0, upper=1> y[N];
int<lower=1, upper=L> ll[N];
row_vector[D] x[N];
}
parameters {
real mu[D];
real<lower=0> sigma[D];
vector[D] beta[L];
}
model {
sigma ~ gamma(2,1); //shape and inverse scale
mu ~ normal(0, 1); //convert to mvnormal
for (l in 1:L) {
beta[l] ~ normal(mu, sigma);
}
{
vector[N] x_beta_ll;
for (n in 1:N) {
x_beta_ll[n] = x[n] * beta[ll[n]];
}
y ~ bernoulli_logit(x_beta_ll);
}
}