Hello,
I want to specify two model, one is logistic model,
(1) y \sim Binominal(p)
logit(p)=log(p/1-p)=\beta_0+X\beta+\alpha
where \beta \sim N(0,10000), \alpha \sim N(0,0.001)
and I specify by:
prior_logit<-prior(normal(0,10000),class=b,coef=f1)+prior(normal(0,10000),class=b,coef=f2)+
prior(normal(0,10000),class=b,coef=f3)+prior(normal(0,10000),class=b,coef=f4)+
prior(normal(0,10000),class=b,coef=f5)+prior(normal(0,10000),class=b,coef=f6)+
prior(normal(0,0.001),class=Intercept)
model_logit<-brms::brm(y~f1+f2+f3+f4+f5+f6,
data=s,family=bernoulli,warmup=1000,iter=5000,chains=1,prior=prior_test)
(2) model 2 is logistic random effect model,
y \sim Binominal(p)
logit(p)=log(p/1-p)=\beta_0+X\beta+u_j(i)
where \beta \sim N(0,10000), u_j(i) is grouping factor, u_j \sim N(0,\tau), \tau \sim gamma(0.001,0.001)
and I specify in brms:
prior_re<prior(normal(0,10000),class=b,coef=f1)+prior(normal(0,10000),class=b,coef=f2)+
prior(normal(0,10000),class=b,coef=f3)+prior(normal(0,10000),class=b,coef=f4)+
prior(normal(0,10000),class=b,coef=f5)+prior(normal(0,10000),class=b,coef=f6)+
prior(gamma(0.001,0.001),class=sd)
model_re<-brms::brm(y~f1+f2+f3+f4+f5+f6+(1|u),
data=s,family=bernoulli,warmup=1000,iter=5000,chains=1,prior=prior_re)
Am I specify the model correctly? Thanks!