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Conducting Bayesian Analysis Online Using BUGS
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Built-in models:Linear regression
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!Model The multiple linear regression model with dependent variable \(y\) and independent variables \(\mathbf{x}=(x_{1},\ldots,x_{p})\), {{%% \[ y_{i}=\beta_{0}+\beta_{1}x_{1}+,\ldots,+\beta_{p}x_{p}+e_{i} \] %%}} where \(e_{i}\) is usually assumed to be iid \(N(0,\phi)\). As an example, we let \(p=2\) in the code. !Code {{ model{ for (i in 1:N){ mu[i]<-beta0+beta1*(x1[i]-mean(x1[]))+beta2*(x2[i]-mean(x2[])) y[i] ~ dnorm(mu[i],pre.phi) } beta0~dnorm(0,1.0E-6) beta1~dnorm(0,1.0E-6) beta2~dnorm(0,1.0E-6) pre.phi~dgamma(.001,.001) phi<-1/pre.phi } }}
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. Last changed: 2014/11/12 02:44
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