Bayesian Images

Graphs to accompany my poster presentation.

The data set

The generated data is plotted below: data

Metropolis Hastings Algorithm

mhalgo

This visual explanation of the Metropolis Hastings algorithm shows the proposal and the true density along with the Metropolis Hastings step. It was inspired and adapted from code by Balazs Torok.

Diagnostic Plots for Beta 2 via Gibbs Sampler

Autocorrelation Plot

acf

The autocorrelations are negligable, suggesting good mixing.

Running Means Plot

rmp

The running means have settled.

Three chain trace plot

traceplot

All three chains seem to be in the same place.

Posterior Predictive Checks

ppcheck

On the left side you can see the two predictive check using the maximum as a statistic. On the right hand side you see the maximum as a statistic, and on the left hand side you see the mean.

priorPred

This is a check of predictive accuracy of both models, for all cases, ordered from greates to smallest.

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