F79Bi Bayesian Inference And Assessment Answer
seGibbs samplinganddata augmentationto simulate from the joint poste-riorπ(λ1,λ2,q|y,s). You should assume that errors in recording individuals’1types are independent over individuals and thata prioriλ1,λ2andqareindependent. You should ensure you carry out the following tasks:•Present appropriate graphical representations of the data.Give a description of your MCMC algorithm (with your R code includedin an appendix). Your description should make clear the additionalparameters with which you augment the original parameter vector andhow each individual parameter is updated (explicitly identifying therespective conditional densities).[6 marks]•Present histograms and credible intervals for the marginal distributionsofλ1,λ2andq. Comment on the extent to which your beliefs on theseparameters have changed in the light of the data.•Present appropriate plots to illustrate how well your Markov chain ismixing and comment on these
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