Homework 6.1: Diagnosing nonidentifiability with MCMC (40 pts)

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In Homework 1.3c and in Homework 2.3c, you respectively used frequentist techniques and brute-force plotting of the posterior to diagnose nonidentifiability in two models.

a) In those models, we used Jeffreys priors. Re-write the models using reasonable weakly informative priors.

b) Use MCMC to diagnose the nonidentifiability in the models.