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use quap to construct a quadratic approximate posterior distribution for the chimpanzee model that includes a unique intercept for each actor, m11.4 (page 330). compare the quadratic approximation to the posterior distribution produced instead from mcmc. can you explain both the differences and the similarities between the approximate and the mcmc distributions? relax the prior on the actor intercepts to normal(0,10). re-estimate the posterior using both ulam and quap. do the differences increase or decrease? why?

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