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Markov Chain Monte Carlo (MCMC) refers to a class of simulation methods for generating samples from a complex target distribution by generating random numbers from a Markov Chain whose stationary distribution is the target distribution. MCMC methods are typically used when more direct methods for random number generation (e.g. inversion method) are infeasible. The very first MCMC method was the Metropolis (et al.) algorithm, later expanded by Hastings.

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Gibbs sampler for a multilevel model with no predictors in R

I agree with @StephaneLaurent's comment, that the code is correct, but their description of how it works is not entirely accurate. To quote their exact description: What they're trying to communic …
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