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This skill provides a comprehensive workflow for performing Bayesian inference within Claude Code using the PyMC library. It guides users through the entire probabilistic programming lifecycle, including data preparation, weakly informative prior selection, hierarchical model construction, and high-performance MCMC sampling via NUTS. The skill emphasizes best practices like non-centered parameterization for multilevel models, rigorous diagnostic checks using R-hat and ESS, and model comparison through information criteria like LOO and WAIC, ensuring statistically sound results for complex data analysis tasks.