Bayesian Meta-Analysis

An attempt to understand Bayesian statistics

Data Science
R
2026
Data Analysis
Bayesian
Machine Learning
Regression Analysis
Author

Peter Gray

Published

September 1, 2025

Document

Document

In this document, I demonstrated my Bayesian workflow by using fractional polynomials to impute missing standard deviations before building a random-effects meta-analysis model with brms. I checked model stability by assessing convergence with MCMC trace plots and evaluating fit with posterior predictive checks. Finally, I conducted sensitivity analyses using alternative priors and MICE imputation , and compared my posterior distributions against a frequentist framework.

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