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Anything you can do with Bayesian inference you can do in other ways. Bayesian inference is a bit like calculus: You can do derivatives and integrals without calculus (indeed, mathematicians in pre-Newtonian times were able to compute limits, with care), but calculus makes it a lot easier. Similarly, I find that Bayesian inference makes it a lot easier to combine information.
Statistical Modeling, Causal Inference, and Social Science 06/05/2025