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Re:Bayesian Data Analysis, Third edition [pdf] by 1u15 on Sunday September 28, 2025 @04:42PM (#45407802)
Regression and Other Stories. It’s also co-authored by Gelman and it reads like an updated version of his previous book Data Analysis Using Hierarchical/Multilevel Models.

Statistical Rethinking is a good option too.

Re:Bayesian Data Analysis, Third edition [pdf] by armcat on Sunday September 28, 2025 @04:49PM (#45407859)
Can second Regression and Other Stories, it's freely available here: https://users.aalto.fi/~ave/ROS.pdf, and you can access additional information such as data and code (including Python and Julia ports) here: https://avehtari.github.io/ROS-Examples/index.html