Regression modelRegression / GLM

Bayesian Multiple Linear Regression

Bayesian Multiple Linear Regression models a continuous outcome as a linear combination of several predictors, but instead of producing a single point estimate it yields a full posterior distribution over all regression coefficients and the error variance. This makes uncertainty quantification explicit and allows seamlessly incorporating prior knowledge from theory or previous studies.

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Sources

  1. Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955
  2. Zellner, A. (1971). An Introduction to Bayesian Inference in Econometrics. Wiley. ISBN: 978-0471980650

Related methods

Referenced by

ScholarGateBayesian Multiple linear regression (Bayesian Multiple Linear Regression). Retrieved 2026-06-04 from https://scholargate.app/en/statistics/bayesian-multiple-linear-regression