bayes-factor-evidence-ratio-definition
IN premise — summaries/2026/08/24/wiki-Bayesian_inference.md
Created 2026-08-25T02:58:45+00:00
The Bayes factor is defined as P(E|H₁)/P(E|H₂) and quantifies relative evidence for one hypothesis over another.
Summary
To compare two competing explanations, you divide how likely the observed data would be under the first explanation by how likely it would be under the second; the resulting ratio tells you which explanation the data supports more strongly and by how much. This is the core calculation the system uses to shift confidence from one hypothesis to another when new evidence arrives.