Statistics & Probability
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Odds Form of Bayes

Updates odds using a likelihood ratio.

Formula

O(A∣B)=O(A)×P(B∣A)P(B∣¬A)O(A|B) = O(A)\times \frac{P(B|A)}{P(B|\neg A)}

Variables

OOdds
PProbabilities

Example

Evidence multiplies prior odds

Did You Know?

The Bayes factor weighs how much the evidence favours one hypothesis over another, updating belief with data.

inference