Log (Odds)

  • The scale in original Odds is not symmetrical
    • The odds of something happening can go from 1 to infinity
    • But the odds of something not happening can go from 1 to 0 which is a small space
    • This asymmetry makes it difficult to compare the odds

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[!def] Log Odds Formula
\text{Log-Odds} = log \frac{\text{# of Something Happening}}{\text{# of Something not Happening}}
\text{Log-Odds} = log \frac{probability}{1 - probabiliy}

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