# Bayes’ rule: Log-odds form

source: https://ift.tt/nOa08xA tags: #literature uid: 202212101127 — Context: bayes theorem 202212092211

The Weber-Fechner law says that most human sensory perceptions are logarithmic, in the sense that a factor-of-2 intensity change feels like around the same amount of increase no matter where you are on the scale. Doubling the physical intensity of a sound feels to a human like around the same amount of change in that sound whether the initial sound was 40 decibels or 60 decibels. That’s why there’s an exponential decibel scale of sound intensities in the first place!

Thus the log-odds form should be, in a certain sense, the most intuitive variant of Bayes’ rule to use: Just add the evidence-strength to the belief-strength! If you can make your feelings of evidence-strength and belief-strength be proportional to the logarithms of ratios, that is.

Date

February 22, 2023

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