Regression · Interpretation scales

An Odds Ratio Is Not a Risk Ratio

The same odds ratio can imply very different changes in probability, depending on where the comparison begins.

Page 1 of 7 · Big Picture

The big picture: An Odds Ratio Is Not a Risk Ratio

Why does an odds ratio depend on baseline risk when translated to probability?

Why a policy analyst should care

An odds ratio is native to a logistic model, but policy decisions often require predicted probabilities or people affected; translating between those scales requires the baseline probability.

Follow the idea from the opening question to a practical decision. These are the conceptual moves this module will develop:

1 Question One odds ratio, one policy meaning?
2 Explore Hold the odds ratio fixed
3 Formalize Move from odds to probability
4 Transfer Translate a real NHIS comparison

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