Table of contents
Odds Ratio
Definition
The odds of disease D, given exposure E, is
\[\begin{equation} OD(D|E) = \frac{P(D|E)}{P(\textit{not D}|E)} \end{equation}\]The odds ratio is
\[\begin{equation} OR = \frac{P(D|E) \times P(\textit{not D}|{\textit{not E}})}{P(\textit{not D}|E) \times P(D|\textit{not E})} \end{equation}\]