structural:scholar_edition
The odds ratio

For a continuous independent variable the odds ratio can be defined as:

This exponential relationship provides an interpretation for β 1 {\displaystyle \beta _{1}}: The odds multiply by e β 1 {\displaystyle e^{\beta _{1}}} for every 1-unit increase in x.

For a binary independent variable the odds ratio is defined as a d b c {\displaystyle {\frac {ad}{bc}}} where a, b, c and d are cells in a 2×2 contingency table.