Most logistic regression software outputs (or can be asked to output) odds ratios along with the regression coefficients. These odds ratios are the exponential of the corresponding regression coefficient:

For example, if the logistic regression coefficient is the odds ratio is .

## Interpretation

The odds ratio is the multiplier that shows how the odds change for a one-unit increase in the value of the . Continuing the example above, if the odds are 1 to 4 or 0.25, then increasing the variable by 1 unit will change the odds to or pretty close to 1 to 3.

Note: Do not confuse the odds of 0.25 as a probability — the corresponding probability is 0.20. Similarly, the odds of 0.32 corresponds to a probability of 0.242.

Another way to try to interpret the odds ratio is to look at the fractional part and interpret it as a percentage change. For example, the odds ratio of 1.28 corresponds to a 28% increase in the odds for a 1-unit increase in the corresponding .

The formula is:

As a final example, if the odds ratio is 0.94, then there is a 6% decrease in the odds for a 1-unit increase in the corresponding .