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Life Science Dictionary

Odds ratio

Epidemiology · Medicine

Say it: ODZ RAY-shee-oh

An odds ratio is a measure of association that compares the odds of an outcome or exposure in one group with the odds in another group.

Also: OR, odds ratios, relative odds, cross-product ratio

Definition

What is an odds ratio?

An odds ratio (OR) compares the odds of an event in one group with the odds of the same event in another. Odds are not the same as probability: they are the chance that something happens divided by the chance that it does not, so a probability of one in five gives odds of one to four. In a two-by-two table of exposure against disease, the odds ratio is the product of the two diagonal cells divided by the product of the other two, which is why it is also called the cross-product ratio.

An odds ratio of 1 means the exposure makes no difference to the odds of the outcome. A value above 1 means higher odds among the exposed, pointing to a possible risk factor, and a value below 1 means lower odds, pointing to a possible protective factor. A 95 percent confidence interval that excludes 1 is usually read as statistically significant. Like any measure of association, an odds ratio does not prove causation, because confounding factors can create a link.

The odds ratio is the standard measure for case–control studies, where true risks cannot be calculated. When a disease is rare, it closely approximates the risk ratio. Logistic regression also reports its results as odds ratios.

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