Free Tools › Odds Ratio Calculator

Odds Ratio Calculator with 95% Confidence Interval

Enter a 2×2 table to calculate the odds ratio, its confidence interval and p-value. Zero cells are handled automatically.

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EventNo event
Exposed / treatment
Unexposed / control
Confidence level

Results

Odds ratio (OR)2.250
95% CI0.994 to 5.092
z statistic1.946
p-value (two-sided)0.052
SE of ln(OR)0.4167

The odds of the event are 2.25 times as high in the first group (95% CI 0.99 to 5.09). The confidence interval includes 1, so the data are compatible with no difference in odds.

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How to Use the Odds Ratio Calculator

  1. 1

    Enter the 2×2 table

    Events and non-events for each group.

  2. 2

    Choose the confidence level

    90%, 95% or 99%.

  3. 3

    Copy the result

    Use the APA-style sentence in your results section.

What is an odds ratio?

The odds ratio compares the odds of an event in one group with the odds in another. An odds ratio of 1 means no difference; above 1 means higher odds in the first group; below 1 means lower odds.

Odds ratios are the standard effect measure for case-control studies and logistic regression, and are widely used in meta-analyses of binary outcomes.

How it is calculated

Sources

Odds Ratio Calculator: FAQ

Is an odds ratio the same as a relative risk?

No. They are similar when the outcome is rare, but the odds ratio moves further from 1 than the risk ratio when outcomes are common. Use our relative risk calculator for risks.

What does it mean if the confidence interval includes 1?

The data are compatible with no difference in odds at your chosen confidence level.

How are zero cells handled?

When any cell is zero, 0.5 is added to all four cells so the odds ratio and its interval can be estimated.

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