Bayesian A/B Test Calculator
Calculate your A/B test results using a Bayesian approach
How to Use This Bayesian A/B Test Calculator
- Enter the number of participants and conversions for Variations A and B.
- Adjust the prior distribution parameters if you have prior knowledge about conversion rates.
- Use the "Prior Distribution" tab to set Alpha and Beta values.
- A uniform prior (Alpha = Beta = 1) represents no prior knowledge.
- Higher values for Alpha and Beta represent stronger prior beliefs.
- Review the Bayesian Analysis Results for a summary of your test outcomes.
- Examine the Posterior Distributions chart to visualize the updated beliefs about conversion rates.
- Check the Probability of Improvement chart for a clear representation of the likelihood that one variation outperforms the other.
- Use the Highest Density Interval (HDI) to understand the range of plausible values for the true difference in conversion rates.
Key Terms and Definitions
- Prior Distribution
- The initial belief about the conversion rates before seeing the data. It's defined by Alpha (successes) and Beta (failures) parameters.
- Posterior Distribution
- The updated belief about the conversion rates after observing the data. It combines the prior distribution with the observed data.
- Highest Density Interval (HDI)
- The range of values containing a specified probability mass (usually 95%) of the posterior distribution. It represents the most credible values for the parameter.
- Expected Lift
- The estimated percentage improvement of one variation over another, based on the posterior distributions.
- Probability B > A
- The likelihood that Variation B outperforms Variation A, calculated from the posterior distributions.