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Credible Interval

Quick answer

A credible interval is a range of values within which a parameter (such as conversion rate or effect size) lies with a specified probability in Bayesian analysis, representing the uncertainty around an estimate after observing data. In A/B testing, it helps teams describe uncertainty, compare variants, and decide whether an observed lift is reliable enough to act on.

Key takeaways

  • Credible Interval helps evaluate whether an experiment result is reliable enough to act on.
  • It should be reviewed together with sample size, duration, effect size, and business impact.
  • It is most useful when the hypothesis and primary metric are defined before the test starts.

Definition

A credible interval is a range of values within which a parameter (such as conversion rate or effect size) lies with a specified probability in Bayesian analysis, representing the uncertainty around an estimate after observing data.

What Credible Interval means in A/B testing

Unlike frequentist confidence intervals, credible intervals can be directly interpreted as probability statements about the parameter of interest. A 95% credible interval means there's a 95% probability that the true value falls within that range, given the data and prior beliefs. Credible intervals are derived from the posterior distribution and naturally incorporate all sources of uncertainty in the analysis.

Why Credible Interval matters

Credible intervals provide an intuitive way to communicate uncertainty and effect sizes to stakeholders, avoiding the common misinterpretations associated with confidence intervals. They enable better risk assessment by clearly showing the range of plausible outcomes. When credible intervals for the difference between variations exclude zero, this provides strong evidence that one variation outperforms the other.

Example of Credible Interval

Your Bayesian A/B test analysis shows the new landing page has a conversion rate with a 95% credible interval of 4.2% to 5.8%, meaning you can be 95% certain the true conversion rate lies within this range, compared to the control's credible interval of 3.1% to 4.3%.

How to use Credible Interval

Use Credible Interval after you have chosen a primary metric and collected enough traffic for a reliable read. Avoid checking it in isolation; compare it with effect size, confidence, practical impact, and whether the test ran long enough to cover normal traffic patterns.

Common mistake

A common mistake is treating Credible Interval as a yes-or-no shortcut while ignoring sample size, test duration, and practical business impact. A statistically interesting result can still be too small, too noisy, or too risky to ship.

Related A/B testing terms

FAQ

What does credible interval mean in A/B testing?

A credible interval is a range of values within which a parameter (such as conversion rate or effect size) lies with a specified probability in Bayesian analysis, representing the uncertainty around an estimate after observing data. In A/B testing, it helps teams describe uncertainty, compare variants, and decide whether an observed lift is reliable enough to act on.

Why does credible interval matter for experiments?

Credible intervals provide an intuitive way to communicate uncertainty and effect sizes to stakeholders, avoiding the common misinterpretations associated with confidence intervals. They enable better risk assessment by clearly showing the range of plausible outcomes. When credible intervals for the difference between variations exclude zero, this provides strong evidence that one variation outperforms the other.

How should teams use credible interval in an experiment?

Use Credible Interval after you have chosen a primary metric and collected enough traffic for a reliable read. Avoid checking it in isolation; compare it with effect size, confidence, practical impact, and whether the test ran long enough to cover normal traffic patterns.

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