#3135 · AI & Technology Tool

A/B Experiment Statistical Power Calculator

Estimate the probability that a two-sided A/B conversion test will detect the specified lift at a chosen sample size. Use it to check whether an existing traffic plan is sufficiently sensitive before launching or interpreting a fixed-horizon experiment.

Calculator

Enter your assumptions
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users
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How to use this calculator

  1. Enter the baseline measurements or experiment assumptions.
  2. Confirm that each unit matches the label beside the field.
  3. Select Calculate to update the main and secondary results.
  4. Review the interpretation and test a second scenario.

Formula

Power ≈ Φ(|Δ|/SE₁ − zα) + Φ(−|Δ|/SE₁ − zα)

The critical threshold uses the pooled null standard error; power is evaluated under the entered alternative.

What the result means

Power is the chance of rejecting the equal-rate null when the entered conversion rates are the true rates.

The approximation assumes independent users, equal group sizes, one final analysis, and a binary outcome.

Example calculation

With 15,000 users per variant, rates of 10% and 11%, and 95% confidence, estimated power is about 81%.

Tips for better results

  • Use recent, representative measurements rather than optimistic targets.
  • Run a conservative scenario as well as the expected case.
  • Keep units and time periods consistent across every input.
  • Document assumptions so the estimate can be reproduced.
  • Recalculate when traffic, rates, prices, or experiment rules change.

Frequently asked questions

What assumptions does this a/b experiment statistical power estimate use?

It uses the inputs, formula, units, and independence assumptions shown on this page. Change the inputs to match your own system or experiment.

How should I handle traffic or outcome variability?

Use representative averages for planning, preserve headroom where applicable, and test multiple plausible scenarios instead of relying on one point estimate.

Can I use the result as a production or launch guarantee?

No. The result is a planning estimate. Validate it with measured data, monitoring, load tests, or an experiment-design review as appropriate.

What happens if I enter zero or an invalid value?

The calculator checks values required by the formula and displays an error instead of returning NaN or Infinity. Valid zero values remain available where they are meaningful.

Why might another tool return a different answer?

Tools may use different statistical approximations, unit conventions, rounding rules, priors, confidence definitions, or operational headroom assumptions.

Variables and units

VariableUnitMeaning
Δpercentage pointsVariant rate minus baseline
SE₁proportionStandard error under the alternative
PowerprobabilityDetection probability if the effect is real

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