#3137 · AI & Technology Tool

A/B Experiment Error Rate Calculator

Estimate expected false positives and missed effects across a portfolio of A/B experiments. Enter the number of tests, significance threshold, power, and expected share of true effects to separate Type I and Type II error counts.

Calculator

Enter your assumptions
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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

False positives = tests × (1 − true-effect share) × α
False negatives = tests × true-effect share × (1 − power)

What the result means

The result summarizes long-run expected errors across repeated experiments, not a guarantee for a particular test.

The true-effect share is an assumption. Dependence between tests and selective reporting can change realized error rates.

Example calculation

Across 100 experiments with α = 5%, 80% power, and 20% true effects, the long-run expectation is 4 false positives and 4 false negatives.

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 error rate 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
αprobabilityFalse-positive rate when no effect exists
1 − powerprobabilityFalse-negative rate for detectable effects
True-effect shareproportionPlanning assumption across tests

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