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Statistical Power

A test needs enough people and enough time before its result means anything.

Test duration depends on traffic, baseline rate, and minimum detectable effect.

Statistical Power, side by side

Under-powered tests read noise as a winner. Size the sample first, and don't stop the moment it looks good.

How to apply it

Use a sample-size calculator before launching. Stopping early inflates false positives.

Statistical Power in practice: a concrete example

The test you stopped reading too early

An A/B test shows the variant up 12% after two days and it is tempting to ship it. But with low traffic and a small baseline rate, that early lead is mostly noise, and calling it now inflates the chance of a false win. Statistical power is about running long enough (traffic, baseline rate, and the effect you want to detect together) to tell a real difference from randomness. Put the numbers into a sample-size calculator before you launch, then wait for it.

Common Statistical Power mistakes

  • Peeking at the results and stopping the moment the line looks good, which sharply inflates false positives.
  • Running a test on traffic too thin to ever detect the effect size you care about, so it is inconclusive by design.
  • Ignoring the minimum detectable effect: a test powered to catch a 20% lift will call a real 3% lift a tie.

When Statistical Power doesn't apply

Formal power analysis is for decisions that hinge on a small, measurable difference. For a large, obvious change, or a product with too little traffic to ever reach significance, waiting months for a p-value is the wrong tool, and a qualitative read or a clear product judgment serves better. Rigour is worth it in proportion to the cost of being wrong.

Practise it on a real challenge

CTA Copy — 'Get started' vs 'Try free for 14 days'

PM wants to test 'Get started' vs 'Try free for 14 days'.

Put Statistical Power into practice

  • SaaS Product Design Tracker — From feature backlog to launch — prioritise, test, QA, ship.

More UX laws

  • Funnel Triage
  • Single-Variable Testing
  • Nielsen's 5-User Rule
  • Tesler's Law
  • Time-to-Value
  • Token Layering
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