A/B Test Result Checker

Did my test really win, or was it luck?

Also known as: A/B test significance calculator

Test results

Control (A)
Variant (B)
Settings

Significant at 95%

p = 0.0310
Relative lift
22.5%
95% interval for the lift
2.1% to 42.9%
Conversion rates
2% → 2.45%
Chance B beats A
98.4%

Bayesian, flat prior.

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How it works

How does the A/B Test Result Checker work?

A two-proportion z-test compares the two conversion rates; the p-value is the chance of a difference this large if the versions were really the same. The confidence interval shows the plausible range of the true lift.

  • z = (p₂ − p₁) ÷ √(p̄(1−p̄)(1/n₁ + 1/n₂)) with the pooled rate p̄; p-value is two-sided.
  • The confidence interval for the difference uses the unpooled standard error.
  • Probability to beat control uses Beta(1+conversions, 1+non-conversions) posteriors (a flat prior), approximated as normal.
  • Stopping before the planned sample size raises the false-positive rate, so the tool flags it.

Worked example

Control 200 conversions from 10,000 visitors (2.00%); variant 245 from 10,000 (2.45%). The lift is 22.5%, z = 2.16, p = 0.031: significant at 95%. The 95% interval for the lift is 2.1% to 42.9%, and the chance the variant is better is 98.4%.

Limits

Statistical significance isn't business significance: a real but tiny lift may not be worth shipping. The normal approximation needs reasonably large counts.

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