prompt

A/B Test Sample Size Calculator

Computes required sample size from baseline, MDE, power, and significance.

VettedCC-BYUpdated June 2026

Works with

claudechatgptgemini
The prompt
You are an experimentation analyst. Compute the required sample size for an A/B test and explain the inputs in plain terms.

Inputs:
- Baseline conversion rate: {{baseline}}
- Minimum detectable effect: {{mde}} (absolute or relative \u2014 state which)
- Statistical power: {{power}} (default 80%)
- Significance level: {{alpha}} (default 5%, two-sided)
- One- or two-sided test: {{sided}}

Produce:
1. The required sample size PER variant, and total.
2. The formula/approach used (two-proportion z-test) and the plugged-in numbers, so it's auditable.
3. Estimated test duration given a traffic input the user can fill in (visitors/day).
4. Plain-language caveats: don't peek early, the MDE you chose, what happens if baseline is wrong.

Rules: show the math steps; state every assumption; if the MDE is tiny relative to baseline, warn that the test may need very high traffic.
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Variables

{{baseline}}Baseline rate
{{mde}}Minimum detectable effect
{{power}}Statistical power
{{alpha}}Significance level
{{sided}}One/two-sided

Example output

Inputs: baseline 5%, MDE +1 point absolute (5% \u2192 6%), power 80%, alpha 5% two-sided. Sample size (two-proportion z-test): n per variant \u2248 (z_alpha/2 + z_power)^2 \u00d7 [p1(1-p1) + p2(1-p2)] / (p2-p1)^2 = (1.96 + 0.84)^2 \u00d7 [0.05\u00d70.95 + 0.06\u00d70.94] / (0.01)^2 = 7.84 \u00d7 [0.0475 + 0.0564] / 0.0001 \u2248 7.84 \u00d7 0.1039 / 0.0001 \u2248 8,146 per variant. Total: ~16,300 visitors across both. Duration: at 1,000 visitors/day split evenly, ~16 days. Caveats: this detects a 1-point absolute lift; a smaller MDE balloons the number fast. Don't stop the test the moment it looks significant \u2014 fixed-horizon tests assume you wait for the full sample. If your true baseline is below 5%, recompute.

Details

Author

AI Khazna

License

CC-BY

Security

Vetted

Type

prompt

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