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Conversion-rate sample size

Conversion-rate sample size: Approximate sample per variant = 2 × p̄(1−p̄) × (zα + zβ)² ÷ absolute difference².

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How it works

Approximate sample per variant = 2 × p̄(1−p̄) × (zα + zβ)² ÷ absolute difference².

Input definitions

Baseline conversion (%)
Enter the value in the labeled unit.
Minimum detectable absolute change (percentage points)
Enter the value in the labeled unit.
Two-sided confidence z value
Enter the value in the labeled unit.
Power z value
Enter the value in the labeled unit.

A worked example

Baseline conversion (%)
5
Minimum detectable absolute change (percentage points)
1
Two-sided confidence z value
1.96
Power z value
0.84
8150

Assumptions & limits

Uses only the values entered. Rates are illustrative inputs, not live quotes, legal rules or personalised advice. Check provider terms, local requirements and measurements before acting.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-19. Content checked against the stated method and examples. Our verification approach.

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Common questions

Is this exact for every experiment?

No. Sequential testing, unequal allocation, multiple comparisons and very small rates need a more specific design.

How does Conversion-rate sample size calculate the result?

Approximate sample per variant = 2 × p̄(1−p̄) × (zα + zβ)² ÷ absolute difference².

What should I verify before using Conversion-rate sample size?

Uses only the values entered. Rates are illustrative inputs, not live quotes, legal rules or personalised advice. Check provider terms, local requirements and measurements before acting.

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