Stats Assistance
Plan before you collect

Sample Size Calculator

How many participants do you need? Enter the smallest effect you care about detecting and the power you want, and get the required n. Runs a priori power analysis for t tests and two-proportion comparisons.

APA 7 write-up
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Why plan sample size in advance

An underpowered study cannot reliably detect the effect it was designed to find, and a significant result from one is more likely to be inflated. Funders, IRBs, and journals increasingly expect an a priori justification of sample size. Deciding n after seeing the data is not a justification.

Choosing the effect size

Base the expected effect on prior studies, a pilot, or the smallest effect that would matter in practice. When in doubt, power for a smaller effect than you hope for; the cost of a few extra participants is lower than the cost of an inconclusive study.

Method note

Calculations use the standard normal approximation formulas, n = 2(z1-α/2 + z1-β)²/d² for two groups, with results rounded up. These match tabled values closely; exact noncentral t solutions can differ by a participant or two for very small samples.