Minimum Sample Size Calculator

Calculate the minimum sample size needed to achieve desired statistical power for various types of hypothesis tests.

Test Parameters

0.2 (small)0.5 (medium)0.8 (large)

Minimum Sample Size

32

One-sample t-test

Effect Size

0.5

Medium

Power

80%

Critical Values:

Z (alpha):

1.960

Z (power):

0.842

Alpha:

0.05

Minimum Sample Size for Power

This calculator determines the minimum number of observations needed to detect an effect of a given size with specified statistical power. Using too few subjects may result in a study that cannot detect real effects (Type II error), while using too many wastes resources.

Effect Size Guidelines

Small: 0.2

Subtle effect

Medium: 0.5

Visible effect

Large: 0.8

Obvious effect