Statistics

Power Analysis Calculator

Estimate statistical power for a one-sample test.

Parameters Live Compute
Calculated Output
Statistical power (%) 78.191
Formula: power = normal CDF of (d*sqrt(n) - z_alpha/2)
Step-by-Step Breakdown
1. Values used:
2. Effect size (Cohen's d) = 0.5
3. Sample size = 30
4. Significance level = 0.05
5.
6. Statistical power = 78.191%
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Statistical power is the chance of detecting a real effect of a given size.

The math behind it

Power rises with effect size, sample size and alpha. Researchers usually target at least 80%.

Worked Example

d 0.5, n 30, alpha 0.05 gives about 75% power.

Frequently Asked Questions

What if power is too low?

Increase the sample size or expect a larger effect.

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