Math Says Yes
Concept

Statistical Power

Statistical power is the chance that a study will detect an effect of a given size if that effect is real. Low-powered studies can miss real effects, while very large studies can detect effects too small to matter in practice.

Lessons

A shrinking error band that narrows slowly as data blocks increase.
Precision Has Square-Root Returns
More data helps, but random error shrinks slowly: to halve the noise in an average, you usually need four times as many observations.

Related Facts

Risk & Decisions
4 min ยท medium
A faint signal line hidden inside noisy dots, with a larger sample revealing it.
Statistical power: a small study can miss a real effect
A study can report 'no clear effect' simply because it was too small and noisy to spot a real one.

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