regression-to-the-mean

Installation
SKILL.md

Regression to the Mean

Overview

Regression to the mean is the statistical regularity that any noisy measurement producing an extreme value tends to be followed on retest by a less-extreme value — because the extreme portion was partly driven by non-repeating random noise. There is no "force pulling back to average"; it is a mathematical consequence of signal + noise structure.

Named by Francis Galton (1886) studying parent-child height: tall parents have tall children, but slightly shorter; short parents have short children, but slightly taller. Kahneman's Israeli Air Force example (2011, Ch. 17) is the most-cited operational case — flight instructors concluded punishment works and praise doesn't, but were observing regression, not causation.

Composes with survivorship-bias (extreme survivors regress), probabilistic-thinking (regression is probabilistic), narrative-fallacy (regression drives post-hoc narratives), fundamental-attribution-error (attributing regression to character/intervention is FAE).

When to Use

Installs
3
GitHub Stars
10
First Seen
Jul 9, 2026
regression-to-the-mean — deciqai/knowledge-skills