regression to the mean

Extremes fade centrally

Regression to the mean is the statistical tendency for extreme measurements to be followed by less extreme ones.

A student who scores unusually high on one test will likely score closer to average on the next—not because performance declined, but because the first score included some luck.

The sophomore slump is often just regression to the mean.

The phenomenon appears everywhere: sports, medicine, gambling.

It explains why the tallest parents tend to have shorter children, and why miracle cures often seem to work—patients seek treatment when symptoms peak, then naturally improve.

statistics

central tendency

Data's typical value

sample size · outliers · probability · variance · data set · law of large numbers · sampling error · expected value · confidence interval · measurement error

equilibrium

reversion

Return to former state

adjustment · settling · leveling off · moderation · dampening · centering · drift · attraction · tendency · gravitational pull

applications

sports performance

Quality of competitive play

heredity · spontaneous remission · investment returns · economic cycles · academic performance

prediction

forecasting

Estimating future conditions

estimation · inference · trend analysis · overestimation · underestimation · follow-up · sophomore slump · gambler's fallacy · base rate · Bayesian

Opposites
statistical direction

regression to the meanrunaway effect

Self-reinforcing acceleration

amplification · escalation · positive feedback · snowball effect · compounding

persistence of extremity

regression to the meanpath dependence

Past decisions constrain future options

momentum · hot hand

causal interpretation

regression to the meansignal

Message-conveying cue

structural change

Family

regression, regress, regressive, regressively, regressed, regressing, regressor, meaning, meanly

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