regression toward the mean
statistical phenomenon
Facts
8 properties- Instance of
- phenomenon, empirical statistical law
- Subclass of
- phenomenon
- Defining formula
- \forall c\colon\mathbb E[X_1 | X_1 < c] < \mathbb E[X_2 | X_1 < c] \le \mathbb E[X_1] = \mathbb E[X_2] \le \mathbb E[X_2 | X_1 > c] < \mathbb E[X_1 | X_1 > c]
- Different from
- mean reversion, regression
- Discoverer or inventor
- Francis Galton
- Has effect
- regression fallacy
- Maintained by WikiProject
- WikiProject Mathematics
- Time of discovery or invention
- 1886
🏷️ Also known as
en mean regression
en reversion to the mean
en reversion to mediocrity
en regression toward the mean
en regression to the mean
ar الانحدار نحو الوسط
cs regrese k průměru
da regression mod gennemsnittet
de Regression zur Mitte
de Regression zum Mittelwert
de Regressionseffekt
es regresion a la media
es regresión a la media
fa برگشت به میانگین
fr régression vers la moyenne
he תסוגה לממוצע
it regressione verso la media
ja 回帰効果
ja 平均への回帰
ja 平均回帰
🔖 Identifiers · 7
- OpenAlex ID
- C190403672
- Encyclopædia Britannica Online ID
- topic/regression-to-the-mean
- Freebase ID
- /m/019f21
- MathWorld ID
- ReversiontotheMean
- Microsoft Academic ID (discontinued)
- 190403672
- Quora topic ID
- Regression-Toward-the-Mean
🔗 Connections
Discoverer or inventor 1
Has effect 1
Instance of 1
Maintained by WikiProject 1
Subclass of 1
← Has cause 1
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Summary
regression toward the mean is a phenomenon[1].
Key Facts
- Discoverer or inventor: Francis Galton[2]
- Instance of: empirical statistical law[3]
- Subclass of: phenomenon[4]
- Time of discovery or invention: 1886[5]
- Has effect: regression fallacy[6]
- Different from: mean reversion[7], regression[8]
- regression toward the mean's defining formula is recorded as \forall c\colon\mathbb E[X_1 | X_1 < c] < \mathbb E[X_2 | X_1 < c] \le \mathbb E[X_1] = \mathbb E[X_2] \le \mathbb E[X_2 | X_1 > c] < \mathbb E[X_1 | X_1 > c]<sup id="cite-C17" class="cite-ref" title="regression toward the mean — defining formula (P2534): \forall c\colon\mathbb E[X_1 | X_1 < c] < \mathbb E[X_2 | X_1 < c] \le \mathbb E[X_1] = \mathbb E[X_2] \le \mathbb E[X_2 | X_1 > c] < \mathbb E[">[?].
- Maintained by WikiProject: WikiProject Mathematics[9]