What does regression toward the mean mean?

Definitions for regression toward the mean
re·gres·sion to·ward the mean

This dictionary definitions page includes all the possible meanings, example usage and translations of the word regression toward the mean.

Princeton's WordNet

  1. regression, simple regression, regression toward the mean, statistical regressionnoun

    the relation between selected values of x and observed values of y (from which the most probable value of y can be predicted for any value of x)

ChatGPT

  1. regression toward the mean

    Regression toward the mean is a statistical phenomenon stating that data points that are initially extreme will tend to move closer to the mean in subsequent measurements. This means that if a variable is extreme on its first measurement, it will tend to be closer to the average on its second measurement, and if it is extreme on its second measurement, it will tend to be closer to the average on its first.

Wikidata

  1. Regression toward the mean

    In statistics, regression toward the mean is the phenomenon that if a variable is extreme on its first measurement, it will tend to be closer to the average on its second measurement—and, paradoxically, if it is extreme on its second measurement, it will tend to be closer to the average on its first. To avoid making wrong inferences, regression toward the mean must be considered when designing scientific experiments and interpreting data. The conditions under which regression toward the mean occurs depend on the way the term is mathematically defined. Sir Francis Galton first observed the phenomenon in the context of simple linear regression of data points. However, a less restrictive approach is possible. Regression towards the mean can be defined for any bivariate distribution with identical marginal distributions. Two such definitions exist. One definition accords closely with the common usage of the term “regression towards the mean”. Not all such bivariate distributions show regression towards the mean under this definition. However, all such bivariate distributions show regression towards the mean under the other definition. Historically, what is now called regression toward the mean has also been called reversion to the mean and reversion to mediocrity.

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Numerology

  1. Chaldean Numerology

    The numerical value of regression toward the mean in Chaldean Numerology is: 8

  2. Pythagorean Numerology

    The numerical value of regression toward the mean in Pythagorean Numerology is: 6


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"regression toward the mean." Definitions.net. STANDS4 LLC, 2024. Web. 13 Apr. 2024. <https://www.definitions.net/definition/regression+toward+the+mean>.

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