# regression toward the mean

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 Noun 1 regression toward the mean - 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)statistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parametersstatistical method, statistical procedure - a method of analyzing or representing statistical data; a procedure for calculating a statisticregression analysis - the use of regression to make quantitative predictions of one variable from the values of anotherlinear regression, rectilinear regression - the relation between variables when the regression equation is linear: e.g., y = ax + bcurvilinear regression - the relation between variables when the regression equation is nonlinear (quadratic or higher order)
References in periodicals archive ?
Study limitations include potential lack of generalizability to clinical settings and reliance on self-reported sexual practices, according to the investigators; also, the results may have been influenced by treatment adherence, and the trend toward safer behaviors may have reflected regression toward the mean or greater loss to follow-up of participants having risk behaviors.
To control for regression toward the mean, we also included an untreated control group of 18 participants.
One of the tenets of recent baseball analytical scholarship is the significance of regression toward the mean.
The danger rests in its unreliability, whether due to a lack of random assignment (despite idiosyncrasies in admissions processes, students are not randomly assigned to attend different institutions), ceiling effect, or regression toward the mean from the pre- to the post-test (Ternezini, 2010), never mind the question of student motivation on performance measures devoid of context or connection to their courses or other educational experiences.
If the concept of regression toward the mean holds, would it be expected that the beta of XYZ will rise or fall?
Mlodinow provides lessons on what he calls "a field of subtlety," from the basic laws of probability, to regression toward the mean and availability bias.

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