Abstract
In research on individual and group differences, samples may be selected for study on the basis of whole scores that differ from the population mean. Also in clinical practice of assessment of exceptional children, a child is selected (i.e., diagnosed) on the basis of a total score followed by more specific evaluation based on the several part scores making up the whole score. These procedures produce regression to the population mean which can affect the accuracy and adequacy of part score interpretations, especially when each part score has a different correlation, within the population, with the whole score. The expected regression on a part score for a sample selected on a whole score that may differ from the population mean is derived. The effect of unreliability of the whole and part score scores upon the regression is also derived and an example of the results given.
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