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Relation of regression to selection

University of Illinois

Abstract

If one were to consult the dictionary for a definition of regression he probably would be obliged to content himself with essentially the follow ing information, "Regression is the fact that in associated or correlated pairs, on selecting one member with a given value for its character, the second has on the average a less value, regressing toward the value of the mean of all members of the class."

If one were to ask the same question of Galton or some other noted mathematician he would probably point out that if one cared to measure the height of all adult children whose parents showed an average mid-parent^* height of six feet, he would find in doing so that the children were shorter than their parents and less than six feet in height. Conversely, if he were to measure in the same manner the adult children of parents whose mid-parent height was five feet, six inches, he would find those children to be taller than the five feet, six inches recorded for their parents.