This Article Full Text (PDF) References Alert me when this article is cited Alert me if a correction is posted Citation Map Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Add to Saved Citations Download to citation manager Request Permissions Request Reprints Add to My Marked Citations Citing Articles Citing Articles via Google Scholar Citing Articles via Scopus Google Scholar Articles by Gross, A. L. Articles by Fleischman, L. E. Search for Related Content Social Bookmarking                         What's this?

The Correction for Restriction of Range and Nonlinear Regressions: An Analytic Study

City University of New York

Lynn E. Fleischman

City University of New York

The effect of a nonlinear regression function on the accuracy of the restriction of range correction formula was investigated using analytic methods. Expressions were derived for the expected mean square error (EMSE) of both the correction formula and the squared correlation computed in the selected group, with re spect to their use as estimators of the population rela tionship. The relative accuracy of these two estimators was then studied as a function of the form of the regression, the form of the marginal distribution of x scores, the strength of the relationship, sample size, and the degree of selection. Although the relative ac curacy of the correction formula was comparable for both linear and concave regression forms, the correc tion formula performed poorly when the regression form was convex. Further, even when the regression is linear or concave, it may not be advantageous to employ the correction formula unless the xy relation ship is strong and sample size is large.

Applied Psychological Measurement, Vol. 11, No. 2, 211-217 (1987)
DOI: 10.1177/014662168701100210


CiteULike    Complore    Connotea    Del.icio.us    Digg    Reddit    Technorati    Twitter    What's this?