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A New Descriptive Statistic: The Parabolic Correlation Coefficient

Published online by Cambridge University Press:  01 January 2025

Charles C. Peters
Charles C. Peters*
Affiliation:
Pennsylvania State College
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Abstract

This article proposes a new descriptive statistic related to the second order parabola in the same manner in which the familiar correlation coefficient is related to the regression coefficient. The parabolic r describes in standard terms simultaneously the general trend of the regression and the extent and nature of its curvilinearity, and is relatively easy to compute and easy to communicate. Formulas for its standard error and its limits are derived and it is applied to a number of regressions.

Type
Original Paper
Information
Psychometrika , Volume 11 , Issue 1 , March 1946 , pp. 57 - 69
Copyright
Copyright © 1946 The Psychometric Society

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