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Estimation of Other Coefficients of Correlation from the Phi Coefficient

Published online by Cambridge University Press:  01 January 2025

J. P. Guilford  and
Norman C. Perry
J. P. Guilford
Affiliation:
University of Southern California
Norman C. Perry
Affiliation:
University of Southern California
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Abstract

Formulas are developed for estimating a point-biserial r or a tetrachoric r from an obtained phi coefficient. The estimate of a tetrachoric r, which is called rϕ, is shown to be equivalent to that obtained from first-order use of the tetrachoric r series. A tabulation is made of corrections needed to make rϕ equivalent numerically to the tetrachoric r. In spite of its greater generality than estimates of tetrachoric r by previous methods, there are limitations, which are pointed out.

Type
Original Paper
Information
Psychometrika , Volume 16 , Issue 3 , September 1951 , pp. 335 - 346
Copyright
Copyright © 1951 The Psychometric Society

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