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Estimation of Other Coefficients of Correlation from the Phi Coefficient

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 r ϕ , is shown to be equivalent to that obtained from first-order use of the tetrachoric r series. A tabulation is made of corrections neede...

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Bibliographic Details
Published in:Psychometrika 1951-09, Vol.16 (3), p.335-346
Main Authors: Guilford, J. P., Perry, Norman C.
Format: Article
Language:English
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Summary: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 r ϕ , 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 r ϕ 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.
ISSN:0033-3123
1860-0980
DOI:10.1007/BF02310556