Abstract
Formulas are developed for estimating a point-biserialr or a tetrachoricr from an obtained phi coefficient. The estimate of a tetrachoricr, which is calledr φ, is shown to be equivalent to that obtained from first-order use of the tetrachoricr series. A tabulation is made of corrections needed to maker φ equivalent numerically to the tetrachoricr. In spite of its greater generality than estimates of tetrachoricr by previous methods, there are limitations, which are pointed out.
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References
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Guilford, J.P., Perry, N.C. Estimation of other coefficients of correlation from the phi coefficient. Psychometrika 16, 335–346 (1951). https://doi.org/10.1007/BF02310556
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DOI: https://doi.org/10.1007/BF02310556