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An Improved Method for Tetrachoric r

Published online by Cambridge University Press:  01 January 2025

W. L. Jenkins
W. L. Jenkins*
Affiliation:
Lehigh University
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Abstract

From the ratio of the cross-products of a fourfold table, with the application of two tabled corrections, tetrachoric r's can be estimated with a mean discrepancy of less than .005 even when splits vary greatly from the medians. The necessary calculations can be handled by slide rule and the correction tables used without interpolation.

Type
Original Paper
Information
Psychometrika , Volume 20 , Issue 3 , September 1955 , pp. 253 - 258
Copyright
Copyright © 1955 The Psychometric Society

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References

Davidoff, M. D., Goheen, H. W.. A table for the rapid determination of the tetrachoric correlation coefficient. Psychometrika, 1953, 18, 115–121CrossRefGoogle Scholar
Pearson, K. (Ed.) Tables for statisticians and biometricians, Part II, London Biometric Laboratory, Univ. College, 1931.Google Scholar