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On the Estimation of the Tetrachoric Correlation Coefficient

Published online by Cambridge University Press:  01 January 2025

N. John Castellan Jr.*
Affiliation:
University of Colorado

Abstract

This paper presents briefly the rationale of the tetrachoric correlation coefficient. Pearson's results are outlined and several estimates of the coefficient are given. These estimates are compared with Pearson's expressions to determine the relative accuracy of the various approximations in determining the tetrachoric correlation coefficient.

Type
Original Paper
Copyright
Copyright © 1966 Psychometric Society

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Footnotes

*

Preparation of this paper was supported in part by Fellowship 1-F1-MH-24, 324-01, from the National Institute of Mental Health; and in part by the Tri-Ethnic Research Project, Grant 3M-9156 from the National Institute of Mental Health to the Institute of Behavioral Science, University of Colorado. This paper comprises Publication Number 57 of the Institute. The author would like to thank D. E. Bailey for his helpful comments and criticisms.

Now at Indiana University.

References

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Kendall, M. G. and Stuart, A. Advanced theory of statistics (Vol. I) (2nd ed.), London: Griffin, 1958.Google Scholar
Pearson, K. I. Mathematical contribution to the theory of evolution. VII. On the correlation of characters not quantitatively measurable. Phil. Trans. roy. Soc. London, 1901, 195A, 147.Google Scholar
Walker, H. M. and Lev, J. Statistical inference. New York: Holt, Rinehart & Winston, 1953, 271275.CrossRefGoogle Scholar