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On the Polychoric Series Method for Estimation of ρ in Contingency Tables

Published online by Cambridge University Press:  01 January 2025

M. A. Hamdan
M. A. Hamdan*
Affiliation:
Virginia Polytechnic Institute and State University American University of Beirut
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Abstract

The present note illustrates the application of Lancaster & Hamdan's [1964] polychoric series method for estimating the correlation coefficient in contingency tables. A simple format for the calculations involved, using a desk calculator, is suggested and hence applied to a specific 3 × 3 contingency table.

Type
Original Paper
Information
Psychometrika , Volume 36 , Issue 3 , September 1971 , pp. 253 - 259
Copyright
Copyright © 1971 The Psychometric Society

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References

Hamdan, M. A. On the structure of the tetrachoric series. Biometrika, 1968, 55, 261–262CrossRefGoogle Scholar
Lancaster, H. O., & Hamdan, M. A. Estimation of the correlation coefficient in contingency tables with possibly nonmetrical characters. Psychometrika, 1964, 29, 383–391CrossRefGoogle Scholar
Pearson, K. Mathematical contribution to the theory of evolution VII: On the correlation of characters not quantitatively measureable. Philosophical Transactions of the Royal Society of London, 1900, 195A, 1–47Google Scholar
Pearson, K. Mathematical contribution to the theory of evolution XIII: On the theory of contingency and its relation to association and normal correlation, Drapers Company Research Memoirs, Biometric Series No. 1, 1904.Google Scholar
Pearson, K. On the measurement of the influence of ‘broad categories’ on correlation. Biometrika, 1913, 9, 116–139CrossRefGoogle Scholar
Pearson, K., & Lee, A. On the laws of inheritance in man. Biometrika, 1903, 2, 357–462CrossRefGoogle Scholar
Szegö, G. Orthogonal polynomials. Colloquium Publications No. 23, American Mathematical Society, 1959.Google Scholar