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Note on the Computation of Tetrachoric Correlation

Published online by Cambridge University Press:  01 January 2025

Jack W. Dunlap
Jack W. Dunlap*
Affiliation:
Bureau of Educational Statistics, University of Rochester
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Abstract

In tetrachoric correlation there is a four-fold distribution based on the four combinations of A’s and not —A’s and B’s and not —B’s. The analogous problem in test construction is that of determining the relationship between two items or test questions, upon which all individuals are scored pass or fail.

Type
Original Paper
Information
Psychometrika , Volume 5 , Issue 2 , June 1940 , pp. 137 - 140
Copyright
Copyright © 1940 The Psychometric Society

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References

* This first procedure is specifically adapted to the International Business Machines numerical tabulator provided it has extra class selectors. Modification of the technique will be necesary for those having machines with fewer class selectors. Tabulator equipment with digit selection can also be adapted to this type of analysis

† Chesire, L., Saffir, M., and Thurstone, L. L. Computing diagrams for the tetrachoric correlation coefficient. Univ. Chicago Book Store, 1933.