Psychometrika

, Volume 18, Issue 2, pp 115–121 | Cite as

A table for the rapid determination of the tetrachoric correlation coefficient

  • Melvin D. Davidoff
  • Howard W. Goheen
Article

Abstract

A table is developed and presented to facilitate the computation of the PearsonQ3 (“cosine method”) estimate of the tetrachoric correlation coefficient. Data are presented concerning the accuracy ofQ3 as an estimate of the tetrachoric correlation coefficient, and it is compared with the results obtainable from the Chesire, Saffir, and Thurstone tables for the same four-fold frequency tables.

Keywords

Public Policy Statistical Theory Rapid Determination Frequency Table Tetrachoric Correlation 

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References

  1. 1.
    Chesire, L., Saffir, M., and Thurstone, L. L. Computing diagrams for the tetrachoric correlation coefficient. Chicago: Univ. of Chicago Bookstore, 1933.Google Scholar
  2. 2.
    Goheen, H. W., and Kavruck, S. A worksheet for tetrachoricr and standard error of tetrachoricr using Hayes diagrams and tables.Psychometrika, 1948,13, 279–280.Google Scholar
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    Hamilton, M. Nomogram for the tetrachoric correlation coefficient.Psychometrika, 1948,13, 259–269.Google Scholar
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    Hayes, S. P., Jr. Diagrams for computing tetrachoric correlation coefficients from percentage differences.Psychometrika, 1946,11, 163–172.Google Scholar
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    Jenkins, W. L. A single chart for tetrachoricr.Educ. psychol. Meas., 1950,10, 142–144.Google Scholar
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    Pearson, K. Mathematical contribution to the theory of evolution, VII. On the correlation of characters not quantitatively measurable. London:Philos. Trans. roy. Soc., 195A, 1901.Google Scholar
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    Peters, C. C., and Van Voorhis, W. R. Statistical procedures and their mathematical bases. New York: McGraw-Hill, 1941.Google Scholar

Copyright information

© Psychometric Society 1953

Authors and Affiliations

  • Melvin D. Davidoff
    • 1
  • Howard W. Goheen
    • 1
  1. 1.U. S. Civil Service CommissionUSA

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