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On the numerical approximation of the bivariate normal (tetrachoric) correlation coefficient

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Abstract

In this paper a rapid and reliable method is found for estimating the value of the Bivariate Normal Correlation Coefficient, ρ, given values of the joint probability and the normal deviates,h andk, or the related areas. This technique finds useful application in the computational approximation of the tetrachoric correlation coefficient,r, when the underlying distributions may be assumed to be normal.

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References

  1. Chesire, L., Saffir, M. and Thurstone, L.Computing diagrams for the tetrachoric correlation coefficient. Chicago: University of Chicago Press, 1933.

    Google Scholar 

  2. Froemel, E. A comparison of computer routines for the calculation of the tetrachoric correlation coefficient,Psychometrika, 1971,36, pp. 165–173.

    Article  Google Scholar 

  3. Handbook of Mathematical Functions (AMS-55). U. S. Department of Commerce, National Bureau of Standards, 1964.

  4. Hastings, C.Approximations for digital computers. Princeton: Princeton University Press, 1955.

    Google Scholar 

  5. IBM System 360 Scientific Subroutine Package (360A-CM-03X); Call 360 Time Sharing System, 1970.

  6. Kendall, M. & Stewart, A.The advanced theory of statistics. New York: Hefner Publishing Co., 1961.

    Google Scholar 

  7. McNemar, Q.Psychological statistics. New York: Wiley, 1955.

    Google Scholar 

  8. Tables of the Bivariate Normal Distribution Function (AMS-50). U. S. Department of Commerce, National Bureau of Standards, 1959.

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Kirk, D.B. On the numerical approximation of the bivariate normal (tetrachoric) correlation coefficient. Psychometrika 38, 259–268 (1973). https://doi.org/10.1007/BF02291118

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  • DOI: https://doi.org/10.1007/BF02291118

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