Abstract
A new subroutine has been developed for calculating the terachoric correlation coefficient. Recent advances in computing inverse normal and bivariate normal distributions have been utilized. The iterative procedure is started with an approximation with an error less than±.0135.
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References
Camp, B. H.The mathematical part of elementary statistics. New York: D. C. Heath, 1934.
Carroll, J. B. The nature of the data, or how to choose a correlation coefficient.Psychometrika, 1961,26, 347–372.
Castellan, N. J., Jr. On the estimation of the tetrachoric correlation coefficient.Psychometrika, 1966,31, 67–73.
Divgi, D. R. Calculation of univariate and bivariate normal probability functions.Annals of Statistics, in press.
Kirk, D. B. On the numerical approximation of the bivariate normal (tetrachoric) correlation coefficient.Psychometrika, 1973,38, 259–268.
Lord, F. M. & Novick, M. R.Statistical theories of mental test scores. Reading, Mass.: Addison-Wesley, 1968.
Odeh, R. E. & Evans, J. O. The percentage points of the normal distribution.Applied Statistics, 1974,23, 96–97.
Pearson, K. Mathematical contribution to the theory of evolution VII: On the correlation of characters not quantitatively measurable.Philosophical Transactions of the Royal Society, Series A, 1900,195, 1–47.
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Divgi, D.R. Calculation of the tetrachoric correlation coefficient. Psychometrika 44, 169–172 (1979). https://doi.org/10.1007/BF02293968
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DOI: https://doi.org/10.1007/BF02293968