Abstract
Tables are given for the calculation of variances of maximum-likelihood estimates in a multiple biserial model. For the estimates of individual correlations between the dichotomized variable and each of the graduated variables additional calculation is necessary; variances for estimates of the multiple correlation and the point of dichotomy are available directly. The required formulas and notation are those of a recent paper by Hannan and Tate.
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References
Editorial. The normal probability function: tables of certain area-ordinate ratios and of their reciprocals.Biometrika, 1955,42, 217–222.
Hannan, J. F. and Tate, R. F. Estimation of the parameters for a multivariate normal distribution when one variable is dichotomized.Biometrika, 1965,52, 664–668.
Hastings, C.Approximations for digital computers. Princeton: Princeton Univ. Press.
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Research sponsored by the National Science Foundation under grant NSF-GP219.
Aero-Space Division (Applied Mathematics), Seattle, Washington.
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Prince, B.M., Tate, R.F. Accuracy of maximum-likelihood estimates of correlation for a biserial model. Psychometrika 31, 85–92 (1966). https://doi.org/10.1007/BF02289460
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DOI: https://doi.org/10.1007/BF02289460