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Accuracy of Maximum-Likelihood Estimates of Correlation for a Biserial Model

Published online by Cambridge University Press:  01 January 2025

Benjamin M. Prince  and
Robert F. Tate
Benjamin M. Prince
Affiliation:
Boeing Company and University of Washington
Robert F. Tate
Affiliation:
Boeing Company and University of Washington
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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.

Type
Original Paper
Information
Psychometrika , Volume 31 , Issue 1 , March 1966 , pp. 85 - 92
Copyright
Copyright © 1966 Psychometric Society

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Footnotes

*

Research sponsored by the National Science Foundation under grant NSF-GP219.

†

Aero-Space Division (Applied Mathematics), Seattle, Washington.

References

Editorial. The normal probability function: tables of certain area-ordinate ratios and of their reciprocals. Biometrika, 1955, 42, 217–222.CrossRefGoogle Scholar
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.CrossRefGoogle Scholar
Hastings, C. Approximations for digital computers. Princeton: Princeton Univ. Press.CrossRefGoogle Scholar