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On a Shortened Method of Estimation of Mental Factors by Regression

Published online by Cambridge University Press:  01 January 2025

Walter Ledermann
Walter Ledermann*
Affiliation:
Moray House, University of Edinburgh
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Abstract

A shortened method of finding the regression for estimation of the scores on mental factors is presented. If the correlations among n tests are accounted for by r factors, the regression equation involves the inverse of an r × r matrix instead of the inverse of an n × n matrix. When r is much less than n, there is considerable saving in computational labor. A numerical example is presented to illustrate the method.

Type
Original Paper
Information
Psychometrika , Volume 4 , Issue 2 , June 1939 , pp. 109 - 116
Copyright
Copyright © 1939 The Psychometric Society

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Footnotes

*

Spearman, C. The Abilities of Man, Appendix §§ 6-8, London, 1932.

†

Thomson, Godfrey H. “The Meaning of ‘i’ in the estimate of ‘g’,” Brit. J. Psychol., 1934, 25, 92-99.

References

* See e.g. Thomson, Godfrey H., “Some Points of Mathematical Technique in the Factorial Analysis of Ability,” Jour. Educ. Psych, 1936, 27, equation (15), p. 41.

* See Holzinger, K. J. Student Manual of Factor Analysis, Chicago: The University of Chicago Press, 1937, pp. 37ff.

† Aitken, A. C. “Studies in Practical Mathematics I,” Proc. Royal Soe. Edinburgh, 1936-37, 57, 172-181.

* Holzinger, Karl J. loc. cit., p. 32.