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VI.—Mental Measurement: The Probable Error of some Boundary Conditions in Diagnosing the Presence of Group and General Factors

Published online by Cambridge University Press:  15 September 2014

Thomas P. Black
Thomas P. Black
Affiliation:
University of Edinburgh
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Extract

1. Let x1, x2, x3 represent three mental activities; r12 the correlation coefficient of x1 and x2; r23 that of x2 and x3; r31 that of x3 and x1.

J. Ridley Thompson has shown (Brit. Journ. Psychol., 1919, vol. ix, p. 335) that if

F(r)≡r122 + r232 + r312 + 2r12r23r31

be greater than 1, a “general factor” is undoubtedly present in the three activities.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 49 , 1930 , pp. 72 - 77
Copyright
Copyright © Royal Society of Edinburgh 1930

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References

page 73 note * The particular case for k = + 1 has been treated by Stuart Dodd, C., “On Criteria for Factorising Correlated Variables,” Biometrika, vol. xix, p. 45.Google Scholar