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The Geometry of Factorial Indeterminancy

Published online by Cambridge University Press:  01 January 2025

Emil F. Heermann
Emil F. Heermann*
Affiliation:
University of Maryland
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Abstract

The N-dimensional geometry of a Spearman-Thurstone factor solution reveals two sources for the indeterminancy of factor scores: indeterminancy of total factor space and a rotational indeterminancy within a given total factor space. The analytical papers of Ledermann [4] and Guttman [2] on indeterminancy of factor scores are related to these findings and a simple vector model is developed to reveal the properties of rotational indeterminancy. The significance of factor-score indeterminancy is discussed in light of these findings.

Type
Original Paper
Information
Psychometrika , Volume 29 , Issue 4 , December 1964 , pp. 371 - 381
Copyright
Copyright © 1964 Psychometric Society

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References

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