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The Geometry of Factorial Indeterminancy

Published online by Cambridge University Press:  01 January 2025

Emil F. Heermann*
Affiliation:
University of Maryland

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.

Information

Type
Original Paper
Copyright
Copyright © 1964 Psychometric Society

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