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The Unit Hierarchy and its Properties

Published online by Cambridge University Press:  01 January 2025

Cyril Burt
Cyril Burt*
Affiliation:
Psychological Laboratory, University College, London
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Abstract

A correlation matrix may be expanded as the weighted sum of a series of ‘unit hierarchies’. The properties of the ‘unit hierarchy’ are not only of theoretical interest for themselves, but lead to simpler modes of practical calculation. The analysis is analogous to a spectral set of projective operations in quantum-theory: and the analogy itself suggests many further problems and solutions.

Type
Original Paper
Information
Psychometrika , Volume 3 , Issue 3 , September 1938 , pp. 151 - 168
Copyright
Copyright © 1938 Psychometric Society

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