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The Unit Hierarchy and its Properties

Published online by Cambridge University Press:  01 January 2025

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

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
Copyright
Copyright © 1938 Psychometric Society

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