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A Generalized Method of Image Analysis from an Intercorrelation Matrix which may be Singular

Published online by Cambridge University Press:  01 January 2025

Haruo Yanai  and
Bishwa Nath Mukherjee
Haruo Yanai*
Affiliation:
Research Development Division, The National Center for University Entrance Examination
Bishwa Nath Mukherjee
Affiliation:
Computer Science Unit, Indian Statistical Institute
*
Requests for reprints should be sent to Haruo Yanai, The National Center for University Entrance Examination, 2-19-23 Komaba, Meguro-ku, Tokyo, Japan.
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Abstract

Following the works of Guttman (1953) and Kaiser (1976), we show that the image and anti-image covariance matrices can be derived from a singular correlation matrix, by making use of the orthogonal projector and a weaker generalized inverse matrix.

Keywords

image variablesanti-image variablesorthogonal projectorgeneralized inverseMoore-Penrose inverse

Information

Type
Original Paper
Information
Psychometrika , Volume 52 , Issue 4 , December 1987 , pp. 555 - 564
Copyright
Copyright © 1987 The Psychometric Society

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References

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