A Necessary and Sufficient Formula for Matric Factoring

1 March 1957

journal article
Published by Cambridge University Press (CUP) in Psychometrika

Vol. 22 (1) , 79-81
https://doi.org/10.1007/bf02289212

Abstract

For the purpose of extracting factors from matrices, it is proved that a certain formula is both necessary and sufficient. In factor analysis, the formula may be applied either to the correlation matrix, or directly to the score matrix (assuming the communality problem is solved). As many factors as desired can be extracted in one operation. Having such a compact formulation is useful for teaching as well as computing purposes, since it includes all techniques of factor extraction as special cases.

Keywords

This publication has 4 references indexed in Scilit:

THE DETERMINACY OF FACTOR SCORE MATRICES WITH IMPLICATIONS FOR FIVE OTHER BASIC PROBLEMS OF COMMON‐FACTOR THEORY¹
British Journal of Statistical Psychology, 1955
The Square Root Method and Multiple Group Methods of Factor Analysis
Psychometrika, 1954
Multiple Group Methods for Common-Factor Analysis: their Basis, Computation, and Interpretation
Psychometrika, 1952
General Theory and Methods for Matric Factoring
Psychometrika, 1944