General Resolution of Correlation Matrices into Components and its Utilization in Multiple and Partial Regression

1 March 1958

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

Vol. 23 (1) , 1-8
https://doi.org/10.1007/bf02288973

Abstract

The derivation of multiple and partial regression statistics from uniqueness-augmented factor loadings, presented in the literature for orthogonal factor solutions, is generalized to oblique solutions. A mathematical rationale for the general case, without restriction to uncorrelated factors, is presented. Use of the general formulation is illustrated with a two-factor, seven-variable example.

Keywords

This publication has 3 references indexed in Scilit:

Multiple Rectilinear Prediction and the Resolution into Components: II
Psychometrika, 1943
The Evaluation of Multiple and Partial Correlation Coefficients from the Factorial Matrix
Psychometrika, 1940
Multiple Rectilinear Prediction and the Resolution into Components
Psychometrika, 1940