Related Experiment Video
Updated: Mar 27, 2026

Author Spotlight: Exploring Light-Driven Chemical Reactions and Energy-Harnessing Devices in Photochemical Research
Published on: February 16, 2024
Factors and Principal Components in the Near Spherical Case
Abstract:
A sufficient condition in terms of the unique variances of a common factor model is given for the results of factor analysis to come close to those of principal component analysis. Principal components and factor scores as well as their proxies approach each other when the unique variances (or rather the eigenvalues of the unique covariance matrix) do not differ very much (the near spherical case), more precisely, when the differences of the unique variances tend to zero relative to the smallest squared singular value of the loading matrix. A similar statement can be made with respect to the loading matrices.
Related Concept Videos
Principal Moments of Area
The principal moment of inertia axes are the...
General Case of Eccentric Axial Loading
Consider a member subjected to equal and opposite forces that are applied along a line that does not coincide with the member's neutral axis. In unsymmetrical...
Principal Stresses
Spherical Coordinates
Gauss's Law: Spherical Symmetry
Three-Dimensional Analysis of Strain

