Related Experiment Video
Updated: Aug 17, 2026

Applying an eMASS Customization Program as a Research Tool to Evaluate Consumer Benefits
Published on: September 27, 2019
Fitting the factor analysis model in lI norm
1University of the West of England, Bristol, UK. nickolay.trendafilov@uwe.ac.uk
Abstract:
The well-known problem of fitting the exploratory factor analysis model is reconsidered where the usual least squares goodness-of-fit function is replaced by a more resistant discrepancy measure, based on a smooth approximation of the lI norm. Fitting the factor analysis model to the sample correlation matrix is a complex matrix optimization problem which requires the structure preservation of the unknown parameters (e.g. positive definiteness). The projected gradient approach is a natural way of solving such data matching problems as especially designed to follow the geometry of the model parameters. Two reparameterizations of the factor analysis model are considered. The approach leads to globally convergent procedures for simultaneous estimation of the factor analysis matrix parameters. Numerical examples illustrate the algorithms and factor analysis solutions.
Related Concept Videos
Expected Frequencies in Goodness-of-Fit Tests
Goodness-of-Fit Test
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation
On...
Friedman Two-way Analysis of Variance by Ranks
Dimensional Analysis
Conversion Factors and Dimensional Analysis
The unit...
Dimensional Analysis

