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Independent component analysis as a rotation method: a very different solution to Thurstone's box problem.

Authors
  • Jennrich, Robert I
  • Trendafilov, Nickolay T
Type
Published Article
Journal
The British journal of mathematical and statistical psychology
Publication Date
Nov 01, 2005
Volume
58
Issue
Pt 2
Pages
199–208
Identifiers
PMID: 16293197
Source
Medline
License
Unknown

Abstract

In this paper we consider the well-known Thurstone box problem in exploratory factor analysis. Initial loadings and components are extracted using principal component analysis. Rotating the components towards independence rather than rotating the loadings towards simplicity allows one to accurately recover the dimensions of each box and also produce simple loadings. It is shown how this may be done using an appropriate rotation criterion and a general rotation algorithm. Methods from independent component analysis are used, and this paper may be viewed as an introduction to independent component analysis from the perspective of factor analysis.

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