Iterative Majorizing Rotation to Orthogonal Simple Structure Solution

An iterative process is proposed for obtaining an orthogonal simple structure solution. At each iteration, a target matrix is constructed such that the relative contributions of the target majorize the original ones, factor by factor. The convergence of the procedure is proven, and the algorithm is...

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Bibliographic Details
Published inMultivariate behavioral research Vol. 31; no. 3; p. 271
Main Author Trendafilov, Nickolay T
Format Journal Article
LanguageEnglish
Published United States 01.07.1996
Subjects
Algorithms
Convergence (Mathematics)
Factor Analysis
Factor Structure
Iterative Methods
Majorization
Matrices
Orthogonal Rotation
Rotation (Factor Analysis)
Thurstone Box Problem
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Summary:An iterative process is proposed for obtaining an orthogonal simple structure solution. At each iteration, a target matrix is constructed such that the relative contributions of the target majorize the original ones, factor by factor. The convergence of the procedure is proven, and the algorithm is illustrated. (SLD)
ISSN:0027-3171
DOI:10.1207/s15327906mbr3103_1