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CLUSTER ORIENTED FACTOR SOLUTIONS: OBLIQUE POWERED VECTOR FACTOR ANALYSIS
Abstract:
Good simple structure is the natural consequence of fitting hyperplanes to cluster centroids in analyses of data in which distinct cluster configuration exists. The oblique powered vector factor analysis utilizes a preliminary direct orthogonal solution to identify clusters, passes primary axes through the cluster centroids and produces final oblique reference structure by simple trans- formation. The hyperplane for each oblique factor is fitted precisely to the centroids for clusters of variables projecting primarily on other factors. The method is computationally efficient and has in practical applications produced meaningful results with good simple structure characteristics. An illustration of application to the 24-variable Harman problem is included.
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