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Independent exploratory factor analysis with application to atmospheric science data

Unkel, Steffen; Trendafilov, Nickolay T.; Hannachi, Abdel and Jolliffe, Ian T. (2010). Independent exploratory factor analysis with application to atmospheric science data. Journal of Applied Statistics, 37(11) pp. 1847–1862.

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The independent exploratory factor analysis method is introduced for recovering independent latent sources from their observed mixtures. The new model is viewed as a method of factor rotation in exploratory factor analysis (EFA). First, estimates for all EFA model parameters are obtained simultaneously. Then, an orthogonal rotation matrix is sought that minimizes the dependence between the common factors. The rotation of the scores is compensated by a rotation of the initial loading matrix. The proposed approach is applied to study winter monthly sea-level pressure anomalies over the Northern Hemisphere. The North Atlantic Oscillation, the North Pacific Oscillation, and the Scandinavian pattern are identified among the rotated spatial patterns with a physically interpretable structure.

Item Type: Journal Article
Copyright Holders: 2010 Taylor & Francis
ISSN: 1360-0532
Keywords: noisy independent component analysis; exploratory factor analysis; factor rotation; more variables than observations; rotated spatial patterns; gridded climate data; sea-level pressure anomalies
Academic Unit/Department: Mathematics, Computing and Technology
Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 24143
Depositing User: Steffen Unkel
Date Deposited: 27 Oct 2010 16:31
Last Modified: 03 Dec 2012 12:05
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