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.

DOI: https://doi.org/10.1080/02664760903166280

Abstract

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.

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About

• Item ORO ID
• 24143
• Item Type
• Journal Item
• 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 or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM)
  Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
• Copyright Holders
• © 2010 Taylor & Francis
• Depositing User
• Steffen Unkel