Independent exploratory factor analysis with application to atmospheric science data

References

• Aires , F. , Chédin , A. and Nadal , J. P. 2000 . Independent component analysis of multivariate time series: Application to the tropical SST variability . J. Geophys. Res. , 105 ( D13 ) : 17437 – 17455 .
   Web of Science ®Google Scholar
• Aires , F. , Rossow , W. and Chédin , A. 2002 . Rotation of EOFs by the independent component analysis: Toward a solution of the mixing problem in the decomposition of geophysical time series . J. Atmos. Sci. , 59 : 111 – 123 .
   Web of Science ®Google Scholar
• Anderson , T. W. and Rubin , H. “ Statistical inference in factor analysis ” . In Proceedings of the 3rd Berkeley, Symposium on Mathematical Statistics and Probability , Edited by: Neyman , J. Vol. V , 111 – 150 . Berkeley : University of California Press .
   Google Scholar
• Bärring , L. 1987 . Spatial patterns of daily rainfall in central Kenya: Application of principal component analysis, common factor analysis and spatial correlation . Int. J. Climatol. , 7 : 267 – 289 .
   Web of Science ®Google Scholar
• Basak , J. , Sudarshan , A. , Trivedi , D. and Santhanam , M. S. 2004 . Weather data mining using independent component analysis . J. Mach. Learn. Res. , 5 : 239 – 253 .
   Web of Science ®Google Scholar
• Browne , M. W. 2001 . An overview of analytic rotation in exploratory factor analysis . Multivar. Behav. Res. , 36 : 111 – 150 .
   Web of Science ®Google Scholar
• Bukantis , A. 2002 . Application of factor analysis for quantification of climate-forming processes in the eastern part of the Baltic Sea region . Clim. Res. , 20 : 135 – 140 .
   Web of Science ®Google Scholar
• Carter , M. M. and Elsner , J. B. 1997 . A statistical method for forecasting rainfall over Puerto Rico . Weather Forecast. , 12 : 515 – 525 .
   Web of Science ®Google Scholar
• Davies , M. 2004 . Identifiability issues in noisy ICA . IEEE Signal Process. Lett. , 11 : 470 – 473 .
   Web of Science ®Google Scholar
• De Leeuw , J. 2004 . “ Least squares optimal scaling of partially observed linear systems ” . In Recent Developments on Structural Equation Models: Theory and Applications , Edited by: van Montfort , K. , Oud , J. and Satorra , A. 121 – 134 . Dordrecht : Kluwer Academic Publishers .
   Google Scholar
• Fodor , I. and Kamath , C. 2003 . On the use of independent component analysis to separate meaningful sources in global temperature series , CA : University of California . Tech. Rep., Lawrence Livermore National Laboratory
   Google Scholar
• Golub , G. H. and Van Loan , C. F. 1996 . Matrix Computations , 3 , Baltimore , Maryland : The John Hopkins University Press .
   Google Scholar
• Gower , J. C. and Dijksterhuis , G. B. 2004 . Procrustes Problems , Oxford : Oxford University Press .
   Google Scholar
• Hannachi , A. , Jolliffe , I. T. and Stephenson , D. B. 2007 . Empirical orthogonal functions and related techniques in atmospheric science: A review . Int. J. Climatol. , 27 : 1119 – 1152 .
   Web of Science ®Google Scholar
• Hannachi , A. , Unkel , S. , Trendafilov , N. T. and Jolliffe , I. T. 2009 . Independent component analysis of climate data: A new look at EOF rotation . J. Climate , 22 : 2797 – 2812 .
   Web of Science ®Google Scholar
• Hastie , T. , Tibshirani , R. and Friedman , J. H. 2001 . The Elements of Statistical Learning: Data Mining, Inference, and Prediction , 3 , New York : Springer .
   Google Scholar
• Hyvärinen , A. , Karhunen , J. and Oja , E. 2001 . Independent Component Analysis , New York : John Wiley & Sons .
   Google Scholar
• Jennrich , R. I. 2001 . “ A simple general procedure for orthogonal rotation ” . In Psychometrika Vol. 66 , 289 – 306 .
   Google Scholar
• Jennrich , R. I. and Trendafilov , N. T. 2005 . Independent component analysis as a rotation method: A very different solution to Thurstone's box problem . Br. J. Math. Stat. Psychol. , 58 : 199 – 208 .
   PubMed Web of Science ®Google Scholar
• Jolliffe , I. T. 2002 . Principal Component Analysis , 2. , New York : Springer .
   Google Scholar
• Jöreskog , K. G. 1977 . “ Factor analysis by least-squares and maximum likelihood methods ” . In Mathematical methods for digital computers , Edited by: Enslein , K. , Ralston , A. and Wilf , H. S. 125 – 153 . New York : John Wiley & Sons .
   Google Scholar
• Krijnen , W. P. , Wansbeek , T. and ten Berge , J. M. F. 1996 . Best linear predictors for factor scores . Commun. Stat. Theory Methods , 25 : 3013 – 3025 .
   Web of Science ®Google Scholar
• Lawley , D. N. and Maxwell , A. E. 1971 . Factor Analysis as a Statistical Method , 2 , London : Butterworth .
   Google Scholar
• R. H. Maryon, Eigenanalysis of the Northern Hemispherical 15-day mean surface pressure field and its application to long-range forecasting, Met O 13 Branch Memorandum No. 82 (unpublished), UK Meteorological Office: Bracknell, 1979
   Google Scholar
• Mori , A. , Kawasaki , N. , Yamazaki , K. , Honda , M. and Nakamura , H. 2006 . A reexamination of the northern hemisphere sea level pressure variability by the independent component analysis . SOLA, , : 5 – 8 .
   Web of Science ®Google Scholar
• Mulaik , S. A. 1972 . The Foundations of Factor Analysis , New York : McGraw-Hill .
   Google Scholar
• Philippon , N. , Jarlan , L. , Martiny , N. , Camberlin , P. and Mougin , E. 2007 . Characterization of the interannual and intraseasonal variability of west African vegetation between 1982 and 2002 by means of NOAA AVHRR NDVI data . J. Climate , 20 : 1202 – 1218 .
   Web of Science ®Google Scholar
• Richman , M. B. 1986 . Rotation of principal components . Int. J. Climatol. , 6 : 293 – 335 .
   Web of Science ®Google Scholar
• Robertson , D. and Symons , J. 2007 . Maximum likelihood factor analysis with rank-deficient sample covariance matrices . J. Multivariate Anal. , 98 : 813 – 828 .
   Web of Science ®Google Scholar
• Trendafilov , N. T. 2006 . Dynamical system approach to multivariate data analysis . J. Comput. Graph. Stat. , 15 : 628 – 650 .
   Web of Science ®Google Scholar
• Unkel , S. and Trendafilov , N. T. Submitted . Exploratory factor analysis of data matrices with more variables than observations
   Google Scholar
• Wallace , J. M. and Gutzler , D. S. 1981 . Teleconnections in the geopotential height field during the northern hemisphere winter . Mon. Weather Rev. , 109 : 784 – 812 .
   Web of Science ®Google Scholar
• Walsh , J. E. and Richman , M. B. 1981 . Seasonality in the associations between surface temperature over the United States and the North Pacific Ocean . Mon. Weather Rev. , 109 : 767 – 783 .
   Web of Science ®Google Scholar
• Walsh , J. E. , Richman , M. B. and Allen , D. W. 1982 . Spatial coherence of monthly precipitation in the United States . Mon. Weather Rev. , 110 : 272 – 286 .
   Web of Science ®Google Scholar