Distance-Based Measures of Association with Applications in Relating Hyperspectral Images

References

• Amat , L. , Robert , D. , Besalú , E. , Carbó-Dorca , R. ( 1998 ). Molecular quantum similarity measures tuned 3D QSAR: An antitumoral family validation study . Chem. Inform. Comput. Sci. 38 : 624 – 631 .
   PubMedGoogle Scholar
• Anderson , T. W. ( 2003 ). An Introduction to Multivariate Analysis. , 3d ed. New York : Wiley .
   Google Scholar
• Bartkowiak , A. , Jakimiec , M. ( 1994 ). Distance-based regression in prediction of solar flare activity . Qüestiió 18 : 7 – 38 .
   Google Scholar
• Boj , E. , Claramunt , M. M. , Fortiana , J. ( 2007 ). Selection of predictors in distance-based regression . Commun. Statist. B Simul. Computat. 36 : 87 – 98 .
   Web of Science ®Google Scholar
• Cox , T. V. , Cox , M. A. A. ( 2001 ). Multidimensional Scaling. , 2nd ed. Boca Raton , FL : Chapman and Hall/CRC .
   Google Scholar
• Cramer , E. M. , Nicewander , W. A. ( 1979 ). Some symmetric, invariant measures of multivariate association . Psychometrika 44 : 43 – 54 .
   Web of Science ®Google Scholar
• Cuadras , C. M. ( 1989 ). Distance analysis in discrimination and classification using both continuous and categorical variables . In: Dodge , Y. , ed. Statistical Data Analysis Inference . Amsterdam : Elsevier Science Publishers B. V. (North–Holland) , pp. 459 – 473 .
   Google Scholar
• Cuadras , C. M. (1993). Interpreting an inequality in multiple regression. Amer. Statistician 47:256–258.
   Web of Science ®Google Scholar
• Cuadras , C. M. , Arenas , C. ( 1990 ). A distance based regression model for prediction with mixed data . Commun. Statist. A Theor. Meth. 19 : 2261 – 2279 .
   Web of Science ®Google Scholar
• Cuadras , C. M. , Arenas , C. , Fortiana , J. ( 1996 ). Some computational aspects of a distance-based model for prediction . Commun. Statist. B Simul. Computat. 25 : 593 – 609 .
   Web of Science ®Google Scholar
• Cuadras , C. M. , Cuadras , D. ( 2006 ). A parametric approach to correspondence analysis . Linear Alg. Applic. 417 : 64 – 74 .
   Web of Science ®Google Scholar
• Cuadras , C. M. , Cuadras , D. , Greenacre , M. ( 2006 ). A comparison of different methods for representing categorical data . Commun. Statist. B Simul. Computat. 35 : 447 – 459 .
   Web of Science ®Google Scholar
• Cuadras , C. M. ( 2008 ). Distance-based multisample tests for multivariate data . In: Arnold , B. C. , Balakrishnan , N. , Sarabia , J. M. , Mínguez , R. , eds. Advances in Mathematical Statistical Modeling . Boston : Birkhauser , pp. 61 – 71 .
   Google Scholar
• Cuadras , C. M. ( 2011 ). Distance-based approach in multivariate association . In: Ingrassia , S. , Rocci , R. , Vichi , M. , eds. New Perspectives in Statistical Modeling Data Analysis . Berlin : Springer , pp. 535 – 542 .
   Google Scholar
• Escoufier , Y. ( 1973 ). Le traitement des variables vectorielles . Biometrics 29 : 751 – 760 .
   Web of Science ®Google Scholar
• Esteve , A. , Boj , E. , Fortiana , J. ( 2009 ). Interaction terms in distance-based regression . Commun. Statist. A Theor. Meth. 38 : 3498 – 3509 .
   Web of Science ®Google Scholar
• Graffelman , J. ( 2001 ). Quality statistics in canonical correspondence analysis . Environmetrics 12 : 485 – 497 .
   Web of Science ®Google Scholar
• Hotelling , H. ( 1936 ). Relations between two sets of variants . Biometrika 28 : 321 – 377 .
   Web of Science ®Google Scholar
• Jiang , S. ( 1996 ). Angles between Euclidean subspaces . Geometriae Dedicata 63 : 113 – 121 .
   Web of Science ®Google Scholar
• McArdle , B. H. , Anderson , M. J. ( 2001 ). Fitting multivariate models to community data: a comment on distance based redundancy analysis . Ecology 82 : 290 – 297 .
   Web of Science ®Google Scholar
• Manly , B. F. J. ( 1986 ). Multivariate Statistical Methods: a Primer . London , New York : Chapman and Hall .
   Google Scholar
• Mardia , K. V. , Kent , J. T. , Bibby , J. M. ( 1979 ). Multivariate Analysis . London : Academic Press .
   Google Scholar
• Rao , C. R. ( 1952 ). Advanced Statistical Methods in Biometric Research . New York : Wiley .
   Google Scholar
• Rao , C. R. ( 1995 ). A review of canonical coordinates and an alternative to correspondence analysis using Hellinger distance . Qüestiió 19 : 23 – 63 .
   Google Scholar
• Rencher , A. V. ( 1995 ). Methods of Multivariate Analysis . New York : Wiley .
   Google Scholar
• Salembier , P. , Garrido , L. ( 2000 ). Binary partition tree as an efficient representation for image processing, segmentation and information retrieval . IEEE Trans. Image Process. 9 : 561 – 576 .
   PubMed Web of Science ®Google Scholar
• Wessel , J. , Schork , N. J. ( 2006 ). Generalized genomic distance-based regression methodology for multilocus association analysis . Amer. J. Hum. Genet. 79 : 792 – 806 .
   PubMed Web of Science ®Google Scholar
• Zapala , M. A , Schork , N. J. ( 2006 ). Multivariate regression analysis of distance matrices for testing associations between gene expression patterns and related variables . Proc. Natl. Acad. Sci. USA 103 : 19430 – 19435 .
   PubMed Web of Science ®Google Scholar