An ExPosition of multivariate analysis with the singular value decomposition in R |
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| Affiliation: | 1. Centre de recherche de l?institut universitaire de gériatrie de Montréal, 4545 Chemin Queen Mary, Montréal, QC, Canada H3W 1W4;2. Centre de Recherche en Neuropsychologie et Cognition, Département de Psychologie, Université de Montréal, C.P. 6128, succursale Centre-ville, Montréal, QC, Canada H3C 3J7;3. International Laboratory for Brain, Music and Sound Research, Pavillon 1420 Mont-Royal, Université de Montréal, CP 6128, succ. Centre Ville, Montréal, QC, Canada H3C 3J7;1. Department of Biomedical Engineering and Environmental Sciences, National Tsing Hua University, Hsinchu 300, Taiwan;2. Department of Radiation Oncology, Tungs'' Taichung Metroharbor Hospital, Taichung City 435, Taiwan;3. Department of Medical Imaging and Radiological Sciences, College of Medicine, Chang Gung University, Kwei-Shan, Tao-Yuan 333, Taiwan;4. Institute for Radiological Research, Chang Gung University/Chang Gung Memorial Hospital, Kwei-Shan, Tao-Yuan 333, Taiwan;5. Department of Radiation Therapy, Chang Gung Memorial Hospital, Kwei-Shan, Tao-Yuan 333, Taiwan;6. Department of Radiation Oncology, University of Maryland School of Medicine, Baltimore, MD, USA;1. Department of Mathematics, Southeast University, 210096, China;2. College of Mathematical Sciences, Nanjing Normal University, 210023, China;1. Graduate School of International Corporate Strategy, Hitotsubashi University, 2-1-2 Hitotsubashi, Chiyoda-ku, Tokyo 101-8439, Japan;2. Graduate School of Commerce, Chiba University of Commerce, 1-3-1 Konodai, Ichikawa-shi, Chiba 272-8512, Japan |
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| Abstract: | ExPosition is a new comprehensive R package providing crisp graphics and implementing multivariate analysis methods based on the singular value decomposition (svd). The core techniques implemented in ExPosition are: principal components analysis, (metric) multidimensional scaling, correspondence analysis, and several of their recent extensions such as barycentric discriminant analyses (e.g., discriminant correspondence analysis), multi-table analyses (e.g.,multiple factor analysis, Statis, and distatis), and non-parametric resampling techniques (e.g., permutation and bootstrap). Several examples highlight the major differences between ExPosition and similar packages. Finally, the future directions of ExPosition are discussed. |
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| Keywords: | Singular value decomposition Principal components analysis Correspondence analysis Bootstrap Partial least squares |
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