Journal
STATISTICS IN MEDICINE
Volume 32, Issue 30, Pages 5222-5240Publisher
WILEY
DOI: 10.1002/sim.5989
Keywords
curve alignment; functional principal component analysis; functional regression; smoothing
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Funding
- MIUR Ministero dell'Istruzione dell'Universita e della Ricerca
- FIRB Futuro in Ricerca
- program Dote Ricercatore Politecnico di Milano - Regione Lombardia, research project 'Functional data analysis for life sciences'
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Functional data are data that can be represented by suitable functions, such as curves (potentially multi-dimensional) or surfaces. This paper gives an introduction to some basic but important techniques for the analysis of such data, and we apply the techniques to two datasets from biomedicine. One dataset is about white matter structures in the brain in multiple sclerosis patients; the other dataset is about three-dimensional vascular geometries collected for the study of cerebral aneurysms. The techniques described are smoothing, alignment, principal component analysis, and regression. Copyright (c) 2013 John Wiley & Sons, Ltd.
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