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Journal of Biomechanics
Article . 2021 . Peer-reviewed
License: Elsevier TDM
Data sources: Crossref
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PCA of waveforms and functional PCA: A primer for biomechanics

Authors: Norma Bargary; Andrew J. Harrison; Dominik Liebl; Giles Hooker; Mark A. Robinson; John Warmenhoven; John Warmenhoven; +1 Authors

PCA of waveforms and functional PCA: A primer for biomechanics

Abstract

Principal components analysis (PCA) of waveforms and functional PCA (fPCA) are statistical approaches used to explore patterns of variability in biomechanical curve data, with fPCA being an accepted statistical method grounded within the functional data analysis (FDA) statistical framework. This technical note demonstrates that PCA of waveforms is the most rudimentary form of FDA, and consequently can be rationalised within the FDA framework of statistical processes. Mathematical proofing applied demonstrations of both techniques, and an example of when fPCA may be of greater benefit to control over smoothing of functional principal components is provided using an open access motion sickness dataset. Finally, open access software is provided with this paper as means of priming the biomechanics community for using these methods as a part of future functional data explorations.

Keywords

RC1200, Principal Component Analysis, Biophysics, Biomechanical Phenomena

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    citations
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    42
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    Top 10%
    influence
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
42
Top 10%
Top 10%
Top 1%
Green
bronze