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Modeling motor learning using heteroskedastic functional principal components analysis.


ABSTRACT: We propose a novel method for estimating population-level and subject-specific effects of covariates on the variability of functional data. We extend the functional principal components analysis framework by modeling the variance of principal component scores as a function of covariates and subject-specific random effects. In a setting where principal components are largely invariant across subjects and covariate values, modeling the variance of these scores provides a flexible and interpretable way to explore factors that affect the variability of functional data. Our work is motivated by a novel dataset from an experiment assessing upper extremity motor control, and quantifies the reduction in motion variance associated with skill learning.

SUBMITTER: Backenroth D 

PROVIDER: S-EPMC6223649 | biostudies-literature | 2018

REPOSITORIES: biostudies-literature

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Modeling motor learning using heteroskedastic functional principal components analysis.

Backenroth Daniel D   Goldsmith Jeff J   Harran Michelle D MD   Cortes Juan C JC   Krakauer John W JW   Kitago Tomoko T  

Journal of the American Statistical Association 20170929 523


We propose a novel method for estimating population-level and subject-specific effects of covariates on the variability of functional data. We extend the functional principal components analysis framework by modeling the variance of principal component scores as a function of covariates and subject-specific random effects. In a setting where principal components are largely invariant across subjects and covariate values, modeling the variance of these scores provides a flexible and interpretable  ...[more]

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