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2015 ; 71
(1
): 247-257
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Structured functional principal component analysis
#MMPMID25327216
Shou H
; Zipunnikov V
; Crainiceanu CM
; Greven S
Biometrics
2015[Mar]; 71
(1
): 247-257
PMID25327216
show ga
Motivated by modern observational studies, we introduce a class of functional
models that expand nested and crossed designs. These models account for the
natural inheritance of the correlation structures from sampling designs in
studies where the fundamental unit is a function or image. Inference is based on
functional quadratics and their relationship with the underlying covariance
structure of the latent processes. A computationally fast and scalable estimation
procedure is developed for high-dimensional data. Methods are used in
applications including high-frequency accelerometer data for daily activity,
pitch linguistic data for phonetic analysis, and EEG data for studying electrical
brain activity during sleep.