Journal
STATISTICAL MODELLING
Volume 16, Issue 1, Pages 67-88Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/1471082X15617594
Keywords
functional additive mixed models; Dependent functional data; functional principal component analysis; penalized splines; speech production
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Funding
- Emmy Noether from the German Research Foundation [GR 3793/1-1]
- ERC under the EU's 7th Framework Programme [283349-SCSPL]
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We propose an estimation approach to analyse correlated functional data, which are observed on unequal grids or even sparsely. The model we use is a functional linear mixed model, a functional analogue of the linear mixed model. Estimation is based on dimension reduction via functional principal component analysis and on mixed model methodology. Our procedure allows the decomposition of the variability in the data as well as the estimation of mean effects of interest, and borrows strength across curves. Confidence bands for mean effects can be constructed conditionally on estimated principal components. We provide R-code implementing our approach in an online appendix. The method is motivated by and applied to data from speech production research.
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