Functional linear mixed models for irregularly or sparsely sampled data

Cederbaum, Jona; Pouplier, Marianne; Hoole, Phil und Greven, Sonja (2016): Functional linear mixed models for irregularly or sparsely sampled data. In: Statistical Modelling, Bd. 16, Nr. 1: S. 67-88

Abstract

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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Statistik ; Mathematik, Informatik und Statistik > Statistik > Lehrstühle/Arbeitsgruppen > Statistische Methoden für longitudinale funktionale Daten
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• Allianz-/Nationallizenz: Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
• Sprache: Englisch