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The functional data analysis view of longitudinal data. (English) Zbl 1073.62001

From the introduction: The statistical area of Functional Data Analysis seems to have evolved as a “parallel statistical culture” to the better known and larger area of Longitudinal Data Analysis. While the data sets are quite similar, the viewpoints and ways of thinking about the data tend to be quite different. A major goal of this paper is to make some directly applicable ideas from FDA more accessible to the LDA community.
This is done through a simple toy example in Section 2, and through a novel real data example in Section 4. The data, described in Section 3, are from a micro-array gene expression study of cell cycles. The goal is to identify genes which have periodic behavior, that are thus strongly associated to the cell cycle process. FDA ideas are seen to provide a clear path towards achieving this goal. This is intended to illustrate the idea that FDA methods can be a very useful addition to the toolbox of longitudinal data analysts.

MSC:

62-07 Data analysis (statistics) (MSC2010)
62P10 Applications of statistics to biology and medical sciences; meta analysis
92C40 Biochemistry, molecular biology

Software:

KernSmooth; fda (R)
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