Abstract
This paper is devoted to the R package fda.usc which includes some utilities for functional data analysis. This package carries out exploratory and descriptive analysis of functional data analyzing its most important features such as depth measurements or functional outliers detection, among others. The R package fda.usc also includes functions to compute functional regression models, with a scalar response and a functional explanatory data via non-parametric functional regression, basis representation or functional principal components analysis. There are natural extensions such as functional linear models and semi-functional partial linear models, which allow non-functional covariates and factors and make predictions. The functions of this package complement and incorporate the two main references of functional data analysis: The R package fda and the functions implemented by Ferraty and Vieu (2006).
Highlights
The technological progress has led to the development of new, quick and accurate measurement procedures
The procedures of the package fda.usc which include the argument metric allow us the use of metric or semi-metrics functions implemented or other user defined metric with the only restriction that the first two arguments belong to the class “fdata”
The fdata.bootstrap() function allows us to define a statistic calculated on the nb resamples, control the degree of smoothing by smo argument and represent the confidence ball with level 1−α as those resamples that fulfill the condition of belonging to CB (α)
Summary
The technological progress has led to the development of new, quick and accurate measurement procedures. In fields such as spectroscopy, the measurement result is a curve that, at least, fda.usc: Functional Data Analysis in R has been evaluated in 100 points. The book by Ferraty and Vieu (2006) is another important reference incorporating non-parametric approaches as well as the use of other theoretical tools such as semi-norms and small ball probabilities that allow us to deal with normed or metric spaces. These authors are part of the French group STAPH maintaining the page http://www.lsp.ups-tlse.fr/staph where R software can be downloaded.
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