fdata2pc {fda.usc}R Documentation

Principal components for functional data

Description

Compute (penalized) principal components for functional data.

Usage

fdata2pc(fdataobj, ncomp = 2, norm = TRUE, lambda = 0, P = c(0, 0, 1), ...)

Arguments

fdataobj

fdata class object.

ncomp

Number of principal components.

norm

=TRUE the norm of eigenvectors (rotation) is 1.

lambda

Amount of penalization. Default value is 0, i.e. no penalization is used.

P

If P is a vector: coefficients to define the penalty matrix object. By default P=c(0,0,1) penalize the second derivative (curvature) or acceleration. If P is a matrix: the penalty matrix object.

...

Further arguments passed to or from other methods.

Details

Smoothing is achieved by penalizing the integral of the square of the derivative of order m over rangeval:

Value

Author(s)

Manuel Febrero-Bande, Manuel Oviedo de la Fuente manuel.oviedo@usc.es

References

Venables, W. N. and B. D. Ripley (2002). Modern Applied Statistics with S. Springer-Verlag.

N. Kraemer, A.-L. Boulsteix, and G. Tutz (2008). Penalized Partial Least Squares with Applications to B-Spline Transformations and Functional Data. Chemometrics and Intelligent Laboratory Systems, 94, 60 - 69. doi:10.1016/j.chemolab.2008.06.009

Febrero-Bande, M., Oviedo de la Fuente, M. (2012). Statistical Computing in Functional Data Analysis: The R Package fda.usc. Journal of Statistical Software, 51(4), 1-28. https://www.jstatsoft.org/v51/i04/

See Also

See Also as svd and varimax.

Examples

 ## Not run: 
 n= 100;tt= seq(0,1,len=51)
 x0<-rproc2fdata(n,tt,sigma="wiener")
 x1<-rproc2fdata(n,tt,sigma=0.1)
 x<-x0*3+x1
 pc=fdata2pc(x,lambda=1)
 summary(pc)
 
## End(Not run)

[Package fda.usc version 2.1.0 Index]