# create.fdata.basis: Create Basis Set for Functional Data of fdata class In fda.usc: Functional Data Analysis and Utilities for Statistical Computing

 create.fdata.basis R Documentation

## Create Basis Set for Functional Data of fdata class

### Description

Compute basis for functional data.

### Usage

```create.fdata.basis(
fdataobj,
l = 1:5,
maxl = max(l),
type.basis = "bspline",
rangeval = fdataobj\$rangeval,
class.out = "fd"
)

create.pc.basis(
fdataobj,
l = 1:5,
norm = TRUE,
basis = NULL,
lambda = 0,
P = c(0, 0, 1),
...
)

create.pls.basis(
fdataobj,
y,
l = 1:5,
norm = TRUE,
lambda = 0,
P = c(0, 0, 1),
...
)

create.raw.fdata(fdataobj, l = 1:nrow(fdataobj))
```

### Arguments

 `fdataobj` `fdata` class object. `l` Vector of basis index. `maxl` maximum number of basis `type.basis` Type of basis (see create.basis function). `rangeval` A vector of length 2 giving the lower and upper limits of the range of permissible values for the function argument. `class.out` =="fd" basisfd class, =="fdata" fdata class. `norm` If `TRUE` the norm of eigenvectors `basis` is 1. `basis` "fd" basis object. `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. `y` Vector of response (scalar).

### Value

• `basis` basis

• `x` if `TRUE` the value of the rotated data (the centred data multiplied by the basis matrix) is returned

• `mean` functional mean of `fdataobj`

• `df` degree of freedom

• `type` type of basis

### Author(s)

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

### References

Ramsay, James O. and Silverman, Bernard W. (2006), Functional Data Analysis, 2nd ed., Springer, New York.

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

See Also as create.basis and `fdata2pc`.

### Examples

```## Not run:
data(tecator)
basis.pc<-create.pc.basis(tecator\$absorp.fdata,c(1,4,5))
plot(basis.pc\$basis,col=1)
summary(basis.pc)
basis.pls<-create.pls.basis(tecator\$absorp.fdata,y=tecator\$y[,1],c(1,4,5))
summary(basis.pls)
plot(basis.pls\$basis,col=2)
summary(basis.pls)

basis.fd<-create.fdata.basis(tecator\$absorp.fdata,c(1,4,5),
type.basis="fourier")
plot(basis.pc\$basis)
basis.fdata<-create.fdata.basis(tecator\$absorp.fdata,c(1,4,5),
type.basis="fourier",class.out="fdata")
plot(basis.fd,col=2,lty=1)
lines(basis.fdata,col=3,lty=1)

## End(Not run)
```

fda.usc documentation built on Oct. 17, 2022, 9:06 a.m.