lambda2df: Convert Smoothing Parameter to Degrees of Freedom

In fda: Functional Data Analysis

Convert Smoothing Parameter to Degrees of Freedom

Description

The degree of roughness of an estimated function is controlled by a smoothing parameter $lambda$ that directly multiplies the penalty. However, it can be difficult to interpret or choose this value, and it is often easier to determine the roughness by choosing a value that is equivalent of the degrees of freedom used by the smoothing procedure. This function converts a multipler $lambda$ into a degrees of freedom value.

Usage

lambda2df(argvals, basisobj, wtvec=rep(1, n), Lfdobj=NULL, lambda=0)

Arguments

argvals	a vector containing the argument values used in the smooth of the data.
basisobj	the basis object used in the smoothing of the data.
wtvec	the weight vector, if any, that was used in the smoothing of the data.
Lfdobj	the linear differential operator object used to defining the roughness penalty employed in smoothing the data.
lambda	the smoothing parameter to be converted.

Value

the equivalent degrees of freedom value.

References

Ramsay, James O., Hooker, Giles, and Graves, Spencer (2009), Functional data analysis with R and Matlab, Springer, New York.

Ramsay, James O., and Silverman, Bernard W. (2005), Functional Data Analysis, 2nd ed., Springer, New York.

Ramsay, James O., and Silverman, Bernard W. (2002), Applied Functional Data Analysis, Springer, New York.

See Also

df2lambda

fda documentation built on Sept. 30, 2024, 9:19 a.m.