smooth.bibasis {fda} | R Documentation |
Smooth a discrete surface over a rectangular lattice
Description
Estimate a smoothing function f(s, t) over a rectangular lattice
Usage
smooth.bibasis(sarg, targ, y, fdPars, fdPart,
fdnames=NULL)
Arguments
sarg, targ |
vectors of argument values for the first and second dimensions,
respectively, of the surface function.
|
y |
an array containing surface values measured with noise
|
fdPars, fdPart |
functional parameter objects for sarg and targ ,
respectively
|
fdnames |
a list of length 3 containing character vectors of names for
sarg , targ , and the surface function f(s, t).
|
Value
a list with the following components:
fdobj |
a functional data object containing a smooth of the data.
|
df |
a degrees of freedom measure of the smooth
|
gcv |
the value of the generalized cross-validation or GCV criterion. If
the function is univariate, GCV is a vector containing the error
sum of squares for each function, and if the function is
multivariate, GCV is a NVAR by NCURVES matrix.
|
coef |
the coefficient matrix for the basis function expansion of
the smoothing function
|
SSE |
the error sums of squares. SSE is a vector or a matrix of the same
size as GCV.
|
penmat |
the penalty matrix.
|
y2cMap |
the matrix mapping the data to the coefficients.
|
See Also
smooth.basis
[Package
fda version 2.1.1
Index]