Description Usage Arguments Value Author(s) References See Also
Defines a term \int_{T}F(X_i(t),t)dt for inclusion in an mgcv::gam
formula (or
bam
or gamm
or gamm4:::gamm
) as constructed by
fgam
, where F(x,t)$ is an unknown smooth bivariate function and X_i(t)
is a functional predictor on the closed interval T. Defaults to a cubic tensor product
Bspline with marginal secondorder difference penalties for estimating F(x,t). The
functional predictor must be fully observed on a regular grid
1 2 3 4 5 6 7 8 9 10 11 12 13  af_old(
X,
argvals = seq(0, 1, l = ncol(X)),
xind = NULL,
basistype = c("te", "t2", "s"),
integration = c("simpson", "trapezoidal", "riemann"),
L = NULL,
splinepars = list(bs = "ps", k = c(min(ceiling(nrow(X)/5), 20),
min(ceiling(ncol(X)/5), 20)), m = list(c(2, 2), c(2, 2))),
presmooth = TRUE,
Xrange = range(X),
Qtransform = FALSE
)

X 
an 
argvals 
matrix (or vector) of indices of evaluations of X_i(t); i.e. a matrix with ith row (t_{i1},.,t_{iJ}) 
xind 
Same as argvals. It will discard this argument in the next version of refund. 
basistype 
defaults to 
integration 
method used for numerical integration. Defaults to 
L 
optional weight matrix for the linear functional 
splinepars 
optional arguments specifying options for representing and penalizing the
function F(x,t). Defaults to a cubic tensor product Bspline with marginal secondorder
difference penalties, i.e. 
presmooth 
logical; if true, the functional predictor is presmoothed prior to fitting; see

Xrange 
numeric; range to use when specifying the marginal basis for the xaxis. It may
be desired to increase this slightly over the default of 
Qtransform 
logical; should the functional be transformed using the empirical cdf and
applying a quantile transformation on each column of 
A list with the following entries:
call
 a "call"
to te
(or s
, t2
) using the appropriately
constructed covariate and weight matrices.
argvals
 the argvals
argument supplied to af
L
the matrix of weights used for the integration
xindname
the name used for the functional predictor variable in the formula
used by mgcv
.
tindname
 the name used for argvals
variable in the formula
used by mgcv
Lname
 the name used for the L
variable in the formula
used by mgcv
presmooth
 the presmooth
argument supplied to af
Qtranform
 the Qtransform
argument supplied to af
Xrange
 the Xrange
argument supplied to af
ecdflist
 a list containing one empirical cdf function from applying ecdf
to each (possibly presmoothed) column of X
. Only present if Qtransform=TRUE
Xfd
 an fd
object from presmoothing the functional predictors using
smooth.basisPar
. Only present if presmooth=TRUE
. See fd
.
Mathew W. McLean mathew.w.mclean@gmail.com and Fabian Scheipl
McLean, M. W., Hooker, G., Staicu, A.M., Scheipl, F., and Ruppert, D. (2014). Functional generalized additive models. Journal of Computational and Graphical Statistics, 23 (1), pp. 249269. Available at https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3982924/.
fgam
, lf
, mgcv's linear.functional.terms
,
fgam
for examples
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