fda.usc (version 1.2.3)

classif.gsam: Classification Fitting Functional Generalized Additive Models

Description

Computes functional classification using functional (and non functional) explanatory variables by basis representation.

Usage

classif.gsam(formula,data,family = binomial(),weights=NULL,
basis.x=NULL,basis.b=NULL,CV=FALSE,...)

Arguments

formula

an object of class formula (or one that can be coerced to that class): a symbolic description of the model to be fitted. The details of model specification are given under Details.

family

a description of the error distribution and link function to be used in the model. This can be a character string naming a family function, a family function or the result of a call to a family function. (See family

data

List that containing the variables in the model.

weights

weights

basis.x

List of basis for functional explanatory data estimation.

basis.b

List of basis for functional beta parameter estimation.

CV

=TRUE, Cross-validation (CV) is done.

...

Further arguments passed to or from other methods.

Value

• Return gam object plus:
• formula
  formula.
• data
  List that containing the variables in the model.
• group
  Factor of length n
• group.est
  Estimated vector groups
• prob.classification
  Probability of correct classification by group.
• prob.group
  Matrix of predicted class probabilities. For each functional point shows the probability of each possible group membership.

Details

The first item in the data list is called "df" and is a data frame with the response and non functional explanatory variables, as glm. Functional covariates of class fdata or fd are introduced in the following items in the data list. basis.x is a list of basis for represent each functional covariate. The basis object can be created by the function: create.pc.basis, pca.fd create.pc.basis, create.fdata.basis o create.basis. basis.b is a list of basis for represent each functional beta parameter. If basis.x is a list of functional principal components basis (see create.pc.basis or pca.fd) the argument basis.b is ignored.

References

Ramsay, James O., and Silverman, Bernard W. (2006), Functional Data Analysis, 2nd ed., Springer, New York. McCullagh and Nelder (1989), Generalized Linear Models 2nd ed. Chapman and Hall. Venables, W. N. and Ripley, B. D. (2002) Modern Applied Statistics with S, New York: Springer.

See Also

See Also as: fregre.gsam. Alternative method: classif.np, classif.glm and classif.gkam.

Examples

data(phoneme)
mlearn<-phoneme[["learn"]]
glearn<-phoneme[["classlearn"]]
mtest<-phoneme[["test"]]
gtest<-phoneme[["classtest"]]
dataf<-data.frame(glearn)
dat=list("df"=dataf,"x"=mlearn)
a1<-classif.gsam(glearn~s(x,k=3),data=dat)
summary(a1)
newdat<-list("x"=mtest)
p1<-predict.classif(a1,newdat)
table(gtest,p1)
sum(p1==gtest)/250