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fda (version 2.4.8)

Functional Data Analysis

Description

These functions were developed to support functional data analysis as described in Ramsay, J. O. and Silverman, B. W. (2005) Functional Data Analysis. New York: Springer. They were ported from earlier versions in Matlab and S-PLUS. An introduction appears in Ramsay, J. O., Hooker, Giles, and Graves, Spencer (2009) Functional Data Analysis with R and Matlab (Springer). The package includes data sets and script files working many examples including all but one of the 76 figures in this latter book. Matlab versions of the code and sample analyses are no longer distributed through CRAN, as they were when the book was published. For those, ftp from There you find a set of .zip files containing the functions and sample analyses, as well as two .txt files giving instructions for installation and some additional information. The changes from Version 2.4.1 are fixes of bugs in density.fd and removal of functions create.polynomial.basis, polynompen, and polynomial. These were deleted because the monomial basis does the same thing and because there were errors in the code.

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Version

Install

install.packages('fda')

Monthly Downloads

15,338

Version

2.4.8

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

July 5th, 2018

Functions in fda (2.4.8)

bifd

Create a bivariate functional data object
axisIntervals

Mark Intervals on a Plot Axis
create.constant.basis

Create a Constant Basis
create.exponential.basis

Create an Exponential Basis
bsplinepen

B-Spline Penalty Matrix
fRegress.CV

Computes Cross-validated Error Sum of Integrated Squared Errors for a Functional Regression Model
density.fd

Compute a Probability Density Function
infantGrowth

Tibia Length for One Baby
checkDims3

Compare dimensions and dimnames of arrays
dateAccessories

Numeric and character vectors to facilitate working with dates
fourier

Fourier Basis Function Values
fRegress

Functional Regression Analysis
bifdPar

Define a Bivariate Functional Parameter Object
create.basis

Create Basis Set for Functional Data Analysis
deriv.fd

Compute a Derivative of a Functional Data Object
bsplineS

B-spline Basis Function Values
checkLogicalInteger

Does an argument satisfy required conditions?
file.copy2

Copy a file with a default 'to' name
create.bspline.basis

Create a B-spline Basis
cycleplot.fd

Plot Cycles for a Periodic Bivariate Functional Data Object
cca.fd

Functional Canonical Correlation Analysis
inprod.bspline

Compute Inner Products B-spline Expansions.
eval.basis

Values of Basis Functions or their Derivatives
center.fd

Center Functional Data
create.polygonal.basis

Create a Polygonal Basis
basisfd

Define a Functional Basis Object
basisfd.product

Product of two basisfd objects
is.fdSmooth

Confirm Object has Class "fdSmooth"
eval.bifd

Values a Two-argument Functional Data Object
cor.fd

Correlation matrix from functional data object(s)
coef.fd

Extract functional coefficients
create.power.basis

Create a Power Basis Object
knots.fd

Extract the knots from a function basis or data object
lip

Lip motion
lmWinsor

Winsorized Regression
create.fourier.basis

Create a Fourier Basis
df.residual.fRegress

Degress of Freedom for Residuals from a Functional Regression
create.monomial.basis

Create a Monomial Basis
dirs

Get subdirectories
matplot

Plot Columns of Matrices
growth

Berkeley Growth Study data
mean.fd

Mean of Functional Data
eigen.pda

Stability Analysis for Principle Differential Analysis
exponentiate.fd

Powers of a functional data ('fd') object
eval.fd

Values of a Functional Data Object
quadset

Quadrature points and weights for Simpson's rule
handwrit

Cursive handwriting samples
eval.monfd

Values of a Monotone Functional Data Object
fdaMatlabPath

Add 'fdaM' to the Matlab path
fourierpen

Fourier Penalty Matrix
fdlabels

Extract plot labels and names for replicates and variables
exponpen

Exponential Penalty Matrix
eval.penalty

Evaluate a Basis Penalty Matrix
df2lambda

Convert Degrees of Freedom to a Smoothing Parameter Value
readHMD

Download data from the Human Mortality Database (HMD)
register.fd0

Correct for initial position error between functional data objects.
register.newfd

Register Functional Data Objects with Pre-Computed Warping Functions
evaldiag.bifd

Evaluate the Diagonal of a Bivariate Functional Data Object
eval.posfd

Evaluate a Positive Functional Data Object
fda-package

Functional Data Analysis in R
fdPar

Define a Functional Parameter Object
getbasispenalty

Evaluate a Roughness Penalty Matrix
gait

Hip and knee angle while walking
expon

Exponential Basis Function Values
fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis
symsolve

solve(A, B) where A is symmetric
int2Lfd

Convert Integer to Linear Differential Operator
is.basis

Confirm Object is Class "Basisfd"
inprod

Inner products of Functional Data Objects.
getbasisrange

Extract the range from a basis object
fd

Define a Functional Data Object
fbplot

Functional Boxplots
is.fd

Confirm Object has Class "fd"
fd2list

Convert a univariate functional data object to s list
is.fdPar

Confirm Object has Class "fdPar"
lmWinsor12

Support functions for lmWinsor
monomialpen

Evaluate Monomial Roughness Penalty Matrix
monomial

Evaluate Monomial Basis
tperm.fd

Permutation t-test for two groups of functional data objects.
plot.basisfd

Plot a Basis Object
monfn

Evaluates a monotone function
lmeWinsor

Winsorized Regression with mixed effects
melanoma

melanoma 1936-1972
lambda2df

Convert Smoothing Parameter to Degrees of Freedom
plot.Lfd

Plot a Linear Differential Operator Object
is.eqbasis

Confirm that two objects of class "Basisfd" are identical
polygpen

Polygonal Penalty Matrix
plot.lmWinsor

lmWinsor plot
pda.overlay

Stability Analysis for Principle Differential Analysis
lines.fd

Add Lines from Functional Data to a Plot
pda.fd

Principal Differential Analysis
lambda2gcv

Compute GCV Criterion
geigen

Generalized eigenanalysis
linmod

Fit Fully Functional Linear Model
powerbasis

Power Basis Function Values
predict.lmWinsor

Predict method for Winsorized linear model fits
phaseplanePlot

Phase-plane plot
plot.pca.fd

Plot Functional Principal Components
refinery

Reflux and tray level in a refinery
odesolv

Numerical Solution mth Order Differential Equation System
predict.fRegress

Predict method for Functional Regression
objAndNames

Add names to an object
onechild

growth in height of one 10-year-old boy
getbasismatrix

Values of Basis Functions or their Derivatives
seabird

Sea Bird Counts
pinch

pinch force data
register.fd

Register Functional Data Objects Using a Continuous Criterion
pca.fd

Functional Principal Components Analysis
plot.pda.fd

Plot Principle Differential Analysis Components
plotfit

Plot a Functional Data Object With Data
intensity.fd

Intensity Function for Point Process
smooth.basis

Construct a functional data object by smoothing data using a roughness penalty
smooth.fd

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty
is.Lfd

Confirm Object has Class "Lfd"
smooth.fdPar

Smooth a functional data object using a directly specified roughness penalty
smooth.monotone

Monotone Smoothing of Data
smooth.pos

Smooth Data with a Positive Function
plotbeta

Plot a functional parameter object with confidence limits
landmark.reg.expData

Experiment data for landmark registration and alignment
smooth.morph

Estimates a Smooth Warping Function
sum.fd

Sum of Functional Data
plotreg.fd

Plot the results of the registration of a set of curves
var.fd

Variance, Covariance, and Correlation Surfaces for Functional Data Object(s)
varmx

Rotate a Matrix of Component Loadings using the VARIMAX Criterion
residuals.fRegress

Residuals from a Functional Regression
predict.lmeWinsor

Predict method for Winsorized linear model fits with mixed effects
project.basis

Approximate Functional Data Using a Basis
landmarkreg

Landmark Registration of Functional Observations
nondurables

Nondurable goods index
norder

Order of a B-spline
plot.cca.fd

Plot Functional Canonical Correlation Weight Functions
smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty
smooth.bibasis

Smooth a discrete surface over a rectangular lattice
vec2Lfd

Make a Linear Differential Operator Object from a Vector
summary.fdPar

Summarize a Functional Parameter Object
plot.fd

Plot a Functional Data Object
sd.fd

Standard Deviation of Functional Data
summary.Lfd

Summarize a Linear Differential Operator Object
plotscores

Plot Principal Component Scores
wtcheck

Check a vector of weights
svd2

singular value decomposition with automatic error handling
polyg

Polygonal Basis Function Values
summary.basisfd

Summarize a Functional Data Object
zerofind

Does the range of the input contain 0?
powerpen

Power Penalty Matrix
ppBspline

Convert a B-spline function to piece-wise polynomial form
summary.bifd

Summarize a Bivariate Functional Data Object
varmx.cca.fd

Rotation of Functional Canonical Components with VARIMAX
summary.fd

Summarize a Functional Data Object
varmx.pca.fd

Rotation of Functional Principal Components with VARIMAX Criterion
Lfd

Define a Linear Differential Operator Object
MontrealTemp

Montreal Daily Temperature
Fperm.fd

Permutation F-test for functional linear regression.
CanadianWeather

Canadian average annual weather cycle
argvalsy.swap

Swap argvals with y if the latter is simpler.
TaylorSpline

Taylor representation of a B-Spline
CSTR

Continuously Stirred Tank Reactor
Fstat.fd

F-statistic for functional linear regression.
as.fd

Convert a spline object to class 'fd'
ReginaPrecip

Regina Daily Precipitation
StatSciChinese

Statistical Science in Chinese
Data2fd

Create a functional data object from data
Eigen

Eigenanalysis preserving dimnames
arithmetic.basisfd

Arithmatic on functional basis objects
arithmetic.fd

Arithmetic on functional data ('fd') objects
AmpPhaseDecomp

Decomposition for Amplitude and Phase Variation
CRAN

Test if running as CRAN
as.POSIXct1970

as.POXIXct for number of seconds since the start of 1970.
as.array3

Reshape a vector or array to have 3 dimensions.