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fda (version 2.2.6)

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.

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Version

Install

install.packages('fda')

Monthly Downloads

16,499

Version

2.2.6

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

April 7th, 2011

Functions in fda (2.2.6)

bifd

Create a bivariate functional data object
fdPar

Define a Functional Parameter Object
checkDims3

Compare dimensions and dimnames of arrays
Data2fd

Create a functional data object from data
CSTR

Continuously Stirred Tank Reactor
as.array3

Reshape a vector or array to have 3 dimensions.
deriv.fd

Compute a Derivative of a Functional Data Object
fourier

Fourier Basis Function Values
fd

Define a Functional Data Object
fRegress.CV

Computes Cross-validated Error Sum of Integrated Squared Errors for a Functional Regression Model
AmpPhaseDecomp

Decomposition for Amplitude and Phase Variation
fRegress.stderr

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

Define a Functional Basis Object
create.polynomial.basis

Create a Polynomial Basis
Eigen

Eigenanalysis preserving dimnames
cor.fd

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

Mean of Functional Data
zerofind

Does the range of the input contain 0?
create.basis

Create Basis Set for Functional Data Analysis
monfn

Evaluates a monotone function
handwrit

Cursive handwriting samples
pda.overlay

Stability Analysis for Principle Differential Analysis
inprod.bspline

Compute Inner Products B-spline Expansions.
fda-package

Functional Data Analysis in R
StatSciChinese

Statistical Science in Chinese
TaylorSpline

Taylor representation of a B-Spline
create.fourier.basis

Create a Fourier Basis
arithmetic.basisfd

Arithmatic on functional basis objects
MontrealTemp

Montreal Daily Temperature
evaldiag.bifd

Evaluate the Diagonal of a Bivariate Functional Data Object
getbasispenalty

Evaluate a Roughness Penalty Matrix
int2Lfd

Convert Integer to Linear Differential Operator
basisfd.product

Product of two basisfd objects
gait

Hip and knee angle while walking
bifdPar

Define a Bivariate Functional Parameter Object
bsplineS

B-spline Basis Function Values
coef.fd

Extract functional coefficients
as.fd

Convert a spline object to class 'fd'
lmeWinsor

Winsorized Regression with mixed effects
landmark.reg.expData

Experiment data for landmark registration and alignment
create.power.basis

Create a Power Basis Object
file.copy2

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

Create a Monomial Basis
expect.phi

Expectation of basis functions
eval.posfd

Evaluate a Positive Functional Data Object
eval.fd

Values of a Functional Data Object
predict.lmWinsor

Predict method for Winsorized linear model fits
arithmetic.fd

Arithmetic on functional data ('fd') objects
density.fd

Compute a Probability Density Function
axisIntervals

Mark Intervals on a Plot Axis
sum.fd

Sum of Functional Data
polygpen

Polygonal Penalty Matrix
polyg

Polygonal Basis Function Values
exponpen

Exponential Penalty Matrix
predict.fRegress

Predict method for Functional Regression
bsplinepen

B-Spline Penalty Matrix
smooth.morph

Estimates a Smooth Warping Function
fRegress

Functional Regression Analysis
plot.fd

Plot a Functional Data Object
create.polygonal.basis

Create a Polygonal Basis
project.basis

Approximate Functional Data Using a Basis
create.constant.basis

Create a Constant Basis
create.bspline.basis

Create a B-spline Basis
cycleplot.fd

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

F-statistic for functional linear regression.
expon

Exponential Basis Function Values
getbasisrange

Extract the range from a basis object
is.fdPar

Confirm Object has Class "fdPar"
eval.penalty

Evaluate a Basis Penalty Matrix
monomial

Evaluate Monomial Basis
dirs

Get subdirectories
odesolv

Numerical Solution mth Order Differential Equation System
df.residual.fRegress

Degress of Freedom for Residuals from a Functional Regression
lambda2df

Convert Smoothing Parameter to Degrees of Freedom
is.fdSmooth

Confirm Object has Class "fdSmooth"
is.basis

Confirm Object is Class "Basisfd"
cca.fd

Functional Canonical Correlation Analysis
center.fd

Center Functional Data
CanadianWeather

Canadian average annual weather cycle
register.fd

Register Functional Data Objects Using a Continuous Criterion
norder

Order of a B-spline
lmWinsor12

Support functions for lmWinsor
seabird

Sea Bird Counts
Lfd

Define a Linear Differential Operator Object
argvalsy.swap

Swap argvals with y if the latter is simpler.
dateAccessories

Numeric and character vectors to facilitate working with dates
plotfit

Plot a Functional Data Object With Data
smooth.fd

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

Confirm Object has Class "fd"
linmod

Fit Fully Functional Linear Model
plot.Lfd

Plot a Linear Differential Operator Object
lambda2gcv

Compute GCV Criterion
Fperm.fd

Permutation F-test for functional linear regression.
smooth.bibasis

Smooth a discrete surface over a rectangular lattice
svd2

singular value decomposition with automatic error handling
create.exponential.basis

Create an Exponential Basis
lmWinsor

Winsorized Regression
fda-internal

FDA internal functions
varmx.pca.fd

Rotation of Functional Principal Components with VARIMAX Criterion
plot.pca.fd

Plot Functional Principal Components
lip

Lip motion
vec2Lfd

Make a Linear Differential Operator Object from a Vector
data2fd.old

Depricated: use 'Data2fd'
growth

Berkeley Growth Study data
onechild

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

Nondurable goods index
intensity.fd

Intensity Function for Point Process
register.fd0

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

Register Functional Data Objects with Pre-Computed Warping Functions
smooth.fdPar

Smooth a functional data object using a directly specified roughness penalty
eval.monfd

Values of a Monotone Functional Data Object
df2lambda

Convert Degrees of Freedom to a Smoothing Parameter Value
smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty
inprod

Inner products of Functional Data Objects.
fdlabels

Extract plot labels and names for replicates and variables
summary.fdPar

Summarize a Functional Parameter Object
summary.fd

Summarize a Functional Data Object
plot.lmWinsor

lmWinsor plot
pinch

pinch force data
landmarkreg

Landmark Registration of Functional Observations
powerpen

Power Penalty Matrix
plotscores

Plot Principal Component Scores
phaseplanePlot

Phase-plane plot
lines.fd

Add Lines from Functional Data to a Plot
residuals.fRegress

Residuals from a Functional Regression
plot.basisfd

Plot a Basis Object
infantGrowth

Tibia Length for One Baby
smooth.basis

Smooth Data with an Indirectly Specified Roughness Penalty
smooth.pos

Smooth Data with a Positive Function
smooth.monotone

Monotone Smoothing of Data
ReginaPrecip

Regina Daily Precipitation
fbplot

Functional Boxplots
plotbeta

Plot a functional parameter object with confidence limits
pda.fd

Principal Differential Analysis
tperm.fd

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

Values of Basis Functions or their Derivatives
fourierpen

Fourier Penalty Matrix
predict.lmeWinsor

Predict method for Winsorized linear model fits with mixed effects
fdaMatlabPath

Add 'fdaM' to the Matlab path
refinery

Reflux and tray level in a refinery
knots.fd

Extract the knots from a function basis or data object
eval.basis

Values of Basis Functions or their Derivatives
monomialpen

Evaluate Monomial Roughness Penalty Matrix
melanoma

melanoma 1936-1972
summary.basisfd

Summarize a Functional Data Object
pca.fd

Functional Principal Components Analysis
summary.bifd

Summarize a Bivariate Functional Data Object
summary.Lfd

Summarize a Linear Differential Operator Object
objAndNames

Add names to an object
is.Lfd

Confirm Object has Class "Lfd"
sd.fd

Standard Deviation of Functional Data
powerbasis

Power Basis Function Values
varmx

Rotate a Matrix of Component Loadings using the VARIMAX Criterion
varmx.cca.fd

Rotation of Functional Canonical Components with VARIMAX
checkLogicalInteger

Does an argument satisfy required conditions?
eval.bifd

Values a Two-argument Functional Data Object
quadset

Quadrature points and weights for Simpson's rule
var.fd

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

Check a vector of weights