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fda (version 2.1.3)

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

13,909

Version

2.1.3

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

October 18th, 2009

Functions in fda (2.1.3)

gait

Hip and knee angle while walking
lambda2df

Convert Smoothing Parameter to Degrees of Freedom
intensity.fd

Intensity Function for Point Process
lmWinsor

Winsorized Regression
summary.fdPar

Summarize a Functional Parameter Object
basisfd

Define a Functional Basis Object
predict.lmWinsor

Predict method for Winsorized linear model fits
fRegress.stderr

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

Winsorized Regression with mixed effects
landmarkreg

Landmark Registration of Functional Observations
create.exponential.basis

Create an Exponential Basis
getbasispenalty

Evaluate a Roughness Penalty Matrix
create.polynomial.basis

Create a Polynomial Basis
sd.fd

Standard Deviation of Functional Data
int2Lfd

Convert Integer to Linear Differential Operator
deriv.fd

Compute a Derivative of a Functional Data Object
dirs

Get subdirectories
MontrealTemp

Montreal Daily Temperature
checkDims3

Compare dimensions and dimnames of arrays
fda-package

Functional Data Analysis in R
create.power.basis

Create a Power Basis Object
smooth.pos

Smooth Data with a Positive Function
inprod

Inner products of Functional Data Objects.
create.fourier.basis

Create a Fourier Basis
seabird

Sea Bird Counts
fdPar

Define a Functional Parameter Object
create.basis

Create Basis Set for Functional Data Analysis
summary.basisfd

Summarize a Functional Data Object
plotbeta

Plot a functional parameter object with confidence limits
smooth.fd

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

Rotation of Functional Principal Components with VARIMAX Criterion
predict.lmeWinsor

Predict method for Winsorized linear model fits with mixed effects
lip

Lip motion
vec2Lfd

Make a Linear Differential Operator Object from a Vector
smooth.basis

Smooth Data with an Indirectly Specified Roughness Penalty
lambda2gcv

Compute GCV Criterion
nondurables

Nondurable goods index
smooth.fdPar

Smooth a functional data object using a directly specified roughness penalty
sum.fd

Sum of Functional Data
Fstat.fd

F-statistic for functional linear regression.
monfn

Evaluates a monotone function
eval.monfd

Values of a Monotone Functional Data Object
checkLogicalInteger

Does an argument satisfy required conditions?
center.fd

Center Functional Data
plot.fd

Plot a Functional Data Object
plot.basisfd

Plot a Basis Object
create.polygonal.basis

Create a Polygonal Basis
powerbasis

Power Basis Function Values
eval.basis

Values of Basis Functions or their Derivatives
expect.phi

Expectation of basis functions
expon

Exponential Basis Function Values
var.fd

Variance, Covariance, and Correlation Surfaces for Functional Data Object(s)
create.bspline.basis

Create a B-spline Basis
predict.fRegress

Predict method for Functional Regression
Fperm.fd

Permutation F-test for functional linear regression.
evaldiag.bifd

Evaluate the Diagonal of a Bivariate Functional Data Object
varmx.cca.fd

Rotation of Functional Canonical Components with VARIMAX
axisIntervals

Mark Intervals on a Plot Axis
arithmetic.basisfd

Arithmatic on functional basis objects
handwrit

Cursive handwriting samples
eval.fd

Values of a Functional Data Object
df2lambda

Convert Degrees of Freedom to a Smoothing Parameter Value
is.fd

Confirm Object has Class "fd"
as.fd

Convert a spline object to class 'fd'
fd

Define a Functional Data Object
is.Lfd

Confirm Object has Class "Lfd"
create.constant.basis

Create a Constant Basis
norder

Order of a B-spline
project.basis

Approximate Functional Data Using a Basis
fda-internal

FDA internal functions
cor.fd

Correlation matrix from functional data object(s)
fdlabels

Extract plot labels and names for replicates and variables
fdaMatlabPath

Add 'fdaM' to the Matlab path
Data2fd

Create a functional data object from data
pda.overlay

Stability Analysis for Principle Differential Analysis
lines.fd

Add Lines from Functional Data to a Plot
pda.fd

Principal Differential Analysis
fourier

Fourier Basis Function Values
plotscores

Plot Principal Component Scores
phaseplanePlot

Phase-plane plot
file.copy2

Copy a file with a default 'to' name
summary.Lfd

Summarize a Linear Differential Operator Object
getbasisrange

Extract the range from a basis object
pca.fd

Functional Principal Components Analysis
basisfd.product

Product of two basisfd objects
monomialpen

Evaluate Monomial Roughness Penalty Matrix
Eigen

Eigenanalysis preserving dimnames
fRegress

Functional Regression Analysis
polyg

Polygonal Basis Function Values
powerpen

Power Penalty Matrix
smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty
arithmetic.fd

Arithmetic on functional data ('fd') objects
zerofind

Does the range of the input contain 0?
varmx

Rotate a Matrix of Component Loadings using the VARIMAX Criterion
TaylorSpline

Taylor representation of a B-Spline
eval.posfd

Evaluate a Positive Functional Data Object
StatSciChinese

Statistical Science in Chinese
pinch

pinch force data
cycleplot.fd

Plot Cycles for a Periodic Bivariate 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
lmWinsor12

Support functions for lmWinsor
getbasismatrix

Values of Basis Functions or their Derivatives
onechild

growth in height of one 10-year-old boy
as.array3

Reshape a vector or array to have 3 dimensions.
inprod.bspline

Compute Inner Products B-spline Expansions.
bsplineS

B-spline Basis Function Values
polygpen

Polygonal Penalty Matrix
coef.fd

Extract functional coefficients
smooth.bibasis

Smooth a discrete surface over a rectangular lattice
plot.pca.fd

Plot Functional Principal Components
objAndNames

Add names to an object
CanadianWeather

Canadian average annual weather cycle
plot.lmWinsor

lmWinsor plot
residuals.fRegress

Residuals from a Functional Regression
fourierpen

Fourier Penalty Matrix
landmark.reg.expData

Experiment data for landmark registration and alignment
is.fdPar

Confirm Object has Class "fdPar"
plotfit

Plot a Functional Data Object With Data
summary.fd

Summarize a Functional Data Object
tperm.fd

Permutation t-test for two groups of functional data objects.
create.monomial.basis

Create a Monomial Basis
svd2

singular value decomposition with automatic error handling
knots.fd

Extract the knots from a function basis or data object
smooth.monotone

Monotone Smoothing of Data
melanoma

melanoma 1936-1972
register.fd

Register Functional Data Objects Using a Continuous Criterion
eval.penalty

Evaluate a Basis Penalty Matrix
cca.fd

Functional Canonical Correlation Analysis
refinery

Reflux and tray level in a refinery
data2fd.old

Depricated: use 'Data2fd'
smooth.morph

Estimates a Smooth Warping Function
CSTR

Continuously Stirred Tank Reactor
df.residual.fRegress

Degress of Freedom for Residuals from a Functional Regression
Lfd

Define a Linear Differential Operator Object
ReginaPrecip

Regina Daily Precipitation
mean.fd

Mean of Functional Data
dateAccessories

Numeric and character vectors to facilitate working with dates
quadset

Quadrature points and weights for Simpson's rule
odesolv

Numerical Solution mth Order Differential Equation System
eval.bifd

Values a Two-argument Functional Data Object
is.basis

Confirm Object is Class "Basisfd"
monomial

Evaluate Monomial Basis
summary.bifd

Summarize a Bivariate Functional Data Object
wtcheck

Check a vector of weights
argvalsy.swap

Swap argvals with y if the latter is simpler.
bsplinepen

B-Spline Penalty Matrix
bifd

Create a bivariate functional data object
density.fd

Compute a Probability Density Function
exponpen

Exponential Penalty Matrix
infantGrowth

Tibia Length for One Baby
growth

Berkeley Growth Study data
plot.Lfd

Plot a Linear Differential Operator Object
linmod

Fit Fully Functional Linear Model