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fda (version 2.4.7)

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

15,929

Version

2.4.7

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

August 14th, 2017

Functions in fda (2.4.7)

Continuously Stirred Tank Reactor

CanadianWeather

Canadian average annual weather cycle

Taylor representation of a B-Spline

Decomposition for Amplitude and Phase Variation

Test if running as CRAN

Convert a spline object to class 'fd'

Mark Intervals on a Plot Axis

B-spline Basis Function Values

Swap argvals with y if the latter is simpler.

Functional Canonical Correlation Analysis

Center Functional Data

Create a functional data object from data

Eigenanalysis preserving dimnames

arithmetic.basisfd

Arithmatic on functional basis objects

Arithmetic on functional data ('fd') objects

Define a Functional Basis Object

basisfd.product

Product of two basisfd objects

create.fourier.basis

Create a Fourier Basis

create.monomial.basis

Create a Monomial Basis

df.residual.fRegress

Degress of Freedom for Residuals from a Functional Regression

Create Basis Set for Functional Data Analysis

Compute a Probability Density Function

Compute a Derivative of a Functional Data Object

Evaluate the Diagonal of a Bivariate Functional Data Object

Exponential Basis Function Values

create.bspline.basis

Create a B-spline Basis

Permutation F-test for functional linear regression.

F-statistic for functional linear regression.

B-Spline Penalty Matrix

create.polygonal.basis

Create a Polygonal Basis

create.power.basis

Create a Power Basis Object

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

Reshape a vector or array to have 3 dimensions.

Create a bivariate functional data object

Convert Degrees of Freedom to a Smoothing Parameter Value

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

Functional Regression Analysis

Copy a file with a default 'to' name

Fourier Basis Function Values

Berkeley Growth Study data

Define a Bivariate Functional Parameter Object

create.constant.basis

Create a Constant Basis

create.exponential.basis

Create an Exponential Basis

Plot Cycles for a Periodic Bivariate Functional Data Object

dateAccessories

Numeric and character vectors to facilitate working with dates

Evaluate a Basis Penalty Matrix

Define a Functional Parameter Object

Functional Data Analysis in R

Tibia Length for One Baby

Evaluate a Positive Functional Data Object

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

Functional Boxplots

Compute Inner Products B-spline Expansions.

Confirm Object is Class "Basisfd"

Confirm that two objects of class "Basisfd" are identical

Cursive handwriting samples

Confirm Object has Class "fdSmooth"

Extract the knots from a function basis or data object

Fourier Penalty Matrix

Hip and knee angle while walking

Inner products of Functional Data Objects.

Winsorized Regression

Add names to an object

Values of Basis Functions or their Derivatives

Values a Two-argument Functional Data Object

Values of a Functional Data Object

Support functions for lmWinsor

Winsorized Regression with mixed effects

Plot Columns of Matrices

Values of a Monotone Functional Data Object

Define a Functional Data Object

Convert a univariate functional data object to s list

Generalized eigenanalysis

Values of Basis Functions or their Derivatives

Confirm Object has Class "fd"

Numerical Solution mth Order Differential Equation System

growth in height of one 10-year-old boy

Functional Principal Components Analysis

Mean of Functional Data

Plot a Linear Differential Operator Object

Plot a Basis Object

Plot Functional Principal Components

Reflux and tray level in a refinery

Register Functional Data Objects Using a Continuous Criterion

Correct for initial position error between functional data objects.

Register Functional Data Objects with Pre-Computed Warping Functions

Plot a Functional Data Object With Data

Plot the results of the registration of a set of curves

predict.lmeWinsor

Predict method for Winsorized linear model fits with mixed effects

Convert Integer to Linear Differential Operator

Add Lines from Functional Data to a Plot

Fit Fully Functional Linear Model

Smooth Data with a Positive Function

Sum of Functional Data

solve(A, B) where A is symmetric

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

Define a Linear Differential Operator Object

Approximate Functional Data Using a Basis

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

Smooth a discrete surface over a rectangular lattice

Confirm Object has Class "fdPar"

landmark.reg.expData

Experiment data for landmark registration and alignment

Landmark Registration of Functional Observations

Montreal Daily Temperature

Summarize a Linear Differential Operator Object

summary.basisfd

Summarize a Functional Data Object

Rotation of Functional Canonical Components with VARIMAX

Evaluate Monomial Basis

Evaluate Monomial Roughness Penalty Matrix

Principal Differential Analysis

Nondurable goods index

Order of a B-spline

Plot Functional Canonical Correlation Weight Functions

Plot a Functional Data Object

Polygonal Penalty Matrix

Power Basis Function Values

Stability Analysis for Principle Differential Analysis

Plot Principle Differential Analysis Components

Plot a functional parameter object with confidence limits

Rotation of Functional Principal Components with VARIMAX Criterion

Quadrature points and weights for Simpson's rule

Download data from the Human Mortality Database (HMD)

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

Power Penalty Matrix

Convert a B-spline function to piece-wise polynomial form

Sea Bird Counts

Construct a functional data object by smoothing data using a roughness penalty

Summarize a Functional Parameter Object

singular value decomposition with automatic error handling

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

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

Regina Daily Precipitation

Statistical Science in Chinese

Compare dimensions and dimnames of arrays

checkLogicalInteger

Does an argument satisfy required conditions?

Extract functional coefficients

Correlation matrix from functional data object(s)

Get subdirectories

Stability Analysis for Principle Differential Analysis

exponentiate.fd

Powers of a functional data ('fd') object

Exponential Penalty Matrix

Add 'fdaM' to the Matlab path

Extract plot labels and names for replicates and variables

Smooth a functional data object using a directly specified roughness penalty

smooth.monotone

Monotone Smoothing of Data

Estimates a Smooth Warping Function

Make a Linear Differential Operator Object from a Vector

Check a vector of weights

getbasispenalty

Evaluate a Roughness Penalty Matrix

Extract the range from a basis object

Intensity Function for Point Process

Confirm Object has Class "Lfd"

Convert Smoothing Parameter to Degrees of Freedom

Compute GCV Criterion

melanoma 1936-1972

Evaluates a monotone function

Phase-plane plot

pinch force data

Plot Principal Component Scores

Polygonal Basis Function Values

predict.fRegress

Predict method for Functional Regression

predict.lmWinsor

Predict method for Winsorized linear model fits

residuals.fRegress

Residuals from a Functional Regression

Standard Deviation of Functional Data

Summarize a Bivariate Functional Data Object

Summarize a Functional Data Object

Does the range of the input contain 0?