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fda (version 2.4.8.1)

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

17,533

Version

2.4.8.1

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

February 19th, 2020

Functions in fda (2.4.8.1)

CanadianWeather

Canadian average annual weather cycle

Montreal Daily Temperature

Test if running as CRAN

Continuously Stirred Tank Reactor

Decomposition for Amplitude and Phase Variation

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

Eigenanalysis preserving dimnames

Create a functional data object from data

Define a Linear Differential Operator Object

F-statistic for functional linear regression.

Permutation F-test for functional linear regression.

Regina Daily Precipitation

Mark Intervals on a Plot Axis

Define a Bivariate Functional Parameter Object

Convert a spline object to class 'fd'

Compare dimensions and dimnames of arrays

Create Basis Set for Functional Data Analysis

Create a bivariate functional data object

arithmetic.basisfd

Arithmatic on functional basis objects

Taylor representation of a B-Spline

create.polygonal.basis

Create a Polygonal Basis

checkLogicalInteger

Does an argument satisfy required conditions?

Statistical Science in Chinese

Values a Two-argument Functional Data Object

Reshape a vector or array to have 3 dimensions.

Swap argvals with y if the latter is simpler.

Values of Basis Functions or their Derivatives

create.power.basis

Create a Power Basis Object

Arithmetic on functional data ('fd') objects

create.bspline.basis

Create a B-spline Basis

B-Spline Penalty Matrix

Define a Functional Basis Object

B-spline Basis Function Values

basisfd.product

Product of two basisfd objects

Center Functional Data

create.constant.basis

Create a Constant Basis

Functional Canonical Correlation Analysis

create.exponential.basis

Create an Exponential Basis

Get subdirectories

Plot Cycles for a Periodic Bivariate Functional Data Object

Correlation matrix from functional data object(s)

Evaluate the Diagonal of a Bivariate Functional Data Object

create.fourier.basis

Create a Fourier Basis

Compute a Probability Density Function

Values of a Functional Data Object

Values of a Monotone Functional Data Object

Stability Analysis for Principle Differential Analysis

Extract functional coefficients

dateAccessories

Numeric and character vectors to facilitate working with dates

Exponential Basis Function Values

Compute a Derivative of a Functional Data Object

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

Define a Functional Data Object

Functional Boxplots

create.monomial.basis

Create a Monomial Basis

df.residual.fRegress

Degress of Freedom for Residuals from a Functional Regression

Evaluate a Basis Penalty Matrix

Convert a univariate functional data object to s list

Tibia Length for One Baby

Cursive handwriting samples

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

Berkeley Growth Study data

Functional Regression Analysis

Confirm Object has Class "fd"

Fourier Penalty Matrix

Add 'fdaM' to the Matlab path

Functional Data Analysis in R

Hip and knee angle while walking

Define a Functional Parameter Object

Confirm Object has Class "fdPar"

Intensity Function for Point Process

Extract plot labels and names for replicates and variables

Evaluate a Positive Functional Data Object

Confirm Object has Class "Lfd"

Convert Degrees of Freedom to a Smoothing Parameter Value

Compute Inner Products B-spline Expansions.

Convert Smoothing Parameter to Degrees of Freedom

getbasispenalty

Evaluate a Roughness Penalty Matrix

exponentiate.fd

Powers of a functional data ('fd') object

Landmark Registration of Functional Observations

landmark.reg.expData

Experiment data for landmark registration and alignment

Evaluate Monomial Roughness Penalty Matrix

Evaluate Monomial Basis

Confirm Object has Class "fdSmooth"

Copy a file with a default 'to' name

Extract the range from a basis object

Fourier Basis Function Values

Values of Basis Functions or their Derivatives

Generalized eigenanalysis

Compute GCV Criterion

Confirm Object is Class "Basisfd"

Extract the knots from a function basis or data object

melanoma 1936-1972

Inner products of Functional Data Objects.

Evaluates a monotone function

Support functions for lmWinsor

Add Lines from Functional Data to a Plot

Convert Integer to Linear Differential Operator

Exponential Penalty Matrix

Principal Differential Analysis

Stability Analysis for Principle Differential Analysis

Winsorized Regression with mixed effects

Plot Functional Canonical Correlation Weight Functions

Plot a Functional Data Object

Plot Columns of Matrices

predict.lmWinsor

Predict method for Winsorized linear model fits

Nondurable goods index

Polygonal Basis Function Values

predict.fRegress

Predict method for Functional Regression

Polygonal Penalty Matrix

Confirm that two objects of class "Basisfd" are identical

Plot Principal Component Scores

Fit Fully Functional Linear Model

Sea Bird Counts

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

Winsorized Regression

Functional Principal Components Analysis

growth in height of one 10-year-old boy

Mean of Functional Data

Power Penalty Matrix

Plot a Functional Data Object With Data

Numerical Solution mth Order Differential Equation System

Phase-plane plot

Add names to an object

Power Basis Function Values

residuals.fRegress

Residuals from a Functional Regression

pinch force data

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

Plot a Linear Differential Operator Object

Plot the results of the registration of a set of curves

Plot Principle Differential Analysis Components

Order of a B-spline

Standard Deviation of Functional Data

Summarize a Functional Parameter Object

Plot a Basis Object

predict.lmeWinsor

Predict method for Winsorized linear model fits with mixed effects

Plot a functional parameter object with confidence limits

Quadrature points and weights for Simpson's rule

Approximate Functional Data Using a Basis

Plot Functional Principal Components

Reflux and tray level in a refinery

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

Smooth a functional data object using a directly specified roughness penalty

Register Functional Data Objects Using a Continuous Criterion

Summarize a Bivariate Functional Data Object

Does the range of the input contain 0?

Summarize a Linear Differential Operator Object

summary.basisfd

Summarize a Functional Data Object

Download data from the Human Mortality Database (HMD)

singular value decomposition with automatic error handling

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

Correct for initial position error between functional data objects.

Summarize a Functional Data Object

Register Functional Data Objects with Pre-Computed Warping Functions

Check a vector of weights

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

Estimates a Smooth Warping Function

Make a Linear Differential Operator Object from a Vector

solve(A, B) where A is symmetric

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

smooth.monotone

Monotone Smoothing of Data

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

Smooth a discrete surface over a rectangular lattice

Smooth Data with a Positive Function

Rotation of Functional Canonical Components with VARIMAX

Sum of Functional Data

Rotation of Functional Principal Components with VARIMAX Criterion