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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

15,929

Version

2.4.8

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

July 5th, 2018

Functions in fda (2.4.8)

Create a bivariate functional data object

Mark Intervals on a Plot Axis

create.constant.basis

Create a Constant Basis

create.exponential.basis

Create an Exponential Basis

B-Spline Penalty Matrix

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

Compute a Probability Density Function

Tibia Length for One Baby

Compare dimensions and dimnames of arrays

dateAccessories

Numeric and character vectors to facilitate working with dates

Fourier Basis Function Values

Functional Regression Analysis

Define a Bivariate Functional Parameter Object

Create Basis Set for Functional Data Analysis

Compute a Derivative of a Functional Data Object

B-spline Basis Function Values

checkLogicalInteger

Does an argument satisfy required conditions?

Copy a file with a default 'to' name

create.bspline.basis

Create a B-spline Basis

Plot Cycles for a Periodic Bivariate Functional Data Object

Functional Canonical Correlation Analysis

Compute Inner Products B-spline Expansions.

Values of Basis Functions or their Derivatives

Center Functional Data

create.polygonal.basis

Create a Polygonal Basis

Define a Functional Basis Object

basisfd.product

Product of two basisfd objects

Confirm Object has Class "fdSmooth"

Values a Two-argument Functional Data Object

Correlation matrix from functional data object(s)

Extract functional coefficients

create.power.basis

Create a Power Basis Object

Extract the knots from a function basis or data object

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

Get subdirectories

Plot Columns of Matrices

Berkeley Growth Study data

Mean of Functional Data

Stability Analysis for Principle Differential Analysis

exponentiate.fd

Powers of a functional data ('fd') object

Values of a Functional Data Object

Quadrature points and weights for Simpson's rule

Cursive handwriting samples

Values of a Monotone Functional Data Object

Add 'fdaM' to the Matlab path

Fourier Penalty Matrix

Extract plot labels and names for replicates and variables

Exponential Penalty Matrix

Evaluate a Basis Penalty Matrix

Convert Degrees of Freedom to a Smoothing Parameter Value

Download data from the Human Mortality Database (HMD)

Correct for initial position error between functional data objects.

Register Functional Data Objects with Pre-Computed Warping Functions

Evaluate the Diagonal of a Bivariate Functional Data Object

Evaluate a Positive Functional Data Object

Functional Data Analysis in R

Define a Functional Parameter Object

getbasispenalty

Evaluate a Roughness Penalty Matrix

Hip and knee angle while walking

Exponential Basis Function Values

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

solve(A, B) where A is symmetric

Convert Integer to Linear Differential Operator

Confirm Object is Class "Basisfd"

Inner products of Functional Data Objects.

Extract the range from a basis object

Define a Functional Data Object

Functional Boxplots

Confirm Object has Class "fd"

Convert a univariate functional data object to s list

Confirm Object has Class "fdPar"

Support functions for lmWinsor

Evaluate Monomial Roughness Penalty Matrix

Evaluate Monomial Basis

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

Plot a Basis Object

Evaluates a monotone function

Winsorized Regression with mixed effects

melanoma 1936-1972

Convert Smoothing Parameter to Degrees of Freedom

Plot a Linear Differential Operator Object

Confirm that two objects of class "Basisfd" are identical

Polygonal Penalty Matrix

Stability Analysis for Principle Differential Analysis

Add Lines from Functional Data to a Plot

Principal Differential Analysis

Compute GCV Criterion

Generalized eigenanalysis

Fit Fully Functional Linear Model

Power Basis Function Values

predict.lmWinsor

Predict method for Winsorized linear model fits

Phase-plane plot

Plot Functional Principal Components

Reflux and tray level in a refinery

Numerical Solution mth Order Differential Equation System

predict.fRegress

Predict method for Functional Regression

Add names to an object

growth in height of one 10-year-old boy

Values of Basis Functions or their Derivatives

Sea Bird Counts

pinch force data

Register Functional Data Objects Using a Continuous Criterion

Functional Principal Components Analysis

Plot Principle Differential Analysis Components

Plot a Functional Data Object With Data

Intensity Function for Point Process

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

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

Confirm Object has Class "Lfd"

Smooth a functional data object using a directly specified roughness penalty

smooth.monotone

Monotone Smoothing of Data

Smooth Data with a Positive Function

Plot a functional parameter object with confidence limits

landmark.reg.expData

Experiment data for landmark registration and alignment

Estimates a Smooth Warping Function

Sum of Functional Data

Plot the results of the registration of a set of curves

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

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

Approximate Functional Data Using a Basis

Landmark Registration of Functional Observations

Nondurable goods index

Order of a B-spline

Plot Functional Canonical Correlation Weight Functions

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

Smooth a discrete surface over a rectangular lattice

Make a Linear Differential Operator Object from a Vector

Summarize a Functional Parameter Object

Plot a Functional Data Object

Standard Deviation of Functional Data

Summarize a Linear Differential Operator Object

Plot Principal Component Scores

Check a vector of weights

singular value decomposition with automatic error handling

Polygonal Basis Function Values

summary.basisfd

Summarize a Functional Data Object

Does the range of the input contain 0?

Power Penalty Matrix

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

Summarize a Bivariate Functional Data Object

Rotation of Functional Canonical Components with VARIMAX

Summarize a Functional Data Object

Rotation of Functional Principal Components with VARIMAX Criterion

Define a Linear Differential Operator Object

Montreal Daily Temperature

Permutation F-test for functional linear regression.

CanadianWeather

Canadian average annual weather cycle

Swap argvals with y if the latter is simpler.

Taylor representation of a B-Spline

Continuously Stirred Tank Reactor

F-statistic for functional linear regression.

Convert a spline object to class 'fd'

Regina Daily Precipitation

Statistical Science in Chinese

Create a functional data object from data

Eigenanalysis preserving dimnames

arithmetic.basisfd

Arithmatic on functional basis objects

Arithmetic on functional data ('fd') objects

Decomposition for Amplitude and Phase Variation

Test if running as CRAN

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

Reshape a vector or array to have 3 dimensions.