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fda (version 2.4.0)

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 http://www.psych.mcgill.ca/misc/fda/downloads/FDAfuns/ 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.

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Version

Install

install.packages('fda')

Monthly Downloads

17,533

Version

2.4.0

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

October 18th, 2013

Functions in fda (2.4.0)

CanadianWeather

Canadian average annual weather cycle

Arithmetic on functional data ('fd') objects

Correlation matrix from functional data object(s)

basisfd.product

Product of two basisfd objects

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

F-statistic for functional linear regression.

Register Functional Data Objects Using a Continuous Criterion

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

Plot Functional Principal Components

Swap argvals with y if the latter is simpler.

Polygonal Penalty Matrix

create.bspline.basis

Create a B-spline Basis

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

Evaluate a Basis Penalty Matrix

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

growth in height of one 10-year-old boy

Compare dimensions and dimnames of arrays

Test if running as CRAN

Exponential Basis Function Values

Evaluate the Diagonal of a Bivariate Functional Data Object

Values of Basis Functions or their Derivatives

Confirm Object has Class "Lfd"

Power Basis Function Values

Statistical Science in Chinese

Add 'fdaM' to the Matlab path

B-Spline Penalty Matrix

landmark.reg.expData

Experiment data for landmark registration and alignment

Add names to an object

Values of a Monotone Functional Data Object

Regina Daily Precipitation

create.power.basis

Create a Power Basis Object

Copy a file with a default 'to' name

Plot Cycles for a Periodic Bivariate Functional Data Object

Winsorized Regression

Check a vector of weights

Functional Regression Analysis

Convert a spline object to class 'fd'

Numerical Solution mth Order Differential Equation System

Create a functional data object from data

exponentiate.fd

Powers of a functional data ('fd') object

Convert a univariate functional data object to s list

Evaluates a monotone function

checkLogicalInteger

Does an argument satisfy required conditions?

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

predict.lmWinsor

Predict method for Winsorized linear model fits

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

Evaluate Monomial Roughness Penalty Matrix

arithmetic.basisfd

Arithmatic on functional basis objects

Hip and knee angle while walking

Generalized eigenanalysis

Confirm Object has Class "fdPar"

Extract the range from a basis object

Functional Principal Components Analysis

Principal Differential Analysis

Phase-plane plot

singular value decomposition with automatic error handling

Center Functional Data

Download data from the Human Mortality Database (HMD)

create.polynomial.basis

Create a Polynomial Basis

Values of a Functional Data Object

Plot Columns of Matrices

Plot a Functional Data Object

Summarize a Linear Differential Operator Object

Order of a B-spline

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

Taylor representation of a B-Spline

Functional Canonical Correlation Analysis

Create a bivariate functional data object

create.monomial.basis

Create a Monomial Basis

Plot a Functional Data Object With Data

Evaluate Monomial Basis

df.residual.fRegress

Degress of Freedom for Residuals from a Functional Regression

Make a Linear Differential Operator Object from a Vector

Decomposition for Amplitude and Phase Variation

Rotation of Functional Canonical Components with VARIMAX

Nondurable goods index

Exponential Penalty Matrix

Smooth a discrete surface over a rectangular lattice

Define a Linear Differential Operator Object

create.constant.basis

Create a Constant Basis

Functional Data Analysis in R

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

Montreal Daily Temperature

Fourier Basis Function Values

Define a Bivariate Functional Parameter Object

Get subdirectories

create.exponential.basis

Create an Exponential Basis

Define a Functional Parameter Object

solve(A, B) where A is symmetric

Define a Functional Data Object

Extract functional coefficients

Compute Inner Products B-spline Expansions.

Fourier Penalty Matrix

Values of Basis Functions or their Derivatives

Confirm Object has Class "fd"

Inner products of Functional Data Objects.

Convert Smoothing Parameter to Degrees of Freedom

Tibia Length for One Baby

Fit Fully Functional Linear Model

Compute GCV Criterion

Correct for initial position error between functional data objects.

Approximate Functional Data Using a Basis

Values a Two-argument Functional Data Object

Winsorized Regression with mixed effects

Mean of Functional Data

dateAccessories

Numeric and character vectors to facilitate working with dates

Quadrature points and weights for Simpson's rule

Berkeley Growth Study data

Reflux and tray level in a refinery

Confirm Object is Class "Basisfd"

Summarize a Bivariate Functional Data Object

Smooth Data with a Positive Function

Eigenanalysis preserving dimnames

Convert Integer to Linear Differential Operator

create.polygonal.basis

Create a Polygonal Basis

Register Functional Data Objects with Pre-Computed Warping Functions

Extract the knots from a function basis or data object

melanoma 1936-1972

Support functions for lmWinsor

predict.fRegress

Predict method for Functional Regression

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

Estimates a Smooth Warping Function

Polygonal Basis Function Values

Standard Deviation of Functional Data

residuals.fRegress

Residuals from a Functional Regression

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

Summarize a Functional Data Object

Sea Bird Counts

Plot a functional parameter object with confidence limits

Smooth a functional data object using a directly specified roughness penalty

Rotation of Functional Principal Components with VARIMAX Criterion

Does the range of the input contain 0?

Sum of Functional Data

predict.lmeWinsor

Predict method for Winsorized linear model fits with mixed effects

Compute a Derivative of a Functional Data Object

Confirm Object has Class "fdSmooth"

Plot a Linear Differential Operator Object

pinch force data

Permutation F-test for functional linear regression.

smooth.monotone

Monotone Smoothing of Data

Summarize a Functional Parameter Object

Continuously Stirred Tank Reactor

Reshape a vector or array to have 3 dimensions.

Mark Intervals on a Plot Axis

B-spline Basis Function Values

Convert Degrees of Freedom to a Smoothing Parameter Value

Evaluate a Positive Functional Data Object

Intensity Function for Point Process

Plot Principal Component Scores

Power Penalty Matrix

summary.basisfd

Summarize a Functional Data Object

Extract plot labels and names for replicates and variables

Add Lines from Functional Data to a Plot

Landmark Registration of Functional Observations

Stability Analysis for Principle Differential Analysis

Plot a Basis Object

Define a Functional Basis Object

Create Basis Set for Functional Data Analysis

create.fourier.basis

Create a Fourier Basis

Compute a Probability Density Function

Functional Boxplots

getbasispenalty

Evaluate a Roughness Penalty Matrix

Cursive handwriting samples