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fda (version 2.3.6)

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. As of this release, the R-Project is no longer distributing the Matlab versions of the functional data analysis functions and sample analyses through the CRAN distribution system. This is due to the pressure placed on storage required in the many CRAN sites by the rapidly increasing number of R packages, of which the fda package is one. The three of us involved in this package have agreed to help out this situation by switching to distributing the Matlab functions and analyses through Jim Ramsay's ftp site at McGill University. To obtain these Matlab files, go to this site using an ftp utility: 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

14,583

Version

2.3.6

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

May 24th, 2013

Functions in fda (2.3.6)

Swap argvals with y if the latter is simpler.

Create Basis Set for Functional Data Analysis

B-Spline Penalty Matrix

Regina Daily Precipitation

Center Functional Data

Extract functional coefficients

Functional Canonical Correlation Analysis

Reshape a vector or array to have 3 dimensions.

Exponential Penalty Matrix

Get subdirectories

Copy a file with a default 'to' name

Add 'fdaM' to the Matlab path

Functional Data Analysis in R

create.polygonal.basis

Create a Polygonal Basis

create.exponential.basis

Create an Exponential Basis

Power Penalty Matrix

create.polynomial.basis

Create a Polynomial Basis

predict.lmeWinsor

Predict method for Winsorized linear model fits with mixed effects

Berkeley Growth Study data

Confirm Object has Class "fd"

Create a functional data object from data

Convert Integer to Linear Differential Operator

Arithmetic on functional data ('fd') objects

Define a Functional Basis Object

F-statistic for functional linear regression.

Functional Regression Analysis

Generalized eigenanalysis

Evaluate Monomial Basis

Summarize a Functional Data Object

Plot Cycles for a Periodic Bivariate Functional Data Object

create.monomial.basis

Create a Monomial Basis

create.fourier.basis

Create a Fourier Basis

Compute a Derivative of a Functional Data Object

Define a Linear Differential Operator Object

landmark.reg.expData

Experiment data for landmark registration and alignment

Plot Principal Component Scores

Statistical Science in Chinese

Phase-plane plot

df.residual.fRegress

Degress of Freedom for Residuals from a Functional Regression

create.bspline.basis

Create a B-spline Basis

create.power.basis

Create a Power Basis Object

Tibia Length for One Baby

exponentiate.fd

Powers of a functional data ('fd') object

Confirm Object has Class "fdSmooth"

Register Functional Data Objects with Pre-Computed Warping Functions

Functional Boxplots

Convert Smoothing Parameter to Degrees of Freedom

Define a Bivariate Functional Parameter Object

Add Lines from Functional Data to a Plot

Values of Basis Functions or their Derivatives

pinch force data

Evaluate a Positive Functional Data Object

Test if running as CRAN

Landmark Registration of Functional Observations

Confirm Object has Class "Lfd"

Support functions for lmWinsor

Values of Basis Functions or their Derivatives

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

Quadrature points and weights for Simpson's rule

Extract plot labels and names for replicates and variables

Cursive handwriting samples

B-spline Basis Function Values

melanoma 1936-1972

basisfd.product

Product of two basisfd objects

Summarize a Bivariate Functional Data Object

checkLogicalInteger

Does an argument satisfy required conditions?

Evaluate the Diagonal of a Bivariate Functional Data Object

Values a Two-argument Functional Data Object

Extract the range from a basis object

predict.fRegress

Predict method for Functional Regression

Correlation matrix from functional data object(s)

Fit Fully Functional Linear Model

Compute GCV Criterion

Evaluates a monotone function

Evaluate Monomial Roughness Penalty Matrix

residuals.fRegress

Residuals from a Functional Regression

Polygonal Penalty Matrix

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

Values of a Monotone Functional Data Object

Permutation F-test for functional linear regression.

Numerical Solution mth Order Differential Equation System

Standard Deviation of Functional Data

Principal Differential Analysis

dateAccessories

Numeric and character vectors to facilitate working with dates

Decomposition for Amplitude and Phase Variation

Evaluate a Basis Penalty Matrix

CanadianWeather

Canadian average annual weather cycle

Plot Columns of Matrices

Mean of Functional Data

singular value decomposition with automatic error handling

Inner products of Functional Data Objects.

Order of a B-spline

smooth.monotone

Monotone Smoothing of Data

Smooth a functional data object using a directly specified roughness penalty

Fourier Basis Function Values

Exponential Basis Function Values

Reflux and tray level in a refinery

Fourier Penalty Matrix

Sea Bird Counts

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

Montreal Daily Temperature

Register Functional Data Objects Using a Continuous Criterion

Sum of Functional Data

Estimates a Smooth Warping Function

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

Summarize a Linear Differential Operator Object

Plot a functional parameter object with confidence limits

Taylor representation of a B-Spline

Summarize a Functional Parameter Object

Rotation of Functional Canonical Components with VARIMAX

Smooth Data with a Positive Function

Compute Inner Products B-spline Expansions.

Stability Analysis for Principle Differential Analysis

summary.basisfd

Summarize a Functional Data Object

Plot a Linear Differential Operator Object

Plot a Functional Data Object

Convert a spline object to class 'fd'

Rotation of Functional Principal Components with VARIMAX Criterion

Intensity Function for Point Process

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

Add names to an object

Continuously Stirred Tank Reactor

Confirm Object is Class "Basisfd"

Correct for initial position error between functional data objects.

Compare dimensions and dimnames of arrays

Define a Functional Parameter Object

Power Basis Function Values

Confirm Object has Class "fdPar"

Winsorized Regression

Winsorized Regression with mixed effects

predict.lmWinsor

Predict method for Winsorized linear model fits

Mark Intervals on a Plot Axis

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

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

create.constant.basis

Create a Constant Basis

Smooth a discrete surface over a rectangular lattice

growth in height of one 10-year-old boy

Does the range of the input contain 0?

Check a vector of weights

Plot a Basis Object

Plot Functional Principal Components

Approximate Functional Data Using a Basis

Download data from the Human Mortality Database (HMD)

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

arithmetic.basisfd

Arithmatic on functional basis objects

Create a bivariate functional data object

Compute a Probability Density Function

Convert a univariate functional data object to s list

Convert Degrees of Freedom to a Smoothing Parameter Value

Nondurable goods index

Polygonal Basis Function Values

solve(A, B) where A is symmetric

Make a Linear Differential Operator Object from a Vector

Eigenanalysis preserving dimnames

Values of a Functional Data Object

Define a Functional Data Object

Hip and knee angle while walking

getbasispenalty

Evaluate a Roughness Penalty Matrix

Extract the knots from a function basis or data object

Functional Principal Components Analysis

Plot a Functional Data Object With Data

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