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fda (version 2.4.3)

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. 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

14,583

Version

2.4.3

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

May 23rd, 2014

Functions in fda (2.4.3)

Continuously Stirred Tank Reactor

F-statistic for functional linear regression.

Decomposition for Amplitude and Phase Variation

Eigenanalysis preserving dimnames

arithmetic.basisfd

Arithmatic on functional basis objects

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

create.power.basis

Create a Power Basis Object

create.bspline.basis

Create a B-spline Basis

Copy a file with a default 'to' name

exponentiate.fd

Powers of a functional data ('fd') object

Numerical Solution mth Order Differential Equation System

Create a functional data object from data

basisfd.product

Product of two basisfd objects

Reshape a vector or array to have 3 dimensions.

CanadianWeather

Canadian average annual weather cycle

Functional Canonical Correlation Analysis

Add Lines from Functional Data to a Plot

create.polygonal.basis

Create a Polygonal Basis

Extract functional coefficients

B-spline Basis Function Values

Exponential Penalty Matrix

Exponential Basis Function Values

Taylor representation of a B-Spline

Define a Functional Basis Object

Evaluate the Diagonal of a Bivariate Functional Data Object

Nondurable goods index

Test if running as CRAN

Correlation matrix from functional data object(s)

Intensity Function for Point Process

Evaluate a Basis Penalty Matrix

Polygonal Penalty Matrix

Center Functional Data

Stability Analysis for Principle Differential Analysis

Define a Linear Differential Operator Object

Extract plot labels and names for replicates and variables

Montreal Daily Temperature

Evaluate a Positive Functional Data Object

Winsorized Regression

summary.basisfd

Summarize a Functional Data Object

Winsorized Regression with mixed effects

Arithmetic on functional data ('fd') objects

Convert a spline object to class 'fd'

Fourier Penalty Matrix

create.fourier.basis

Create a Fourier Basis

Compute a Probability Density Function

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

Define a Functional Data Object

Values a Two-argument Functional Data Object

Confirm Object has Class "fd"

Functional Principal Components Analysis

Statistical Science in Chinese

Convert Degrees of Freedom to a Smoothing Parameter Value

Evaluates a monotone function

Plot a Functional Data Object

Functional Data Analysis in R

Add names to an object

Mark Intervals on a Plot Axis

Permutation F-test for functional linear regression.

Download data from the Human Mortality Database (HMD)

Extract the range from a basis object

Sum of Functional Data

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

Phase-plane plot

Confirm Object is Class "Basisfd"

Convert Smoothing Parameter to Degrees of Freedom

Polygonal Basis Function Values

Evaluate Monomial Basis

Define a Bivariate Functional Parameter Object

Fit Fully Functional Linear Model

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

Convert Integer to Linear Differential Operator

Compute GCV Criterion

Check a vector of weights

create.exponential.basis

Create an Exponential Basis

checkLogicalInteger

Does an argument satisfy required conditions?

Values of Basis Functions or their Derivatives

Summarize a Functional Parameter Object

melanoma 1936-1972

Regina Daily Precipitation

Values of Basis Functions or their Derivatives

Principal Differential Analysis

dateAccessories

Numeric and character vectors to facilitate working with dates

Landmark Registration of Functional Observations

create.monomial.basis

Create a Monomial Basis

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

Hip and knee angle while walking

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

Compare dimensions and dimnames of arrays

B-Spline Penalty Matrix

Generalized eigenanalysis

create.constant.basis

Create a Constant Basis

Smooth a discrete surface over a rectangular lattice

Plot a Linear Differential Operator Object

Add 'fdaM' to the Matlab path

Fourier Basis Function Values

Plot a Functional Data Object With Data

smooth.monotone

Monotone Smoothing of Data

Estimates a Smooth Warping Function

Approximate Functional Data Using a Basis

Rotation of Functional Principal Components with VARIMAX Criterion

predict.lmWinsor

Predict method for Winsorized linear model fits

singular value decomposition with automatic error handling

Functional Boxplots

Compute Inner Products B-spline Expansions.

Plot Columns of Matrices

Rotation of Functional Canonical Components with VARIMAX

Plot a functional parameter object with confidence limits

Smooth a functional data object using a directly specified roughness penalty

Order of a B-spline

Register Functional Data Objects Using a Continuous Criterion

predict.lmeWinsor

Predict method for Winsorized linear model fits with mixed effects

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

Power Basis Function Values

Summarize a Functional Data Object

Plot Principal Component Scores

Correct for initial position error between functional data objects.

solve(A, B) where A is symmetric

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

Summarize a Bivariate Functional Data Object

Support functions for lmWinsor

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

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

Berkeley Growth Study data

Make a Linear Differential Operator Object from a Vector

Extract the knots from a function basis or data object

Does the range of the input contain 0?

Get subdirectories

Plot Functional Principal Components

Values of a Monotone Functional Data Object

df.residual.fRegress

Degress of Freedom for Residuals from a Functional Regression

Functional Regression Analysis

Power Penalty Matrix

Register Functional Data Objects with Pre-Computed Warping Functions

Smooth Data with a Positive Function

Summarize a Linear Differential Operator Object

Sea Bird Counts

pinch force data

Cursive handwriting samples

Mean of Functional Data

landmark.reg.expData

Experiment data for landmark registration and alignment

Standard Deviation of Functional Data

Quadrature points and weights for Simpson's rule

Compute a Derivative of a Functional Data Object

Confirm Object has Class "Lfd"

Confirm Object has Class "fdPar"

Tibia Length for One Baby

residuals.fRegress

Residuals from a Functional Regression

Swap argvals with y if the latter is simpler.

Create a bivariate functional data object

Confirm Object has Class "fdSmooth"

Evaluate Monomial Roughness Penalty Matrix

Reflux and tray level in a refinery

Plot Cycles for a Periodic Bivariate Functional Data Object

Create Basis Set for Functional Data Analysis

Values of a Functional Data Object

Convert a univariate functional data object to s list

Define a Functional Parameter Object

Inner products of Functional Data Objects.

growth in height of one 10-year-old boy

predict.fRegress

Predict method for Functional Regression

Plot a Basis Object

getbasispenalty

Evaluate a Roughness Penalty Matrix