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fda (version 2.4.4)

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

15,929

Version

2.4.4

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

December 16th, 2014

Functions in fda (2.4.4)

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

Convert a spline object to class 'fd'

df.residual.fRegress

Degress of Freedom for Residuals from a Functional Regression

Values of a Monotone Functional Data Object

Evaluates a monotone function

Add 'fdaM' to the Matlab path

F-statistic for functional linear regression.

Regina Daily Precipitation

Polygonal Penalty Matrix

Swap argvals with y if the latter is simpler.

Taylor representation of a B-Spline

Add Lines from Functional Data to a Plot

Eigenanalysis preserving dimnames

Compute a Probability Density Function

Montreal Daily Temperature

Intensity Function for Point Process

Arithmetic on functional data ('fd') objects

Exponential Penalty Matrix

Plot a Linear Differential Operator Object

Functional Canonical Correlation Analysis

Smooth Data with a Positive Function

Define a Bivariate Functional Parameter Object

create.bspline.basis

Create a B-spline Basis

Reflux and tray level in a refinery

create.exponential.basis

Create an Exponential Basis

dateAccessories

Numeric and character vectors to facilitate working with dates

Get subdirectories

Values of Basis Functions or their Derivatives

Convert a univariate functional data object to s list

Convert Integer to Linear Differential Operator

Fit Fully Functional Linear Model

Values a Two-argument Functional Data Object

summary.basisfd

Summarize a Functional Data Object

Evaluate a Positive Functional Data Object

Confirm Object is Class "Basisfd"

Cursive handwriting samples

Support functions for lmWinsor

create.monomial.basis

Create a Monomial Basis

create.constant.basis

Create a Constant Basis

Plot a functional parameter object with confidence limits

Correlation matrix from functional data object(s)

Confirm Object has Class "fd"

Standard Deviation of Functional Data

solve(A, B) where A is symmetric

Extract the knots from a function basis or data object

Functional Boxplots

Correct for initial position error between functional data objects.

Summarize a Bivariate Functional Data Object

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

Sea Bird Counts

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

Center Functional Data

Evaluate a Basis Penalty Matrix

Define a Functional Data Object

Copy a file with a default 'to' name

Values of Basis Functions or their Derivatives

Mark Intervals on a Plot Axis

Plot Functional Principal Components

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

create.fourier.basis

Create a Fourier Basis

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

Evaluate the Diagonal of a Bivariate Functional Data Object

Plot Columns of Matrices

growth in height of one 10-year-old boy

Order of a B-spline

melanoma 1936-1972

Winsorized Regression

singular value decomposition with automatic error handling

CanadianWeather

Canadian average annual weather cycle

Functional Data Analysis in R

Evaluate Monomial Basis

Create a functional data object from data

Permutation F-test for functional linear regression.

residuals.fRegress

Residuals from a Functional Regression

Generalized eigenanalysis

Create a bivariate functional data object

create.power.basis

Create a Power Basis Object

create.polygonal.basis

Create a Polygonal Basis

Plot a Basis Object

Register Functional Data Objects Using a Continuous Criterion

smooth.monotone

Monotone Smoothing of Data

Summarize a Functional Data Object

Register Functional Data Objects with Pre-Computed Warping Functions

checkLogicalInteger

Does an argument satisfy required conditions?

Nondurable goods index

Add names to an object

Plot Cycles for a Periodic Bivariate Functional Data Object

predict.fRegress

Predict method for Functional Regression

exponentiate.fd

Powers of a functional data ('fd') object

Fourier Penalty Matrix

Smooth a discrete surface over a rectangular lattice

Confirm Object has Class "fdSmooth"

Continuously Stirred Tank Reactor

Confirm Object has Class "fdPar"

Convert Smoothing Parameter to Degrees of Freedom

Inner products of Functional Data Objects.

getbasispenalty

Evaluate a Roughness Penalty Matrix

Confirm Object has Class "Lfd"

Extract plot labels and names for replicates and variables

Exponential Basis Function Values

Numerical Solution mth Order Differential Equation System

Define a Functional Basis Object

Mean of Functional Data

predict.lmeWinsor

Predict method for Winsorized linear model fits with mixed effects

Fourier Basis Function Values

Does the range of the input contain 0?

Principal Differential Analysis

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

Polygonal Basis Function Values

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

Reshape a vector or array to have 3 dimensions.

Quadrature points and weights for Simpson's rule

Summarize a Functional Parameter Object

Hip and knee angle while walking

Rotation of Functional Canonical Components with VARIMAX

Power Penalty Matrix

Power Basis Function Values

basisfd.product

Product of two basisfd objects

landmark.reg.expData

Experiment data for landmark registration and alignment

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

Phase-plane plot

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

Plot Principal Component Scores

Functional Principal Components Analysis

Extract functional coefficients

Make a Linear Differential Operator Object from a Vector

B-spline Basis Function Values

Sum of Functional Data

Evaluate Monomial Roughness Penalty Matrix

Functional Regression Analysis

Values of a Functional Data Object

Decomposition for Amplitude and Phase Variation

Smooth a functional data object using a directly specified roughness penalty

Define a Functional Parameter Object

Compute Inner Products B-spline Expansions.

Compute GCV Criterion

Winsorized Regression with mixed effects

Plot a Functional Data Object With Data

Define a Linear Differential Operator Object

arithmetic.basisfd

Arithmatic on functional basis objects

Test if running as CRAN

Statistical Science in Chinese

Compare dimensions and dimnames of arrays

Convert Degrees of Freedom to a Smoothing Parameter Value

Berkeley Growth Study data

Tibia Length for One Baby

Approximate Functional Data Using a Basis

Plot a Functional Data Object

Download data from the Human Mortality Database (HMD)

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

Rotation of Functional Principal Components with VARIMAX Criterion

Stability Analysis for Principle Differential Analysis

B-Spline Penalty Matrix

Extract the range from a basis object

predict.lmWinsor

Predict method for Winsorized linear model fits

Estimates a Smooth Warping Function

Summarize a Linear Differential Operator Object

Create Basis Set for Functional Data Analysis

Compute a Derivative of a Functional Data Object

Landmark Registration of Functional Observations

Check a vector of weights

pinch force data

Stability Analysis for Principle Differential Analysis

Plot Functional Canonical Correlation Weight Functions

Confirm that two objects of class "Basisfd" are identical

Plot Principle Differential Analysis Components

Plot the results of the registration of a set of curves