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fda (version 5.1.4)

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 and 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 are available by ftp from .

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Version

Install

install.packages('fda')

Monthly Downloads

17,533

Version

5.1.4

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

April 20th, 2020

Functions in fda (5.1.4)

arithmetic.basisfd

Arithmatic on functional basis objects

Extract functional coefficients

Compare dimensions and dimnames of arrays

Convert a spline object to class 'fd'

Reshape a vector or array to have 3 dimensions.

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

basisfd.product

Product of two basisfd objects

Define a Functional Basis Object

Montreal Daily Temperature

Functional Canonical Correlation Analysis

Correlation matrix from functional data object(s)

create.exponential.basis

Create an Exponential Basis

Arithmetic on functional data ('fd') objects

create.fourier.basis

Create a Fourier Basis

Regina Daily Precipitation

B-spline Basis Function Values

Mark Intervals on a Plot Axis

create.monomial.basis

Create a Monomial Basis

Get subdirectories

Center Functional Data

Estimate of the covariance surface

create.constant.basis

Create a Constant Basis

checkLogicalInteger

Does an argument satisfy required conditions?

Create Basis Set for Functional Data Analysis

B-Spline Penalty Matrix

Values of a Monotone Functional Data Object

create.bspline.basis

Create a B-spline Basis

Values of a Functional Data Object

Convert Degrees of Freedom to a Smoothing Parameter Value

Hip and knee angle while walking

Evaluate a Positive Functional Data Object

Compute Inner Products B-spline Expansions.

Stability Analysis for Principle Differential Analysis

Values of Basis Functions or their Derivatives

Generalized eigenanalysis

create.polygonal.basis

Create a Polygonal Basis

Evaluate a Basis Penalty Matrix

Inner products of Functional Data Objects.

Create a bivariate functional data object

Define a Bivariate Functional Parameter Object

Confirm Object has Class "fdPar"

Exponential Basis Function Values

Values a Two-argument Functional Data Object

Evaluate the Diagonal of a Bivariate Functional Data Object

Confirm Object has Class "fdSmooth"

Compute a Derivative of a Functional Data Object

create.power.basis

Create a Power Basis Object

exponentiate.fd

Powers of a functional data ('fd') object

Statistical Science in Chinese

Exponential Penalty Matrix

Compute a Probability Density Function

Landmark Registration of Functional Observations

Functional Boxplots

Plot Cycles for a Periodic Bivariate Functional Data Object

df.residual.fRegress

Degrees of Freedom for Residuals from a Functional Regression

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

Fourier Penalty Matrix

Convert Integer to Linear Differential Operator

Convert a univariate functional data object to a list

dateAccessories

Numeric and character vectors to facilitate working with dates

Define a Functional Data Object

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

Functional Data Analysis in R

Functional Regression Analysis

Fourier Basis Function Values

Intensity Function for Point Process

Compute GCV Criterion

Berkeley Growth Study data

landmark.reg.expData

Experiment data for landmark registration and alignment

Define a Functional Parameter Object

Tibia Length for One Baby

Extract plot labels and names for replicates and variables

melanoma 1936-1972

Evaluates a monotone function

Add Lines from Functional Data to a Plot

Confirm Object has Class "fd"

Cursive handwriting samples

Confirm that two objects of class "Basisfd" are identical

Extract the range from a basis object

Extract the knots from a function basis or data object

Convert Smoothing Parameter to Degrees of Freedom

Polygonal Basis Function Values

Plot Principal Component Scores

Plot a Linear Differential Operator Object

Numerical Solution mth Order Differential Equation System

Fit Fully Functional Linear Model

Values of Basis Functions or their Derivatives

Add names to an object

Plot the results of the registration of a set of curves

Order of a B-spline

Nondurable goods index

Plot a functional parameter object with confidence limits

Confirm Object has Class "Lfd"

getbasispenalty

Evaluate a Roughness Penalty Matrix

Principal Differential Analysis

Evaluate Monomial Roughness Penalty Matrix

Stability Analysis for Principle Differential Analysis

Polygonal Penalty Matrix

pinch force data

Reconstruct data curves using functional principal components

Standard Deviation of Functional Data

Plot Columns of Matrices

Evaluate Monomial Basis

Plot a Basis Object

Plot Functional Principal Components

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

Phase-plane plot

Confirm Object is Class "Basisfd"

predict.fRegress

Predict method for Functional Regression

Plot a Functional Data Object With Data

Register Functional Data Objects Using a Continuous Criterion

Mean of Functional Data

Sea Bird Counts

Estimate the functional principal components

Functional Principal Components Analysis

smooth.basis.sparse

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

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

Plot a Functional Data Object

Plot Principle Differential Analysis Components

Quadrature points and weights for Simpson's rule

Approximate Functional Data Using a Basis

Power Penalty Matrix

Estimates of functional Principal Component scores through PACE

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

smooth.sparse.mean

Smooth the mean function of sparse data

Plot Functional Canonical Correlation Weight Functions

Power Basis Function Values

Smooth Data with a Positive Function

summary.basisfd

Summarize a Functional Data Object

Smooth a functional data object using a directly specified roughness penalty

Register Functional Data Objects with Pre-Computed Warping Functions

Creates a list of sparse data from a matrix

Creates a matrix of sparse data with NAs out of a list

Smooth a discrete surface over a rectangular lattice

Summarize a Bivariate Functional Data Object

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

Check a vector of weights

smooth.monotone

Monotone Smoothing of Data

Estimates a Smooth Warping Function

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

Make a Linear Differential Operator Object from a Vector

Summarize a Linear Differential Operator Object

Approximate the functional inner product of two functional data objects using the trapezpoidal rule over a fine mesh of value.

Sum of Functional Data

Rotation of Functional Canonical Components with VARIMAX

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

Summarize a Functional Data Object

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

Rotation of Functional Principal Components with VARIMAX Criterion

Does the range of the input contain 0?

Summarize a Functional Parameter Object

singular value decomposition with automatic error handling

solve(A, B) where A is symmetric

Decomposition for Amplitude and Phase Variation

Permutation F-test for functional linear regression.

Create a functional data object from data

CanadianWeather

Canadian average annual weather cycle

Continuously Stirred Tank Reactor

Eigenanalysis preserving dimnames

F-statistic for functional linear regression.

Test if running as CRAN

Define a Linear Differential Operator Object