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fda (version 5.4.0)

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 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

15,929

Version

5.4.0

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

September 28th, 2021

Functions in fda (5.4.0)

Permutation F-test for functional linear regression.

Eigenanalysis preserving dimnames

Test if running as CRAN

Predicting electricity demand in Adelaide from temperature

F-statistic for functional linear regression.

Continuously Stirred Tank Reactor

CanadianWeather

Canadian average annual weather cycle

Create a functional data object from data

Define a Linear Differential Operator Object

Decomposition for Amplitude and Phase Variation

Mark Intervals on a Plot Axis

Statistical Science in Chinese

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

Define a Bivariate Functional Parameter Object

B-spline Basis Function Values

Arithmetic on functional data ('fd') objects

Create a bivariate functional data object

basisfd.product

Product of two basisfd objects

Define a Functional Basis Object

B-Spline Penalty Matrix

Functional Canonical Correlation Analysis

Convert a spline object to class 'fd'

Center Functional Data

Reshape a vector or array to have 3 dimensions.

create.polygonal.basis

Create a Polygonal Basis

create.fourier.basis

Create a Fourier Basis

create.monomial.basis

Create a Monomial Basis

Compare dimensions and dimnames of arrays

Compute a Probability Density Function

create.power.basis

Create a Power Basis Object

Estimate of the covariance surface

Values of Basis Functions or their Derivatives

Get subdirectories

Correlation matrix from functional data object(s)

Compute a Derivative of a Functional Data Object

Create Basis Set for Functional Data Analysis

checkLogicalInteger

Does an argument satisfy required conditions?

Extract functional coefficients

arithmetic.basisfd

Arithmatic on functional basis objects

Values of a Functional Data Object

Montreal Daily Temperature

create.bspline.basis

Create a B-spline Basis

Values a Two-argument Functional Data Object

Plot Cycles for a Periodic Bivariate Functional Data Object

Values of a Monotone Functional Data Object

dateAccessories

Numeric and character vectors to facilitate working with dates

Exponential Penalty Matrix

Regina Daily Precipitation

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

create.constant.basis

Create a Constant Basis

df.residual.fRegress

Degrees of Freedom for Residuals from a Functional Regression

create.exponential.basis

Create an Exponential Basis

Exponential Basis Function Values

Convert Degrees of Freedom to a Smoothing Parameter Value

Stability Analysis for Principle Differential Analysis

exponentiate.fd

Powers of a functional data ('fd') object

Tibia Length for One Baby

Compute Inner Products B-spline Expansions.

Inner products of Functional Data Objects.

Evaluate a Basis Penalty Matrix

Values of a Functional Data Object Defining Surprisal Curves.

Convert fd or basisfd Objects to fdPar Objects

Extract plot labels and names for replicates and variables

Confirm Object has Class "fdSmooth"

Fourier Basis Function Values

Berkeley Growth Study data

Functional Data Analysis in R

Evaluate a Positive Functional Data Object

Convert a univariate functional data object to a list

Evaluate the Diagonal of a Bivariate Functional Data Object

Values of Basis Functions or their Derivatives

Extract the knots from a function basis or data object

Generalized eigenanalysis

Define a Functional Parameter Object

Functional Boxplots

Cursive handwriting samples

Convert Integer to Linear Differential Operator

Add Lines from Functional Data to a Plot

landmark.reg.expData

Experiment data for landmark registration and alignment

Confirm that two objects of class "Basisfd" are identical

Confirm Object is Class "Basisfd"

Landmark Registration of Functional Observations

Define a Functional Data Object

Fourier Penalty Matrix

Functional Regression Analysis

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

getbasispenalty

Evaluate a Roughness Penalty Matrix

Hip and knee angle while walking

Intensity Function for Point Process

Fit Fully Functional Linear Model

Confirm Object has Class "fd"

Estimate the functional principal components

Functional Principal Components Analysis

Plot a functional parameter object with confidence limits

Extract the range from a basis object

Search along a line for a minimum within an optimisation algorithm.

melanoma 1936-1972

Confirm Object has Class "fdPar"

Add names to an object

Evaluates a monotone function

Phase-plane plot

Plot a Linear Differential Operator Object

pinch force data

Plot Functional Canonical Correlation Weight Functions

Compute GCV Criterion

Numerical Solution mth Order Differential Equation System

Evaluate Monomial Roughness Penalty Matrix

Plot a Functional Data Object

Evaluate Monomial Basis

Standard Deviation of Functional Data

Convert Smoothing Parameter to Degrees of Freedom

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

Plot Principal Component Scores

Plot the results of the registration of a set of curves

Register Functional Data Objects with Pre-Computed Warping Functions

Estimates of functional Principal Component scores through PACE

Plot a Functional Data Object With Data

Stability Analysis for Principle Differential Analysis

Principal Differential Analysis

Confirm Object has Class "Lfd"

Sea Bird Counts

Plot Columns of Matrices

Plot a Basis Object

predict.fRegress

Predict method for Functional Regression

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

Approximate Functional Data Using a Basis

Mean of Functional Data

Nondurable goods index

Quadrature points and weights for Simpson's rule

Polygonal Basis Function Values

Plot Functional Principal Components

Order of a B-spline

Smooth Data with a Positive Function

smooth.sparse.mean

Smooth the mean function of sparse data

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

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

Check a step size value for being within parameter limits.

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

Compute a new step size for a linear search within an optimization algorithm.

Sum of Functional Data

Smooth a discrete surface over a rectangular lattice

Plot Principle Differential Analysis Components

Summarize a Functional Parameter Object

Power Penalty Matrix

Power Basis Function Values

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

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

Rotation of Functional Canonical Components with VARIMAX

Reconstruct data curves using functional principal components

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

Polygonal Penalty Matrix

Register Functional Data Objects Using a Continuous Criterion

Evaluate the fit of surprisal curves to binned psychometric data.

Smooth a functional data object using a directly specified roughness penalty

Orthonormal Matrix with Columns Summing to Zero

Does the range of the input contain 0?

smooth.monotone

Monotone Smoothing of Data

Check Data Arrays for Smoothing Functions

Check a vector of weights

Estimates a Smooth Warping Function

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

Creates a list of sparse data from a matrix

Fit data with surprisal smoothing.

Summarize a Linear Differential Operator Object

summary.basisfd

Summarize a Functional Data Object

solve(A, B) where A is symmetric

Summarize a Functional Data Object

Summarize a Bivariate Functional Data Object

Rotation of Functional Principal Components with VARIMAX Criterion

Make a Linear Differential Operator Object from a Vector