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fda (version 6.1.4)

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

6.1.4

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

May 23rd, 2023

Functions in fda (6.1.4)

Create a functional data object from data

Continuously Stirred Tank Reactor

Test if running as CRAN

Permutation F-test for functional linear regression.

CanadianWeather

Canadian average annual weather cycle

Eigenanalysis preserving dimnames

Predicting electricity demand in Adelaide from temperature

Decomposition for Amplitude and Phase Variation

F-statistic for functional linear regression.

Define a Linear Differential Operator Object

Reshape a vector or array to have 3 dimensions.

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

Montreal Daily Temperature

Define a Functional Basis Object

basisfd.product

Product of two basisfd objects

arithmetic.basisfd

Arithmatic on functional basis objects

Regina Daily Precipitation

B-Spline Penalty Matrix

B-spline Basis Function Values

Correlation matrix from functional data object(s)

Arithmetic on functional data ('fd') objects

Extract functional coefficients

Compare dimensions and dimnames of arrays

checkLogicalInteger

Does an argument satisfy required conditions?

Functional Canonical Correlation Analysis

Create a bivariate functional data object

Mark Intervals on a Plot Axis

Convert a spline object to class 'fd'

Define a Bivariate Functional Parameter Object

Center Functional Data

create.power.basis

Create a Power Basis Object

create.monomial.basis

Create a Monomial Basis

Estimate of the covariance surface

create.polygonal.basis

Create a Polygonal Basis

Create Basis Set for Functional Data Analysis

create.constant.basis

Create a Constant Basis

create.bspline.basis

Create a B-spline Basis

Compute a Cumulative Distribution Functional Data Object

Compute a Probability Density Function

create.exponential.basis

Create an Exponential Basis

df.residual.fRegress

Degrees of Freedom for Residuals from a Functional Regression

Convert Degrees of Freedom to a Smoothing Parameter Value

Stability Analysis for Principle Differential Analysis

Get subdirectories

Compute a Derivative of a Functional Data Object

Values a Two-argument Functional Data Object

Values of Basis Functions or their Derivatives

Exponential Basis Function Values

create.fourier.basis

Create a Fourier Basis

Plot Cycles for a Periodic Bivariate Functional Data Object

exponentiate.fd

Powers of a functional data ('fd') object

Evaluate a Basis Penalty Matrix

Evaluate a Positive Functional Data Object

Exponential Penalty Matrix

dateAccessories

Numeric and character vectors to facilitate working with dates

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

Values of a Functional Data Object Defining Surprisal Curves.

Functional Boxplots

Values of a Functional Data Object

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

Functional Regression Analysis

Convert fd or basisfd Objects to fdPar Objects

Define a Functional Data Object

Functions for statistical analyses of functions

Evaluate the Diagonal of a Bivariate Functional Data Object

Values of Basis Functions or their Derivatives

Extract plot labels and names for replicates and variables

Generalized eigenanalysis

Berkeley Growth Study data

Cursive handwriting samples

Extract the range from a basis object

Values of a Monotone Functional Data Object

Intensity Function for Point Process

getbasispenalty

Evaluate a Roughness Penalty Matrix

Confirm Object has Class "fd"

Convert a univariate functional data object to a list

Confirm Object has Class "Lfd"

Confirm Object has Class "fdSmooth"

Extract the knots from a function basis or data object

Confirm Object has Class "fdPar"

Define a Functional Parameter Object

Fit Fully Functional Linear Model

Landmark Registration of Functional Observations with Differing Ranges

Fourier Basis Function Values

Add Lines from Functional Data to a Plot

Nondurable goods index

Tibia Length for One Baby

Compute Inner Products B-spline Expansions.

Evaluate Monomial Roughness Penalty Matrix

Inner products of Functional Data Objects.

Numerical Solution mth Order Differential Equation System

Functional Principal Components Analysis

Evaluate the a monotone function

melanoma 1936-1972

Mean of Functional Data

Convert Integer to Linear Differential Operator

Convert Smoothing Parameter to Degrees of Freedom

Evaluate the Hessian matrix of a monotone function

Compute GCV Criterion

Fourier Penalty Matrix

Evaluate the gradient of a monotone function

Confirm Object is Class "Basisfd"

Evaluate Monomial Basis

Hip and knee angle while walking

Confirm that two objects of class "Basisfd" are identical

Estimate the functional principal components

Stability Analysis for Principle Differential Analysis

Principal Differential Analysis

pinch force data

Plot a Linear Differential Operator Object

Plot a Functional Data Object

Plot Principle Differential Analysis Components

Plot a functional parameter object with confidence limits

Phase-plane plot

Reflux and tray level in a refinery

Polygonal Penalty Matrix

Plot Functional Principal Components

Power Basis Function Values

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

Sea Bird Counts

Standard Deviation of Functional Data

Polynomial extrapolation for a converging sequence of one or more values

predict.fRegress

Predict method for Functional Regression

Polygonal Basis Function Values

Register Functional Data Objects Using a Continuous Criterion

Plot Columns of Matrices

Approximate Functional Data Using a Basis

Order of a B-spline

Plot a Basis Object

Quadrature points and weights for Simpson's rule

Add names to an object

Power Penalty Matrix

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

Reconstruct data curves using functional principal components

Plot Functional Canonical Correlation Weight Functions

Smooth Data with a Positive Function

Plot a Functional Data Object With Data

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

smooth.sparse.mean

Smooth the mean function of sparse data

Smooth a discrete surface over a rectangular lattice

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

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

smooth.monotone

Monotone Smoothing of Data

Plot Principal Component Scores

Sum of Functional Data

Estimates of functional Principal Component scores through PACE

Register Functional Data Objects with Pre-Computed Warping Functions

Fit data with surprisal smoothing.

solve(A, B) where A is symmetric

Estimates a Smooth Warping Function Mapping an Interval into Another

Summarize a Bivariate Functional Data Object

Summarize a Functional Data Object

Creates a list of sparse data from a matrix

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

summary.basisfd

Summarize a Functional Data Object

Summarize a Functional Parameter Object

Summarize a Linear Differential Operator Object

Smooth a functional data object using a directly specified roughness penalty

Evaluate the fit of surprisal curves to binned psychometric data.

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

Check Data Arrays for Smoothing Functions

Check a vector of weights

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

Orthonormal Matrix with Columns Summing to Zero

Rotation of Functional Canonical Components with VARIMAX

Does the range of the input contain 0?

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)

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

Check a step size value for being within parameter limits.

Rotation of Functional Principal Components with VARIMAX Criterion

Make a Linear Differential Operator Object from a Vector