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fda (version 5.5.0)

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

16,499

Version

5.5.0

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

October 29th, 2021

Functions in fda (5.5.0)

Test if running as CRAN

Permutation F-test for functional linear regression.

Define a Linear Differential Operator Object

F-statistic for functional linear regression.

Create a functional data object from data

CanadianWeather

Canadian average annual weather cycle

Predicting electricity demand in Adelaide from temperature

Continuously Stirred Tank Reactor

Decomposition for Amplitude and Phase Variation

Eigenanalysis preserving dimnames

Reshape a vector or array to have 3 dimensions.

Arithmetic on functional data ('fd') objects

Regina Daily Precipitation

Extract functional coefficients

checkLogicalInteger

Does an argument satisfy required conditions?

Montreal Daily Temperature

Convert a spline object to class 'fd'

Define a Functional Basis Object

Mark Intervals on a Plot Axis

Functional Canonical Correlation Analysis

B-Spline Penalty Matrix

Statistical Science in Chinese

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

arithmetic.basisfd

Arithmatic on functional basis objects

create.fourier.basis

Create a Fourier Basis

Create Basis Set for Functional Data Analysis

basisfd.product

Product of two basisfd objects

create.bspline.basis

Create a B-spline Basis

Center Functional Data

Define a Bivariate Functional Parameter Object

Create a bivariate functional data object

Compare dimensions and dimnames of arrays

Plot Cycles for a Periodic Bivariate Functional Data Object

create.monomial.basis

Create a Monomial Basis

B-spline Basis Function Values

create.power.basis

Create a Power Basis Object

create.polygonal.basis

Create a Polygonal Basis

Correlation matrix from functional data object(s)

Extract the range from a basis object

Get subdirectories

exponentiate.fd

Powers of a functional data ('fd') object

Compute a Derivative of a Functional Data Object

Exponential Basis Function Values

Compute a Probability Density Function

Fourier Basis Function Values

Extract plot labels and names for replicates and variables

Confirm Object is Class "Basisfd"

getbasispenalty

Evaluate a Roughness Penalty Matrix

Confirm that two objects of class "Basisfd" are identical

Functional Boxplots

Plot Columns of Matrices

Evaluate a Basis Penalty Matrix

Stability Analysis for Principle Differential Analysis

Evaluate a Positive Functional Data Object

Evaluate the gradient of a monotone function

Evaluate the Hessian matrix of a monotone function

Mean of Functional Data

Define a Functional Data Object

create.constant.basis

Create a Constant Basis

Confirm Object has Class "fd"

Values of a Functional Data Object Defining Surprisal Curves.

df.residual.fRegress

Degrees of Freedom for Residuals from a Functional Regression

Convert fd or basisfd Objects to fdPar Objects

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

create.exponential.basis

Create an Exponential Basis

Exponential Penalty Matrix

Convert Degrees of Freedom to a Smoothing Parameter Value

Generalized eigenanalysis

Evaluate the Diagonal of a Bivariate Functional Data Object

dateAccessories

Numeric and character vectors to facilitate working with dates

Convert a univariate functional data object to a list

Values of Basis Functions or their Derivatives

Estimate of the covariance surface

pinch force data

Plot a functional parameter object with confidence limits

Define a Functional Parameter Object

Phase-plane plot

Plot a Functional Data Object With Data

Values of Basis Functions or their Derivatives

Berkeley Growth Study data

Values a Two-argument Functional Data Object

Values of a Functional Data Object

Landmark Registration of Functional Observations

melanoma 1936-1972

Confirm Object has Class "fdPar"

Evaluate Monomial Basis

landmark.reg.expData

Experiment data for landmark registration and alignment

Cursive handwriting samples

Evaluate Monomial Roughness Penalty Matrix

Intensity Function for Point Process

Evaluate the a monotone function

Plot Functional Canonical Correlation Weight Functions

predict.fRegress

Predict method for Functional Regression

Estimates a Smooth Warping Function Mapping an Interval into Itself.

Plot a Functional Data Object

Polynomial extrapolation for a converging sequence of one or more values

Confirm Object has Class "Lfd"

Approximate Functional Data Using a Basis

Add Lines from Functional Data to a Plot

Polygonal Basis Function Values

Quadrature points and weights for Simpson's rule

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

Estimates a Smooth Warping Function Mapping an Interval into Another

Fit Fully Functional Linear Model

Principal Differential Analysis

Stability Analysis for Principle Differential Analysis

Tibia Length for One Baby

Compute Inner Products B-spline Expansions.

Functional Data Analysis in R

Values of a Monotone Functional Data Object

Functional Regression Analysis

Sum of Functional Data

Summarize a Functional Parameter Object

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

solve(A, B) where A is symmetric

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

Fourier Penalty Matrix

Power Penalty Matrix

Hip and knee angle while walking

Confirm Object has Class "fdSmooth"

Plot the results of the registration of a set of curves

Register Functional Data Objects with Pre-Computed Warping Functions

Plot Principal Component Scores

Register Functional Data Objects Using a Continuous Criterion

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

Does the range of the input contain 0?

Orthonormal Matrix with Columns Summing to Zero

Reconstruct data curves using functional principal components

Extract the knots from a function basis or data object

Convert Smoothing Parameter to Degrees of Freedom

Smooth a discrete surface over a rectangular lattice

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

Inner products of Functional Data Objects.

Compute GCV Criterion

Convert Integer to Linear Differential Operator

Add names to an object

smooth.monotone

Monotone Smoothing of Data

Smooth a functional data object using a directly specified roughness penalty

Numerical Solution mth Order Differential Equation System

Check a step size value for being within parameter limits.

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

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

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

Fit data with surprisal smoothing.

Creates a list of sparse data from a matrix

Functional Principal Components Analysis

Evaluate the fit of surprisal curves to binned psychometric data.

Estimate the functional principal components

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

Nondurable goods index

Plot Functional Principal Components

Plot Principle Differential Analysis Components

Polygonal Penalty Matrix

Plot a Basis Object

Order of a B-spline

Plot a Linear Differential Operator Object

smooth.sparse.mean

Smooth the mean function of sparse data

Smooth Data with a Positive Function

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

Sea Bird Counts

Rotation of Functional Canonical Components with VARIMAX

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

Rotation of Functional Principal Components with VARIMAX Criterion

Estimates of functional Principal Component scores through PACE

Make a Linear Differential Operator Object from a Vector

Power Basis Function Values

smooth.basis.sparse

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

Standard Deviation of Functional Data

Summarize a Bivariate Functional Data Object

Summarize a Linear Differential Operator Object

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

Check Data Arrays for Smoothing Functions

summary.basisfd

Summarize a Functional Data Object

Summarize a Functional Data Object

Check a vector of weights