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fda (version 5.5.1)

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

5.5.1

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

November 17th, 2021

Functions in fda (5.5.1)

Permutation F-test for functional linear regression.

Mark Intervals on a Plot Axis

checkLogicalInteger

Does an argument satisfy required conditions?

Estimate of the covariance surface

Define a Functional Basis Object

Correlation matrix from functional data object(s)

Compute a Probability Density Function

Extract functional coefficients

F-statistic for functional linear regression.

Decomposition for Amplitude and Phase Variation

Test if running as CRAN

Values of a Functional Data Object Defining Surprisal Curves.

Define a Linear Differential Operator Object

Evaluate the Diagonal of a Bivariate Functional Data Object

Compute a Derivative of a Functional Data Object

Convert Smoothing Parameter to Degrees of Freedom

Montreal Daily Temperature

Reshape a vector or array to have 3 dimensions.

Compute GCV Criterion

Eigenanalysis preserving dimnames

Regina Daily Precipitation

Create a functional data object from data

Convert a spline object to class 'fd'

Add names to an object

arithmetic.basisfd

Arithmatic on functional basis objects

Numerical Solution mth Order Differential Equation System

Center Functional Data

Statistical Science in Chinese

create.constant.basis

Create a Constant Basis

Compare dimensions and dimnames of arrays

create.exponential.basis

Create an Exponential Basis

Define a Functional Data Object

Berkeley Growth Study data

Functional Boxplots

Continuously Stirred Tank Reactor

create.fourier.basis

Create a Fourier Basis

Create a bivariate functional data object

Values a Two-argument Functional Data Object

basisfd.product

Product of two basisfd objects

Exponential Penalty Matrix

Fourier Basis Function Values

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

Fourier Penalty Matrix

Values of Basis Functions or their Derivatives

Extract plot labels and names for replicates and variables

Hip and knee angle while walking

Polynomial extrapolation for a converging sequence of one or more values

Cursive handwriting samples

Order of a B-spline

Nondurable goods index

Confirm Object has Class "fd"

Confirm Object has Class "fdPar"

Plot a Linear Differential Operator Object

Confirm Object is Class "Basisfd"

Confirm that two objects of class "Basisfd" are identical

Polygonal Basis Function Values

landmark.reg.expData

Experiment data for landmark registration and alignment

Landmark Registration of Functional Observations

Reconstruct data curves using functional principal components

Quadrature points and weights for Simpson's rule

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

Smooth a discrete surface over a rectangular lattice

CanadianWeather

Canadian average annual weather cycle

Plot a Basis Object

B-Spline Penalty Matrix

melanoma 1936-1972

Plot Cycles for a Periodic Bivariate Functional Data Object

Functional Canonical Correlation Analysis

Create Basis Set for Functional Data Analysis

dateAccessories

Numeric and character vectors to facilitate working with dates

create.bspline.basis

Create a B-spline Basis

Plot the results of the registration of a set of curves

Values of a Monotone Functional Data Object

Convert fd or basisfd Objects to fdPar Objects

Functional Data Analysis in R

Generalized eigenanalysis

create.monomial.basis

Create a Monomial Basis

Values of a Functional Data Object

Evaluate the a monotone function

Values of Basis Functions or their Derivatives

Plot Functional Canonical Correlation Weight Functions

Arithmetic on functional data ('fd') objects

Plot a Functional Data Object

Plot a functional parameter object with confidence limits

Approximate Functional Data Using a Basis

Sea Bird Counts

predict.fRegress

Predict method for Functional Regression

Plot Principal Component Scores

Intensity Function for Point Process

Register Functional Data Objects Using a Continuous Criterion

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

Define a Bivariate Functional Parameter Object

Plot a Functional Data Object With Data

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

Convert Degrees of Freedom to a Smoothing Parameter Value

Exponential Basis Function Values

exponentiate.fd

Powers of a functional data ('fd') object

df.residual.fRegress

Degrees of Freedom for Residuals from a Functional Regression

Confirm Object has Class "Lfd"

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

Extract the range from a basis object

getbasispenalty

Evaluate a Roughness Penalty Matrix

B-spline Basis Function Values

Functional Regression Analysis

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

Confirm Object has Class "fdSmooth"

create.power.basis

Create a Power Basis Object

create.polygonal.basis

Create a Polygonal Basis

Plot Columns of Matrices

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

Stability Analysis for Principle Differential Analysis

Mean of Functional Data

Evaluate a Positive Functional Data Object

Get subdirectories

Evaluate a Basis Penalty Matrix

Extract the knots from a function basis or data object

Evaluate the gradient of a monotone function

Register Functional Data Objects with Pre-Computed Warping Functions

Add Lines from Functional Data to a Plot

Smooth a functional data object using a directly specified roughness penalty

Sum of Functional Data

Check a step size value for being within parameter limits.

Functional Principal Components Analysis

Evaluate the Hessian matrix of a monotone function

Estimate the functional principal components

Convert a univariate functional data object to a list

Plot Functional Principal Components

Define a Functional Parameter Object

Estimates of functional Principal Component scores through PACE

Standard Deviation of Functional Data

Plot Principle Differential Analysis Components

Summarize a Bivariate Functional Data Object

smooth.sparse.mean

Smooth the mean function of sparse data

smooth.monotone

Monotone Smoothing of Data

Smooth Data with a Positive Function

Tibia Length for One Baby

Rotation of Functional Canonical Components with VARIMAX

Summarize a Functional Data Object

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

Compute Inner Products B-spline Expansions.

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

Phase-plane plot

Fit data with surprisal smoothing.

Inner products of Functional Data Objects.

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

solve(A, B) where A is symmetric

Fit Fully Functional Linear Model

Check a vector of weights

Power Penalty Matrix

Convert Integer to Linear Differential Operator

pinch force data

Estimates a Smooth Warping Function Mapping an Interval into Itself.

Creates a list of sparse data from a matrix

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

Evaluate Monomial Basis

Evaluate Monomial Roughness Penalty Matrix

Stability Analysis for Principle Differential Analysis

Principal Differential Analysis

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

smooth.basis.sparse

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

Check Data Arrays for Smoothing Functions

Power Basis Function Values

Polygonal Penalty Matrix

Estimates a Smooth Warping Function Mapping an Interval into Another

Orthonormal Matrix with Columns Summing to Zero

Does the range of the input contain 0?

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

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

summary.basisfd

Summarize a Functional Data Object

Summarize a Linear Differential Operator Object

Evaluate the fit of surprisal curves to binned psychometric data.

Rotation of Functional Principal Components with VARIMAX Criterion

Summarize a Functional Parameter Object

Make a Linear Differential Operator Object from a Vector

Predicting electricity demand in Adelaide from temperature