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fda (version 6.0.3)

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

15,939

Version

6.0.3

License

GPL (>= 2)

Maintainer

S by Jim Ramsey

Last Published

April 26th, 2022

Functions in fda (6.0.3)

Test if running as CRAN

Eigenanalysis preserving dimnames

Predicting electricity demand in Adelaide from temperature

F-statistic for functional linear regression.

Decomposition for Amplitude and Phase Variation

CanadianWeather

Canadian average annual weather cycle

Create a functional data object from data

Permutation F-test for functional linear regression.

Define a Linear Differential Operator Object

Continuously Stirred Tank Reactor

Reshape a vector or array to have 3 dimensions.

Arithmetic on functional data ('fd') objects

Regina Daily Precipitation

Montreal Daily Temperature

Mark Intervals on a Plot Axis

Statistical Science in Chinese

arithmetic.basisfd

Arithmatic on functional basis objects

basisfd.product

Product of two basisfd objects

Extract functional coefficients

checkLogicalInteger

Does an argument satisfy required conditions?

Create a bivariate functional data object

Center Functional Data

Compare dimensions and dimnames of arrays

Define a Functional Basis Object

Estimate of the covariance surface

Functional Canonical Correlation Analysis

create.monomial.basis

Create a Monomial Basis

B-Spline Penalty Matrix

create.fourier.basis

Create a Fourier Basis

Convert a spline object to class 'fd'

create.power.basis

Create a Power Basis Object

Correlation matrix from functional data object(s)

create.polygonal.basis

Create a Polygonal Basis

B-spline Basis Function Values

Define a Bivariate Functional Parameter Object

Compute a Cumulative Distribution Functional Data Object

create.constant.basis

Create a Constant Basis

Stability Analysis for Principle Differential Analysis

Plot Cycles for a Periodic Bivariate Functional Data Object

create.exponential.basis

Create an Exponential Basis

Values of Basis Functions or their Derivatives

Create Basis Set for Functional Data Analysis

Values of a Functional Data Object Defining Surprisal Curves.

Evaluate a Positive Functional Data Object

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

Compute a Derivative of a Functional Data Object

exponentiate.fd

Powers of a functional data ('fd') object

df.residual.fRegress

Degrees of Freedom for Residuals from a Functional Regression

Exponential Penalty Matrix

Evaluate a Basis Penalty Matrix

Values of a Monotone Functional Data Object

Convert a univariate functional data object to a list

Define a Functional Data Object

dateAccessories

Numeric and character vectors to facilitate working with dates

Exponential Basis Function Values

Compute a Probability Density Function

Evaluate the Diagonal of a Bivariate Functional Data Object

Values a Two-argument Functional Data Object

Functional Data Analysis in R

Convert Degrees of Freedom to a Smoothing Parameter Value

create.bspline.basis

Create a B-spline Basis

Values of a Functional Data Object

Define a Functional Parameter Object

fRegress.stderr

Compute Standard errors of Coefficient Functions Estimated by Functional Regression Analysis

Extract the range from a basis object

Berkeley Growth Study data

Extract plot labels and names for replicates and variables

Tibia Length for One Baby

Cursive handwriting samples

Confirm Object has Class "fdPar"

Confirm Object has Class "fdSmooth"

Get subdirectories

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

Convert fd or basisfd Objects to fdPar Objects

Functional Boxplots

Compute Inner Products B-spline Expansions.

Inner products of Functional Data Objects.

Extract the knots from a function basis or data object

Evaluate the a monotone function

melanoma 1936-1972

getbasispenalty

Evaluate a Roughness Penalty Matrix

Estimate the functional principal components

Functional Principal Components Analysis

Values of Basis Functions or their Derivatives

Convert Integer to Linear Differential Operator

Plot Functional Principal Components

Register Functional Data Objects Using a Continuous Criterion

Register Functional Data Objects with Pre-Computed Warping Functions

Plot Principle Differential Analysis Components

Fourier Penalty Matrix

Fit Fully Functional Linear Model

Confirm that two objects of class "Basisfd" are identical

Convert Smoothing Parameter to Degrees of Freedom

Fourier Basis Function Values

Confirm Object has Class "fd"

Add Lines from Functional Data to a Plot

Landmark Registration of Functional Observations

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

Stability Analysis for Principle Differential Analysis

Intensity Function for Point Process

Plot a functional parameter object with confidence limits

predict.fRegress

Predict method for Functional Regression

Principal Differential Analysis

Plot a Functional Data Object With Data

Smooth a discrete surface over a rectangular lattice

Approximate Functional Data Using a Basis

Evaluate the Hessian matrix of a monotone function

Numerical Solution mth Order Differential Equation System

Evaluate the gradient of a monotone function

Add names to an object

smooth.basis.sparse

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

Check a step size value for being within parameter limits.

smooth.basisPar

Smooth Data Using a Directly Specified Roughness Penalty

Order of a B-spline

Nondurable goods index

Plot the results of the registration of a set of curves

Plot Principal Component Scores

Generalized eigenanalysis

Polygonal Penalty Matrix

Functional Regression Analysis

Hip and knee angle while walking

Power Basis Function Values

summary.basisfd

Summarize a Functional Data Object

Smooth a Functional Data Object Using an Indirectly Specified Roughness Penalty

Summarize a Bivariate Functional Data Object

Evaluate the fit of surprisal curves to binned psychometric data.

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

solve(A, B) where A is symmetric

Check a vector of weights

Make a Linear Differential Operator Object from a Vector

Estimates of functional Principal Component scores through PACE

Confirm Object is Class "Basisfd"

Confirm Object has Class "Lfd"

landmark.reg.expData

Experiment data for landmark registration and alignment

Compute GCV Criterion

Plot Columns of Matrices

Standard Deviation of Functional Data

Phase-plane plot

pinch force data

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

Summarize a Functional Data Object

Mean of Functional Data

Creates a list of sparse data from a matrix

Fit data with surprisal smoothing.

smooth.sparse.mean

Smooth the mean function of sparse data

Summarize a Functional Parameter Object

Rotate a Matrix of Component Loadings using the VARIMAX Criterion

Does the range of the input contain 0?

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

Check Data Arrays for Smoothing Functions

Orthonormal Matrix with Columns Summing to Zero

Evaluate Monomial Basis

Quadrature points and weights for Simpson's rule

Evaluate Monomial Roughness Penalty Matrix

Landmark Registration of Functional Observations with Differing Ranges

Plot Functional Canonical Correlation Weight Functions

Plot a Linear Differential Operator Object

Polynomial extrapolation for a converging sequence of one or more values

Reconstruct data curves using functional principal components

Polygonal Basis Function Values

Plot a Basis Object

Plot a Functional Data Object

Power Penalty Matrix

Smooth a functional data object using a directly specified roughness penalty

Estimates a Smooth Warping Function Mapping an Interval into Another

Smooth Data with a Positive Function

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

smooth.monotone

Monotone Smoothing of Data

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

Summarize a Linear Differential Operator Object

Sea Bird Counts

Sum of Functional Data

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

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

Rotation of Functional Canonical Components with VARIMAX

Rotation of Functional Principal Components with VARIMAX Criterion